Mark

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About me... I'm 23, male, not Mark, and I have for some reason, of all things, an interest in set theory.

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7 Questions

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19	Is there a number that's right in the middle of this interval $(0, 1)$?
11	What's the difference between saying that there is no cardinal between $\aleph_0$ and $\aleph_1$ as opposed to saying that…
5	How do you prove the trichotomy law for cardinal numbers?
2	There exists a finite set of natural numbers which isn't a proper subset of any other finite set of natural numbers?
0	How do I prove that an uncountable subset $S$ of $\mathbb{R}$ has the in-between property?

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304 Reputation

+20	What's the difference between saying that there is no cardinal between $\aleph_0$ and $\aleph_1$ as opposed to saying that…
+5	If $\kappa$ is a cardinal, $\aleph$ is any $\aleph$-number, and if $\kappa\leq\aleph$ then $\kappa$ can be well ordered as well.
+5	How do you prove the trichotomy law for cardinal numbers?
+5	Is there a number that's right in the middle of this interval $(0, 1)$?

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2 Answers

votes activity newest

0	Why is $\omega$ the smallest $\infty$?
0	How can one prove that the union of two finite sets is again finite, without the use of arithmetic?

10 Tags

0 cardinals × 5	0 ordinals
0 elementary-set-theory × 4	0 real-analysis
0 set-theory × 3	0 homework
0 analysis × 2	0 infinity
0 axiom-of-choice × 2	0 logic

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$Mathematics Stack Exchange$	Mathematics	304 rep	18
	Stack Overflow	101 rep

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