Combining Texts

All the ideas for 'fragments/reports', 'Intro to 'Philosophy of Logic'' and 'Mathematics without Foundations'

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13 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic
9456 Modal logic is multiple systems, shown in the variety of accessibility relations between worlds [Jacquette]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
9944 We understand some statements about all sets [Putnam]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
9457 The two main views in philosophy of logic are extensionalism and intensionalism [Jacquette]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
9458 Extensionalists say that quantifiers presuppose the existence of their objects [Jacquette]
5. Theory of Logic / I. Semantics of Logic / 6. Intensionalism
9461 Intensionalists say meaning is determined by the possession of properties [Jacquette]
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]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
9460 Extensionalist semantics forbids reference to nonexistent objects [Jacquette]
9459 Extensionalist semantics is circular, as we must know the extension before assessing 'Fa' [Jacquette]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]