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>mathfags invent the idea of sets >mathfags realize that

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>mathfags invent the idea of sets
>mathfags realize that their idea of sets allows for paradoxes
>mathfags adjust their conception of sets, then formalize a consistent set of axioms for them
>mathfags then use "classes" to do the exact same things they did with the naive conception of sets, even though they know that this leads to inconsistencies

How old were you when you realized that math is a fucking joke?
>>
>>7233246
And then based Grothendieck said, "fuck it, every universe is strictly contained by some larger universe. Now shut up and do some real math." I suggest you take the last sentence to heart.
>>
>>7233246
Just so old as your mother was when I banged her first.
>>
It's not just having groups of sets that leads to inconsistencies, it's calling those groups "sets." Changing the name is all that needed to happen

>I don't understand math it's stupid
>>
>>7233246
>mathfags invent the idea of numbers
>mathfags realize the square root of negative numbers doesn't exist
>mathfags then use "imaginary numbers" to do the exact same thing that didn't exist

How old were you when you realized that math is a fucking joke?
>>
>>7233250
>come up with idea
>idea breaks down under examination
>rename idea
>rigorously define something else
>claim old idea has been shown to be consistent when correctly axiomatized
>>
>>7233289
>mathfags invent the idea of triangles
>mathfags realize that squares arent triangles
>mathfags then use "triangulation" to do the exact same thing they couldn't do, even though they know things aren't triangles

How old were you when you realized that math is a fucking joke?
>>
>>7233289
>mathfags invent the idea of decimal numbers
>mathfags realize that some numbers aren't of the form a/b
>mathfags then stop using reason and use "irrational" and "infinite" numbers that don't exist to keep doing what they want to do even though they don't exist

How old were you when you realized that math is a fucking joke?
>>
>>7233289
>mathfags invent the idea of probability
>mathfags realize that some spaces can't be measured
>mathfags adjust their preconception of probability, then formalize a consistent set of axioms for it
>mathfags then use "algebraic closures" to do the exact same things they did with the naive conception of probability, even thought they know that this leads to inconsistencies

How old were you when you realized that math is a fucking joke?
>>
>>7233289
>mathfags invent the idea of the circle
>mathfags realize that the length of the diameter isn't a number they can write
>mathfags adjust their preconception of numbers, then formalize a consistent set of axioms for them
>mathfags then use "irrational numbers" to do the exact same things they did with the naive conception of numbers, even thought they know that this leads to inconsistencies

How old were you when you realized that math is a fucking joke?
>>
>>7233246
>mathfags invent the idea of a norm
>mathfags realize that their idea of norms allows for different measurements which aren't equal
>mathfags adjust their conception of norms, then formalize a consistent set of axioms for them
>mathfags then use "norm equivalence" to do the exact same things they did with the naive conception of norms, even though they know that this leads to inconsistencies
>>
>>7233295
Did you mean rational numbers?
>>
>>7233304

>How old were you when you realized that math is a fucking joke?
>How old were you when you realized that math is a fucking joke?
>How old were you when you realized that math is a fucking joke?
>How old were you when you realized that math is a fucking joke?


How old were you when you realized that math is a fucking joke?
>>
>>7233307
just non-integers
>>
>mathfags come up with certain rules for making deductions
>mathfags realize that these rules don't always depend on eachother
>they invent "formal systems" and "theories" with an axiomatuc basis
>they realize that any sufficiently-powerful formal system will have inconsistencies

How old were you when you realized that math is a fucking joke?
>>
>mathfags invect the idea of sets
>mathfags realize that their idea of sets allows for one to be unable to find an element in the set
>mathfags adjust their conceptions of sets, and introduce an axiom that says they can do what they want to do
>mathfags then use said axiom to choose a random element even if they don't know what the elements are like

How old were you when you realized that math is a fucking joke?
>>
>>7233339
>mathfags invent the idea of excluded middle
>mathfag realize reasoning can exist even when excluding (jk) that law
>mathfags adjust their conception of logic by saying they basically don't care
>mathfags keep excluding the middle even though the middle is just like others kids and want to blend in

How old were you when you realized that math is a fucking joke ?
>>
>mathfags invent "topology" to study systems that are hard to model algebraically
>mathfags formalize topology, forming a concsistent set of axioms
>mathfags realize that toppological spaces are easier to study when you model them algebraically
>mathfags invent algebraic topology to formalize this notion

How old were you when you realized that math is a fucking joke?
>>
>>7233298
kek
>>
>mathfag says knock knock
>mathfag says who's there?
>mathfag says it's me
>mathfags fuck

How old were you when you realized that math is a fucking joke?
>>
This is probably one of the worst threads on sci in a while.
>>
>mathfags invent the idea of 0
>mathfags realize that their idea of 0 allowed for paradoxes
>mathfags come up with limits and indeterminate forms then formalize a consistent set of axioms for them
>mathfags then use "calculus" to answer questions they couldn't without division by 0, even though they know that this leads to inconsistencies.

How old were you when you realized that Isaac Newton was a fucking joke?
>>
>>7233389
>limits are division by 0
>indeterminate forms are dividing by 0

every other implying was good, yours is trash holy shit
>>
>>7233246
Past PDE and complex variables (pencil and paper math), I have to agree with OP. Remember, all of practical math fits into Mary Boas' Math Methods book.

My friend quit his PhD because he realized his thesis subject was ultimately worthless.
>>
>>7233425
People don't study math because they think it is going to be useful or recognized or valuable; it's basically maymay-tier knowledge now that mathematicians do research because it interests them. I only study math because it makes me stupidly happy.
>>
>>7233438

And like much maymay-tier knowledge, that's crap.

Speak for yourself.
>>
>>7233419
"One of Newton's greatest critics was George Berkeley (1685-1753), the dean of the Church of England in Ireland.[7, p.333] He was a vehement and highly competent critic of many aspect's of Newtonian science and sought to show that Newton's universe was constructed on quicksand. [4, p.210] Berkeley's main attack can be found in a publication entitled The Analyst. He hit the method of fluxions in its weak spot - the infinitesimals, which he called "the ghosts of departed quantities."[7, p.333] He said "He who is willing to accept the mysteries of the calculus, which nevertheless lead to true results, need not hesitate to accept the mysteries of religion" [7, p.333 as quoted in The Analyst]."

Of course they aren't division by 0 you dolt, that's the point of a gross oversimplification. Newton was actually criticized over the fact that calculus was effectively based on what looked like division by 0.
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