Combining Texts
Ideas for
'Individuals without Sortals', 'Proof of an External World' and 'On the Introduction of Transfinite Numbers'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
7 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 / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
17518
|
Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]
|
17516
|
If counting needs a sortal, what of things which fall under two sortals? [Ayers]
|
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18179
|
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
|
18180
|
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
|
15925
|
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
|