Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Mathematics and Philosophy: grand and little' and 'There Are No Abstract Objects'

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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 / 4. Using Numbers / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

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]

8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta

14596

Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr]

8. Modes of Existence / E. Nominalism / 5. Class Nominalism

14597

Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr]

10. Modality / A. Necessity / 11. Denial of Necessity

14598

Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr]

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

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