Combining Philosophers

All the ideas for Protagoras, J Ladyman / D Ross and Ian Rumfitt

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133 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
There is no test for metaphysics, except devising alternative theories [Ladyman/Ross]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Metaphysics builds consilience networks across science [Ladyman/Ross]
Progress in metaphysics must be tied to progress in science [Ladyman/Ross]
Metaphysics must involve at least two scientific hypotheses, one fundamental, and add to explanation [Ladyman/Ross]
Some science is so general that it is metaphysical [Ladyman/Ross]
Cutting-edge physics has little to offer metaphysics [Ladyman/Ross]
The aim of metaphysics is to unite the special sciences with physics [Ladyman/Ross]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Modern metaphysics pursues aesthetic criteria like story-writing, and abandons scientific truth [Ladyman/Ross]
Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Why think that conceptual analysis reveals reality, rather than just how people think? [Ladyman/Ross]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
We should abandon intuitions, especially that the world is made of little things, and made of something [Ladyman/Ross]
A metaphysics based on quantum gravity could result in almost anything [Ladyman/Ross]
The supremacy of science rests on its iterated error filters [Ladyman/Ross]
3. Truth / A. Truth Problems / 1. Truth
The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt]
3. Truth / B. Truthmakers / 7. Making Modal Truths
'True at a possibility' means necessarily true if what is said had obtained [Rumfitt]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
The logic of metaphysical necessity is S5 [Rumfitt]
'Absolute necessity' would have to rest on S5 [Rumfitt]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
It is the second-order part of intuitionistic logic which actually negates some classical theorems [Rumfitt]
Intuitionists can accept Double Negation Elimination for decidable propositions [Rumfitt]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The iterated conception of set requires continual increase in axiom strength [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
A set may well not consist of its members; the empty set, for example, is a problem [Rumfitt]
A set can be determinate, because of its concept, and still have vague membership [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
If the totality of sets is not well-defined, there must be doubt about the Power Set Axiom [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt]
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt]
The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt]
If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt]
There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt]
We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt]
Logical consequence is a relation that can extended into further statements [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Normal deduction presupposes the Cut Law [Rumfitt]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Maybe mathematical logic rests on information-processing [Ladyman/Ross]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
When faced with vague statements, Bivalence is not a compelling principle [Rumfitt]
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are just the assumption-free by-products of logical rules [Rumfitt]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
No perceptible object is truly straight or curved [Protagoras]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Infinitesimals do not stand in a determinate order relation to zero [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Only admit into ontology what is explanatory and predictive [Ladyman/Ross]
To be is to be a real pattern [Ladyman/Ross]
7. Existence / B. Change in Existence / 2. Processes
Any process can be described as transfer of measurable information [Ladyman/Ross]
7. Existence / C. Structure of Existence / 6. Fundamentals / a. Fundamental reality
We say there is no fundamental level to ontology, and reality is just patterns [Ladyman/Ross]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
If concrete is spatio-temporal and causal, and abstract isn't, the distinction doesn't suit physics [Ladyman/Ross]
Concrete and abstract are too crude for modern physics [Ladyman/Ross]
7. Existence / D. Theories of Reality / 6. Physicalism
Physicalism is 'part-whole' (all parts are physical), or 'supervenience/levels' (dependence on physical) [Ladyman/Ross]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations without relata must be treated as universals, with their own formal properties [Ladyman/Ross]
A belief in relations must be a belief in things that are related [Ladyman/Ross]
8. Modes of Existence / A. Relations / 2. Internal Relations
The normal assumption is that relations depend on properties of the relata [Ladyman/Ross]
8. Modes of Existence / A. Relations / 3. Structural Relations
That there are existent structures not made of entities is no stranger than the theory of universals [Ladyman/Ross]
8. Modes of Existence / B. Properties / 5. Natural Properties
Causal essentialism says properties are nothing but causal relations [Ladyman/Ross]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
If science captures the modal structure of things, that explains why its predictions work [Ladyman/Ross]
9. Objects / A. Existence of Objects / 1. Physical Objects
Things are constructs for tracking patterns (and not linguistic, because animals do it) [Ladyman/Ross]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Maybe individuation can be explained by thermodynamic depth [Ladyman/Ross]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
There are no cats in quantum theory, and no mountains in astrophysics [Ladyman/Ross]
Physics seems to imply that we must give up self-subsistent individuals [Ladyman/Ross]
There is no single view of individuals, because different sciences operate on different scales [Ladyman/Ross]
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
Things are abstractions from structures [Ladyman/Ross]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
An object that is not clearly red or orange can still be red-or-orange, which sweeps up problem cases [Rumfitt]
The extension of a colour is decided by a concept's place in a network of contraries [Rumfitt]
9. Objects / C. Structure of Objects / 5. Composition of an Object
The idea of composition, that parts of the world are 'made of' something, is no longer helpful [Ladyman/Ross]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A sum of things is not a whole if the whole does not support some new generalisation [Ladyman/Ross]
