Combining Texts

All the ideas for 'Identity and Spatio-Temporal Continuity', 'Sources of Knowledge of Mathematics' and 'Mathematics and Philosophy: grand and little'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Mathematics shows that thinking is not confined to the finite [Badiou]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Late in life Frege abandoned logicism, and saw the source of arithmetic as geometrical [Frege, by Chihara]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
It is of the essence of being to appear [Badiou]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
'Ultimate sortals' cannot explain ontological categories [Westerhoff on Wiggins]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]