Combining Texts

All the ideas for 'Sources of Knowledge of Mathematics', 'New Foundations for Mathematical Logic' and 'Interview with Baggini and Stangroom'

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8 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy

6859	Analytic philosophy has much higher standards of thinking than continental philosophy [Williamson]

4. Formal Logic / E. Nonclassical Logics / 4. Fuzzy Logic

6862	Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

9879	NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett]

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

6858	Formal logic struck me as exactly the language I wanted to think in [Williamson]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

9545	Late in life Frege abandoned logicism, and saw the source of arithmetic as geometrical [Frege, by Chihara]

7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance

6863	Close to conceptual boundaries judgement is too unreliable to give knowledge [Williamson]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

6861	What sort of logic is needed for vague concepts, and what sort of concept of truth? [Williamson]

12. Knowledge Sources / B. Perception / 1. Perception

6860	How can one discriminate yellow from red, but not the colours in between? [Williamson]