Combining Texts

All the ideas for 'fragments/reports', 'Russell' and 'New Foundations for Mathematical Logic'

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Two propositions might seem self-evident, but contradict one another [Grayling]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]