Combining Philosophers

All the ideas for Thales, John Locke and Bertrand Russell

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866 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
A sense of timelessness is essential to wisdom [Russell]
1. Philosophy / B. History of Ideas / 2. Ancient Thought
Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales]
1. Philosophy / C. History of Philosophy / 5. Modern Philosophy / b. Modern philosophy beginnings
Russell started a whole movement in philosophy by providing an analysis of descriptions [Read on Russell]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophers must get used to absurdities [Russell]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy verifies that our hierarchy of instinctive beliefs is harmonious and consistent [Russell]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophers should be more inductive, and test results by their conclusions, not their self-evidence [Russell]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophical disputes are mostly hopeless, because philosophers don't understand each other [Russell]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Maybe analysis seeks the 'nominal essence', and metaphysics seeks the 'real essence' [Locke, by Mumford]
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Metaphysics cannot give knowledge of the universe as a whole [Russell]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Philosophical systems are interesting, but we now need a more objective scientific philosophy [Russell]
Hegel's confusions over 'is' show how vast systems can be built on simple errors [Russell]
Philosophers sometimes neglect truth and distort facts to attain a nice system [Russell]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
I am just an under-labourer, clearing the ground in preparation for knowledge [Locke]
Physicists accept particles, points and instants, while pretending they don't do metaphysics [Russell]
The business of metaphysics is to describe the world [Russell]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis gives us nothing but the truth - but never the whole truth [Russell]
Philosophy is logical analysis, followed by synthesis [Russell]
Only by analysing is progress possible in philosophy [Russell]
Analysis gives new knowledge, without destroying what we already have [Russell]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Common speech is vague; its vocabulary and syntax must be modified, for precision [Russell]
The study of grammar is underestimated in philosophy [Russell]
All philosophy should begin with an analysis of propositions [Russell]
'Socrates is human' expresses predication, and 'Socrates is a man' expresses identity [Russell]
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
We can't sharply distinguish variables, domains and values, if symbols frighten us [Russell]
When problems are analysed properly, they are either logical, or not philosophical at all [Russell]
A logical language would show up the fallacy of inferring reality from ordinary language [Russell]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analysis falsifies, if when the parts are broken down they are not equivalent to their sum [Russell]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is similar to science, and has no special source of wisdom [Russell]
Philosophy should be built on science, to reduce error [Russell]
Philosophers usually learn science from each other, not from science [Russell]
2. Reason / A. Nature of Reason / 6. Coherence
If one proposition is deduced from another, they are more certain together than alone [Russell]
2. Reason / A. Nature of Reason / 7. Status of Reason
Opposition to reason is mad [Locke]
2. Reason / B. Laws of Thought / 1. Laws of Thought
Three Laws of Thought: identity, contradiction, and excluded middle [Russell]
The law of contradiction is not a 'law of thought', but a belief about things [Russell]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Non-contradiction was learned from instances, and then found to be indubitable [Russell]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Reducing entities and premisses makes error less likely [Russell]
2. Reason / D. Definition / 3. Types of Definition
A definition by 'extension' enumerates items, and one by 'intension' gives a defining property [Russell]
2. Reason / D. Definition / 5. Genus and Differentia
Genus is a partial conception of species, and species a partial idea of individuals [Locke]
2. Reason / D. Definition / 6. Definition by Essence
Maybe Locke described the real essence of a person [Locke, by Pasnau]
2. Reason / D. Definition / 7. Contextual Definition
Any linguistic expression may lack meaning when taken out of context [Russell]
2. Reason / D. Definition / 11. Ostensive Definition
Empirical words need ostensive definition, which makes them egocentric [Russell]
2. Reason / D. Definition / 13. Against Definition
Definition by analysis into constituents is useless, because it neglects the whole [Russell]
In mathematics definitions are superfluous, as they name classes, and it all reduces to primitives [Russell]
2. Reason / F. Fallacies / 2. Infinite Regress
Infinite regresses have propositions made of propositions etc, with the key term reappearing [Russell]
2. Reason / F. Fallacies / 7. Ad Hominem
Ad Hominem: press a man with the consequences of his own principle [Locke]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
Asking whether man's will is free is liking asking if sleep is fast or virtue is square [Locke]
As well as a truth value, propositions have a range of significance for their variables [Russell]
'The number one is bald' or 'the number one is fond of cream cheese' are meaningless [Russell]
The sentence 'procrastination drinks quadruplicity' is meaningless, rather than false [Russell, by Orenstein]
The theory of types makes 'Socrates and killing are two' illegitimate [Russell]
3. Truth / A. Truth Problems / 1. Truth
Truth is a property of a belief, but dependent on its external relations, not its internal qualities [Russell]
3. Truth / A. Truth Problems / 3. Value of Truth
Nothing is so beautiful to the eye as truth is to the mind [Locke]
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth belongs to beliefs, not to propositions and sentences [Russell]
Truth and falsehood are properties of beliefs and statements [Russell]
What is true or false is not mental, and is best called 'propositions' [Russell]
In its primary and formal sense, 'true' applies to propositions, not beliefs [Russell]
Truth only belongs to mental or verbal propositions [Locke]
It is propositions which are true or false, though it is sometimes said of ideas [Locke]
If they refer to real substances, 'man' is a true idea and 'centaur' a false one [Locke]
3. Truth / A. Truth Problems / 7. Falsehood
A good theory of truth must make falsehood possible [Russell]
Asserting not-p is saying p is false [Russell]
3. Truth / B. Truthmakers / 1. For Truthmakers
The truth or falsehood of a belief depends upon a fact to which the belief 'refers' [Russell]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Facts make propositions true or false, and are expressed by whole sentences [Russell]
3. Truth / B. Truthmakers / 6. Making Negative Truths
It seems that when a proposition is false, something must fail to subsist [Russell]
3. Truth / B. Truthmakers / 8. Making General Truths
Not only atomic truths, but also general and negative truths, have truth-makers [Russell, by Rami]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
For Russell, both propositions and facts are arrangements of objects, so obviously they correspond [Horwich on Russell]
Truth as congruence may work for complex beliefs, but not for simple beliefs about existence [Joslin on Russell]
Beliefs are true if they have corresponding facts, and false if they don't [Russell]
Propositions of existence, generalities, disjunctions and hypotheticals make correspondence tricky [Russell]
3. Truth / D. Coherence Truth / 1. Coherence Truth
The coherence theory says falsehood is failure to cohere, and truth is fitting into a complete system of Truth [Russell]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
Coherence is not the meaning of truth, but an important test for truth [Russell]
More than one coherent body of beliefs seems possible [Russell]
If we suspend the law of contradiction, nothing will appear to be incoherent [Russell]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
An argument 'satisfies' a function φx if φa is true [Russell]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
"The death of Caesar is true" is not the same proposition as "Caesar died" [Russell]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
Many people can reason well, yet can't make a syllogism [Locke]
The mortality of Socrates is more certain from induction than it is from deduction [Russell]
The Darapti syllogism is fallacious: All M is S, all M is P, so some S is P' - but if there is no M? [Russell]
Syllogisms are verbal fencing, not discovery [Locke]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / e. Existential quantifier ∃
There are four experiences that lead us to talk of 'some' things [Russell]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null class is a fiction [Russell]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
Normally a class with only one member is a problem, because the class and the member are identical [Russell]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We can enumerate finite classes, but an intensional definition is needed for infinite classes [Russell]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
Members define a unique class, whereas defining characteristics are numerous [Russell]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity says 'for any inductive cardinal, there is a class having that many terms' [Russell]
We may assume that there are infinite collections, as there is no logical reason against them [Russell]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The British parliament has one representative selected from each constituency [Russell]
Choice shows that if any two cardinals are not equal, one must be the greater [Russell]
Choice is equivalent to the proposition that every class is well-ordered [Russell]
We can pick all the right or left boots, but socks need Choice to insure the representative class [Russell]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Axiom of Reducibility: there is always a function of the lowest possible order in a given level [Russell, by Bostock]
Reducibility: a family of functions is equivalent to a single type of function [Russell]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / c. Logical sets
The 'no classes' theory says the propositions just refer to the members [Russell]
Propositions about classes can be reduced to propositions about their defining functions [Russell]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Russell invented the naïve set theory usually attributed to Cantor [Russell, by Lavine]
4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets
Order rests on 'between' and 'separation' [Russell]
Order depends on transitive asymmetrical relations [Russell]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Russell's proposal was that only meaningful predicates have sets as their extensions [Russell, by Orenstein]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Classes can be reduced to propositional functions [Russell, by Hanna]
Classes, grouped by a convenient property, are logical constructions [Russell]
Classes are logical fictions, and are not part of the ultimate furniture of the world [Russell]
I gradually replaced classes with properties, and they ended as a symbolic convenience [Russell]
4. Formal Logic / G. Formal Mereology / 1. Mereology
