Combining Texts

All the ideas for 'Mathematics without Foundations', 'On Relations of Universals and Particulars' and 'Difference and Repetition'

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13 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
21901 'Difference' refers to that which eludes capture [Deleuze, by May]
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 / A. Nature of Existence / 3. Being / a. Nature of Being
21902 'Being' is univocal, but its subject matter is actually 'difference' [Deleuze]
21908 Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
21903 Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May]
21904 Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16045 General facts supervene on particular facts, but cannot be inferred from them [Russell, by Bennett,K]
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]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
14327 Trope theorists cannot explain how tropes resemble each other [Russell, by Mumford]