Combining Texts

All the ideas for 'The Nature of Things', 'Mathematics and Philosophy: grand and little' and 'Letters to Jourdain'

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16 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 / F. Set Theory ST / 7. Natural Sets
9406 A class is natural when everybody can spot further members of it [Quinton]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
8447 In 'Etna is higher than Vesuvius' the whole of Etna, including all the lava, can't be the reference [Frege]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
8448 Any object can have many different names, each with a distinct sense [Frege]
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]
7. Existence / E. Categories / 5. Category Anti-Realism
15730 Extreme nominalists say all classification is arbitrary convention [Quinton]
8. Modes of Existence / B. Properties / 5. Natural Properties
15728 The naturalness of a class depends as much on the observers as on the objects [Quinton]
9407 Properties imply natural classes which can be picked out by everybody [Quinton]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
15729 Uninstantiated properties must be defined using the instantiated ones [Quinton]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
8520 An individual is a union of a group of qualities and a position [Quinton, by Campbell,K]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
8446 We understand new propositions by constructing their sense from the words [Frege]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
8449 Senses can't be subjective, because propositions would be private, and disagreement impossible [Frege]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
9814 All great poetry is engaged in rivalry with mathematics [Badiou]