Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Apprehension: reason in absence of Rules' and 'Explanations in reply to Mr Bradley'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
23025 Philosophers should be more inductive, and test results by their conclusions, not their self-evidence [Russell]
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]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
22668 Apprehension is a complex intellect grasping the essence of a complex object [Holt,L]