Combining Texts

All the ideas for 'Philosophy of Mathematics', 'Lewis on Perdurance versus Endurance' and 'Philosophical Analysis'

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6 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analysis aims at the structure of facts, which are needed to give a rationale to analysis [Urmson, by Schaffer,J]
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
7. Existence / B. Change in Existence / 1. Nature of Change
Maybe particles are unchanging, and intrinsic change in things is their rearrangement [Lowe, by Lewis]