Combining Texts

All the ideas for 'fragments/reports', 'The Art of the Infinite' and 'Philosophy as a way of life'

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

---

11 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy

9198	It is no longer possible to be a sage, but we can practice the exercise of wisdom [Hadot]

2. Reason / A. Nature of Reason / 2. Logos

9197	The logos represents a demand for universal rationality [Hadot]

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 / C. The Good / 3. Pleasure / b. Types of pleasure

9196	The pleasure of existing is the only genuine pleasure [Hadot]

25. Social Practice / E. Policies / 5. Education / b. Education principles

13304

Learned men gain more in one day than others do in a lifetime [Posidonius]

27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure

20820

Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]