Combining Texts

All the ideas for 'works', 'Nature and Utility of Religion' and 'On the Introduction of Transfinite Numbers'

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14 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]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
We don't get a love of 'order' from nature - which is thoroughly chaotic [Mill]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
Belief that an afterlife is required for justice is an admission that this life is very unjust [Mill]
No necessity ties an omnipotent Creator, so he evidently wills human misery [Mill]
Evil comes from good just as often as good comes from evil [Mill]
29. Religion / D. Religious Issues / 3. Problem of Evil / d. Natural Evil
Nature dispenses cruelty with no concern for either mercy or justice [Mill]
Killing is a human crime, but nature kills everyone, and often with great tortures [Mill]
Hurricanes, locusts, floods and blight can starve a million people to death [Mill]
Nature makes childbirth a miserable experience, often leading to the death of the mother [Mill]