What is the commonly accepted idea/principle/axiom, that if proved false...

what is the commonly accepted idea/principle/axiom, that if proved false, would single-handedly revolutionarize the most science/maths ?

Theory of relativity, we'll overcome the Judenphysik once and for all
/thread

P not equal to NP

theory of intelligent design

[math]1+1=2[/math]

Time travel in the past.

First Law of Thermodynamics

A=A

that wont change anything. now if P is equal to NP, that will change everything

AoC is a pretty obvious one, if somebody found a problem with that it would break large chunks of virtually every section of modern mathematics

>Judenphysik

Yeah, the problem is OP said "proved wrong". I don't even know what it would even mean to prove the axiom of choice wrong.
I'll say Navier Stokes equations.

associativity? it's everywhere

No it won't. Uneducated CS majors belong in

Please elaborate. People with no sources belong in

Show it leads to an awful paradox like the Axiom Schema of Comprehension leads to Russel's Paradox.

It already leads to the Banach-Tarski paradox but it seems that's not nasty enough for most mathematicians to care. I'm sure there are many more examples.

The whole cryptography as a field would cease to exizts
The major complexity results of the last twenty years start as "unless the polynomial hierachie collapses"

this

>The whole cryptography as a field would cease to exizts

No, dumb ass. A Θ(N^6) SAT solver would still be worthless for most things.

This is what I was gonna post

Dumb popsci faggot, go back to /pol/

OP is a faggot

Retard alert

>A=A
this is the correct answer

x/0 = b

>/threading your own post
How gauche

Like what?
We'd had to throw away some non-constructive aspects of functional analysis. That would have no consequences at all, except for those theorems not being of interest anymore, to the few pure mathematicians it was interesting before.
Any count arguments?

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