Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Reference and Essence: seven appendices' and 'Occasions of Identity'

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12 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]
7. Existence / D. Theories of Reality / 10. Vagueness / g. Degrees of vagueness
14742 It can't be indeterminate whether x and y are identical; if x,y is indeterminate, then it isn't x,x [Salmon,N]
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
13437 A CAR and its major PART can become identical, yet seem to have different properties [Gallois]
9. Objects / E. Objects over Time / 1. Objects over Time
16233 Gallois hoped to clarify identity through time, but seems to make talk of it impossible [Hawley on Gallois]
9. Objects / F. Identity among Objects / 3. Relative Identity
14755 Gallois is committed to identity with respect to times, and denial of simple identity [Gallois, by Sider]
9. Objects / F. Identity among Objects / 6. Identity between Objects
16231 Occasional Identity: two objects can be identical at one time, and different at others [Gallois, by Hawley]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
18885 Kripke and Putnam made false claims that direct reference implies essentialism [Salmon,N]