Combining Texts

All the ideas for 'talk', 'Elusive Knowledge' and 'Elements of Intuitionism'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
15938 Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
15939 For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
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]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
1556 By nature people are close to one another, but culture drives them apart [Hippias]