Combining Texts

All the ideas for 'works', 'Thought: a very short introduction' and 'On the Introduction of Transfinite Numbers'

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13 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
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
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
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
How we evaluate evidence depends on our background beliefs [Bayne]
Clifford's dictum seems to block our beliefs in morality, politics and philosophy [Bayne]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Physicalism correlates brain and mind, explains causation by thought, and makes nature continuous [Bayne]
18. Thought / A. Modes of Thought / 8. Human Thought
Perception reveals what animals think, but humans can disengage thought from perception [Bayne]
Some people centre space on themselves; others centre space on the earth [Bayne]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
The alternative to a language of thought is map-like or diagram-like thought [Bayne]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]