Combining Texts

All the ideas for 'works', 'Why Reason Can't be Naturalized' and 'Elements of Intuitionism'

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4 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Truth is rational acceptability [Putnam]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]