Combining Texts

All the ideas for 'fragments/reports', 'The Pragmatist Account of Truth' and 'Introduction to Zermelo's 1930 paper'

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9 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction

22642

Man has an intense natural interest in the consistency of his own thinking [James]

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]

7. Existence / D. Theories of Reality / 8. Facts / c. Facts and truths

22641

Realities just are, and beliefs are true of them [James]

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism

22640

We find satisfaction in consistency of all of our beliefs, perceptions and mental connections [James]

25. Social Practice / E. Policies / 5. Education / b. Education principles

13304

Learned men gain more in one day than others do in a lifetime [Posidonius]

27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure

20820

Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]