Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Philosophical Theology' and 'fragments/reports'

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12 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction
12268 Contradiction is impossible [Antisthenes (I), by Aristotle]
2. Reason / D. Definition / 13. Against Definition
602 Some fools think you cannot define anything, but only say what it is like [Antisthenes (I), by Aristotle]
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]
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
1664 I would rather go mad than experience pleasure [Antisthenes (I)]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
21385 Antisthenes said virtue is teachable and permanent, is life's goal, and is like universal wealth [Antisthenes (I), by Long]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
1451 Design is seen in the way ideas match the world, in the mechanisms of evolution, and in values [Tennant,FR, by PG]
28. God / C. Attitudes to God / 2. Pantheism
2631 Antisthenes says there is only one god, which is nature [Antisthenes (I), by Cicero]