Combining Texts

All the ideas for 'fragments/reports', 'The Thesis that Mathematics is Logic' and 'Continuity and Irrational Numbers'

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

---

6 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

10066

Putnam coined the term 'if-thenism' [Putnam, by Musgrave]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

17611

We want the essence of continuity, by showing its origin in arithmetic [Dedekind]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

10572

A cut between rational numbers creates and defines an irrational number [Dedekind]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic

17612

Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18087

If x changes by less and less, it must approach a limit [Dedekind]

27. Natural Reality / G. Biology / 1. Biology

651	Eurytus showed that numbers underlie things by making pictures of creatures out of pebbles [Eurytus, by Aristotle]