Combining Texts

All the ideas for 'fragments/reports', 'Causal Structuralism' and 'Philosophy of Mathematics'

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13 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]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
A categorical basis could hardly explain a disposition if it had no powers of its own [Hawthorne]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Is the causal profile of a property its essence? [Hawthorne]
Could two different properties have the same causal profile? [Hawthorne]
If properties are more than their powers, we could have two properties with the same power [Hawthorne]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
We can treat the structure/form of the world differently from the nodes/matter of the world [Hawthorne]
9. Objects / D. Essence of Objects / 3. Individual Essences
An individual essence is a necessary and sufficient profile for a thing [Hawthorne]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / C. Causation / 7. Eliminating causation
Maybe scientific causation is just generalisation about the patterns [Hawthorne]
26. Natural Theory / D. Laws of Nature / 6. Laws as Numerical
We only know the mathematical laws, but not much else [Hawthorne]