Combining Texts

All the ideas for 'fragments/reports', 'Proper Names' and 'The Art of the Infinite'

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12 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]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
7746 We don't normally think of names as having senses (e.g. we don't give definitions of them) [Searle]
7747 How can a proper name be correlated with its object if it hasn't got a sense? [Searle]
7748 'Aristotle' means more than just 'an object that was christened "Aristotle"' [Searle]
7749 Reference for proper names presupposes a set of uniquely referring descriptions [Searle]
7750 Proper names are logically connected with their characteristics, in a loose way [Searle]
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]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
22511 Some reasonings are stronger than we are [Philolaus]