9. Objects / D. Essence of Objects / 13. Nominal Essence
We treat the core of a pattern as an essence, in order to keep track of it [Ladyman/Ross]
9. Objects / E. Objects over Time / 1. Objects over Time
A continuous object might be a type, with instances at each time [Ladyman/Ross]
10. Modality / A. Necessity / 3. Types of Necessity
A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical modalities respect the actual identities of things [Rumfitt]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt]
A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt]
Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [Rumfitt]
S5 is the logic of logical necessity [Rumfitt]
10. Modality / B. Possibility / 1. Possibility
Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt]
If two possibilities can't share a determiner, they are incompatible [Rumfitt]
10. Modality / B. Possibility / 6. Probability
In quantum statistics, two separate classical states of affairs are treated as one [Ladyman/Ross]
Quantum mechanics seems to imply single-case probabilities [Ladyman/Ross]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt]
Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Medieval logicians said understanding A also involved understanding not-A [Rumfitt]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Everything that exists consists in being perceived [Protagoras]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Rats find some obvious associations easier to learn than less obvious ones [Ladyman/Ross]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The doctrine of empiricism does not itself seem to be empirically justified [Ladyman/Ross]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
There is no reason to think our intuitions are good for science or metaphysics [Ladyman/Ross]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Protagoras was the first to claim that there are two contradictory arguments about everything [Protagoras, by Diog. Laertius]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Man is the measure of all things - of things that are, and of things that are not [Protagoras]
There is no more purely metaphysical doctrine than Protagorean relativism [Benardete,JA on Protagoras]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
If my hot wind is your cold wind, then wind is neither hot nor cold, and so not as cold as itself [Benardete,JA on Protagoras]
You can only state the problem of the relative warmth of an object by agreeing on the underlying object [Benardete,JA on Protagoras]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
God is "the measure of all things", more than any man [Plato on Protagoras]
Protagoras absurdly thought that the knowing or perceiving man is 'the measure of all things' [Aristotle on Protagoras]
Relativists think if you poke your eye and see double, there must be two things [Aristotle on Protagoras]
14. Science / A. Basis of Science / 4. Prediction
What matters is whether a theory can predict - not whether it actually does so [Ladyman/Ross]
The theory of evolution was accepted because it explained, not because of its predictions [Ladyman/Ross]
14. Science / B. Scientific Theories / 8. Ramsey Sentences
The Ramsey-sentence approach preserves observations, but eliminates unobservables [Ladyman/Ross]
The Ramsey sentence describes theoretical entities; it skips reference, but doesn't eliminate it [Ladyman/Ross]
14. Science / C. Induction / 1. Induction
Induction is reasoning from the observed to the unobserved [Ladyman/Ross]
14. Science / C. Induction / 4. Reason in Induction
Inductive defences of induction may be rule-circular, but not viciously premise-circular [Ladyman/Ross]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
We explain by deriving the properties of a phenomenon by embedding it in a large abstract theory [Ladyman/Ross]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Maybe the only way we can think about a domain is by dividing it up into objects [Ladyman/Ross]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Two versions of quantum theory say that the world is deterministic [Ladyman/Ross]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Science is opposed to downward causation [Ladyman/Ross]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
We understand conditionals, but disagree over their truth-conditions [Rumfitt]
19. Language / F. Communication / 3. Denial
The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt]
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Early sophists thought convention improved nature; later they said nature was diminished by it [Protagoras, by Miller,FD]
23. Ethics / B. Contract Ethics / 1. Contractarianism
For Protagoras the only bad behaviour is that which interferes with social harmony [Protagoras, by Roochnik]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Protagoras contradicts himself by saying virtue is teachable, but then that it is not knowledge [Plato on Protagoras]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Protagoras seems to have made the huge move of separating punishment from revenge [Protagoras, by Vlastos]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Successful education must go deep into the soul [Protagoras]
25. Social Practice / E. Policies / 5. Education / b. Education principles
He spent public money on education, as it benefits the individual and the state [Protagoras, by Diodorus of Sicily]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
Explanation by kinds and by clusters of properties just express the stability of reality [Ladyman/Ross]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
There is nothing more to a natural kind than a real pattern in nature [Ladyman/Ross]
26. Natural Theory / C. Causation / 7. Eliminating causation
Causation is found in the special sciences, but may have no role in fundamental physics [Ladyman/Ross]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Science may have uninstantiated laws, inferred from approaching some unrealised limit [Ladyman/Ross]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
That the universe must be 'made of' something is just obsolete physics [Ladyman/Ross]
In physics, matter is an emergent phenomenon, not part of fundamental ontology [Ladyman/Ross]
27. Natural Reality / C. Space / 6. Space-Time
Spacetime may well be emergent, rather than basic [Ladyman/Ross]
If spacetime is substantial, what is the substance? [Ladyman/Ross]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
A fixed foliation theory of quantum gravity could make presentism possible [Ladyman/Ross]
28. God / C. Attitudes to God / 5. Atheism
He said he didn't know whether there are gods - but this is the same as atheism [Diogenes of Oen. on Protagoras]