Combining Texts

All the ideas for 'poems', 'Wittgenstein on Rules and Private Language' and 'Introduction to Zermelo's 1930 paper'

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11 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]

18. Thought / A. Modes of Thought / 10. Rule Following

19271

No rule can be fully explained [Kripke]

19269

'Quus' means the same as 'plus' if the ingredients are less than 57; otherwise it just produces 5 [Kripke]

19. Language / A. Nature of Meaning / 10. Denial of Meanings

7305	Kripke's Wittgenstein says meaning 'vanishes into thin air' [Kripke, by Miller,A]

19270

If you ask what is in your mind for following the addition rule, meaning just seems to vanish [Kripke]

19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics

11076

Community implies assertability-conditions rather than truth-conditions semantics [Kripke, by Hanna]

19. Language / F. Communication / 4. Private Language

11075

The sceptical rule-following paradox is the basis of the private language argument [Kripke, by Hanna]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

6017	Nomos is king [Pindar]