The part-whole relation is ultimate and indefinable [Russell]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Subject-predicate logic (and substance-attribute metaphysics) arise from Aryan languages [Russell]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic gives the method of research in philosophy [Russell]
It is logic, not metaphysics, that is fundamental to philosophy [Russell]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
All the propositions of logic are completely general [Russell]
The physical world doesn't need logic, but the mental world does [Russell]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
In modern times, logic has become mathematical, and mathematics has become logical [Russell]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
Demonstration always relies on the rule that anything implied by a truth is true [Russell]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
Implication cannot be defined [Russell]
It would be circular to use 'if' and 'then' to define material implication [Russell]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logic can be known a priori, without study of the actual world [Russell]
The only classes are things, predicates and relations [Russell]
Logic can only assert hypothetical existence [Russell]
Logic is highly general truths abstracted from reality [Russell, by Glock]
Logic is concerned with the real world just as truly as zoology [Russell]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Geometrical axioms imply the propositions, but the former may not be true [Russell]
Mathematical proofs work, irrespective of whether the objects exist [Locke]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded middle can be stated psychologically, as denial of p implies assertion of not-p [Russell]
Russell's theories aim to preserve excluded middle (saying all sentences are T or F) [Sawyer on Russell]
Questions wouldn't lead anywhere without the law of excluded middle [Russell]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
'Elizabeth = Queen of England' is really a predication, not an identity-statement [Russell, by Lycan]
In a logically perfect language, there will be just one word for every simple object [Russell]
Romulus does not occur in the proposition 'Romulus did not exist' [Russell]
Vagueness, and simples being beyond experience, are obstacles to a logical language [Russell]
Leibniz bases everything on subject/predicate and substance/property propositions [Russell]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Logical constants seem to be entities in propositions, but are actually pure form [Russell]
We use logical notions, so they must be objects - but I don't know what they really are [Russell]
The logical connectives are not objects, but are formal, and need a context [Russell]
Logical connectives have the highest precision, yet are infected by the vagueness of true and false [Russell, by Williamson]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / b. Basic connectives
There seem to be eight or nine logical constants [Russell]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Negations are not just reversals of truth-value, since that can happen without negation [Wittgenstein on Russell]
Is it possible to state every possible truth about the whole course of nature without using 'not'? [Russell]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / e. or
'Or' expresses hesitation, in a dog at a crossroads, or birds risking grabbing crumbs [Russell]
'Or' expresses a mental state, not something about the world [Russell]
Maybe the 'or' used to describe mental states is not the 'or' of logic [Russell]
A disjunction expresses indecision [Russell]
Disjunction may also arise in practice if there is imperfect memory. [Russell]
5. Theory of Logic / E. Structures of Logic / 3. Constants in Logic
Constants are absolutely definite and unambiguous [Russell]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
Variables don't stand alone, but exist as parts of propositional functions [Russell]
The idea of a variable is fundamental [Russell]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
'Propositional functions' are ambiguous until the variable is given a value [Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
You can understand 'author of Waverley', but to understand 'Scott' you must know who it applies to [Russell]
There are a set of criteria for pinning down a logically proper name [Russell, by Sainsbury]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Asking 'Did Homer exist?' is employing an abbreviated description [Russell]
Russell says names are not denotations, but definite descriptions in disguise [Russell, by Kripke]
Russell says a name contributes a complex of properties, rather than an object [Russell, by Sawyer]
Are names descriptions, if the description is unknown, false, not special, or contains names? [McCullogh on Russell]
Proper names are really descriptions, and can be replaced by a description in a person's mind [Russell]
Treat description using quantifiers, and treat proper names as descriptions [Russell, by McCullogh]
Russell admitted that even names could also be used as descriptions [Russell, by Bach]
Names are really descriptions, except for a few words like 'this' and 'that' [Russell]
Names don't have a sense, but are disguised definite descriptions [Russell, by Sawyer]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
The meaning of a logically proper name is its referent, but most names are not logically proper [Russell, by Soames]
Logically proper names introduce objects; definite descriptions introduce quantifications [Russell, by Bach]
The only real proper names are 'this' and 'that'; the rest are really definite descriptions. [Russell, by Grayling]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Russell rewrote singular term names as predicates [Russell, by Ayer]
"Nobody" is not a singular term, but a quantifier [Russell, by Lycan]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
A name has got to name something or it is not a name [Russell]
Russell implies that all sentences containing empty names are false [Sawyer on Russell]
Names are meaningless unless there is an object which they designate [Russell]
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
The only genuine proper names are 'this' and 'that' [Russell]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / a. Descriptions
'I met a unicorn' is meaningful, and so is 'unicorn', but 'a unicorn' is not [Russell]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Critics say definite descriptions can refer, and may not embody both uniqueness and existence claims [Grayling on Russell]
Definite descriptions fail to refer in three situations, so they aren't essentially referring [Russell, by Sainsbury]
The phrase 'a so-and-so' is an 'ambiguous' description'; 'the so-and-so' (singular) is a 'definite' description [Russell]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
The theory of descriptions eliminates the name of the entity whose existence was presupposed [Russell, by Quine]
Russell's theory explains non-existents, negative existentials, identity problems, and substitutivity [Russell, by Lycan]
Russell showed how to define 'the', and thereby reduce the ontology of logic [Russell, by Lackey]
The theory of definite descriptions reduces the definite article 'the' to the concepts of predicate logic [Russell, by Horwich]
Russell implies that 'the baby is crying' is only true if the baby is unique [Grayling on Russell]
Russell explained descriptions with quantifiers, where Frege treated them as names [Russell, by McCullogh]
Russell avoids non-existent objects by denying that definite descriptions are proper names [Russell, by Miller,A]
Denying definite description sentences are subject-predicate in form blocks two big problems [Russell, by Forbes,G]
Russell says apparent referring expressions are really assertions about properties [Russell, by Cooper,DE]
Russell's theory must be wrong if it says all statements about non-existents are false [Read on Russell]
The theory of descriptions lacks conventions for the scope of quantifiers [Lackey on Russell]
Non-count descriptions don't threaten Russell's theory, which is only about singulars [Laycock on Russell]
Denoting is crucial in Russell's account of mathematics, for identifying classes [Russell, by Monk]
Russell's analysis means molecular sentences are ambiguous over the scope of the description [Kaplan on Russell]
5. Theory of Logic / G. Quantification / 1. Quantification
'Any' is better than 'all' where infinite classes are concerned [Russell]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
Existence is entirely expressed by the existential quantifier [Russell, by McGinn]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are known by their extreme generality [Russell]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Which premises are ultimate varies with context [Russell]
The sources of a proof are the reasons why we believe its conclusion [Russell]
Finding the axioms may be the only route to some new results [Russell]
Some axioms may only become accepted when they lead to obvious conclusions [Russell]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
The Achilles Paradox concerns the one-one correlation of infinite classes [Russell]
The tortoise won't win, because infinite instants don't compose an infinitely long time [Russell]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox
Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
Russell discovered the paradox suggested by Burali-Forti's work [Russell, by Lavine]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]
Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]
The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
Vicious Circle: what involves ALL must not be one of those ALL [Russell]
'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
A 'heterological' predicate can't be predicated of itself; so is 'heterological' heterological? Yes=no! [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
In geometry, Kant and idealists aimed at the certainty of the premisses [Russell]
Geometry throws no light on the nature of actual space [Russell]
Pure geometry is deductive, and neutral over what exists [Russell]
In geometry, empiricists aimed at premisses consistent with experience [Russell]
Two points have a line joining them (descriptive), a distance (metrical), and a whole line (projective) [Russell, by PG]
If straight lines were like ratios they might intersect at a 'gap', and have no point in common [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Russell's approach had to treat real 5/8 as different from rational 5/8 [Russell, by Dummett]
Ordinals result from likeness among relations, as cardinals from similarity among classes [Russell]
New numbers solve problems: negatives for subtraction, fractions for division, complex for equations [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Some claim priority for the ordinals over cardinals, but there is no logical priority between them [Russell]
Ordinals presuppose two relations, where cardinals only presuppose one [Russell]
Properties of numbers don't rely on progressions, so cardinals may be more basic [Russell]
Could a number just be something which occurs in a progression? [Russell, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Ordinals are defined through mathematical induction [Russell]
Ordinals are types of series of terms in a row, rather than the 'nth' instance [Russell]
Transfinite ordinals don't obey commutativity, so their arithmetic is quite different from basic arithmetic [Russell]
For Cantor ordinals are types of order, not numbers [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
We aren't sure if one cardinal number is always bigger than another [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are a class of rational numbers (and so not really numbers at all) [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A series can be 'Cut' in two, where the lower class has no maximum, the upper no minimum [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
