Combining Texts

All the ideas for 'General Draft', 'Philosophy of Mathematics' and 'Contextualism Defended (and reply)'

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11 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
22026 Philosophy is homesickness - the urge to be at home everywhere [Novalis]
2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
19558 Our own intuitions about whether we know tend to vacillate [Cohen,S]
19561 We shouldn't jump too quickly to a contextualist account of claims to know [Cohen,S]
19563 The context sensitivity of knowledge derives from its justification [Cohen,S]
19560 Contextualism is good because it allows knowledge, but bad because 'knowing' is less valued [Cohen,S]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
19559 Contextualists slightly concede scepticism, but only in extremely strict contexts [Cohen,S]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
19591 Desire for perfection is an illness, if it turns against what is imperfect [Novalis]