Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'On Recent German Literature. Fragments' and 'The Facts of Causation'

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10 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
20947 Thoughts are learnt through words, so language shows the limits and shape of our knowledge [Herder]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
10365 We might use 'facta' to refer to the truth-makers for facts [Mellor, by Schaffer,J]
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]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
4785 Causal statements relate facts (which are whatever true propositions express) [Mellor, by Psillos]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
8408 Probabilistic causation says C is a cause of E if it increases the chances of E occurring [Mellor, by Tooley]