A complex number is simply an ordered couple of real numbers [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
The idea of 'one' is the simplest, most obvious and most widespread idea [Locke]
Discovering that 1 is a number was difficult [Russell]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / b. Quantity
Some quantities can't be measured, and some non-quantities are measurable [Russell]
Quantity is not part of mathematics, where it is replaced by order [Russell]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Counting explains none of the real problems about the foundations of arithmetic [Russell]
Numbers are needed for counting, so they need a meaning, and not just formal properties [Russell]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We can define one-to-one without mentioning unity [Russell]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
The formal laws of arithmetic are the Commutative, the Associative and the Distributive [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
We do not currently know whether, of two infinite numbers, one must be greater than the other [Russell]
There are cardinal and ordinal theories of infinity (while continuity is entirely ordinal) [Russell]
Infinity and continuity used to be philosophy, but are now mathematics [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
Infinite numbers are distinguished by disobeying induction, and the part equalling the whole [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
If there were real infinities, you could add two together, which is ridiculous [Locke]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
ω names the whole series, or the generating relation of the series of ordinal numbers [Russell]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
You can't get a new transfinite cardinal from an old one just by adding finite numbers to it [Russell]
For every transfinite cardinal there is an infinite collection of transfinite ordinals [Russell]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Geometry is united by the intuitive axioms of projective geometry [Russell, by Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
The definition of order needs a transitive relation, to leap over infinite intermediate terms [Russell]
Axiom of Archimedes: a finite multiple of a lesser magnitude can always exceed a greater [Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Russell tried to replace Peano's Postulates with the simple idea of 'class' [Russell, by Monk]
Dedekind failed to distinguish the numbers from other progressions [Shapiro on Russell]
Any founded, non-repeating series all reachable in steps will satisfy Peano's axioms [Russell]
'0', 'number' and 'successor' cannot be defined by Peano's axioms [Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
Denying mathematical induction gave us the transfinite [Russell]
Finite numbers, unlike infinite numbers, obey mathematical induction [Russell]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Numbers were once defined on the basis of 1, but neglected infinities and + [Russell]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Numbers are properties of classes [Russell]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
A number is something which characterises collections of the same size [Russell]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
What matters is the logical interrelation of mathematical terms, not their intrinsic nature [Russell]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
Ordinals can't be defined just by progression; they have intrinsic qualities [Russell]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematics is just about ideas, so whether circles exist is irrelevant [Locke]
Mathematics doesn't care whether its entities exist [Russell]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Arithmetic was probably inferred from relationships between physical objects [Russell]
Every simple idea we ever have brings the idea of unity along with it [Locke]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Maths is not known by induction, because further instances are not needed to support it [Russell]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Maybe numbers are adjectives, since 'ten men' grammatically resembles 'white men' [Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
For Russell, numbers are sets of equivalent sets [Russell, by Benacerraf]
Pure mathematics is the class of propositions of the form 'p implies q' [Russell]
Maths can be deduced from logical axioms and the logic of relations [Russell]
We tried to define all of pure maths using logical premisses and concepts [Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
For 'x is a u' to be meaningful, u must be one range of individuals (or 'type') higher than x [Russell]
In 'x is a u', x and u must be of different types, so 'x is an x' is generally meaningless [Russell, by Magidor]
Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell]
Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave]
Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell]
Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Numbers are just verbal conveniences, which can be analysed away [Russell]
Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell]
Formalism can't apply numbers to reality, so it is an evasion [Russell]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Numbers are classes of classes, and hence fictions of fictions [Russell]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionism says propositions are only true or false if there is a method of showing it [Russell]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
We need rules for deciding which norms are predicative (unless none of them are) [Russell]
A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock]
Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock]
Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock]
A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
'Predicative' norms are those which define a class [Russell]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / e. Psychologism
There is always something psychological about inference [Russell]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Existence can only be asserted of something described, not of something named [Russell]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Being is what belongs to every possible object of thought [Russell]
7. Existence / A. Nature of Existence / 3. Being / b. Being and existence
Many things have being (as topics of propositions), but may not have actual existence [Russell]
7. Existence / A. Nature of Existence / 4. Abstract Existence
General and universal are not real entities, but useful inventions of the mind, concerning words or ideas [Locke]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Existences can only be known by experience [Locke]
What exists has causal relations, but non-existent things may also have them [Russell]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
In 1927, Russell analysed force and matter in terms of events [Russell, by Grayling]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
General facts supervene on particular facts, but cannot be inferred from them [Russell, by Bennett,K]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
Russell gave up logical atomism because of negative, general and belief propositions [Russell, by Read]
Comparisons boil down to simple elements of sensation or reflection [Locke]
Atomic facts may be inferrable from others, but never from non-atomic facts [Russell]
Russell's new logical atomist was of particulars, universals and facts (not platonic propositions) [Russell, by Linsky,B]
Russell's atomic facts are actually compounds, and his true logical atoms are sense data [Russell, by Quine]
Logical atomism aims at logical atoms as the last residue of analysis [Russell]
Once you have enumerated all the atomic facts, there is a further fact that those are all the facts [Russell]
Logical atoms aims to get down to ultimate simples, with their own unique reality [Russell]
To mean facts we assert them; to mean simples we name them [Russell]
'Simples' are not experienced, but are inferred at the limits of analysis [Russell]
Better to construct from what is known, than to infer what is unknown [Russell]
Given all true atomic propositions, in theory every other truth can thereby be deduced [Russell]
In 1899-1900 I adopted the philosophy of logical atomism [Russell]
Complex things can be known, but not simple things [Russell]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Continuity is a sufficient criterion for the identity of a rock, but not for part of a smooth fluid [Russell]
7. Existence / D. Theories of Reality / 2. Realism
God assures me of the existence of external things [Locke]
If two people perceive the same object, the object of perception can't be in the mind [Russell]
7. Existence / D. Theories of Reality / 3. Reality
Space is neutral between touch and sight, so it cannot really be either of them [Russell]
7. Existence / D. Theories of Reality / 4. Anti-realism
Visible things are physical and external, but only exist when viewed [Russell]
7. Existence / D. Theories of Reality / 7. Fictionalism
Classes are logical fictions, made from defining characteristics [Russell]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
You can't name all the facts, so they are not real, but are what propositions assert [Russell]
As propositions can be put in subject-predicate form, we wrongly infer that facts have substance-quality form [Russell]
Facts are everything, except simples; they are either relations or qualities [Russell]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Russell asserts atomic, existential, negative and general facts [Russell, by Armstrong]
7. Existence / D. Theories of Reality / 8. Facts / c. Facts and truths
In a world of mere matter there might be 'facts', but no truths [Russell]
7. Existence / D. Theories of Reality / 8. Facts / d. Negative facts
There can't be a negative of a complex, which is negated by its non-existence [Potter on Russell]
A positive and negative fact have the same constituents; their difference is primitive [Russell]
7. Existence / D. Theories of Reality / 9. States of Affairs
Modern trope theory tries, like logical atomism, to reduce things to elementary states [Russell, by Ellis]
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Obscure simple ideas result from poor senses, brief impressions, or poor memory [Locke]
Ideas are uncertain when they are unnamed, because too close to other ideas [Locke]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Since natural language is not precise it cannot be in the province of logic [Russell, by Keefe/Smith]
Vagueness is only a characteristic of representations, such as language [Russell]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
'Existence' means that a propositional function is sometimes true [Russell]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Russell showed that descriptions may not have ontological commitment [Russell, by Linsky,B]
7. Existence / E. Categories / 2. Categorisation
We can't categorise things by their real essences, because these are unknown [Locke]
If we discovered real essences, we would still categorise things by the external appearance [Locke]
7. Existence / E. Categories / 3. Proposed Categories
The Theory of Description dropped classes and numbers, leaving propositions, individuals and universals [Russell, by Monk]
Four classes of terms: instants, points, terms at instants only, and terms at instants and points [Russell]
7. Existence / E. Categories / 5. Category Anti-Realism
There are no gaps in the continuum of nature, and everything has something closely resembling it [Locke]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Philosophers of logic and maths insisted that a vocabulary of relations was essential [Russell, by Heil]
