@MartinSleziak My understanding of Jack's argument is that keeping the duplicate post helps search, as the problem is slightly different. This appears not to be the case, so there is even less reason to keep it around.
@XanderHenderson To be honest, I still don't really understand what you are trying to say and what you meant by "search don't see mathematical structure". In any case, it is past 1 am in my part of the words, I should try to get some sleep.
@MartinSleziak My argument was that search doesn't see the structure, so if one proposes that a particular problem should be kept for searchability, then all similar problems should be kept too (at least, if one wants to be consistent). I was attempting to point out how silly this would be.
On the other hand, as you pointed out, I was wrong.
Since Approach0 sees the structure, the argument against duplication is even stronger---we don't need different versions of the same question to get good results.
Well, in the particular case, it's not clear whether it is really a duplicate. And the chosen duplicate target does not contain equation of the form $x^2+a=b^n$ (where a,b, are some numbers), so it won't be among the search results in Approach0.
Well, as I said, I am not really sure this particular pair of questions should actually a dupe - but there are wiser people than me who can judge this.
As I have posted an answer there, I probably shouldn't vote to close as duplicate. (I should have searched a bit more before answering.)
I should explicitly say that I have no problem if my answer is deleted - especially if the post is indeed closed as a duplicate (which seems very likely). But at least for some time (and also until the question is actually closed), I will leave it undeleted.
@XanderHenderson @user21820 From our CoC "Be inclusive and respectful. Avoid sarcasm and be careful with jokes". I think it very important that high rep and active users promote these values among the community "that is rooted in kindness, collaboration, and mutual respect".
@XanderHenderson Yes there is, notably to invite you to not take part in such kind of not proper actions but flagging them when needed. I'm not checking all the thread but often here on CRUDE I read clear vilations of our CoC. That's not good. It should be avoided. All of us must remember that.
@user21820 We don't need cheaters nor judges here on MSE. We only need to follow some basic common rules even with different points of views. Nothing personal with you pinged, I'm just inviting all the users of this and others chat rooms to self regulate ourself, I'm not flagging indeed. Thanks
@XanderHenderson Sorry if I gave that impression, it was not my intention. I've also pinged you only because you were involved in the sarcastic thread. My aim was only to invite any users to follow as much as possible the principles of our CoC.
@user Since you did not answer my question (do you respect cheaters?), please stop pinging me henceforth. Also, please change your username so that other users whose username starts with "user" do not get pinged by every message that goes to you. It is annoying and one might even suspect you did it on purpose.
I do not want to veer away from topic in the room - which is why I mentioned it elsewhere and we can continue there chat.stackexchange.com/transcript/64952/2019/12/1 - but my impression from what I read on Meta Stack Exchange was that this does not happen if somebody uses an exact username.
@BillDubuque Before the linked dupe is edited to be located more easily, your deletion is making this site rather inconvenient. If someone is going to need to ask the same question about $x^2+35=7^n$ tomorrow, I have no idea how he or she would need to search in order to identify the abstract dupe you suggest.
user12692
@BillDubuque whether 99.99% of askers never search is not relevant, since in this case, I fail to see a way of searching that would lead to the dupe. If* there is no way of searching that can lead to the dupe, then I don't think it a dupe at all.
@Jack There are tons of questions depending on parameters (modular inverses, bezout identities, etc) that we close as abstract dupes. Having a huge number of special cases with a huge number of dupe answers greatly complicates organizing and assessing the answers and guiding students to the most insightful answers. The point about searching is moot point because 99.99% of askers never search. Rather, we end up searching (for dupes), and that is complicated when the dupes aren't deleted.