Combining Texts

All the ideas for 'Commentary on 'De Anima'', 'On the Introduction of Transfinite Numbers' and 'works'

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


8 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
The claim of hermeneutics to give knowledge through understanding is challenged by positivism [Mautner on Dilthey]
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]
14. Science / D. Explanation / 1. Explanation / d. Explaining people
Natural science seeks explanation; human sciences seek understanding [Dilthey, by Mautner]
22. Metaethics / B. Value / 2. Values / e. Death
The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus]