Combining Texts

All the ideas for 'Ethical Studies', 'On the analysis of moral judgements' and 'The Art of the Infinite'

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

14 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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
6968 Some people think there are ethical facts, but of a 'queer' sort [Ayer]
6972 A right attitude is just an attitude one is prepared to stand by [Ayer]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
6973 Moral theories are all meta-ethical, and are neutral as regards actual conduct [Ayer]
6974 Moral judgements cannot be the logical consequence of a moral philosophy [Ayer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
6971 I would describe intuitions of good as feelings of approval [Ayer]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
6969 Approval of historical or fictional murders gives us leave to imitate them [Ayer]
6970 Moral judgements are not expressions, but are elements in a behaviour pattern [Ayer]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
5655 Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]