Combining Texts

All the ideas for 'works', 'Introduction to Zermelo's 1930 paper' and 'Nihilism without Self-Contradiction'

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8 ideas

2. Reason / F. Fallacies / 7. Ad Hominem

14231

We should always apply someone's theory of meaning to their own utterances [Liggins]

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]

5. Theory of Logic / G. Quantification / 6. Plural Quantification

14232

We normally formalise 'There are Fs' with singular quantification and predication, but this may be wrong [Liggins]

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 / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects

14233

Nihilists needn't deny parts - they can just say that some of the xs are among the ys [Liggins]

22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics

5319	Avoid punishment, then get rewards, avoid rejection, avoid guilt, accept contracts, follow conscience [Kohlberg, by Wilson,EO]