Combining Texts

All the ideas for 'The Mental Life of Some Machines', 'Aristotle on Substance' and 'Philosophy of Mathematics'

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8 ideas

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]
9. Objects / C. Structure of Objects / 3. Matter of an Object
Aristotelian matter seriously threatens the intrinsic unity and substantiality of its object [Gill,ML]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Instances of pain are physical tokens, but the nature of pain is more abstract [Putnam, by Lycan]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
Prime matter has no place in Aristotle's theories, and passages claiming it are misread [Gill,ML]
Prime matter is actually nothing and potentially everything (or potentially an element) [Gill,ML]