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Ideas for 'teaching', 'Elements of Intuitionism' and 'Isagoge ('Introduction')'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One

7485	For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]

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

15938

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

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

15939

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