Can someone explain 1/0 in non-axiomatic terms or does it exist solely within the confines of the abstract realm? (lemmy.world)

submitted 11 months ago by cheese_greater@lemmy.world to c/asklemmy@lemmy.ml

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[-] agarorn@feddit.de 7 points 11 months ago

I am surprised that nobody pointed out that there is a mathematical structure where you can divide by zero, the wheel:

https://en.wikipedia.org/wiki/Wheel_theory?wprov=sfla1

[-] cheese_greater@lemmy.world 1 points 11 months ago

Kinda wonder how a sphere of all things can possibly be modelled? I even heard you can like cut a sphere in half and axiomatically retain or conserve the prexisting volume or something to that effect. Like you could tangibly split it in two and conceptually still have >= prexisting volume or something? It seems absurd but I'm sure someone can hand-wave or radically justify exactly that somehow

[-] luthis@lemmy.nz 1 points 11 months ago

There's a veritasium or vsauce video on that.

[-] cheese_greater@lemmy.world 1 points 11 months ago

Can you link to that? I have zero idea how to intelligibly find a result to this inline with what you're suggesting

[-] wandermind@sopuli.xyz 5 points 11 months ago

I believe it is the Vsauce video titled The Banach-Tarski Paradox.

[-] cheese_greater@lemmy.world 3 points 11 months ago

Thank you so much for naming this seemingly crazy conjecture for me. Heard about it so vaguely forever ago and it seemed nuts but nice to finally to more (in)formally get to investigate it

this post was submitted on 23 Oct 2023

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