Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Free Will as Involving Determinism' and 'Principle of Life and Plastic Natures'

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16 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]
12. Knowledge Sources / B. Perception / 1. Perception
19419 Not all of perception is accompanied by consciousness [Leibniz]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
22371 Determinism threatens free will if actions can be causally traced to external factors [Foot]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
19421 Souls act as if there were no bodies, and bodies act as if there were no souls [Leibniz]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
22372 Not all actions need motives, but it is irrational to perform troublesome actions with no motive [Foot]
22. Metaethics / B. Value / 2. Values / e. Death
19420 Death and generation are just transformations of an animal, augmented or diminished [Leibniz]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
22373 People can act out of vanity without being vain, or even vain about this kind of thing [Foot]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
19416 Not all of matter is animated, any more than a pond full of living fish is animated [Leibniz]
19422 Every particle of matter contains organic bodies [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
19418 Mechanics shows that all motion originates in other motion, so there is a Prime Mover [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
19417 All substances are in harmony, even though separate, so they must have one divine cause [Leibniz]