Combining Texts

All the ideas for 'works', 'Why Reason Can't be Naturalized' and 'The Art of the Infinite'

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

---

9 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth

8828	Truth is rational acceptability [Putnam]

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]

9. Objects / D. Essence of Objects / 5. Essence as Kind

13074

Only natural kinds and their members have real essences [Suárez, by Cover/O'Leary-Hawthorne]

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

15713

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

26. Natural Theory / C. Causation / 4. Naturalised causation

7563	The old 'influx' view of causation says it is a flow of accidental properties from A to B [Suárez, by Jolley]