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Joined 10 months ago
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Cake day: September 9th, 2023

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  • flying_sheep@lemmy.mltoMemes@lemmy.ml6÷2(1+2)
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    4 months ago

    Yeah, and when you read a paper that contains math, you won’t see a declaration about what country’s notation is used for things that aren’t defined. So it’s entirely possible that you don’t know how some piece of notation is supposed to be interpreted immediately.

    Of course if there’s ambiguity like that, only one interpretation is correct and it should be easy to figure out which one, but that’s not guaranteed.



  • flying_sheep@lemmy.mltoMemes@lemmy.ml6÷2(1+2)
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    4 months ago

    Look, this is not the only case where semantics and syntax don’t always map, in the same way e.g.: https://math.stackexchange.com/a/586690

    I’m sure it’s possible that all your textbooks agree, but if you e.g. read a paper written by someone who isn’t from North America (or wherever you’re from) it’s possible they use different semantics for a notation that for you seems to have clear meaning.

    That’s not a controversial take. You need to accept that human communication isn’t as perfectly unambiguous as mathematics (writing math down using notation is a way of communicating)





  • flying_sheep@lemmy.mltoMemes@lemmy.ml6÷2(1+2)
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    4 months ago

    Notation isn’t semantics. Mathematical proofs are working with the semantics. Nobody doubts that those are unambiguous. But notation can be ambiguous. In this case it is: weak juxtaposition vs strong juxtaposition. Read the damn article.



  • flying_sheep@lemmy.mltoMemes@lemmy.ml6÷2(1+2)
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    4 months ago

    Let’s do a little plausibility analysis, shall we? First, we have humans, you know, famously unable to agree on an universal standard for anything. Then we have me, who has written a PhD thesis for which he has read quite some papers about math and computational biology. Then we have an article that talks about the topic at hand, but that you for some unscientific and completely ridiculous reason refuse to read.

    Let me just tell you one last time: you’re wrong, you should know that it’s possible that you’re wrong, and not reading a thing because it could convince you is peak ignorance.

    I’m done here, have a good one, and try not to ruin your students too hard.







  • flying_sheep@lemmy.mltoMemes@lemmy.ml6÷2(1+2)
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    7 months ago

    You probably missed the part where the article talks about university level math, and that strong juxtaposition is common there.

    I also think that many conventions are bad, but once they exist, their badness doesn’t make them stop being used and relied on by a lot of people.

    I don’t have any skin in the game as I never ran into ambiguity. My university professors simply always used fractions, therefore completely getting rid of any possible ambiguity.