Combining Texts

All the ideas for 'Vagaries of Definition', 'On Freedom' and 'Mathematics and Philosophy: grand and little'

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13 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 / 5. The Infinite / a. The Infinite
9813 Mathematics shows that thinking is not confined to the finite [Badiou]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
8203 All the arithmetical entities can be reduced to classes of integers, and hence to sets [Quine]
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 / B. Possibility / 5. Contingency
5040 Necessary truths can be analysed into original truths; contingent truths are infinitely analysable [Leibniz]
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
13159 Only God sees contingent truths a priori [Leibniz]
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
5039 If non-existents are possible, their existence would replace what now exists, which cannot therefore be necessary [Leibniz]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
8202 Meaning is essence divorced from things and wedded to words [Quine]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
8201 The distinction between meaning and further information is as vague as the essence/accident distinction [Quine]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
9814 All great poetry is engaged in rivalry with mathematics [Badiou]
28. God / A. Divine Nature / 3. Divine Perfections
5041 God does everything in a perfect way, and never acts contrary to reason [Leibniz]