Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision Next revision Both sides next revision | ||
ordinal_number [2013/09/05 02:00] nikolaj |
ordinal_number [2014/12/05 11:04] nikolaj |
||
---|---|---|---|
Line 1: | Line 1: | ||
===== Ordinal number ===== | ===== Ordinal number ===== | ||
- | ==== Definition ==== | + | ==== Set ==== |
- | | @#FFBB00: $\alpha\in \mathrm{Ord}$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\alpha\in \mathrm{Ord}$ | |
- | + | | inclusion | $\alpha$...transitive | | |
- | | @#88DDEE: $\alpha$...transitive | | + | |
| $\beta,\gamma\in\alpha$ | | | $\beta,\gamma\in\alpha$ | | ||
- | + | | @#55EE55: postulate | @#55EE55: $ (\beta\in\gamma)\ \lor\ (\gamma\in\beta)\ \lor\ (\beta=\gamma) $ | | |
- | | @#55EE55: $ (\beta\in\gamma)\ \lor\ (\gamma\in\beta)\ \lor\ (\beta=\gamma) $ | | + | |
==== Discussion ==== | ==== Discussion ==== | ||
Line 17: | Line 14: | ||
For any two ordinals $\in$ gives an ordering $<$ via | For any two ordinals $\in$ gives an ordering $<$ via | ||
- | | @#EEEE55: $\beta<\gamma\equiv \beta\in\gamma$ | | + | | @#EEEE55: predicate | @#EEEE55: $\beta<\gamma\equiv \beta\in\gamma$ | |
=== Reference === | === Reference === | ||
Wikipedia: [[http://en.wikipedia.org/wiki/Ordinal_number|Ordinal number]] | Wikipedia: [[http://en.wikipedia.org/wiki/Ordinal_number|Ordinal number]] | ||
- | ==== Context ==== | + | ==== Parents ==== |
- | === Parents === | + | === Requirements === |
[[Trichotomous relation]] | [[Trichotomous relation]] |