Combining Texts

All the ideas for 'fragments/reports', 'The Sovereignty of Good' and 'Philosophy of Mathematics'

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25 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 / 5. Conceptions of Set / d. Naïve logical sets
23445 Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
23447 In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
23443 The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
23444 To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
23446 You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
23448 Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
23441 Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
23442 Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
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]
25. Social Practice / E. Policies / 5. Education / b. Education principles
13304 Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
20820 Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
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]