Combining Texts

All the ideas for 'works', 'Mathematics without Foundations' and 'Prologue to Ordinatio'

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10 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
6782 Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]
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]
22181 Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
9100 Our intellect only assents to what we believe to be true [William of Ockham]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
9101 Abstractive cognition knows universals abstracted from many singulars [William of Ockham]