Combining Texts

All the ideas for 'fragments/reports', 'Elements of Intuitionism' and 'Russell'

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

---

6 ideas

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 / 6. Logicism / a. Early logicism

6408	Russell needed three extra axioms to reduce maths to logic: infinity, choice and reducibility [Grayling]

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]

12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence

6414	Two propositions might seem self-evident, but contradict one another [Grayling]

26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature

1748	Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]

27. Natural Reality / G. Biology / 3. Evolution

5989	Archelaus said life began in a primeval slime [Archelaus, by Schofield]