Combining Texts

All the ideas for 'Mathematics without Numbers', 'Elusive Knowledge' and 'works'

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9 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
12899 The timid student has knowledge without belief, lacking confidence in their correct answer [Lewis]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
12897 To say S knows P, but cannot eliminate not-P, sounds like a contradiction [Lewis]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
12898 Justification is neither sufficient nor necessary for knowledge [Lewis]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
12895 Knowing is context-sensitive because the domain of quantification varies [Lewis, by Cohen,S]
19562 We have knowledge if alternatives are eliminated, but appropriate alternatives depend on context [Lewis, by Cohen,S]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
4398 An event causes another just if the second event would not have happened without the first [Lewis, by Psillos]