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Usage Examples English
- The novelty of Dummett's approach consisted in portraying these disputes as analogous to the dispute between intuitionism and Platonism in the philosophy of mathematics.
- Kant's often brief remarks about mathematics influenced the mathematical school known as intuitionism, a movement in philosophy of mathematics opposed to Hilbert's formalism, and Frege and Bertrand Russell's logicism.
- Chaitin also writes about philosophy, especially metaphysics and philosophy of mathematics (particularly about epistemological matters in mathematics).
- This program is still recognizable in the most popular philosophy of mathematics, where it is usually called "formalism".
- 2010: "Philosophy of Mathematics: Selected Writings" collects important writings by Peirce on the subject, many not previously in print. Edited by Matthew E. Moore, in print.
- The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics.
- Whether it is meaningful (and, if so, what it means) for an axiom to be "true" is a subject of debate in the philosophy of mathematics.
- ... A standard mathematical education does not develop such idea analysis techniques because it does not pursue considerations of A) what structures of the mind allow it to do mathematics or B) the philosophy of mathematics.
- His preferred philosophy of mathematics was formalism (cf. ...
- In philosophy of mathematics, he and his Harvard colleague Hilary Putnam developed the Quine–Putnam indispensability thesis, an argument for the reality of mathematical entities.
- In the philosophy of mathematics, some of Whitehead's ideas re-emerged in combination with cognitivism as the cognitive science of mathematics and embodied mind theses.
- In axiomatic form, mathematical statements about probability theory carry the same sort of epistemological confidence within the philosophy of mathematics as are shared by other mathematical statements.
- Gardner was known for his sometimes controversial philosophy of mathematics.
- ... 26 April 1889 – 29 April 1951) was an Austrian philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language.
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Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
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