Combining Philosophers

All the ideas for Friedrich Engels, R Kaplan / E Kaplan and Stephen P. Schwartz

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11 ideas

2. Reason / D. Definition / 1. Definitions

5831	The new view is that "water" is a name, and has no definition [Schwartz,SP]

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]

5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive

5829	We refer to Thales successfully by name, even if all descriptions of him are false [Schwartz,SP]

5830	The traditional theory of names says some of the descriptions must be correct [Schwartz,SP]

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]

18. Thought / C. Content / 8. Intension

5826	The intension of "lemon" is the conjunction of properties associated with it [Schwartz,SP]

24. Political Theory / D. Ideologies / 11. Capitalism

20525

Free markets lead to boom and bust, pointless middlemen, and alienated workers [Engels]