Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Of the First Principles of Government' and 'Mad Pain and Martian Pain'

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11 ideas

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]
17. Mind and Body / C. Functionalism / 4. Causal Functionalism
7444 Type-type psychophysical identity is combined with a functional characterisation of pain [Lewis]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
7445 The application of 'pain' to physical states is non-rigid and contingent [Lewis]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
7443 A theory must be mixed, to cover qualia without behaviour, and behaviour without qualia [Lewis, by PG]
25. Social Practice / C. Rights / 1. Basis of Rights
21094 There are two kinds of right - to power, and to property [Hume]
25. Social Practice / C. Rights / 4. Property rights
21095 It is an exaggeration to say that property is the foundation of all government [Hume]