Comment on near zero

• agamemnonymous@sh.itjust.works ⁨5⁩ ⁨months⁩ ago

  When taking about limits, you can approach 0 from the positive or negative direction, which can give very different results. For example, lim cotx, x->0+ = ∞ while lim cotx, x->0- = -∞

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  • Leate_Wonceslace@lemmy.dbzer0.com ⁨5⁩ ⁨months⁩ ago

    Speaking as a mathematician, it’s not really accurate to call that -0.

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    • agamemnonymous@sh.itjust.works ⁨5⁩ ⁨months⁩ ago

      Yes, but it is infinitesimally close.

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    • Gladaed@feddit.de ⁨5⁩ ⁨months⁩ ago

      You also can’t call something infinity. People call stuff names. It is just important that they define their terms well enough.

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      • Leate_Wonceslace@lemmy.dbzer0.com ⁨5⁩ ⁨months⁩ ago

        You also can’t call something infinity

        Why do you think that?

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• barsoap@lemm.ee ⁨5⁩ ⁨months⁩ ago

  IEEE 754

  I mean it’s an algebra, isn’t it? And it definitely was mathematicians who came up with the thing. In the same way that artists didn’t come up with the CGI colour palette.

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• Gladaed@feddit.de ⁨5⁩ ⁨months⁩ ago

  Math is more than just the set of all algebras.

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  • Leate_Wonceslace@lemmy.dbzer0.com ⁨5⁩ ⁨months⁩ ago

    I’m aware. Algebra is what I’m most interested in, and so when someone says “0” I think “additive identity of a ring” unless context makes the use obvious.

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    • barsoap@lemm.ee ⁨5⁩ ⁨months⁩ ago

      Depends, I’d say. Is your set theory incomplete or inconsistent?

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