Combining Texts

All the ideas for 'poems', 'Mathematics and Philosophy: grand and little' and 'Platonistic Theories of Universals'

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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]

2. Reason / B. Laws of Thought / 6. Ockham's Razor

8964	Entities can be multiplied either by excessive categories, or excessive entities within a category [Hoffman/Rosenkrantz]

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 / D. Universals / 4. Uninstantiated Universals

8962	'There are shapes which are never exemplified' is the toughest example for nominalists [Hoffman/Rosenkrantz]

8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism

8961	Nominalists are motivated by Ockham's Razor and a distrust of unobservables [Hoffman/Rosenkrantz]

10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds

8963	Four theories of possible worlds: conceptualist, combinatorial, abstract, or concrete [Hoffman/Rosenkrantz]

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

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

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

6017	Nomos is king [Pindar]