Combining Texts

All the ideas for 'Physiologia', 'Cardinality, Counting and Equinumerosity' and 'The Sovereignty of Good'

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27 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]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
17453 The meaning of a number isn't just the numerals leading up to it [Heck]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / f. Cardinal numbers
17457 A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17448 In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck]
17455 Is counting basically mindless, and independent of the cardinality involved? [Heck]
17456 Counting is the assignment of successively larger cardinal numbers to collections [Heck]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
17450 Understanding 'just as many' needn't involve grasping one-one correspondence [Heck]
17451 We can know 'just as many' without the concepts of equinumerosity or numbers [Heck]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17459 Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17454 Children can use numbers, without a concept of them as countable objects [Heck]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
17458 Equinumerosity is not the same concept as one-one correspondence [Heck]
17449 We can understand cardinality without the idea of one-one correspondence [Heck]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
16674 The quantity is just the matter, in that it has extended parts and is diffuse [Charleton]
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]