Combining Texts

All the ideas for 'Introduction to 'Properties'', 'Mathematics and Philosophy: grand and little' and 'Personal Identity and Memory'

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12 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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
Mathematics shows that thinking is not confined to the finite [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
It is of the essence of being to appear [Badiou]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Properties are respects in which particular objects may be alike or differ [Mellor/Oliver]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Nominalists ask why we should postulate properties at all [Mellor/Oliver]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
If memory is the sole criterion of identity, we ought to use it for other people too [Shoemaker]
Bodily identity is one criterion and memory another, for personal identity [Shoemaker, by PG]
18. Thought / E. Abstraction / 5. Abstracta by Negation
Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]