Combining Texts

All the ideas for 'The Courtier and the Heretic', 'Moral Consciousness and Communicative Action' and 'The Art of the Infinite'

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

---

9 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]

20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism

15677

Moral right is linked to validity and truth, so morality is a matter of knowledge, not an expression of values [Habermas, by Finlayson]

23. Ethics / B. Contract Ethics / 9. Contractualism

15671

Move from individual willing of a general law, to willing norms agreed with other people [Habermas]

24. Political Theory / D. Ideologies / 10. Theocracy

7825	The politics of Leibniz was the reunification of Christianity [Stewart,M]