Combining Philosophers

All the ideas for Numenius, R Kaplan / E Kaplan and Paul Feyerabend

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9 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science

6601	Science rules the globe because of colonising power, not inherent rationality [Feyerabend]

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 / B. Scientific Theories / 6. Theory Holism

2561	For Feyerabend the meaning of a term depends on a whole theory [Feyerabend, by Rorty]

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

15713

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

28. God / A. Divine Nature / 1. God

6011	There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]