Combining Texts

All the ideas for 'fragments/reports', 'On the Introduction of Transfinite Numbers' and 'The Logical Form of Action Sentences'

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10 ideas

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
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
7771 We need 'events' to explain adverbs, which are adjectival predicates of events [Davidson, by Lycan]
8860 Language-learning is not good enough evidence for the existence of events [Yablo on Davidson]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
15002 If the best theory of adverbs refers to events, then our ontology should include events [Davidson, by Sider]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]