Combining Texts

All the ideas for 'works', 'On the Introduction of Transfinite Numbers' and 'Daniel Dennett on himself'

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12 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]
17. Mind and Body / B. Behaviourism / 3. Intentional Stance
3986 The 'intentional stance' is a way of interpreting an entity by assuming it is rational and self-aware [Dennett]
18. Thought / A. Modes of Thought / 4. Folk Psychology
3987 Like the 'centre of gravity', desires and beliefs are abstract concepts with no actual existence [Dennett]
18. Thought / C. Content / 9. Conceptual Role Semantics
3984 The nature of content is entirely based on its functional role [Dennett]
25. Social Practice / E. Policies / 5. Education / b. Education principles
3983 Learning is evolution in the brain [Dennett]
27. Natural Reality / G. Biology / 1. Biology
3985 Biology is a type of engineering, not a search for laws of nature [Dennett]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
16713 Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
6610 I believe because it is absurd [Tertullian]