Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Sovereignty of Good' and 'The Theory of Logical Types'

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26 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
22338 An unexamined life can be virtuous [Murdoch]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
22337 Philosophy must keep returning to the beginning [Murdoch]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
23563 Philosophy moves continually between elaborate theories and the obvious facts [Murdoch]
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 / E. Structures of Logic / 5. Functions in Logic
21566 'Propositional functions' are ambiguous until the variable is given a value [Russell]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
21567 'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
23457 Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
21556 Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
21568 A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
22341 Literature is the most important aspect of culture, because it teaches understanding of living [Murdoch]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
22347 Appreciating beauty in art or nature opens up the good life, by restricting selfishness [Murdoch]
22. Metaethics / B. Value / 2. Values / g. Love
22339 Love is a central concept in morals [Murdoch]
22348 Ordinary human love is good evidence of transcendent goodness [Murdoch]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
22343 If I attend properly I will have no choices [Murdoch]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
22349 Art trains us in the love of virtue [Murdoch]
22340 It is hard to learn goodness from others, because their virtues are part of their personal history [Murdoch]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
22350 Only trivial virtues can be possessed on their own [Murdoch]
22346 Moral reflection and experience gradually reveals unity in the moral world [Murdoch]
23. Ethics / F. Existentialism / 7. Existential Action
22342 Kantian existentialists care greatly for reasons for action, whereas Surrealists care nothing [Murdoch]
22351 Only a philosopher might think choices create values [Murdoch]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
22345 Moral philosophy needs a central concept with all the traditional attributes of God [Murdoch]