Combining Texts

All the ideas for 'Issues of Pragmaticism', 'Knowledge and the State of Nature' and 'Introduction to Zermelo's 1930 paper'

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6 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]

11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge

23559

We have the concept of 'knowledge' as a label for good informants [Craig, by Fricker,M]

19. Language / A. Nature of Meaning / 1. Meaning

19087

The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]