"The field definition does *not* include division. This means we are free to define division however we want" is one of the stupider things I've read todayhttps://www.hillelwayne.com/post/divide-by-zero/ …
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I'm disappointed, you're usually one of the first to jump headfirst into these sorts of shenanigans not to mention you're totally missing the point??
Division is multiplication by the multiplicative inverse. There is nothing else that it can be. To pretend that there's wiggle room/ambiguity here is unhelpful shading to ludicrous
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math is about formal systems. the post cites at least two other variants that do something else useful with division by 0. it makes the case for why 1/0=0 is useful in some scenarios. why the mockery?
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In a field, division is multiplication by the multiplicative inverse. You can redefine "division" to mean something else if you like but you're probably either no longer working in a field or no longer speaking conventional mathematical English
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