Combining Texts

All the ideas for 'Quantifiers and Propositional Attitudes', 'A Critique of Utilitarianism' and 'The Art of the Infinite'

expand these ideas     |    start again     |     specify just one area for these texts

12 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
15717 Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
15712 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15711 The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
15714 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
15715 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
9471 Intensions are creatures of darkness which should be exorcised [Quine]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
22410 Maybe the unthinkable is a moral category, and considering some options is dishonourable or absurd [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
22408 Consequentialism assumes that situations can be compared [Williams,B]
22411 For a consequentialist massacring 7 million must be better than massacring 7 million and one [Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
22409 We don't have a duty to ensure that others do their duty [Williams,B]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
22407 Utilitarianism cannot make any serious sense of integrity [Williams,B]