Combining Texts

All the ideas for 'The Definition of Good', 'On Carnap's Views on Ontology' and 'On the Introduction of Transfinite Numbers'

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10 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
22153 Quine rejects Carnap's view that science and philosophy are distinct [Quine, by Boulter]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
19485 Names have no ontological commitment, because we can deny that they name anything [Quine]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
19486 We can use quantification for commitment to unnameable things like the real numbers [Quine]
19. Language / E. Analyticity / 3. Analytic and Synthetic
19487 Without the analytic/synthetic distinction, Carnap's ontology/empirical distinction collapses [Quine]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
18671 The ground for an attitude is not a thing's 'goodness', but its concrete characteristics [Ewing]