The only thing we can say about relations is that they relate [Russell]
Relational propositions seem to be 'about' their terms, rather than about the relation [Russell]
There is no complexity without relations, so no propositions, and no truth [Russell]
Because we depend on correspondence, we know relations better than we know the items that relate [Russell]
That Edinburgh is north of London is a non-mental fact, so relations are independent universals [Russell]
With asymmetrical relations (before/after) the reduction to properties is impossible [Russell]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
If a relation is symmetrical and transitive, it has to be reflexive [Russell]
'Reflexiveness' holds between a term and itself, and cannot be inferred from symmetry and transitiveness [Russell]
'Asymmetry' is incompatible with its converse; a is husband of b, so b can't be husband of a [Russell]
8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
Symmetrical and transitive relations are formally like equality [Russell]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]
When we attribute a common quality to a group, we can forget the quality and just talk of the group [Russell]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Russell can't attribute existence to properties [McGinn on Russell]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Trope theorists cannot explain how tropes resemble each other [Russell, by Mumford]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
We get the idea of power from our own actions, and the interaction of external bodies [Locke]
Power is active or passive, and has a relation to actions [Locke]
We can only know a thing's powers when we have combined it with many things [Locke]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
The essence of whiteness in a man is nothing but the power to produce the idea of whiteness [Locke]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
What is the texture - the real essence - which makes substances behave in distinct ways? [Locke]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Locke explains powers, but effectively eliminates them with his talk of internal structure [Locke, by Alexander,P]
8. Modes of Existence / D. Universals / 1. Universals
Locke, Berkeley and Hume did no serious thinking about universals [Robinson,H on Locke]
Every complete sentence must contain at least one word (a verb) which stands for a universal [Russell]
Propositions express relations (prepositions and verbs) as well as properties (nouns and adjectives) [Russell]
Confused views of reality result from thinking that only nouns and adjectives represent universals [Russell]
All universals are like the relation "is north of", in having no physical location at all [Russell, by Loux]
8. Modes of Existence / D. Universals / 2. Need for Universals
Every sentence contains at least one word denoting a universal, so we need universals to know truth [Russell]
We know a universal in 'yellow differs from blue' or 'yellow resembles blue less than green does' [Russell]
Russell claims that universals are needed to explain a priori knowledge (as their relations) [Russell, by Mellor/Oliver]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Normal existence is in time, so we must say that universals 'subsist' [Russell]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
If we identify whiteness with a thought, we can never think of it twice; whiteness is the object of a thought [Russell]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
All things that exist are particulars [Locke]
Universals do not exist, but are useful inventions of the mind, involving words or ideas [Locke]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
'Resemblance Nominalism' won't work, because the theory treats resemblance itself as a universal [Russell]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Universals can't just be words, because words themselves are universals [Russell]
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
If we consider whiteness to be merely a mental 'idea', we rob it of its universality [Russell]
9. Objects / A. Existence of Objects / 1. Physical Objects
A perceived physical object is events grouped around a centre [Russell]
Bodies distinctively have cohesion of parts, and power to communicate motion [Locke]
Physical things are series of appearances whose matter obeys physical laws [Russell]
9. Objects / A. Existence of Objects / 3. Objects in Thought
I call an object of thought a 'term'. This is a wide concept implying unity and existence. [Russell]
When I perceive a melody, I do not perceive the notes as existing [Russell]
9. Objects / A. Existence of Objects / 4. Impossible objects
Common sense agrees with Meinong (rather than Russell) that 'Pegasus is a flying horse' is true [Lackey on Russell]
If the King of France is not bald, and not not-bald, this violates excluded middle [Linsky,B on Russell]
I prefer to deny round squares, and deal with the difficulties by the theory of denoting [Russell]
On Meinong's principles 'the existent round square' has to exist [Russell]
9. Objects / A. Existence of Objects / 5. Simples
Unities are only in propositions or concepts, and nothing that exists has unity [Russell]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Viewing an object at an instant, we perceive identity when we see it must be that thing and not another [Locke]
Living things retain identity through change, by a principle of organisation [Locke]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
A thing is individuated just by existing at a time and place [Locke]
Obviously two bodies cannot be in the same place [Locke]
Objects only exist if they 'occupy' space and time [Russell]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
I speak of a 'sortal' name, from the word 'sort' [Locke]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
The only unities are simples, or wholes composed of parts [Russell]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A set has some sort of unity, but not enough to be a 'whole' [Russell]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Powers are part of our idea of substances [Locke]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
We can conceive of three sorts of substance: God, finite intelligence, and bodies [Locke]
We sort and name substances by nominal and not by real essence [Locke]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
We think of substance as experienced qualities plus a presumed substratum of support [Locke]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
We don't know what substance is, and only vaguely know what it does [Locke]
We need not deny substance, but there seems no reason to assert it [Russell]
The assumption by physicists of permanent substance is not metaphysically legitimate [Russell]
An object produces the same percepts with or without a substance, so that is irrelevant to science [Russell]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Locke may accept coinciding material substances, such as body, man and person [Locke, by Pasnau]
9. Objects / C. Structure of Objects / 5. Composition of an Object
A mass consists of its atoms, so the addition or removal of one changes its identity [Locke]
9. Objects / C. Structure of Objects / 7. Substratum
Complex ideas are collections of qualities we attach to an unknown substratum [Locke]
9. Objects / D. Essence of Objects / 1. Essences of Objects
Particular substances are coexisting ideas that seem to flow from a hidden essence [Locke]
The best I can make of real essence is figure, size and connection of solid parts [Locke]
Real essence is the constitution of the unknown parts of a body which produce its qualities [Locke]
9. Objects / D. Essence of Objects / 2. Types of Essence
Locke may distinguish real essence from internal constitution, claiming the latter is knowable [Locke, by Jones,J-E]
9. Objects / D. Essence of Objects / 3. Individual Essences
We can conceive an individual without assigning it to a kind [Locke, by Jolley]
You can't distinguish individuals without the species as a standard [Locke]
Many individuals grouped under one name vary more than some things that have different names [Locke]
Every individual thing which exists has an essence, which is its internal constitution [Locke]
The essence of individuality is beyond description, and hence irrelevant to science [Russell]
9. Objects / D. Essence of Objects / 5. Essence as Kind
The less rational view of essences is that they are moulds for kinds of natural thing [Locke]
Even real essence depends on a sort, since it is sorts which have the properties [Locke]
If every sort has its real essence, one horse, being many sorts, will have many essences [Locke]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Not all identity is unity of substance [Locke]
Essence is the very being of any thing, whereby it is what it is [Locke]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
We can only slightly know necessary co-existence of qualities, if they are primary [Locke]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Explanatory essence won't do, because it won't distinguish the accidental from the essential [Locke, by Pasnau]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Lockean real essence makes a thing what it is, and produces its observable qualities [Locke, by Jones,J-E]
Locke's essences determine the other properties, so the two will change together [Locke, by Copi]
It is impossible for two things with the same real essence to differ in properties [Locke]
We cannot know what properties are necessary to gold, unless we first know its real essence [Locke]
9. Objects / D. Essence of Objects / 10. Essence as Species
In our ideas, the idea of essence is inseparable from the concept of a species [Locke]
If we based species on real essences, the individuals would be as indistinguishable as two circles [Locke]
Internal constitution doesn't decide a species; should a watch contain four wheels or five? [Locke]
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Artificial things like watches and pistols have distinct kinds [Locke]
9. Objects / D. Essence of Objects / 13. Nominal Essence
Things have real essences, but we categorise them according to the ideas we receive [Locke]
Real essence explains observable qualities, but not what kind of thing it is [Locke, by Jones,J-E]
If essence is 'nominal', artificial gold (with its surface features) would qualify as 'gold' [Locke, by Eagle]
'Nominal essence' is everything contained in the idea of a particular sort of thing [Locke, by Copi]
The observable qualities are never the real essence, since they depend on real essence [Locke]
In nominal essence, Locke confuses the set of properties with the abstracted idea of them [Eagle on Locke]
To be a nominal essence, a complex idea must exhibit unity [Locke]
Locke's real and nominal essence refers back to Aristotle's real and nominal definitions [Locke, by Jones,J-E]
Nominal Essence is the abstract idea to which a name is attached [Locke]
Essences relate to sorting words; if you replace those with names, essences vanish [Locke]
Real essences are unknown, so only the nominal essence connects things to a species [Locke]
Our ideas of substance are based on mental archetypes, but these come from the world [Locke]
For 'all gold is malleable' to be necessary, it must be part of gold's nominal essence [Locke]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
The essence of a triangle is simple; presumably substance essences are similar [Locke]
A space between three lines is both the nominal and real essence of a triangle, the source of its properties [Locke]
The schools recognised that they don't really know essences, because they couldn't coin names for them [Locke]
9. Objects / D. Essence of Objects / 15. Against Essentialism
There are no independent natural kinds - or our classifications have to be subjective [Locke, by Jolley]
We know five properties of gold, but cannot use four of them to predict the fifth one [Locke]
