Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Philosophy of Mathematics' and 'The Coherence Theory of Truth'

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19 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
19079 For idealists reality is like a collection of beliefs, so truths and truthmakers are not distinct [Young,JO]
3. Truth / D. Coherence Truth / 1. Coherence Truth
19076 Coherence theories differ over the coherence relation, and over the set of proposition with which to cohere [Young,JO]
19077 Two propositions could be consistent with your set, but inconsistent with one another [Young,JO]
19078 Coherence with actual beliefs, or our best beliefs, or ultimate ideal beliefs? [Young,JO]
19084 Coherent truth is not with an arbitrary set of beliefs, but with a set which people actually do believe [Young,JO]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
19083 How do you identify the best coherence set; and aren't there truths which don't cohere? [Young,JO]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
19075 Deflationary theories reject analysis of truth in terms of truth-conditions [Young,JO]
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 / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
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 / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
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]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
19074 Are truth-condtions other propositions (coherence) or features of the world (correspondence)? [Young,JO]
19082 Coherence truth suggests truth-condtions are assertion-conditions, which need knowledge of justification [Young,JO]