Combining Texts

All the ideas for 'Presentation of Self in Everyday Life', 'A General Principle to Explain Laws of Nature' and 'On the Question of Absolute Undecidability'

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9 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
19395 Philosophy is sanctified, because it flows from God [Leibniz]
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]
9. Objects / F. Identity among Objects / 1. Concept of Identity
19394 Inequality can be brought infinitely close to equality [Leibniz]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
8044 Goffman sees the self as no more than a peg on which to hang roles we play [Goffman, by MacIntyre]