Post AXCF9napsYaDUbCVbU by a1ba@suya.place
(DIR) More posts by a1ba@suya.place
(DIR) Post #AXCF9mTi1ZHw2CrIrA by mildsunrise@tech.lgbt
2023-06-29T21:26:43Z
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never, i repeat, never, ask a mathematician what a number is
(DIR) Post #AXCF9napsYaDUbCVbU by a1ba@suya.place
2023-06-29T21:48:27.604691Z
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@mildsunrise ok should ask them why I can't divide by zero and why I can calculate lim x->0 1/x instead
(DIR) Post #AXCFuHYgnhIfkWMUNc by mildsunrise@tech.lgbt
2023-06-29T21:51:44Z
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@a1ba I'm afraid that'll only make things worse
(DIR) Post #AXCFuIEAJUTdp9lc1o by a1ba@suya.place
2023-06-29T21:56:06.786932Z
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@mildsunrise I'm ready to listen
(DIR) Post #AXDzTlcPihUsD4MHU8 by mildsunrise@tech.lgbt
2023-06-30T13:24:00Z
1 likes, 1 repeats
@a1ba it depends heavily on context, but "number system" usually means "field".you start by finding a pair of binary operations over a common set. they must "behave well" (be associative) and the 2nd needs to distribute over the 1st.the 2 operations are usually called "addition" (denoted +) and "multiplication" (denoted ×) respectively.if this is the case, then the identity element of addition (usually denoted "0") is an *absorbing element* of multiplication. that is, any value applied to this element returns it (a × 0 = 0 × a = 0).absorbing elements can't be inverted (by definition, because they "swallow" all information).but in order to call it a "number system", precisely everything else MUST be invertible (this is why we don't call matrices "numbers", because some can't be inverted)
(DIR) Post #AXDzTnbQLLtSMZuWDg by mildsunrise@tech.lgbt
2023-06-30T13:25:32Z
1 likes, 1 repeats
@a1ba (also sorry if you already knew this and/or you weren't actually expecting a response, me be autistic 😅)
(DIR) Post #AXDzbJcxfs0piIDKJU by a1ba@suya.place
2023-06-30T18:03:35.285011Z
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@mildsunrise :blobfoxpat: