Combining Texts

All the ideas for 'Mathematics and Philosophy: grand and little', 'works' and 'Locke on Essences and Kinds'

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11 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 / E. Nonclassical Logics / 5. Relevant Logic

8720	A logic is 'relevant' if premise and conclusion are connected, and 'paraconsistent' allows contradictions [Priest,G, by Friend]

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]

9. Objects / D. Essence of Objects / 13. Nominal Essence

15642

If kinds depend only on what can be observed, many underlying essences might produce the same kind [Eagle]

15645

Nominal essence are the observable properties of things [Eagle]

15643

Nominal essence mistakenly gives equal weight to all underlying properties that produce appearances [Eagle]

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

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

26. Natural Theory / B. Natural Kinds / 4. Source of Kinds

15641

Kinds are fixed by the essential properties of things - the properties that make it that kind of thing [Eagle]