Combining Texts

All the ideas for 'Pragmatism and Objective Truth', 'Knowledge and the Philosophy of Number' and 'Reference and Essence (1st edn)'

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18 ideas

2. Reason / D. Definition / 11. Ostensive Definition
18889 Ostensive definitions needn't involve pointing, but must refer to something specific [Salmon,N]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19086 Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
14627 S4, and therefore S5, are invalid for metaphysical modality [Salmon,N, by Williamson]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23623 Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
23624 The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
23625 Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
23628 The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
23627 'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
23626 Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
19093 Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
23621 Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
23622 We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
18888 Essentialism says some properties must be possessed, if a thing is to exist [Salmon,N]
14. Science / B. Scientific Theories / 1. Scientific Theory
19091 Seeing reality mathematically makes it an object of thought, not of experience [Macbeth]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
19088 For pragmatists a concept means its consequences [Macbeth]
19. Language / B. Reference / 1. Reference theories
18886 Frege's 'sense' solves four tricky puzzles [Salmon,N]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
18887 The perfect case of direct reference is a variable which has been assigned a value [Salmon,N]
26. Natural Theory / B. Natural Kinds / 5. Reference to Natural Kinds
18891 Nothing in the direct theory of reference blocks anti-essentialism; water structure might have been different [Salmon,N]