Combining Texts

All the ideas for 'fragments/reports', 'Introduction to Zermelo's 1930 paper' and 'Philosophical Remarks'

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

---

9 ideas

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]

9. Objects / A. Existence of Objects / 3. Objects in Thought

22320

An 'object' is just what can be referred to without possible non-existence [Wittgenstein]

19. Language / A. Nature of Meaning / 2. Meaning as Mental

18283

Language pictures the essence of the world [Wittgenstein]

19. Language / A. Nature of Meaning / 5. Meaning as Verification

18282

You can't believe it if you can't imagine a verification for it [Wittgenstein]

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]