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I was seeking into tags until I found these tags:

which states "A puzzle that involves numerical calculations, such as multiplication and addition."

which states: "For puzzles involving addition, subtraction, multiplication, or division."

There is no difference between these two tags (except for wording).

Can the tag (Qx106) be the synonym of (Qx669)?

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    $\begingroup$ And furthermore, what's the difference between Black Thunder and Dark Thunder? $\endgroup$
    – Jafe
    Aug 5 '19 at 10:09
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    $\begingroup$ I don't know about it. Thats a coincidence. I got almost same rep on Stack Overflow as he got here. $\endgroup$
    – Black Thunder
    Aug 5 '19 at 10:10
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    $\begingroup$ @jafe You might wanna see this ;) puzzling.stackexchange.com/questions/86701/… $\endgroup$
    – Black Thunder
    Aug 5 '19 at 10:13
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    $\begingroup$ Hehe, looks like someone beat me to it. $\endgroup$
    – Jafe
    Aug 5 '19 at 10:16
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I have made [arithmetic] be a synonym of [calculation-puzzle]. There was an argument for doing it the other way around, but we had a lot more [calculation-puzzle] puzzles than [arithmetic] ones, and some calculation puzzles aren't strictly about arithmetic. If it's widely felt that "arithmetic" is a better name, there are ways to change the name.

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According to the person who created the calculation-puzzle tag:

When I created the tag, I made it specifically to refer to those problems that involved numerical calculation or arithmetic as part of the solving process. – Joe Z. (source)

The arithmetic tag did not exist back then, it was created later. Seems clearly redundant to me.

"Arithmetic" is probably a clearer name for the tag, though. Maybe make calculation-puzzle a synonym for that?

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    $\begingroup$ I think that the tags could be distinct but unfortunately the tag descriptions are the same :( . Like arithmetic could be a meta version of calculation-puzzle and more to do with the process of processing numbers rather than just processing numbers (although that seems a bit redundant anyway) $\endgroup$
    – Adam
    Aug 6 '19 at 13:49

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