Combining Philosophers

All the ideas for Buddhaghosa, R Kaplan / E Kaplan and Douglas Edwards

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11 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]

8. Modes of Existence / B. Properties / 2. Need for Properties

18430

We accept properties because of type/tokens, reference, and quantification [Edwards]

8. Modes of Existence / B. Properties / 10. Properties as Predicates

18432

Quineans say that predication is primitive and inexplicable [Edwards]

8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism

18437

Resemblance nominalism requires a second entity to explain 'the rose is crimson' [Edwards]

9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts

18434

That a whole is prior to its parts ('priority monism') is a view gaining in support [Edwards]

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

15713

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

25. Social Practice / F. Life Issues / 1. Causing Death

7907	Human killing is worse if the victim is virtuous [Buddhaghosa]