Combining Texts

All the ideas for 'Mathematics and Philosophy: grand and little', 'Do Conditionals Have Truth Conditions?' and 'Universals'

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14 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
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 / D. Universals / 1. Universals
The distinction between particulars and universals is a mistake made because of language [Ramsey]
We could make universals collections of particulars, or particulars collections of their qualities [Ramsey]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact [Ramsey]
10. Modality / B. Possibility / 6. Probability
Truth-functional possibilities include the irrelevant, which is a mistake [Edgington]
10. Modality / B. Possibility / 8. Conditionals / a. Conditionals
It is a mistake to think that conditionals are statements about how the world is [Edgington]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
A conditional does not have truth conditions [Edgington]
X believes 'if A, B' to the extent that A & B is more likely than A & ¬B [Edgington]
10. Modality / B. Possibility / 8. Conditionals / e. Supposition conditionals
Conditionals express what would be the outcome, given some supposition [Edgington]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]