Combining Philosophers

All the ideas for Menedemus, Richard Corry and R Kaplan / E Kaplan

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12 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]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
An 'antidote' allows a manifestation to begin, but then blocks it [Corry]
A 'finkish' disposition is one that is lost immediately after the appropriate stimulus [Corry]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
If a disposition is never instantiated, it shouldn't be part of our theory of nature [Corry]
14. Science / A. Basis of Science / 3. Experiment
Maybe an experiment unmasks an essential disposition, and reveals its regularities [Corry]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
23. Ethics / A. Egoism / 1. Ethical Egoism
The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Dispositional essentialism says fundamental laws of nature are strict, not ceteris paribus [Corry]