Combining Texts

All the ideas for 'What is so bad about Contradictions?', 'Introduction to Zermelo's 1930 paper' and 'Against the Logicians (two books)'

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10 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis

22764

Ordinary speech is not exact about what is true; we say we are digging a well before the well exists [Sext.Empiricus]

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

9123	Someone standing in a doorway seems to be both in and not-in the room [Priest,G, by Sorensen]

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 / D. Essence of Objects / 9. Essence and Properties

22762

Some properties are inseparable from a thing, such as the length, breadth and depth of a body [Sext.Empiricus]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification

22759

Fools, infants and madmen may speak truly, but do not know [Sext.Empiricus]

13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge

22760

Madmen are reliable reporters of what appears to them [Sext.Empiricus]

18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts

22763

We can only dream of a winged man if we have experienced men and some winged thing [Sext.Empiricus]