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by throwawaymath
2877 days ago
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Bravo, that's a great explanation. I think you've done a better job here than my comments elsewhere in this thread. Nice tie in to dimensionality, the complexes and quaternions too. There are legitimate reasons to advocate for defining division by 0 in the context of a programming language. But the attempt at mathematical rigor really distracts from those reasons. It feels like the author made a decision and reached for some odd mathematics that seems to support it but doesn't. Floating numbers don't even form a field. If we define division by 0 in a field it stops being a field and becomes a ring or some sort of weird finite field with a single element... |
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