Combining Philosophers

All the ideas for Benjamin Constant, Mary Astell and R Kaplan / E Kaplan

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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
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
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'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
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
If men are born free, are women born slaves? [Astell]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Liberty is the triumph of the individual, over both despotic government and enslaving majorities [Constant]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Minority rights are everyone's rights, because we all have turns in the minority [Constant]