Combining Texts
Ideas for
'On What Grounds What', 'On the Introduction of Transfinite Numbers' and 'reports'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
6 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
18180
|
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
|
18179
|
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
|
15925
|
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
|
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
13741
|
If 'there are red roses' implies 'there are roses', then 'there are prime numbers' implies 'there are numbers' [Schaffer,J]
|