Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Language of Morals' and 'Seven Types of Atheism'

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13 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]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16050 The goodness of a picture supervenes on the picture; duplicates must be equally good [Hare]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
2855 In primary evaluative words like 'ought' prescription is constant but description can vary [Hare, by Hooker,B]
28. God / C. Attitudes to God / 5. Atheism
23061 Free atheism should start by questioning its faith in humanity [Gray]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
23057 Gnosticism has a supreme creator God, giving way to a possibly hostile Demiurge [Gray]
29. Religion / B. Monotheistic Religion / 2. Judaism
23056 Judaism only became monotheistic around 550 BCE [Gray]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
23055 Christians introduced the idea that a religion needs a creed [Gray]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
23058 Buddhism has no divinity or souls, and the aim is to lose the illusion of a self [Gray]