Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Panpsychism' and 'Presentism and Properties'

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9 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]

8. Modes of Existence / B. Properties / 7. Emergent Properties

3291	Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel]

26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity

3290	Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel]

27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism

14409

I am a presentist, and all language and common sense supports my view [Bigelow]