Combining Texts

All the ideas for 'Letter to Mersenne', 'Reference and Essence: seven appendices' and 'Mathematics without Foundations'

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9 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]
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
14742 It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N]
16. Persons / F. Free Will / 3. Constraints on the will
3789 The more reasons that compel me, the freer I am [Descartes]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
18885 Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N]