Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Panpsychism' and 'Matters of Mind'

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14 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel]
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]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel]