Combining Texts

All the ideas for 'works', 'On the Question of Absolute Undecidability' and 'Reliabilism'

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10 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]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
19727 Reliabilist knowledge is evidence based belief, with high conditional probability [Comesaņa]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
19725 In a sceptical scenario belief formation is unreliable, so no beliefs at all are justified? [Comesaņa]
19726 How do we decide which exact process is the one that needs to be reliable? [Comesaņa]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
20239 Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]