Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'The Logical Form of Action Sentences' and 'On the Introduction of Transfinite Numbers'

expand these ideas     |    start again     |     specify just one area for these texts

11 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
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 / A. Nature of Existence / 5. Reason for Existence
19400 Possibles demand existence, so as many of them as possible must actually exist [Leibniz]
19401 God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]
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]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
19402 The actual universe is the richest composite of what is possible [Leibniz]