Combining Texts

All the ideas for 'fragments/reports', 'Continuity and Irrational Numbers' and 'Contextualism Contested'

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

---

8 ideas

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]

13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism

12890

That standards vary with context doesn't imply different truth-conditions for judgements [Conee]

12892

Maybe there is only one context (the 'really and truly' one) for serious discussions of knowledge [Conee]

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]