Combining Texts

All the ideas for 'Science and Method', 'Mathematics and Philosophy: grand and little' and 'The Pragmatist Account of Truth'

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10 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 / 3. Non-Contradiction

22642

Man has an intense natural interest in the consistency of his own thinking [James]

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 / 2. Geometry

10245

One geometry cannot be more true than another [Poincaré]

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 / D. Theories of Reality / 8. Facts / c. Facts and truths

22641

Realities just are, and beliefs are true of them [James]

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism

22640

We find satisfaction in consistency of all of our beliefs, perceptions and mental connections [James]

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

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