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4:56 AM
I suppose tag did not exist when the question was posted.
Since you have added the tag and you care about tagging of set-theory-related questions a lot, I thought it might be polite to let you know.
I would maybe keep both, but there is 5 tags limit.
17
Q: What are the most prominent uses of transfinite induction outside of set theory?

Michael HardyWhat are the most prominent uses of transfinite induction in fields of mathematics other than set theory? (Was it used in Cantor's investigations of trigonometric series?)

 
 
3 hours later…
7:58 AM
The tag was created in August 2015 by David C. Ullrich.
When I try SEDE to check the oldest occurrences of , it seems that it was created by Yuval Filmus in 2011: data.stackexchange.com/math/query/542457/… data.stackexchange.com/math/query/787716/…
Or maybe we could wait a bit before considering changes to these tags - until David C. Ullrich gets the taxonomist badge :-) Only 4 questions to go.
@DavidC.Ullrich Since you are the creator of the (transfinite-induction) tag, I though it might be polite that I have started a discussion on meta related to this tag. — Martin Sleziak 2 mins ago
@YuvalFilmus Since you are the creator of the (transfinite-recursion) tag, I though it might be polite that I have started a discussion on meta related to this tag. — Martin Sleziak 32 secs ago
 
0
Q: On the tags (transfinite-induction) and (transfinite-recursion)

Martin SleziakAt the moment we have two tags transfinite-induction and transfinite-recursion. These topics are rather close. I can imagine a reasonable question which could be tagged with the tags transfinite-induction, transfinite-recursion, ordinals, elementary-set-theory. Having only five spots for tags, t...

 
 
5 hours later…
12:51 PM
Sep 3 '17 at 12:43, by Martin Sleziak
@Martin It's been the practice for years. I do not participate in chat, and try to avoid commenting in meta unless essential. Thank you. — Andrés E. Caicedo 12 secs ago
So it seems that I provoked a rare exception. :-)
Induction and recursion are different things, even if there are some (formal) similarities. Mixing them up tagwise will only help confuse those that are not clear on the distiction. — Andrés E. Caicedo 10 mins ago
 
1:41 PM
Both of them found as the first post with this tag - David C. Ullrich's the same one that I have mentioned here.
8
Q: Lebesgue Premeasure via Transfinite Induction

David C. UllrichIf $I=[a,b)$ we write $|I|=b-a$ for the length of $I$. Given a theorem of Caratheodory, the tricky part in showing the existence of Lebesgue measure is this: Lemma If $[0,1)$ is the disjoint union of a countable collection $(I_j)$ of half-open intervals then $\sum_j|I_j|=1$. It's easy to conclu...

@DavidC.Ullrich Since you are the creator of the (transfinite-induction) tag, I though it might be polite that I have started a discussion on meta related to this tag. — Martin Sleziak 6 hours ago
@MartinSleziak I am? Don't recall creating that tag... — David C. Ullrich 7 mins ago
@DavidC.Ullrich As far as I can tell, this was the first question having this tag, more details can be found here. (Maybe we will see in a while whether you get taxonomist badge when the tag gets 50th question - that would be a confirmation.) In any case, the main point was that the tag-creator might be interested in discussion about the tag, which is why I posted the above comment. — Martin Sleziak 30 secs ago
In case it is interesting in connection with the above exchange: Can you tell who created a tag
7
Q: Can you tell who created a tag

suomynonAI recently created a tag, will anywhere show that it was created by me? Same with other tags, can I see who created them?

 
2:18 PM
@MartinSleziak Oh, I wasn't disputing the idea that I created the tag, just don't recall. That was years ago, before I had any idea that things are sometimes controversial around here... — David C. Ullrich 2 mins ago
0
A: On the tags (transfinite-induction) and (transfinite-recursion)

David C. UllrichFor the record, it won't bother me regardless of what's done about this. I don't like the idea of making one a synonym for the other. It bugs me when people talk about "inductive" definitions - people don't talk about "recursive" proofs, but if they did that would bug me too. Structuring our ta...

 

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