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All the ideas for '', 'Cardinality, Counting and Equinumerosity' and 'Virtues and Vices'

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23 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
22396 We take courage, temperance, wisdom and justice as moral, but Aristotle takes wisdom as intellectual [Foot]
1. Philosophy / A. Wisdom / 2. Wise People
22397 Wisdom is open to all, and not just to the clever or well trained [Foot]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
11211 If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
11210 Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
11212 The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
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]
19. Language / F. Communication / 3. Denial
11214 We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
22402 Most people think virtues can be displayed in bad actions [Foot]
23145 Virtues are intended to correct design flaws in human beings [Foot, by Driver]
22401 Actions can be in accordance with virtue, but without actually being virtuous [Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / b. Basis of virtue
22398 Virtues are corrective, to resist temptation or strengthen motivation [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
22403 Temperance is not a virtue if it results from timidity or excessive puritanism [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
22400 Courage overcomes the fears which should be overcome, and doesn't overvalue personal safety [Foot]