Combining Texts

All the ideas for 'The Basing Relation', 'Continuity and Irrational Numbers' and 'talk'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
22519 Philosophers are revealed by their fears [Billington]
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]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
19696 There are reasons 'for which' a belief is held, reasons 'why' it is believed, and reasons 'to' believe it [Neta]
19697 The basing relation of a reason to a belief should both support and explain the belief [Neta]