this post was submitted on 15 Aug 2024
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Science Memes

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Maths vs Philosophy (mander.xyz)
submitted 2 months ago by [email protected] to c/[email protected]
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[–] [email protected] 11 points 2 months ago* (last edited 2 months ago) (2 children)

I am really trying to follow this, but I need more coffee I think. I am happy to be educated if it can be explained a little easier or some good reference material.

https://en.m.wikipedia.org/wiki/Saul_Kripke

https://en.m.wikipedia.org/wiki/Topos

[–] [email protected] 7 points 2 months ago (1 children)

I definitely don't get this comic, but I can give us a starting point on the first statement: "moral situations can be described using Kripke Models"-

Kripke Models are based on Modal Logic, which is a way of doing formal logic including definitions of "necessarily" and "possibly". The link between Modal Logic and ethics is Deontic logic, where "necessarily" is taken to mean "obligatory" and "possibly" means "permitted". Sheaves and Topos theory are pure mathematics stuff and "Globo Matho" doesn't mean anything as far as I can tell.

Be sure to let us all know if you find out what this means!

[–] [email protected] 2 points 2 months ago

From what I gathered from the Wikipedia page of Kripke Models, they take the form of something like a graph (nodes and edges). My mediocre knowledge of higher math makes me wave my hands and say something about Category theory also working with graph-like structures and that sheaves and topoi definitely come up there, too.