Combining Texts

All the ideas for 'fragments/reports', 'Cardinality, Counting and Equinumerosity' and 'Intro to 'Communitarianism and Individualism''

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17 ideas

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]
17456 Counting is the assignment of successively larger cardinal numbers to collections [Heck]
17455 Is counting basically mindless, and independent of the cardinality involved? [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]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
467 A virtue is a combination of intelligence, strength and luck [Ion]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
22808 Liberalism is minimal government, or individual rights, or equality [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
22803 Can individualist theories justify an obligation to fight in a war? [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
22804 Autonomy is better achieved within a community [Avineri/De-Shalit]
22806 Communitarians avoid oppression for the common good, by means of small mediating communities [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
22807 If our values are given to us by society then we have no grounds to criticise them [Avineri/De-Shalit]