Combining Texts

All the ideas for 'Mathematics and Philosophy: grand and little', 'Beitrage' and 'On the Source of Necessity'

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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]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
15102 S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]
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 / 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]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
15103 Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9145 We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
9814 All great poetry is engaged in rivalry with mathematics [Badiou]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
15104 The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]