Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'On the Introduction of Transfinite Numbers' and 'The Varieties of Reference'

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11 ideas

5. Theory of Logic / G. Quantification / 6. Plural Quantification
14235 Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]
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]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
12580 Experiences have no conceptual content [Evans, by Greco]
7643 We have far fewer colour concepts than we have discriminations of colour [Evans]
18. Thought / C. Content / 1. Content
23794 Some representational states, like perception, may be nonconceptual [Evans, by Schulte]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
16366 The Generality Constraint says if you can think a predicate you can apply it to anything [Evans]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
12575 Concepts have a 'Generality Constraint', that we must know how predicates apply to them [Evans, by Peacocke]