Combining Texts

All the ideas for 'fragments/reports', 'Philosophy without Intuitions' and 'Continuity and Irrational Numbers'

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8 ideas

2. Reason / E. Argument / 7. Thought Experiments
20183 So-called 'though experiments' are just philosophers observing features of the world [Cappelen]
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]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
20182 The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen]
25. Social Practice / E. Policies / 5. Education / b. Education principles
13304 Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
20820 Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]