Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'thirty titles (lost)' and 'The Facts of Causation'

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11 ideas

3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
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
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
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
Arithmetical undecidability is always settled at the next stage up [Koellner]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
Speusippus suggested underlying principles for every substance, and ended with a huge list [Speussipus, by Aristotle]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causal statements relate facts (which are whatever true propositions express) [Mellor, by Psillos]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
Probabilistic causation says C is a cause of E if it increases the chances of E occurring [Mellor, by Tooley]
28. God / C. Attitudes to God / 5. Atheism
Speusippus said things were governed by some animal force rather than the gods [Speussipus, by Cicero]