What about the sign of zero crowd?
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You mean the IEEE 754 standard committee? :D
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i was with you right until division by zero, there *are* some algebras (e.g. the one Coq uses) where division by zero is perfectly defined
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Well, division is just "finding the inverse multiplicative element in the structure we're working in". However, solving 0·x=a for x is ambiguous for non-zero a in anything that's a ring… and most useful structures that have a multiplication operation are rings.
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Actually I am really happy that (finally) 1/0 = 7 (for unsigned bit vector divison of bit vectors with 3 bits in the SMTLIB standard). Took quite some time.
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Oh, I didn't know that. Since when? I always liked that about the BTOR bit vector division semantic. Good to know it's now also in SMTLIB.
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Fun aside - in Algorithmic Information theory, you do want binary strings like 10.111111... and 11.0000... to be different, so a common convention to avoid confusion in Cantor space is to treat all binary reals as irrational. (Photo snapped from my copy of Downey and Hirschfelt)pic.twitter.com/ehO9WDVWUz
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Interesting. Not sure if I'm missing something here, but 11.0000... obviously is rational. Therefore, as far as I understand this, it's not assuming that 10.1111... and 11.0000... are different. Instead, it's assuming that we never encounter such numbers.
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People are debating which operator order is the "right" one, as if that were a serious math question.https://knowyourmeme.com/memes/8222
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