Combining Philosophers

All the ideas for Jeremiah, Eurytus and R Kaplan / E Kaplan

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

---

10 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]

24. Political Theory / B. Nature of a State / 1. Purpose of a State

7346	Jeremiah implied a link between weakness and goodness, and the evil of the state [Jeremiah, by Johnson,P]

27. Natural Reality / G. Biology / 1. Biology

651	Eurytus showed that numbers underlie things by making pictures of creatures out of pebbles [Eurytus, by Aristotle]

28. God / A. Divine Nature / 3. Divine Perfections

22920

Do I not fill heaven and earth? saith the Lord [Jeremiah]

28. God / C. Attitudes to God / 3. Deism

22089

Am I a God afar off, and not a God close at hand? [Jeremiah]