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All the ideas for 'fragments/reports', 'Truth and Truthmakers' and 'System of Logic'

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86 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
All metaphysical discussion should be guided by a quest for truthmakers [Armstrong]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
Truth-making can't be entailment, because truthmakers are portions of reality [Armstrong]
Armstrong says truthmakers necessitate their truth, where 'necessitate' is a primitive relation [Armstrong, by MacBride]
3. Truth / B. Truthmakers / 6. Making Negative Truths
Negative truths have as truthmakers all states of affairs relevant to the truth [Armstrong]
The nature of arctic animals is truthmaker for the absence of penguins there [Armstrong]
3. Truth / B. Truthmakers / 7. Making Modal Truths
In mathematics, truthmakers are possible instantiations of structures [Armstrong]
One truthmaker will do for a contingent truth and for its contradictory [Armstrong]
The truthmakers for possible unicorns are the elements in their combination [Armstrong]
What is the truthmaker for 'it is possible that there could have been nothing'? [Armstrong]
3. Truth / B. Truthmakers / 8. Making General Truths
Necessitating general truthmakers must also specify their limits [Armstrong]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
The set theory brackets { } assert that the member is a unit [Armstrong]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
For 'there is a class with no members' we don't need the null set as truthmaker [Armstrong]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
What physical facts could underlie 0 or 1, or very large numbers? [Frege on Mill]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
Combining two distinct assertions does not necessarily lead to a single 'complex proposition' [Mill]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
All names are names of something, real or imaginary [Mill]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
Mill says names have denotation but not connotation [Mill, by Kripke]
Proper names are just labels for persons or objects, and the meaning is the object [Mill, by Lycan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Classes have cardinalities, so their members must all be treated as units [Armstrong]
Numbers must be assumed to have identical units, as horses are equalised in 'horse-power' [Mill]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
The only axioms needed are for equality, addition, and successive numbers [Mill, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
Arithmetic is based on definitions, and Sums of equals are equal, and Differences of equals are equal [Mill]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Mill says logic and maths is induction based on a very large number of instances [Mill, by Ayer]
If two black and two white objects in practice produced five, what colour is the fifth one? [Lewis,CI on Mill]
Mill mistakes particular applications as integral to arithmetic, instead of general patterns [Dummett on Mill]
There are no such things as numbers in the abstract [Mill]
Things possess the properties of numbers, as quantity, and as countable parts [Mill]
Numbers have generalised application to entities (such as bodies or sounds) [Mill]
Different parcels made from three pebbles produce different actual sensations [Mill]
'2 pebbles and 1 pebble' and '3 pebbles' name the same aggregation, but different facts [Mill]
3=2+1 presupposes collections of objects ('Threes'), which may be divided thus [Mill]
Numbers denote physical properties of physical phenomena [Mill]
We can't easily distinguish 102 horses from 103, but we could arrange them to make it obvious [Mill]
Arithmetical results give a mode of formation of a given number [Mill]
12 is the cube of 1728 means pebbles can be aggregated a certain way [Mill]
Numbers must be of something; they don't exist as abstractions [Mill]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Mill is too imprecise, and is restricted to simple arithmetic [Kitcher on Mill]
Empirical theories of arithmetic ignore zero, limit our maths, and need probability to get started [Frege on Mill]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Numbers are a very general property of objects [Mill, by Brown,JR]
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
Logical atomism builds on the simple properties, but are they the only possible properties? [Armstrong]
7. Existence / D. Theories of Reality / 5. Naturalism
'Naturalism' says only the world of space-time exists [Armstrong]
7. Existence / D. Theories of Reality / 9. States of Affairs
Truthmaking needs states of affairs, to unite particulars with tropes or universals. [Armstrong]
8. Modes of Existence / B. Properties / 2. Need for Properties
We need properties, as minimal truthmakers for the truths about objects [Armstrong]
8. Modes of Existence / B. Properties / 3. Types of Properties
The determinates of a determinable must be incompatible with each other [Armstrong]
Length is a 'determinable' property, and one mile is one its 'determinates' [Armstrong]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
