Combining Texts

All the ideas for 'Croce and Collingwood', 'Moral Philosophy meets social psychology' and 'The Art of the Infinite'

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14 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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
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
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'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
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
By 1790 aestheticians were mainly trying to explain individual artistic genius [Kemp]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Expression can be either necessary for art, or sufficient for art (or even both) [Kemp]
The horror expressed in some works of art could equallly be expressed by other means [Kemp]
We don't already know what to express, and then seek means of expressing it [Kemp]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Maybe consequentialism is a critique of ordinary morality, rather than describing it [Harman]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Maybe there is no such thing as character, and the virtues and vices said to accompany it [Harman]
If a person's two acts of timidity have different explanations, they are not one character trait [Harman]
Virtue ethics might involve judgements about the virtues of actions, rather than character [Harman]