Combining Texts

All the ideas for 'Classical Cosmology (frags)', 'Matters of Mind' and 'Knowledge and the Philosophy of Number'

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15 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
15. Nature of Minds / A. Nature of Mind / 1. Mind / e. Questions about mind
Mindless bodies are zombies, bodiless minds are ghosts [Sturgeon]
Types are properties, and tokens are events. Are they split between mental and physical, or not? [Sturgeon]
15. Nature of Minds / B. Features of Minds / 5. Qualia / b. Qualia and intentionality
Intentionality isn't reducible, because of its experiential aspect [Sturgeon]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Rule-following can't be reduced to the physical [Sturgeon]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
The main argument for physicalism is its simple account of causation [Sturgeon]
18. Thought / C. Content / 10. Causal Semantics
Do facts cause thoughts, or embody them, or what? [Sturgeon]
27. Natural Reality / E. Cosmology / 1. Cosmology
Is the cosmos open or closed, mechanical or teleological, alive or inanimate, and created or eternal? [Robinson,TM, by PG]