Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Poverty of Philosophy' and 'The Flow of Time'

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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]
24. Political Theory / D. Ideologies / 11. Capitalism
21994 The handmill gives feudalism, the steam mill capitalism [Marx]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
22974 Presentists lack the materials for a realist view of change [Price,H]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
22973 The present moment, time's direction, and time's dynamic quality seem to be objective facts [Price,H]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
22975 We must explain either the existence of a time direction, or our psychological sense of it [Price,H]