Combining Texts

All the ideas for 'Reply to 'Rorarius' 2nd ed', 'Mathematics without Foundations' and 'Letters to Johann Bernoulli'

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11 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 / C. Structure of Existence / 6. Fundamentals / c. Monads
13174 A piece of flint contains something resembling perceptions and appetites [Leibniz]
13175 Entelechies are analogous to souls, as other minds are analogous to our own minds [Leibniz]
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 / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
13172 What we cannot imagine may still exist [Leibniz]
22. Metaethics / B. Value / 2. Values / e. Death
13173 Death is just the contraction of an animal [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
19384 Space and time are the order of all possibilities, and don't just relate to what is actual [Leibniz]