Combining Texts

All the ideas for 'Good and Evil', 'Mathematics without Foundations' and 'Outline of a System of Utilitarianism'

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9 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]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
22489 'Good' is an attributive adjective like 'large', not predicative like 'red' [Geach, by Foot]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
22405 Negative utilitarianism implies that the world should be destroyed, to avoid future misery [Smart]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
22404 Any group interested in ethics must surely have a sentiment of generalised benevolence [Smart]