Combining Texts

All the ideas for 'Elements of Intuitionism', 'The Life of Reason' and 'Letters to Samuel Masson'

expand these ideas     |    start again     |     specify just one area for these texts

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4 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy

8000	He who is ignorant of the history of philosophy is doomed to repeat it [Santayana, by MacIntyre]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

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Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

13190

I don't admit infinite numbers, and consider infinitesimals to be useful fictions [Leibniz]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

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For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]