Combining Texts

All the ideas for 'Reply to Fifth Objections', 'Mathematics without Foundations' and 'An Argument for the Identity Theory'

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13 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]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
3626 Knowing the attributes is enough to reveal a substance [Descartes]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
3630 Our thinking about external things doesn't disprove the existence of innate ideas [Descartes]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
7441 Experiences are defined by their causal role, and causal roles belong to physical states [Lewis]
7442 'Pain' contingently names the state that occupies the causal role of pain [Lewis]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
3631 A blind man may still contain the idea of colour [Descartes]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
3640 Possible existence is a perfection in the idea of a triangle [Descartes]
3639 Necessary existence is a property which is uniquely part of God's essence [Descartes]