Combining Texts

All the ideas for 'God and Human Attributes', 'On the Introduction of Transfinite Numbers' and 'Computing Machinery and Intelligence'

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8 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]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / b. Turing Machines
The Turing Machine is the best idea yet about how the mind works [Fodor on Turing]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / c. Turing Test
In 50 years computers will successfully imitate humans with a 70% success rate [Turing]
28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument
God must be fit for worship, but worship abandons morally autonomy, but there is no God [Rachels, by Davies,B]