Question

"Subtracting" Ordinals - possible?

score 2.2k · Answer 1 · 2015-06-26 10:23:07

2.2k

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"Subtracting" Ordinals - possible?

Published on 26 Jun 2015 - 10:23

score 208 · Answer 2 · 2015-06-26 16:38:22

208

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Bringing ordinals to standard polynomial form

Published on 26 Jun 2015 - 16:38

score 10.7k · Answer 3 · 2026-03-25 13:52:56

10.7k

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Principle of Transfinite Induction

Published on 25 Mar 2026 - 13:52

score 3.2k · Answer 4 · 2026-03-25 13:57:01

3.2k

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What are the most prominent uses of transfinite induction outside of set theory?

Published on 25 Mar 2026 - 13:57

score 53 · Answer 5 · 2015-06-29 23:46:09

53

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any example of non-zero ordinals $a,b,c$ for which $a < b$, but $a^c \ge b^c$?

Published on 29 Jun 2015 - 23:46

score 91 · Answer 6 · 2015-06-30 09:21:53

91

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How do you multiply this

Published on 30 Jun 2015 - 9:21

score 230 · Answer 7 · 2015-07-01 04:55:02

230

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example of multiplication of ordinals with infinite cardinality with larger value on right where we dont' take the max?

Published on 01 Jul 2015 - 4:55

score 132 · Answer 8 · 2015-07-01 07:01:53

132

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Multiplying two ordinals where one has been raised to power of $\omega$. Term order matters?

Published on 01 Jul 2015 - 7:01

score 267 · Answer 9 · 2015-07-01 20:20:20

267

Views

limit and infinite ordinals: same thing?

Published on 01 Jul 2015 - 20:20

score 722 · Answer 10 · 2015-07-03 17:11:02

722

Views

formal definition of ordinal addition by recursion

Published on 03 Jul 2015 - 17:11

score 192 · Answer 11 · 2015-07-03 22:14:53

192

Views

The ordinals as a free monoid-like entity

Published on 03 Jul 2015 - 22:14

score 1.4k · Answer 12 · 2026-03-27 07:50:35

1.4k

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Cantor-Bendixson rank of a closed countable subset of the reals, and scattered sets

Published on 27 Mar 2026 - 7:50

score 312 · Answer 13 · 2015-07-11 17:01:19

312

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What well-orders are definable over $V$?

Published on 11 Jul 2015 - 17:01

score 436 · Answer 14 · 2015-07-13 19:08:10

436

Views

order of infinite countable ordinal numbers

Published on 13 Jul 2015 - 19:08

score 142 · Answer 15 · 2015-07-20 02:26:12

142

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Proving that $\langle \omega+1, \leq \rangle$ and $\langle \omega + \omega^*, \leq \rangle$ are not elementarily equivalent

Published on 20 Jul 2015 - 2:26

List Question

"Subtracting" Ordinals - possible?

Bringing ordinals to standard polynomial form

Principle of Transfinite Induction

What are the most prominent uses of transfinite induction outside of set theory?

any example of non-zero ordinals $a,b,c$ for which $a < b$, but $a^c \ge b^c$?

How do you multiply this

example of multiplication of ordinals with infinite cardinality with larger value on right where we dont' take the max?

Multiplying two ordinals where one has been raised to power of $\omega$. Term order matters?

limit and infinite ordinals: same thing?

formal definition of ordinal addition by recursion

The ordinals as a free monoid-like entity

Cantor-Bendixson rank of a closed countable subset of the reals, and scattered sets

What well-orders are definable over $V$?

order of infinite countable ordinal numbers

Proving that $\langle \omega+1, \leq \rangle$ and $\langle \omega + \omega^*, \leq \rangle$ are not elementarily equivalent

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