Change is obscured by substance, a thing's nature, subject-predicate form, and by essences [Russell]
9. Objects / E. Objects over Time / 1. Objects over Time
Identity means that the idea of a thing remains the same over time [Locke]
9. Objects / E. Objects over Time / 7. Intermittent Objects
One thing cannot have two beginnings of existence, nor two things one beginning [Locke]
9. Objects / F. Identity among Objects / 3. Relative Identity
Same person, man or substance are different identities, belonging to different ideas [Locke]
9. Objects / F. Identity among Objects / 5. Self-Identity
Two things can't occupy one place and time, which leads us to the idea of self-identity [Locke]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Terms are identical if they belong to all the same classes [Russell]
It at least makes sense to say two objects have all their properties in common [Wittgenstein on Russell]
10. Modality / A. Necessity / 2. Nature of Necessity
'Necessary' is a predicate of a propositional function, saying it is true for all values of its argument [Russell]
Modal terms are properties of propositional functions, not of propositions [Russell]
10. Modality / A. Necessity / 6. Logical Necessity
Some facts about experience feel like logical necessities [Russell]
10. Modality / B. Possibility / 1. Possibility
Only the actual exists, so possibilities always reduce to actuality after full analysis [Russell]
10. Modality / B. Possibility / 5. Contingency
Contingency arises from tensed verbs changing the propositions to which they refer [Russell]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Inferring q from p only needs p to be true, and 'not-p or q' to be true [Russell]
All forms of implication are expressible as truth-functions [Russell]
10. Modality / B. Possibility / 9. Counterfactuals
It makes no sense to say that a true proposition could have been false [Russell]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
Some of our ideas contain relations which we cannot conceive to be absent [Locke]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
In any possible world we feel that two and two would be four [Russell]
If something is true in all possible worlds then it is logically necessary [Russell]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Our knowledge falls short of the extent of our own ideas [Locke]
Knowledge cannot be precisely defined, as it merges into 'probable opinion' [Russell]
All our knowledge (if verbal) is general, because all sentences contain general words [Russell]
In epistemology we should emphasis the continuity between animal and human minds [Russell]
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
The three questions about belief are its contents, its success, and its character [Russell]
Belief relates a mind to several things other than itself [Russell]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
We have an 'instinctive' belief in the external world, prior to all reflection [Russell]
When two ideas agree in my mind, I cannot refuse to see and know it [Locke]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
The greatest certainty is knowing our own ideas, and that two ideas are different [Locke]
General certainty is only found in ideas [Locke]
If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
Knowledge by senses is less certain than that by intuition or reason, but it is still knowledge [Locke]
The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
I am as certain of the thing doubting, as I am of the doubt [Locke]
Descartes showed that subjective things are the most certain [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
Naïve realism leads to physics, but physics then shows that naïve realism is false [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
I assume we perceive the actual objects, and not their 'presentations' [Russell]
'Acquaintance' is direct awareness, without inferences or judgements [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / c. Representative realism
Russell (1912) said phenomena only resemble reality in abstract structure [Russell, by Robinson,H]
There is no reason to think that objects have colours [Russell]
Science condemns sense-data and accepts matter, but a logical construction must link them [Russell]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Where possible, logical constructions are to be substituted for inferred entities [Russell]
Russell rejected phenomenalism because it couldn't account for causal relations [Russell, by Grayling]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
'Idealism' says that everything which exists is in some sense mental [Russell]
11. Knowledge Aims / C. Knowing Reality / 4. Solipsism
It is not illogical to think that only myself and my mental events exist [Russell]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
Some propositions are self-evident, but their implications may also be self-evident [Russell]
Particular instances are more clearly self-evident than any general principles [Russell]
As shown by memory, self-evidence comes in degrees [Russell]
If self-evidence has degrees, we should accept the more self-evident as correct [Russell]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
Innate ideas are trivial (if they are just potentials) or absurd (if they claim infants know a lot) [Locke, by Jolley]
If the only test of innateness is knowing, then all of our knowledge is innate [Locke]
A proposition can't be in the mind if we aren't conscious of it [Locke]
Innate ideas were followed up with innate doctrines, which stopped reasoning and made social control possible [Locke]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / c. Tabula rasa
The senses first let in particular ideas, which furnish the empty cabinet [Locke]
The mind is white paper, with no writing, or ideas [Locke]
The mind is a blank page, on which only experience can write [Locke]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
The rationalists were right, because we know logical principles without experience [Russell]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
All a priori knowledge deals with the relations of universals [Russell]
We can know some general propositions by universals, when no instance can be given [Russell]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
The mind cannot produce simple ideas [Locke]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
A 'quality' is a power to produce an idea in our minds [Locke]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Hands can report conflicting temperatures, but not conflicting shapes [Locke]
We can't know how primary and secondary qualities connect together [Locke]
Colours, smells and tastes are ideas; the secondary qualities have no colour, smell or taste [Locke, by Alexander,P]
Secondary qualities are powers of complex primary qualities to produce sensations in us [Locke]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Locke believes matter is an inert, senseless substance, with extension, figure and motion [Locke, by Berkeley]
Qualities are named as primary if they are needed for scientific explanation [Locke, by Alexander,P]
Primary qualities produce simple ideas, such as solidity, extension, motion and number [Locke]
Ideas of primary qualities resemble their objects, but those of secondary qualities don't [Locke]
In Locke, the primary qualities are also powers [Locke, by Heil]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
In my view Locke's 'textures' are groups of corpuscles which are powers (rather than 'having' powers) [Locke, by Alexander,P]
I suspect that Locke did not actually believe colours are 'in the mind' [Locke, by Heil]
Secondary qualities are simply the bare powers of an object [Locke]
12. Knowledge Sources / B. Perception / 3. Representation
Russell's representationalism says primary qualities only show the structure of reality [Russell, by Robinson,H]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
After 1912, Russell said sense-data are last in analysis, not first in experience [Russell, by Grayling]
'Sense-data' are what are immediately known in sensation, such as colours or roughnesses [Russell]
In 1921 Russell abandoned sense-data, and the gap between sensation and object [Russell, by Grayling]
Seeing is not in itself knowledge, but is separate from what is seen, such as a patch of colour [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
No sensibile is ever a datum to two people at once [Russell]
Russell held that we are aware of states of our own brain [Russell, by Robinson,H]
Sense-data are qualities devoid of subjectivity, which are the basis of science [Russell, by Deleuze/Guattari]
Sense-data are not mental, but are part of the subject-matter of physics [Russell]
Sense-data are objects, and do not contain the subject as part, the way beliefs do [Russell]
Sense-data are usually objects within the body, but are not part of the subject [Russell]
If my body literally lost its mind, the object seen when I see a flash would still exist [Russell]
Sense-data are purely physical [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / c. Unperceived sense-data
We do not know whether sense-data exist as objects when they are not data [Russell]
'Sensibilia' are identical to sense-data, without actually being data for any mind [Russell]
Ungiven sense-data can no more exist than unmarried husbands [Russell]
When sense-data change, there must be indistinguishable sense-data in the process [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
My 'acquaintance' with sense-data is nothing like my knowing New York [Williams,M on Russell]
Individuating sense-data is difficult, because they divide when closely attended to [Russell]
Sense-data may be subjective, if closing our eyes can change them [Russell]
We cannot assume that the subject actually exists, so we cannot distinguish sensations from sense-data [Russell]
12. Knowledge Sources / B. Perception / 5. Interpretation
Perception goes straight to the fact, and not through the proposition [Russell]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Molyneux's Question: could a blind man distinguish cube from sphere, if he regained his sight? [Locke]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Empirical truths are particular, so general truths need an a priori input of generality [Russell]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
All the ideas written on the white paper of the mind can only come from one place - experience [Locke]
If Russell rejects innate ideas and direct a priori knowledge, he is left with a tabula rasa [Russell, by Thompson]
It is natural to begin from experience, and presumably that is the basis of knowledge [Russell]
We are acquainted with outer and inner sensation, memory, Self, and universals [Russell, by PG]
Knowledge by descriptions enables us to transcend private experience [Russell]
For simple words, a single experience can show that they are true [Russell]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Some ideas connect together naturally, while others connect by chance or custom [Locke]
The constant link between whiteness and things that produce it is the basis of our knowledge [Locke]
Knowledge is just the connection or disagreement of our ideas [Locke]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism judges by effects, but I judge truth by causes [Russell]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
The absolute boundaries of our thought are the ideas we get from senses and the mind [Locke]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Full empiricism is not tenable, but empirical investigation is always essential [Russell]
I can know the existence of something with which nobody is acquainted [Russell]
Perception can't prove universal generalisations, so abandon them, or abandon empiricism? [Russell]
It is hard to explain how a sentence like 'it is not raining' can be found true by observation [Russell]
