Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Barcan Formula and Metaphysics' and 'Lewis: reduction of mind (on himself)'

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22 ideas

2. Reason / E. Argument / 1. Argument
3993 Arguments are nearly always open to challenge, but they help to explain a position rather than force people to believe [Lewis]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
16186 The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]
16187 The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]
16190 BF implies that if W possibly had a child, then something is possibly W's child [Simchen]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 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
17887 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
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / C. Structure of Existence / 2. Reduction
3990 The whole truth supervenes on the physical truth [Lewis]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
3991 Where pixels make up a picture, supervenience is reduction [Lewis]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
16188 Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
3995 A mind is an organ of representation [Lewis]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
3994 Human pain might be one thing; Martian pain might be something else [Lewis]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
3989 I am a reductionist about mind because I am an a priori reductionist about everything [Lewis]
18. Thought / A. Modes of Thought / 4. Folk Psychology
3992 Folk psychology makes good predictions, by associating mental states with causal roles [Lewis]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
3996 Folk psychology doesn't say that there is a language of thought [Lewis]
18. Thought / C. Content / 6. Broad Content
3998 If you don't share an external world with a brain-in-a-vat, then externalism says you don't share any beliefs [Lewis]
3997 Nothing shows that all content is 'wide', or that wide content has logical priority [Lewis]
3999 A spontaneous duplicate of you would have your brain states but no experience, so externalism would deny him any beliefs [Lewis]
4000 Wide content derives from narrow content and relationships with external things [Lewis]