Combining Texts

All the ideas for 'fragments/reports', 'Meaning and Reference' and 'Mathematics without Foundations'

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14 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
9944 We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
9937 I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
9939 It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9940 Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9941 Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
9943 You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
10. Modality / A. Necessity / 8. Transcendental Necessity
490 Everything happens by reason and necessity [Leucippus]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
9169 A statement can be metaphysically necessary and epistemologically contingent [Putnam]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
5819 Conceivability is no proof of possibility [Putnam]
18. Thought / C. Content / 6. Broad Content
9168 I can't distinguish elm trees, but I mean by 'elm' the same set of trees as everybody else [Putnam]
5820 'Water' has an unnoticed indexical component, referring to stuff around here [Putnam]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
9170 We need to recognise the contribution of society and of the world in determining reference [Putnam]
19. Language / F. Communication / 4. Private Language
5817 Language is more like a cooperative steamship than an individual hammer [Putnam]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
5818 If water is H2O in the actual world, there is no possible world where it isn't H2O [Putnam]