Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and '14: Superstition'

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10 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought

1597	Thales was the first western thinker to believe the arché was intelligible [Roochnik on Thales]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

17837

Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

17836

The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]

10. Modality / C. Sources of Modality / 5. Modality from Actuality

3013	Nothing is stronger than necessity, which rules everything [Thales, by Diog. Laertius]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances

1494	Thales said water is the first principle, perhaps from observing that food is moist [Thales, by Aristotle]

27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement

1713	Thales must have thought soul causes movement, since he thought magnets have soul [Thales, by Aristotle]

28. God / C. Attitudes to God / 5. Atheism

5957	Absurd superstitions make people atheist, not disharmony in nature [Plutarch]

29. Religion / A. Polytheistic Religion / 2. Greek Polytheism

1742	Thales said the gods know our wrong thoughts as well as our evil actions [Thales, by Diog. Laertius]