Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Making It Explicit' and 'Capitalism and Community'

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12 ideas

3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
10355 Facts can't make claims true, because they are true claims [Brandom, by Kusch]
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]
24. Political Theory / D. Ideologies / 11. Capitalism
22252 Capitalism may actually be the best way to foster community [Conway,D]
22253 Capitalism is just the market, with optional limited government, and perhaps democracy [Conway,D]
22256 Capitalism prefers representative democracy, which avoids community decision-making [Conway,D]
22255 Capitalism breaks up extended families, and must then provide welfare for the lonely people [Conway,D]
22257 Capitalism is anti-community, by only valuing individuals, and breaking up families [Conway,D]