Combining Texts

All the ideas for 'fragments/reports', 'On the Question of Absolute Undecidability' and 'The Theodicy'

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24 ideas

2. Reason / A. Nature of Reason / 3. Pure Reason
19335 Reasonings have a natural ordering in God's understanding, but only a temporal order in ours [Leibniz]
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]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
579 Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
578 Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]
16. Persons / F. Free Will / 5. Against Free Will
19367 Saying we must will whatever we decide to will leads to an infinite regress [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
19351 Perfections of soul subordinate the body, but imperfections of soul submit to the body [Leibniz]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
19331 Will is an inclination to pursue something good [Leibniz]
22. Metaethics / B. Value / 2. Values / e. Death
19346 Most people facing death would happily re-live a similar life, with just a bit of variety [Leibniz]
22. Metaethics / B. Value / 2. Values / j. Evil
19340 Metaphysical evil is imperfection; physical evil is suffering; moral evil is sin [Leibniz]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
19366 You can't assess moral actions without referring to the qualities of character that produce them [Leibniz]
28. God / A. Divine Nature / 2. Divine Nature
19326 God must be intelligible, to select the actual world from the possibilities [Leibniz]
28. God / A. Divine Nature / 3. Divine Perfections
19327 The intelligent cause must be unique and all-perfect, to handle all the interconnected possibilities [Leibniz]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
19344 God prefers men to lions, but might not exterminate lions to save one man [Leibniz]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
19330 If justice is arbitrary, or fixed but not observed, or not human justice, this undermines God [Leibniz]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
19325 God is the first reason of things; our experiences are contingent, and contain no necessity [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
19329 The laws of physics are wonderful evidence of an intelligent and free being [Leibniz]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
19437 Prayers are useful, because God foresaw them in his great plan [Leibniz]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
19337 How can an all-good, wise and powerful being allow evil, sin and apparent injustice? [Leibniz]
19345 Being confident of God's goodness, we disregard the apparent local evils in the visible world [Leibniz]