this post was submitted on 12 Dec 2023
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I'd really like to know if and how your view on that matter would change once you read the full post. I know it's very long and a lot of people won't read it because they "already know" the answer but I'm pretty sure it would shift your perception at least a bit if you find the time to read it.
My opinion hasn't changed. The standard order of operations is as well defined as a notational convention can be. It's not necessarily followed strictly in practice, but it's easier to view such examples as normal deviation from the rules instead of an implicit disagreement about the rules themselves. For example, I know how to "properly" capitalize my sentences too, and I intentionally do it "wrong" all the time. To an outsider claiming my capitalization is incorrect, I don't say "I am using a different standard," I just say "Yes, I know, I don't care." This is simpler because it accepts the common knowledge of the "normal" rules and communicates a specific intent to deviate. The alternative is to try to invent a new set of ad hoc rules that justify my side, and explain why these rules are equally valid to the ones we both know and understand.
If it was so well defined, then how did two different sets of rules regarding juxtaposition even come to be?
A well-defined order of operations shouldn't have a hole that big.
Also, @wischi asking you to give the answer as defined by your convention isn't condescending, they're asking you to put your money where your mouth is...
Your response certainly felt condescending though, especially since your "explanation" was essentially that anyone who disagrees with the convention you follow is wrong and should feel stupid, and that you needn't even consider it.
They didn't - neither of them is a rule of Maths.