Math Memes

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Memes related to mathematics.

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the linux file system satisfies the zf axioms (lemmy.world)

submitted 4 days ago by siriusmart@lemmy.world to c/mathmemes@lemmy.blahaj.zone

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[–] ns1@feddit.uk 15 points 4 days ago (2 children)

The one that's most obviously wrong is no. 4, which I think is meant to be the axiom of infinity, as this would imply every filesystem has a folder with an unlimited number of files. Probably several others have issues as well.

But maybe you can get around it if you imagine an idealised infinite linux filesystem rather than an actual real example!

[–] siriusmart@lemmy.world 2 points 2 days ago (1 children)

oh 8 is the axiom of infinity, 4 is the pair set axiom

[–] ns1@feddit.uk 1 points 12 hours ago

Ah that makes sense thanks. It's cool how symlinks can give a kind of infinity.

Is this OC? I didn't realise at first, it's a fun idea well researched.

[–] bleistift2@sopuli.xyz 5 points 4 days ago (1 children)

5 is bogus, too. You can’t create a folder by copying files into a[n already existing?] directory.

[–] siriusmart@lemmy.world 2 points 2 days ago (1 children)

i was trying to say this command

mkdir union
cp -rf A/* union
cp -rf B/* union

would create the union folder

[–] bleistift2@sopuli.xyz 1 points 1 day ago

Oh. Your original 5th axiom didn’t mention unions.