Combining Texts

All the ideas for 'fragments/reports', 'Chemistry' and 'Must We Believe in Set Theory?'

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23 ideas

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 / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
17486 Supervenience is simply modally robust property co-variance [Hendry]
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]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
17481 Nuclear charge (plus laws) explains electron structure and spectrum, but not vice versa [Hendry]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
17478 Maybe two kinds are the same if there is no change of entropy on isothermal mixing [Hendry]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
17479 The nature of an element must survive chemical change, so it is the nucleus, not the electrons [Hendry]
17484 Maybe the nature of water is macroscopic, and not in the microstructure [Hendry]
17485 Maybe water is the smallest part of it that still counts as water (which is H2O molecules) [Hendry]
27. Natural Reality / F. Chemistry / 1. Chemistry
17483 Water continuously changes, with new groupings of molecules [Hendry]
17482 Compounds can differ with the same collection of atoms, so structure matters too [Hendry]
27. Natural Reality / F. Chemistry / 2. Modern Elements
17476 Elements survive chemical change, and are tracked to explain direction and properties [Hendry]
17477 Defining elements by atomic number allowed atoms of an element to have different masses [Hendry]
27. Natural Reality / F. Chemistry / 3. Periodic Table
17480 Generally it is nuclear charge (not nuclear mass) which determines behaviour [Hendry]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]