Empiricists seem unclear what they mean by 'experience' [Russell]
It is unclear how identity, equality, perfection, God, power and cause derive from experience [Locke, by Dancy,J]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition gives us direct and certain knowledge of what is obvious [Locke]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Images are not memory, because they are present, and memories are of the past [Russell]
It is possible the world came into existence five minutes ago, complete with false memories [Russell]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
Believing without a reason may just be love of your own fantasies [Locke]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
A true belief is not knowledge if it is reached by bad reasoning [Russell]
True belief is not knowledge when it is deduced from false belief [Russell]
True belief about the time is not knowledge if I luckily observe a stopped clock at the right moment [Russell]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / c. Empirical foundations
All knowledge (of things and of truths) rests on the foundations of acquaintance [Russell]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Believing a whole science is more than believing each of its propositions [Russell]
Facts beyond immediate experience are assessed by agreement with known truths and observations [Locke]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Objects are treated as real when they connect with other experiences in a normal way [Russell]
13. Knowledge Criteria / C. External Justification / 1. External Justification
For Locke knowledge relates to objects, not to propositions [Locke, by Rorty]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Knowledge needs more than a sensitive response; the response must also be appropriate [Russell]
13. Knowledge Criteria / C. External Justification / 8. Social Justification
Other men's opinions don't add to our knowledge - even when they are true [Locke]
13. Knowledge Criteria / D. Scepticism / 5. Dream Scepticism
Dreams can be explained fairly scientifically if we assume a physical world [Russell]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Global scepticism is irrefutable, but can't replace our other beliefs, and just makes us hesitate [Russell]
Locke has no patience with scepticism [Locke, by Robinson,H]
14. Science / B. Scientific Theories / 1. Scientific Theory
Mathematically expressed propositions are true of the world, but how to interpret them? [Russell]
14. Science / B. Scientific Theories / 2. Aim of Science
Science aims to find uniformities to which (within the limits of experience) there are no exceptions [Russell]
14. Science / C. Induction / 2. Aims of Induction
Induction is inferring premises from consequences [Russell]
14. Science / C. Induction / 3. Limits of Induction
We can't prove induction from experience without begging the question [Russell]
Chickens are not very good at induction, and are surprised when their feeder wrings their neck [Russell]
It doesn't follow that because the future has always resembled the past, that it always will [Russell]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Locke seems to use real essence for scientific explanation, and substratum for the being of a thing [Locke, by Jones,J-E]
To explain qualities, Locke invokes primary and secondary qualities, not real essences [Locke, by Jones,J-E]
Gold is supposed to have a real essence, from whence its detectable properties flow [Locke]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
If the cat reappears in a new position, presumably it has passed through the intermediate positions [Russell]
Belief in real objects makes our account of experience simpler and more systematic [Russell]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
We are satisfied that other men have minds, from their words and actions [Locke]
It is hard not to believe that speaking humans are expressing thoughts, just as we do ourselves [Russell]
Other minds seem to exist, because their testimony supports realism about the world [Russell, by Grayling]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / d. Other minds by analogy
If we didn't know our own minds by introspection, we couldn't know that other people have minds [Russell]
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
Unlike humans, animals cannot entertain general ideas [Locke]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Consciousness is the perception of what passes in a man's own mind [Locke]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
If we aren't aware that an idea is innate, the concept of innate is meaningless; if we do, all ideas seem innate [Locke]
15. Nature of Minds / B. Features of Minds / 6. Inverted Qualia
There is nothing illogical about inverted qualia [Locke]
The same object might produce violet in one mind and marigold in another [Locke]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Locke's view that thoughts are made of ideas asserts the crucial role of imagination [Locke]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Every external object or internal idea suggests to us the idea of unity [Locke]
The mind can make a unity out of anything, no matter how diverse [Locke]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
The mind creates abstractions by generalising about appearances of objects, ignoring time or place [Locke]
General words represent general ideas, which are abstractions from immediate circumstances [Locke]
It is good to generalise truths as much as possible [Russell]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
I learn the universal 'resemblance' by seeing two shades of green, and their contrast with red [Russell]
15. Nature of Minds / C. Capacities of Minds / 8. Remembering Contiguity
If a man sees a friend die in a room, he associates the pain with the room [Locke]
16. Persons / A. Concept of a Person / 1. Existence of Persons
Locke uses 'self' for a momentary entity, and 'person' for an extended one [Locke, by Martin/Barresi]
A person is intelligent, rational, self-aware, continuous, conscious [Locke]
16. Persons / A. Concept of a Person / 2. Persons as Responsible
Someone mad then sane is two persons, judging by our laws and punishments [Locke]
'Person' is a term used about responsibility, involving law, and happiness and misery [Locke]
16. Persons / B. Nature of the Self / 1. Self and Consciousness
Our personal identity must depend on something we are aware of, namely consciousness [Locke]
My little finger is part of me if I am conscious of it [Locke]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
In seeing the sun, we are acquainted with our self, but not as a permanent person [Russell]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
In perceiving the sun, I am aware of sun sense-data, and of the perceiver of the data [Russell]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
Personal identity is my perceptions, but not my memory, as I forget too much [Ayer on Locke]
Locke's theory confusingly tries to unite consciousness and memory [Reid on Locke]
Locke mistakes similarity of a memory to its original event for identity [Reid on Locke]
Identity over time involves remembering actions just as they happened [Locke]
Should we punish people who commit crimes in their sleep? [Locke]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
For Locke, conscious awareness unifies a person at an instant and over time [Locke, by Martin/Barresi]
If the soul individuates a man, and souls are transferable, then a hog could be a man [Locke]
Identity must be in consciousness not substance, because it seems transferable [Locke]
If someone becomes conscious of Nestor's actions, then he is Nestor [Locke]
If a prince's soul entered a cobbler's body, the person would be the prince (and the man the cobbler) [Locke]
On Judgement Day, no one will be punished for actions they cannot remember [Locke]
Locke sees underlying substance as irrelevant to personal identity [Locke, by Noonan]
A man is a succession of momentary men, bound by continuity and causation [Russell]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / c. Inadequacy of mental continuity
Locke implies that each thought has two thinkers - me, and 'my' substance [Merricks on Locke]
Two persons might have qualitatively identical consciousnesses, so that isn't enough [Kant on Locke]
Locke's move from substance to consciousness is a slippery slope [Butler on Locke]
No two thoughts at different times can be the same, as they have different beginnings [Locke]
Locke confuses the test for personal identity with the thing itself [Reid on Locke]
If consciousness is interrupted, and we forget our past selves, are we still the same thinking thing? [Locke]
If identity is consciousness, could a person move between bodies or fragment into parts? [Reid on Locke]
Locke's memory theory of identity confuses personal identity with the test for it [Reid on Locke]
Butler thought Locke's theory was doomed once he rejected mental substance [Perry on Locke]
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
Nothing about me is essential [Locke]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
In perception, the self is just a logical fiction demanded by grammar [Russell]
16. Persons / F. Free Will / 1. Nature of Free Will
We are free to decide not to follow our desires [Locke]
16. Persons / F. Free Will / 5. Against Free Will
Men are not free to will, because they cannot help willing [Locke]
16. Persons / F. Free Will / 7. Compatibilism
Liberty is a power of agents, so can't be an attribute of wills [Locke]
A man is free insofar as he can act according to his own preferences [Locke]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
For all we know, an omnipotent being might have enabled material beings to think [Locke]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
If we object to all data which is 'introspective' we will cease to believe in toothaches [Russell]
Behaviourists struggle to explain memory and imagination, because they won't admit images [Russell]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
There are distinct sets of psychological and physical causal laws [Russell]
17. Mind and Body / D. Property Dualism / 6. Mysterianism
Thinking without matter and matter that thinks are equally baffling [Locke]
We can't begin to conceive what would produce some particular experience within our minds [Locke]
Thoughts moving bodies, and bodies producing thoughts, are equally unknowable [Locke]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
We could probably, in principle, infer minds from brains, and brains from minds [Russell]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
It is rational to believe in reality, despite the lack of demonstrative reasons for it [Russell]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Knowledge of truths applies to judgements; knowledge by acquaintance applies to sensations and things [Russell]
Russell's 'multiple relations' theory says beliefs attach to ingredients, not to propositions [Russell, by Linsky,B]
Truth is when a mental state corresponds to a complex unity of external constituents [Russell]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
Surprise is a criterion of error [Russell]
Do incorrect judgements have non-existent, or mental, or external objects? [Russell]
To explain false belief we should take belief as relating to a proposition's parts, not to the whole thing [Russell]
In order to explain falsehood, a belief must involve several terms, not two [Russell]
The theory of error seems to need the existence of the non-existent [Russell]
18. Thought / A. Modes of Thought / 8. Human Thought
For Locke, abstract ideas are our main superiority of understanding over animals [Locke, by Berkeley]
18. Thought / C. Content / 1. Content
The complexity of the content correlates with the complexity of the object [Russell]
18. Thought / C. Content / 2. Ideas
