Combining Texts

All the ideas for 'fragments/reports', 'Analyzing Modality' and 'The Art of the Infinite'

expand these ideas     |    start again     |     specify just one area for these texts

21 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 / G. Quantification / 3. Objectual Quantification
11115 'All horses' either picks out the horses, or the things which are horses [Jubien]
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]
9. Objects / A. Existence of Objects / 1. Physical Objects
11116 Being a physical object is our most fundamental category [Jubien]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
11117 Haecceities implausibly have no qualities [Jubien]
10. Modality / A. Necessity / 11. Denial of Necessity
11119 De re necessity is just de dicto necessity about object-essences [Jubien]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
11118 Modal propositions transcend the concrete, but not the actual [Jubien]
11108 Your properties, not some other world, decide your possibilities [Jubien]
11111 Modal truths are facts about parts of this world, not about remote maximal entities [Jubien]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
11105 We have no idea how many 'possible worlds' there might be [Jubien]
11109 If other worlds exist, then they are scattered parts of the actual world [Jubien]
11106 If all possible worlds just happened to include stars, their existence would be necessary [Jubien]
11107 If there are no other possible worlds, do we then exist necessarily? [Jubien]
11112 Possible worlds just give parallel contingencies, with no explanation at all of necessity [Jubien]
11113 Worlds don't explain necessity; we use necessity to decide on possible worlds [Jubien]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
11110 We mustn't confuse a similar person with the same person [Jubien]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]