Combining Texts

All the ideas for 'works', 'Proof that every set can be well-ordered' and 'Gentzen's Analysis of First-Order Proofs'

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

---

6 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science

6782	Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

13831

Logic is based on transitions between sentences [Prawitz]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

13825

Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

13823

In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897

Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]

7. Existence / D. Theories of Reality / 4. Anti-realism

22181

Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]