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Results tagged with order-theory
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user 158
12
votes
5
answers
1k
views
Questions about ordering of reals and irrationals
Three problems from G.Rosenstein "Linear orderings" (from the end of Chapter 2 and beginning of Chapter 4):
1) Is there a nondecreasing function from irrationals onto reals?
2) Is there a nondecreas …
- 918
13
votes
2
answers
2k
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Ordinals that are not sets
The class of all ordinal numbers $\mathbf{Ord}$, aside being a proper class, can be thought of an ordinal number (of course it contains all ordinal numbers that are sets, not itself). Then one could c …
- 918