Combining Texts

All the ideas for 'The Birth of Tragedy', 'On Simple Theories of a Complex World' and 'Continuity and Irrational Numbers'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
7848 Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
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]
14. Science / B. Scientific Theories / 1. Scientific Theory
21687 It seems obvious to prefer the simpler of two theories, on grounds of beauty and convenience [Quine]
21688 There are four suspicious reasons why we prefer simpler theories [Quine]