Combining Texts

All the ideas for 'Scientific Realism', 'Contextualism Contested (and reply)' and 'Continuity and Irrational Numbers'

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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]
8. Modes of Existence / B. Properties / 5. Natural Properties
14933 Scientific properties are defined by the laws that embody them [Psillos, by Ladyman/Ross]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
19555 People begin to doubt whether they 'know' when the answer becomes more significant [Conee]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism
19557 Maybe low knowledge standards are loose talk; people will deny that it is 'really and truly' knowledge [Conee]
19556 Maybe knowledge has fixed standards (high, but attainable), although people apply contextual standards [Conee]