Combining Texts

All the ideas for 'Action, Intention and Reason', 'Mathematics without Foundations' and 'The Definition of Good'

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8 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
We understand some statements about all sets [Putnam]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
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
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
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
Science requires more than consistency of mathematics [Putnam]
7. Existence / D. Theories of Reality / 4. Anti-realism
You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
Actions are not mere effects of reasons, but are under their control [Audi,R]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
The ground for an attitude is not a thing's 'goodness', but its concrete characteristics [Ewing]