Combining Texts

All the ideas for 'fragments/reports', 'Inexpressible Properties and Propositions' and 'Mathematics and Philosophy: grand and little'

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12 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]

3. Truth / H. Deflationary Truth / 3. Minimalist Truth

17990

Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

17988

Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]

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]

8. Modes of Existence / B. Properties / 1. Nature of Properties

17989

Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]

19. Language / F. Communication / 6. Interpreting Language / a. Translation

17991

Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]

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 / A. Speculations on Nature / 5. Infinite in Nature

1748	Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]

27. Natural Reality / G. Biology / 3. Evolution

5989	Archelaus said life began in a primeval slime [Archelaus, by Schofield]