Combining Texts

All the ideas for 'Lectures on the Philosophy of Right', 'Quine on Quantifying In' and 'Cardinality, Counting and Equinumerosity'

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16 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
12220 Is it the sentence-token or the sentence-type that has a logical form? [Fine,K]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
12222 Substitutional quantification is referential quantification over expressions [Fine,K]
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]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
21785 We are only free, with rights, if we claim our freedom, and there are no natural rights [Hegel, by Houlgate]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
22041 Representatives by region ignores whether they care about the national interest [Hegel, by Pinkard]
25. Social Practice / C. Rights / 1. Basis of Rights
21781 The absolute right is the right to have rights [Hegel]