Combining Texts

All the ideas for 'Science and Method', 'Mathematics and Philosophy: grand and little' and 'Contextualism Contested (and reply)'

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10 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason

9808	Philosophy aims to reveal the grandeur of mathematics [Badiou]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

9812	In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]

6. Mathematics / A. Nature of Mathematics / 2. Geometry

10245

One geometry cannot be more true than another [Poincaré]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

9813	Mathematics shows that thinking is not confined to the finite [Badiou]

7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being

9809	Mathematics inscribes being as such [Badiou]

7. Existence / A. Nature of Existence / 6. Criterion for Existence

9811	It is of the essence of being to appear [Badiou]

13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism

19555

People begin to doubt whether they 'know' when the answer becomes more significant [Conee]

13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism

19557

Maybe low knowledge standards are loose talk; people will deny that it is 'really and truly' knowledge [Conee]

19556

Maybe knowledge has fixed standards (high, but attainable), although people apply contextual standards [Conee]

21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature

9814	All great poetry is engaged in rivalry with mathematics [Badiou]