Combining Texts

All the ideas for 'Mathematics and Philosophy: grand and little', 'Foucault: a very short introduction' and 'Frege on Knowing the Foundations'

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9 ideas

1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
Since Kant, self-criticism has been part of philosophy [Gutting]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Philosophy aims to reveal the grandeur of mathematics [Badiou]
1. Philosophy / H. Continental Philosophy / 4. Linguistic Structuralism
Structuralism describes human phenomena in terms of unconscious structures [Gutting]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
We come to believe mathematical propositions via their grounding in the structure [Burge]
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]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
All great poetry is engaged in rivalry with mathematics [Badiou]