How can math be real if Russell's paradox is real?

t. Naive set theorist stuck in the 19th century

>>8550678
Mathfags BTFO

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>>8550678
Look at this confident and smug mug, yet friendly. You can tell how intelligent he is. You can tell that this person had very deep thoughts.

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>>8550740
I wish I had been born Bertrand Russell

Although, he is dead and I'm still alive

I wish I had been born Bertrand Russell -or equivalent- in a time when immortality was already a thing

ZFC

>>8550678
cuz Godel happened, so now we know that any logically consistent stuff we make will have some shit like.

>>8550808
If we try to create a better basis for math that isn't set theory we would end up with the same problems.

bump :^)

>>8550771
then you'd be a cuck.

bertrand russell let his wife fuck other men

>>8550771
what the fuck is up with this image

it doesn't look real

>>8553100
it's called camera flash

>>8553100
camera flash during daytime

>>8553107
>>8553109
But why the fuck is the room so clean

where's all the furniture

why is the dad asleep

why are the kids watching a porno with their dad asleep

i don't understand

>>8550678

Solution: a new axiom: there is no set which contains itself.

>>8553115
Dude, you'd watch porno when your dad is awake and right there? Sick man...

>>8553118
A better solution is just to assume the axioms of ZFC.

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>>8553120
Kek. One time, when I was like 13 or some shit, my dad was on the couch watching TV and I was sitting nearby on a laptop watching porn, thinking I was being sneaky.

I came. My dad probably noticed, but I will never know.

>>8550678
Math isn't real you idiot.

>>8553213
You cum no hands or what?

>>8550740
You can also tell he cucked the fuck out of T.S. Eliot.

>>8553225
I was under a blanket, meng. :o)

>>8553248
Damn, I never perfected the technique of jerkin it under a blanket without jiggling it.

Funnily enough, when my dad was reading my a bedtime story as a kid once, I decided to start jerking it very obviously and my dad asked "what are you doing under there?" and I stopped immediately and said "nothing" and then he finished the story. Must have been a pretty wtf moment for him.

>>8550678
>S is the set whose elements are all possible sets.
>x in T is a set, but a set of elements that aren't sets
>ie T=set of all sets that have elements that aren't sets
If T belongs to T how does it follow it doesn't belong to T?

>>8550678
The contradiction is assuming S or T are sets, clearly.

>>8550678
S is not a set. It is impossible to construct in ZFC.

>>8553491
because the elements of the ill-defined T don't contain themselves

how can a set contain itself? can a box have itself inside itself? of course not. what a stupid paradox.

>>8550678

Why can't we use NBG set theory and say "the class of all classes"? Serious question

>>8550778

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Is there another set apart from this that doesn't exist in ZFC???

>>8553557
A class is defined to contain sets.

It's like going to the supermarket and searching for a toothpaste tube full of mustard (or more to the point, a toothpaste tube full of mustard tubes)

>>8554297
That's an ill-posed question, in as far as ZFC determines what "set" means in the first place and so the syntactic expression "{x | x not in x}" doesn't have a semantical counterpart, i.e. this doesn't define a set.
So when you say
>Is there another set apart from this
the answer is that it isn't a set.

Now there is a way to reframe your question: You can take another set theory where such a thing is a set and observe you can't map it (together with the rest of the sets into the theory) isomorphically into ZFC theory.
From this standpoint: Yes, there are an infinitude of sets (as defined by other set theories) that don't fiti into the ZFC framework.
E.g. you may consider set theories that reject well-foundedness
https://en.wikipedia.org/wiki/Non-well-founded_set_theory
where e.g. the singleton set that contains itself (x := {x}) makes sense.

>>8550678
This isn't a problem, that just proves that T doesn't exists.

> Let S be a real such as x > 0 and x < 0.
> omg how can math exists ?

>>8550678
You throw out the assumptions that cause said paradox. Done.

>>8550808
Gödel's discoveries don't really have much to do with Russel's paradox, though. They just statet that you can't show the logical consistency of systems like ZFC within themselves.

>>8550771
>>8550771
>>8550771
>>8550771
WHY THE FUCK IS THE IMAGE NAMED CHRIS MAGGIO?? THATS THE NAME OF ONE OF MY PROFESSORS BEFORE I MOVED, WHAT IN THE LITERAL FUCK WHOSE IMAGE IS THAT??

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>naive set theory

OP BTFO!

>>8555080
D-does the guy sleeping look like the professor?

>>8555119
YES

>>8554502
No, your example is precisely the empty set, a set which exists.
T, however, is obviously non-empty since every standard example of a set is in T.
Retard

>>8553115
it was the 90s, people didnt have shit all over their fucking room for no reason.

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>>8550678
Mythmatics is nothing but wishful thinking at this point. The number of paradoxes and incoherent definitions are astounding. The only people who study it are excessively servile. They simply can't question what they are told. Useful, but uninspiring people.

If this is "all in our mind (spirit, soul)," then no paradoxes exist. Matrix, presentation, whatever

I'm not stupid enough to say either way with certainty: However, it "seems to me," based on the given data I "seem to remember learning," this is likely the case.

Stuck in a top-level shared dream with a bunch of fake, shallow, shiny, plastic, inadequate, insecure psychopaths. Damn.

Paradox doesn't real.
Paradox are literally just linguistic games played by people who think they are smart but don't realize that language is made up concept by different people simultaneously so susceptible to flaws that are known as paradox.

Is it possible to have a mathematical theory with a universal set (or class etc.) that is practical and connects to modern mathematical thinking?

Reality is one, so naturally we should have some mathematical structure to model it. (Anyone who is familiar with the CTMU will recognize this line of thought.) There is New Foundations (and NFU) but it is not so good for doing category theory. What is the solution bros?

>>8555526
a hierarchy of type universes

>>8555530
That's exactly not what I'm looking for though. The infinite sequence of universes are all a part of reality themselves, but where is the structure that models reality as a whole? It has to contain everything.

>>8553115
Considering the TV is on a chair, they probably just moved in (or are moving out)

Dad's been doing most of the work so he's resting, Mom put something on for the kids to distract the kids cause they're bored (it looks more like an old movie than a porno)

>>8555608
pretty sure that's a table

>>8550678
How does that make sense, it says that 'this is a set whose elements are all possible sets' however in the definition of T is states that x isn't a set of its self, therefore T isn't a set whose elements are all possible sets. :s

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>>8553213
>Kek. One time, when I was like 13 or some shit, my dad was on the couch watching TV and I was sitting nearby on a laptop watching porn, thinking I was being sneaky.
Lel me too. I was watching tv under a blanket with my mum in the same room and I fapped until I came.

i know this isnt /tv/, but how is it no one knows basic instinct ?

>>8553120
It's Basic Instinct you twat.

>>8556119
>>8556517
>HOW COULD YOU POSSIBLY NOT KNOW ABOUT <piece of Jewish entertainment>, GOY?????????

>>8550771
>>8550740

Why tho?
He was a leftist cuck and a pseudo intellectual, a literal example of someone who was probably pretty intelligent and got famous but never really contributed anything really outstanding.

Famous for "this statement is false lol xDDD" set theory edition and "at this moment I am euphoric. not because of some phony god's blessing but because of my own enlightenment"

>>8555438
the plural of paradox is "paradoxes";

>>8557606
Actually it's paradoxen

>>8557581
/pol/ please, stop pretending to know what you're talking about

>>8556529
>>8557581
You have to go back

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>>8557581