Combining Texts

All the ideas for 'fragments/reports', 'Mathematics and Philosophy: grand and little' and 'Semantic Necessity'

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14 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]

5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic

14620

Theories in logic are sentences closed under consequence, but in truth discussions theories have axioms [Fine,K]

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

14530

The role of semantic necessity in semantics is like metaphysical necessity in metaphysics [Fine,K, by Hale/Hoffmann,A]

19. Language / C. Assigning Meanings / 2. Semantics

14618

Semantics is either an assignment of semantic values, or a theory of truth [Fine,K]

14621

Semantics is a body of semantic requirements, not semantic truths or assigned values [Fine,K]

19. Language / C. Assigning Meanings / 7. Extensional Semantics

14622

Referential semantics (unlike Fregeanism) allows objects themselves in to semantic requirements [Fine,K]

19. Language / E. Analyticity / 4. Analytic/Synthetic Critique

14619

The Quinean doubt: are semantics and facts separate, and do analytic sentences have no factual part? [Fine,K]

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]