Complex ideas are all resolvable into simple ideas [Locke]
The word 'idea' covers thinking best, for imaginings, concepts, and basic experiences [Locke]
Ideas are the objects of understanding when we think [Locke]
18. Thought / C. Content / 6. Broad Content
We don't assert private thoughts; the objects are part of what we assert [Russell]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
A universal of which we are aware is called a 'concept' [Russell]
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
All our ideas derive either from sensation, or from inner reflection [Locke]
Simple ideas are produced in us by external things, and they match their appearances [Locke]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Innate ideas are nothing, if they are in the mind but we are unaware of them [Locke]
18. Thought / E. Abstraction / 1. Abstract Thought
A species of thing is an abstract idea, and a word is a sign that refers to the idea [Locke]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction principles identify a common property, which is some third term with the right relation [Russell]
The principle of Abstraction says a symmetrical, transitive relation analyses into an identity [Russell]
A certain type of property occurs if and only if there is an equivalence relation [Russell]
19. Language / A. Nature of Meaning / 1. Meaning
Meaning takes many different forms, depending on different logical types [Russell]
19. Language / A. Nature of Meaning / 2. Meaning as Mental
Words were devised as signs for inner ideas, and their basic meaning is those ideas [Locke]
Words stand for the ideas in the mind of him that uses them [Locke]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Russell started philosophy of language, by declaring some plausible sentences to be meaningless [Russell, by Hart,WD]
Every understood proposition is composed of constituents with which we are acquainted [Russell]
Unverifiable propositions about the remote past are still either true or false [Russell]
19. Language / B. Reference / 1. Reference theories
Russell argued with great plausibility that we rarely, if ever, refer with our words [Russell, by Cooper,DE]
19. Language / B. Reference / 2. Denoting
Referring is not denoting, and Russell ignores the referential use of definite descriptions [Donnellan on Russell]
A definite description 'denotes' an entity if it fits the description uniquely [Russell, by Recanati]
Denoting phrases are meaningless, but guarantee meaning for propositions [Russell]
In 'Scott is the author of Waverley', denotation is identical, but meaning is different [Russell]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
For the correct reference of complex ideas, we can only refer to experts [Locke]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
By eliminating descriptions from primitive notation, Russell seems to reject 'sense' [Russell, by Kripke]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
It is pure chance which descriptions in a person's mind make a name apply to an individual [Russell]
19. Language / B. Reference / 5. Speaker's Reference
Russell assumes that expressions refer, but actually speakers refer by using expressions [Cooper,DE on Russell]
19. Language / C. Assigning Meanings / 3. Predicates
Russell uses 'propositional function' to refer to both predicates and to attributes [Quine on Russell]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Russell rejected sense/reference, because it made direct acquaintance with things impossible [Russell, by Recanati]
'Sense' is superfluous (rather than incoherent) [Russell, by Miller,A]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
The theory of definite descriptions aims at finding correct truth conditions [Russell, by Lycan]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
Science reduces indexicals to a minimum, but they can never be eliminated from empirical matters [Russell]
19. Language / D. Propositions / 1. Propositions
A proposition is what we believe when we believe truly or falsely [Russell]
Propositions are mainly verbal expressions of true or false, and perhaps also symbolic thoughts [Russell]
Proposition contain entities indicated by words, rather than the words themselves [Russell]
If p is false, then believing not-p is knowing a truth, so negative propositions must exist [Russell]
Propositions don't name facts, because each fact corresponds to a proposition and its negation [Russell]
Our important beliefs all, if put into words, take the form of propositions [Russell]
A proposition expressed in words is a 'word-proposition', and one of images an 'image-proposition' [Russell]
19. Language / D. Propositions / 3. Concrete Propositions
If propositions are facts, then false and true propositions are indistinguishable [Davidson on Russell]
In graspable propositions the constituents are real entities of acquaintance [Russell]
In 1918 still believes in nonlinguistic analogues of sentences, but he now calls them 'facts' [Russell, by Quine]
19. Language / D. Propositions / 4. Mental Propositions
You can believe the meaning of a sentence without thinking of the words [Russell]
Propositions don't name facts, because two opposed propositions can match one fact [Russell]
19. Language / D. Propositions / 5. Unity of Propositions
A proposition is a unity, and analysis destroys it [Russell]
Russell said the proposition must explain its own unity - or else objective truth is impossible [Russell, by Davidson]
19. Language / D. Propositions / 6. Propositions Critique
In 1906, Russell decided that propositions did not, after all, exist [Russell, by Monk]
The main aim of the multiple relations theory of judgement was to dispense with propositions [Russell, by Linsky,B]
An inventory of the world does not need to include propositions [Russell]
I no longer believe in propositions, especially concerning falsehoods [Russell]
I know longer believe in shadowy things like 'that today is Wednesday' when it is actually Tuesday [Russell]
19. Language / F. Communication / 3. Denial
If we define 'this is not blue' as disbelief in 'this is blue', we eliminate 'not' as an ingredient of facts [Russell]
19. Language / F. Communication / 4. Private Language
The names in a logically perfect language would be private, and could not be shared [Russell]
Since words are just conventional, we can represent our own ideas with any words we please [Locke]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
A mother cat is paralysed if equidistant between two needy kittens [Russell]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
There couldn't be a moral rule of which a man could not justly demand a reason [Locke]
I doubt whether ethics is part of philosophy [Russell]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Pursuit of happiness is the highest perfection of intellectual nature [Locke]
Morality can be demonstrated, because we know the real essences behind moral words [Locke]
We can demand a reason for any moral rule [Locke]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We divide mankind into friend and foe, and cooperate with one and compete with the other [Russell]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
'You ought to do p' primarily has emotional content, expressing approval [Russell]
22. Metaethics / B. Value / 2. Values / g. Love
Unlike hate, all desires can be satisfied by love [Russell]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Goodness is a combination of love and knowledge [Russell]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
A concern for happiness is the inevitable result of consciousness [Locke]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
In wartime, happiness is hating the enemy, because it gives the war a purpose [Russell]
A happy and joyous life must largely be a quiet life [Russell]
23. Ethics / A. Egoism / 2. Hedonism
Things are good and evil only in reference to pleasure and pain [Locke]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
Actions are virtuous if they are judged praiseworthy [Locke]
Originally virtue was obedience, to gods, government, or custom [Russell]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Individuals need creativity, reverence for others, and self-respect [Russell]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
Act so as to produce harmonious rather than discordant desires [Russell]
23. Ethics / E. Utilitarianism / 2. Ideal of Pleasure
Judgements of usefulness depend on judgements of value [Russell]
23. Ethics / F. Existentialism / 4. Boredom
Boredom always involves not being fully occupied [Russell]
Happiness involves enduring boredom, and the young should be taught this [Russell]
Boredom is an increasingly strong motivating power [Russell]
Life is now more interesting, but boredom is more frightening [Russell]
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
All countries are in a mutual state of nature [Locke]
We are not created for solitude, but are driven into society by our needs [Locke]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Gradually loyalty to a creed increased, which could even outweigh nationality [Russell]
Increasingly war expands communities, and unifies them through fear [Russell]
In early societies the leaders needed cohesion, but the rest just had to obey [Russell]
24. Political Theory / A. Basis of a State / 2. Population / b. State population
The economic and political advantages of great size seem to have no upper limit [Russell]
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
In nature men can dispose of possessions and their persons in any way that is possible [Locke]
24. Political Theory / A. Basis of a State / 3. Natural Values / b. Natural equality
There is no subjection in nature, and all creatures of the same species are equal [Locke]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
The rational law of nature says we are all equal and independent, and should show mutual respect [Locke]
The animals and fruits of the earth belong to mankind [Locke]
There is a natural right to inheritance within a family [Locke]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Politics is the right to make enforceable laws to protect property and the state, for the common good [Locke]
Government has a negative purpose, to prevent trouble, and a positive aim of realising our desires [Russell]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
The Second Treatise explores the consequences of the contractual view of the state [Locke, by Scruton]
A society only begins if there is consent of all the individuals to join it [Locke]
If anyone enjoys the benefits of government (even using a road) they give tacit assent to its laws [Locke]
A politic society is created from a state of nature by a unanimous agreement [Locke]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
A single will creates the legislature, which is duty-bound to preserve that will [Locke]
24. Political Theory / B. Nature of a State / 4. Citizenship
Anyone who enjoys the benefits of a state has given tacit consent to be part of it [Locke]
You can only become an actual member of a commonwealth by an express promise [Locke]
Children are not born into citizenship of a state [Locke]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
Absolute monarchy is inconsistent with civil society [Locke]
A monarch is known to everyone in the group, and can thus unite large groups [Russell]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
The idea that absolute power improves mankind is confuted by history [Locke]
Despotism is arbitrary power to kill, based neither on natural equality, nor any social contract [Locke]
People stripped of their property are legitimately subject to despotism [Locke]
Legitimate prisoners of war are subject to despotism, because that continues the state of war [Locke]
24. Political Theory / C. Ruling a State / 3. Government / b. Legislature
Even the legislature must be preceded by a law which gives it power to make laws [Locke]
