Combining Texts

All the ideas for 'Scientific Explanation', 'Ambitious, yet modest, Metaphysics' and 'Continuity and Irrational Numbers'

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8 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science

16415

Esoteric metaphysics aims to be top science, investigating ultimate reality [Hofweber]

1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics

16413

Science has discovered properties of things, so there are properties - so who needs metaphysics? [Hofweber]

2. Reason / F. Fallacies / 4. Circularity

9355	One sort of circularity presupposes a premise, the other presupposes a rule being used [Braithwaite, by Devitt]

5. Theory of Logic / G. Quantification / 1. Quantification

16416

The quantifier in logic is not like the ordinary English one (which has empty names, non-denoting terms etc) [Hofweber]

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]