this post was submitted on 25 Feb 2024
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Science Memes

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Biology OP (mander.xyz)
submitted 6 months ago* (last edited 6 months ago) by fossilesque@mander.xyz to c/science_memes@mander.xyz
 
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[–] hydroptic@sopuli.xyz 0 points 6 months ago* (last edited 6 months ago) (1 children)

And mathematicians divide by multiplying!

In formal definitions of arithmetics, division can be defined via multiplication: as a simplified example with real numbers, because a ÷ 2 is the same as a × 0.5, this means that if your axioms support multiplication you'll get division out of them for free (and this'll work for integers too, the definition is just a bit more involved.)

Mathematicians also subtract by adding, with the same logic as with division.

[–] bort@feddit.de 0 points 6 months ago

if your axioms support multiplication you’ll get division out of them for free

this is true... except when it isn't.

In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist

https://en.wikipedia.org/wiki/Ring_(mathematics)

[–] Omega_Haxors@lemmy.ml 0 points 6 months ago* (last edited 6 months ago) (1 children)

Computers multiply by adding, subtract by adding, i'm not sure how division goes but i'm sure that's addition too.

[–] Omega_Haxors@lemmy.ml 0 points 6 months ago (1 children)

Looked into it. It literally is.

[–] SturgiesYrFase@lemmy.ml 0 points 6 months ago (1 children)
[–] Johanno@feddit.de 0 points 6 months ago

Once you go down to logic gates. A XOR gate for example makes 1+1 = 0