24. Political Theory / C. Ruling a State / 3. Government / c. Executive
The executive must not be the legislature, or they may exempt themselves from laws [Locke]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
Power should be with smaller bodies, as long as it doesn't restrict central powers [Russell]
We would not want UK affairs to be settled by a world parliament [Russell]
Democracy is inadequate without a great deal of devolution [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
Any obstruction to the operation of the legislature can be removed forcibly by the people [Locke]
Rebelling against an illegitimate power is no sin [Locke]
If legislators confiscate property, or enslave people, they are no longer owed obedience [Locke]
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchy does not maximise liberty [Russell]
In an anarchy universities, research, books, and even seaside holidays, would be impossible [Russell]
A state is essential, to control greedy or predatory impulses [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
The people have supreme power, to depose a legislature which has breached their trust [Locke]
Unanimous consent makes a united community, which is then ruled by the majority [Locke]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Groups should be autonomous, with a neutral authority as arbitrator [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
On every new question the majority is always wrong at first [Russell]
In democracy we are more aware of being governed than of our tiny share in government [Russell]
Democratic institutions become impossible in a fanatical democracy [Russell]
Unfortunately ordinary voters can't detect insincerity [Russell]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberal opinions are tentative rather than dogmatic, and are always responsive to new evidence [Russell]
Empiricist Liberalism is the only view for someone who favours scientific evidence and happiness [Russell]
Empiricism is ethically superior, because dogmatism favours persecution and hatred [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
When the state is the only employer, there is no refuge from the prejudices of other people [Russell]
Managers are just as remote from workers under nationalisation as under capitalism [Russell]
Socialists say economic justice needs some state control of industries, and of foreign trade [Russell]
Being a slave of society is hardly better than being a slave of a despot [Russell]
24. Political Theory / D. Ideologies / 11. Capitalism
Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell]
25. Social Practice / A. Freedoms / 1. Slavery
A master forfeits ownership of slaves he abandons [Locke]
Slaves captured in a just war have no right to property, so are not part of civil society [Locke]
Slavery began the divorce between the work and the purposes of the worker [Russell]
If you try to enslave me, you have declared war on me [Locke]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
We need security and liberty, and then encouragement of creativity [Russell]
25. Social Practice / A. Freedoms / 6. Political freedom
Freedom is not absence of laws, but living under laws arrived at by consent [Locke]
25. Social Practice / B. Equalities / 1. Grounds of equality
Slaves can be just as equal as free people [Russell]
25. Social Practice / B. Equalities / 4. Economic equality
Scarce goods may be denied entirely, to avoid their unequal distribution [Russell]
All value depends on the labour involved [Locke]
25. Social Practice / C. Rights / 3. Alienating rights
There is only a civil society if the members give up all of their natural executive rights [Locke]
We all own our bodies, and the work we do is our own [Locke]
25. Social Practice / C. Rights / 4. Property rights
The right to own land gives a legal right to a permanent income [Russell]
Locke (and Marx) held that ownership of objects is a natural relation, based on the labour put into it [Locke, by Fogelin]
Locke says 'mixing of labour' entitles you to land, as well as nuts and berries [Wolff,J on Locke]
A man's labour gives ownership rights - as long as there are fair shares for all [Locke]
If a man mixes his labour with something in Nature, he thereby comes to own it [Locke]
Fountain water is everyone's, but a drawn pitcher of water has an owner [Locke]
Gathering natural fruits gives ownership; the consent of other people is irrelevant [Locke]
Mixing labour with a thing bestows ownership - as long as the thing is not wasted [Locke]
It is certain that injustice requires property, since it is a violation of the right to property [Locke]
Soldiers can be commanded to die, but not to hand over their money [Locke]
A man owns land if he cultivates it, to the limits of what he needs [Locke]
25. Social Practice / D. Justice / 1. Basis of justice
Modern justice is seen as equality, apart from modest extra rewards for exceptional desert [Russell]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
The aim of law is not restraint, but to make freedom possible [Locke]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
It is only by a law of Nature that we can justify punishing foreigners [Locke]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Reparation and restraint are the only justifications for punishment [Locke]
Self-defence is natural, but not the punishment of superiors by inferiors [Locke]
Punishment should make crime a bad bargain, leading to repentance and deterrence [Locke]
25. Social Practice / D. Justice / 3. Punishment / d. Reform of offenders
Legally curbing people's desires is inferior to improving their desires [Russell]
25. Social Practice / E. Policies / 4. Taxation
The consent of the people is essential for any tax [Locke]
26. Natural Theory / A. Speculations on Nature / 1. Nature
We are so far from understanding the workings of natural bodies that it is pointless to even try [Locke]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
I take 'matter' to be a body, excluding its extension in space and its shape [Locke]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
We distinguish species by their nominal essence, not by their real essence [Locke]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
If we observe total regularity, there must be some unknown law and relationships controlling it [Locke]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causes are the substances which have the powers to produce action [Locke]
26. Natural Theory / C. Causation / 7. Eliminating causation
We can drop 'cause', and just make inferences between facts [Russell]
Moments and points seem to imply other moments and points, but don't cause them [Russell]
The law of causality is a source of confusion, and should be dropped from philosophy [Russell]
If causes are contiguous with events, only the last bit is relevant, or the event's timing is baffling [Russell]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Striking a match causes its igniting, even if it sometimes doesn't work [Russell]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The law of gravity has many consequences beyond its grounding observations [Russell]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
In causal laws, 'events' must recur, so they have to be universals, not particulars [Russell]
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
The constancy of scientific laws rests on differential equations, not on cause and effect [Russell]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
If we knew the minute mechanics of hemlock, we could predict that it kills men [Locke]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
Boyle and Locke believed corpuscular structures necessitate their powers of interaction [Locke, by Alexander,P]
The corpuscular hypothesis is the best explanation of the necessary connection and co-existence of powers [Locke]
We will only understand substance when we know the necessary connections between powers and qualities [Locke]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
We identify substances by supposing that groups of sensations arise from an essence [Locke]
Other spirits may exceed us in knowledge, by knowing the inward constitution of things [Locke]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The laws of motion and gravitation are just parts of the definition of a kind of matter [Russell]
We can't know that our laws are exceptionless, or even that there are any laws [Russell]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Motion is just change of distance between two things [Locke]
Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle]
Occupying a place and change are prior to motion, so motion is just occupying places at continuous times [Russell]
Russell's 'at-at' theory says motion is to be at the intervening points at the intervening instants [Russell, by Psillos]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Boyle and Locke suspect forces of being occult [Locke, by Alexander,P]
An insurmountable force in a body keeps our hands apart when we handle it [Locke]
Force is supposed to cause acceleration, but acceleration is a mathematical fiction [Russell]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Matter is the limit of appearances as distance from the object diminishes [Russell]
Matter is a logical construction [Russell]
Matter requires a division into time-corpuscles as well as space-corpuscles [Russell]
At first matter is basic and known by sense-data; later Russell says matter is constructed [Russell, by Linsky,B]
27. Natural Reality / C. Space / 2. Space
There is 'private space', and there is also the 'space of perspectives' [Russell]
Six dimensions are needed for a particular, three within its own space, and three to locate that space [Russell]
27. Natural Reality / C. Space / 3. Points in Space
Space is the extension of 'point', and aggregates of points seem necessary for geometry [Russell]
27. Natural Reality / C. Space / 5. Relational Space
We can locate the parts of the universe, but not the whole thing [Locke]
27. Natural Reality / D. Time / 2. Passage of Time / a. Experience of time
We never experience times, but only succession of events [Russell]
27. Natural Reality / D. Time / 3. Parts of Time / b. Instants
An 'instant' is where we perceive no succession, and is the time of a single idea [Locke]
Mathematicians don't distinguish between instants of time and points on a line [Russell]
27. Natural Reality / D. Time / 3. Parts of Time / d. Measuring time
We can never show that two successive periods of time were equal [Locke]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
We could be aware of time if senses briefly vibrated, extending their experience of movement [Russell, by Bardon]
27. Natural Reality / E. Cosmology / 1. Cosmology
The 'universe' can mean what exists now, what always has or will exist [Russell]
27. Natural Reality / G. Biology / 3. Evolution
It is inconceivable that unthinking matter could produce intelligence [Locke]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
If God's decrees are good, and this is not a mere tautology, then goodness is separate from God's decrees [Russell]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
The finite and dependent should obey the supreme and infinite [Locke]
28. God / B. Proving God / 1. Proof of God
God has given us no innate idea of himself [Locke]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
The ontological argument begins with an unproven claim that 'there exists an x..' [Russell]
You can discuss 'God exists', so 'God' is a description, not a name [Russell]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
We exist, so there is Being, which requires eternal being [Locke]
28. God / B. Proving God / 3. Proofs of Evidence / e. Miracles
If miracles aim at producing belief, it is plausible that their events are very unusual [Locke]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
That our heaven is a dull place reflects the misery of excessive work in life [Russell]