Combining Texts

All the ideas for 'Laches', 'Matter and Memory' and 'The Art of the Infinite'

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

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10 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated

291	Don't assume that wisdom is the automatic consequence of old age [Plato]

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]

7. Existence / A. Nature of Existence / 3. Being / c. Becoming

21846

Bergson was a rallying point, because he emphasised becomings and multiplicities [Bergson, by Deleuze]

12. Knowledge Sources / E. Direct Knowledge / 4. Memory

21854

Bergson showed that memory is not after the event, but coexists with it [Bergson, by Deleuze]

14. Science / C. Induction / 3. Limits of Induction

15713

The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]

23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage

293	Being unafraid (perhaps through ignorance) and being brave are two different things [Plato]