If tropes are non-transferable, then they necessarily belong to their particular substance [Armstrong]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Properties are not powers - they just have powers [Armstrong]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
Powers must result in some non-powers, or there would only be potential without result [Armstrong]
How does the power of gravity know the distance it acts over? [Armstrong]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
The class of similar things is much too big a truthmaker for the feature of a particular [Armstrong]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Whatever is made up of parts is made up of parts of those parts [Mill]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
The essence is that without which a thing can neither be, nor be conceived to be [Mill]
9. Objects / F. Identity among Objects / 1. Concept of Identity
When entities contain entities, or overlap with them, there is 'partial' identity [Armstrong]
10. Modality / A. Necessity / 2. Nature of Necessity
Necessity is what will be, despite any alternative suppositions whatever [Mill]
Necessity can only mean what must be, without conditions of any kind [Mill]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds don't fix necessities; intrinsic necessities imply the extension in worlds [Armstrong]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Most perception is one-tenth observation and nine-tenths inference [Mill]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
Clear concepts result from good observation, extensive experience, and accurate memory [Mill]
14. Science / A. Basis of Science / 5. Anomalies
Inductive generalisation is more reliable than one of its instances; they can't all be wrong [Mill]
14. Science / C. Induction / 1. Induction
The whole theory of induction rests on causes [Mill]
Mill's methods (Difference,Agreement,Residues,Concomitance,Hypothesis) don't nail induction [Mill, by Lipton]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Surprisingly, empiricists before Mill ignore explanation, which seems to transcend experience [Mill, by Ruben]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Explanation is fitting of facts into ever more general patterns of regularity [Mill, by Ruben]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Causal inference is by spotting either Agreements or Differences [Mill, by Lipton]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
The Methods of Difference and of Agreement are forms of inference to the best explanation [Mill, by Lipton]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
We can focus our minds on what is common to a whole class, neglecting other aspects [Mill]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
General truths are a type of negative truth, saying there are no more ravens than black ones [Armstrong]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
We don't recognise comparisons by something in our minds; the concepts result from the comparisons [Mill]
18. Thought / E. Abstraction / 1. Abstract Thought
General conceptions are a necessary preliminary to Induction [Mill]
The study of the nature of Abstract Ideas does not belong to logic, but to a different science [Mill]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
For all being, there is a potential proposition which expresses its existence and nature [Armstrong]
A realm of abstract propositions is causally inert, so has no explanatory value [Armstrong]
19. Language / F. Communication / 3. Denial
Contradiction is impossible, since only one side of the argument refers to the true facts [Prodicus, by Didymus the Blind]
26. Natural Theory / C. Causation / 4. Naturalised causation
Negative causations supervene on positive causations plus their laws? [Armstrong]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
A cause is the total of all the conditions which inevitably produce the result [Mill]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
Causes and conditions are not distinct, because we select capriciously from among them [Mill]
The strict cause is the total positive and negative conditions which ensure the consequent [Mill]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Causation is just invariability of succession between every natural fact and a preceding fact [Mill]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
A cause is an antecedent which invariably and unconditionally leads to a phenomenon [Mill]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Mill's regularity theory of causation is based on an effect preceded by a conjunction of causes [Mill, by Psillos]
In Mill's 'Method of Agreement' cause is the common factor in a range of different cases [Mill, by Psillos]
In Mill's 'Method of Difference' the cause is what stops the effect when it is removed [Mill, by Psillos]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
What are the fewest propositions from which all natural uniformities could be inferred? [Mill]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
The pure present moment is too brief to be experienced [Armstrong]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
People used to think anything helpful to life was a god, as the Egyptians think the Nile a god [Prodicus]
28. God / C. Attitudes to God / 5. Atheism
He denied the existence of the gods, saying they are just exaltations of things useful for life [Prodicus]
The gods are just personified human benefits [Prodicus]