Combining Texts

All the ideas for 'Time Without Change', 'Must We Believe in Set Theory?' and 'Reference and Reflexivity'

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

18 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
8594 People have had good reasons for thinking that the circle has been squared [Shoemaker]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492 A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485 Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484 The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
7. Existence / D. Theories of Reality / 4. Anti-realism
8596 Inability to measure equality doesn't make all lengths unequal [Shoemaker]
8597 We couldn't verify the earth's rotation if everyone simultaneously fell asleep [Shoemaker]
8. Modes of Existence / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10487 I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
8593 Maybe billions of changeless years have elapsed since my last meal [Shoemaker]
18. Thought / A. Modes of Thought / 9. Indexical Thought
16391 Indexical thoughts are about themselves, and ascribe properties to themselves [Perry, by Recanati]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
8598 If things turn red for an hour and then explode, we wouldn't say the redness was the cause [Shoemaker]
27. Natural Reality / D. Time / 1. Nature of Time / e. Eventless time
4226 If three regions 'freeze' every three, four and five years, after sixty years everything stops for a year [Shoemaker, by Lowe]
8595 If three regions freeze every 3rd, 4th and 5th year, they all freeze together every 60 years [Shoemaker]