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::::{{pb}}This is a non-starter. Writing {{math|(''a'', ''b'')}} is only superficially different from writing {{math|''a'' + ''bi''}}, and not having the {{mvar|i}} present makes the multiplication formula, in particular, much more opaque. It's the exact same definition, but with different notation. Just as (if not more) important is that it's notation that's just not really used in practice, either in introductory material, or even in a modern complex analysis text. If you're so focused on a modern definition, the obvious choice is as <math>\mathbb{R}[x]/(x^2 + 1).</math> This can be {{em|briefly}} mentioned early on, but anything more than that is too technical and should be reserved for later in the article.
::::This is a pretty fundamental article, and we should be making it as accessible as possible. This means we shouldn't be expecting someone reading it to be a university student. A good place to aim here is probably someone with at most a reasonable grasp of high school algebra (at least for the beginning of the article; it's okay to get more advanced as we go). We also have to be very careful because education terminology is different around the world, as is when concepts are generally introduced. I, for example, first saw complex numbers in high school algebra, well before I got to college. Maybe that's different elsewhere, but as an encyclopedia, we're really trying to make as much of this understandable to as wide an audience as possible. –[[User:Deacon Vorbis|Deacon Vorbis]] ([[User Talk:Deacon Vorbis|carbon]] • [[Special:Contributions/Deacon Vorbis|videos]]) 14:26, 20 September 2020 (UTC)
:::::I would second what {{u|Deacon Vorbis}} says here. Specifically high school is the correct level for us to be aiming for, and the "{{math|''a'' + ''bi''}} definition" is better for our purposes here than the "(RxR, +, *) definition". And by the way I too was introduced to complex numbers in high school. [[User:Paul August|Paul August]] [[User_talk:Paul August|☎]] 16:05, 20 September 2020 (UTC)
== Worst math article ever ==
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