/sci/ - Science & Math » Thread #13267316

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Anonymous Fri 11 Jun 22:04:15 2021 No.13267316 View Reply Original Report

Quoted By: >>13267326 >>13267331 >>13267347 >>13267419

There is absolutely no argument against naive set theory.

Any attempt to define a "collection which is not a set" is made up bullshit that boils down to semantical nonsense.

Anonymous

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Anonymous Fri 11 Jun 2021 22:09:42 No.13267326 Report

Quoted By:

>>13267316
>There is absolutely no argument against naive set theory.
It's gay.

Anonymous

Anonymous Fri 11 Jun 2021 22:10:46 No.13267331 Report

Quoted By: >>13267361 >>13267800 >>13269060 >>13269090

>>13267316
What's your solution to rustles paradox?

Anonymous

Anonymous Fri 11 Jun 2021 22:17:20 No.13267347 Report

Quoted By:

>>13267316
This image looks like something I'd think of right before falling asleep

Anonymous

Anonymous Fri 11 Jun 2021 22:21:00 No.13267361 Report

Quoted By: >>13267371 >>13267378 >>13267384

>>13267331
Russel's paradox is idiotic. A set cannot contain itself. If you disagree then please show me one example of a set containing itself.

Anonymous

Anonymous Fri 11 Jun 2021 22:23:55 No.13267371 Report

Quoted By: >>13267379 >>13269060

>>13267361
The set of all sets that contain themselves

Anonymous

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Anonymous Fri 11 Jun 2021 22:24:30 No.13267373 Report

Quoted By: >>13267575

ALright OP, I'll bite

It pisses people off, most people, but especially all people.

Just that simple, but all & all we still get this
>

Anonymous

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Anonymous Fri 11 Jun 2021 22:25:35 No.13267378 Report

Quoted By:

>>13267361
>circle
:S

Anonymous

Anonymous Fri 11 Jun 2021 22:25:42 No.13267379 Report

Quoted By:

>>13267371
Undefined

Anonymous

Anonymous Fri 11 Jun 2021 22:25:53 No.13267380 Report

Quoted By: >>13267387

A = { x | x = A }

Anonymous

Anonymous Fri 11 Jun 2021 22:27:10 No.13267384 Report

Quoted By: >>13267390 >>13269060

>>13267361
x = {x}

Anonymous

Anonymous Fri 11 Jun 2021 22:27:16 No.13267385 Report

Quoted By:

The set "OP is a fag" has the following members
>0
>1
>2
>The set "OP is a fag"

Anonymous

Anonymous Fri 11 Jun 2021 22:27:23 No.13267386 Report

Quoted By:

$ .. it's a work in progress, some call it design, some kill people over it, again, it's a work in progress

Anonymous

Anonymous Fri 11 Jun 2021 22:27:40 No.13267387 Report

Quoted By: >>13267389 >>13267400

>>13267380
Syntax error. You can't use A on the RHS in the equation to define A on the LHS.

Anonymous

Anonymous Fri 11 Jun 2021 22:28:45 No.13267389 Report

Quoted By: >>13267395

>>13267387
A = {x | x = B}
where
B = {x | x = A}

Anonymous

Anonymous Fri 11 Jun 2021 22:28:45 No.13267390 Report

Quoted By: >>13267414

>>13267384
This equation is false. The two sides are not equal.

Anonymous

Anonymous Fri 11 Jun 2021 22:30:05 No.13267395 Report

Quoted By: >>13267396

>>13267389
This is still the same syntax error. Come on, dude.

Anonymous

Anonymous Fri 11 Jun 2021 22:30:31 No.13267396 Report

Quoted By:

>>13267395
No it's not.

Anonymous

Anonymous Fri 11 Jun 2021 22:31:43 No.13267400 Report

Quoted By: >>13267407

>>13267387
Where in the axioms does it say that it's a syntax error?

Anonymous

Anonymous Fri 11 Jun 2021 22:34:35 No.13267407 Report

Quoted By: >>13267411 >>13267415

>>13267400
I don't care about axioms but circular reasoning is a logical fallacy.

Anonymous

Anonymous Fri 11 Jun 2021 22:35:17 No.13267411 Report

Quoted By: >>13267470

>>13267407
circular reasoning is not prohibited in Naïve ST

Anonymous

Anonymous Fri 11 Jun 2021 22:35:59 No.13267414 Report

Quoted By:

>>13267390
You can have this with the additional antifoundation axiom. In general, foundation (or antifoundation) are not assumed in ZFC, depending on the tradition.

Anonymous

Anonymous Fri 11 Jun 2021 22:36:04 No.13267415 Report

Quoted By: >>13267421

>>13267407
self-reference is not circular reasoning, circular reasoning involves cyclic chains of answers to "why" questions

Anonymous

Anonymous Fri 11 Jun 2021 22:37:57 No.13267419 Report

Quoted By:

>>13267316
You can construct a set where a liars paradox happens on one of it's elements, where inclusion implies non-inclusion and vice versa. Why not just then create an axiom getting rid of liars paradox esque sets?

Anonymous

Anonymous Fri 11 Jun 2021 22:38:20 No.13267421 Report

Quoted By:

>>13267415
Also neither are prohibited by the axioms of NST. Do you want more logical rules? Add the axioms that generate them, else they go ungenerated.

Anonymous

Anonymous Fri 11 Jun 2021 22:57:54 No.13267470 Report

Quoted By:

>>13267411
Any axiomatic system is implicitly based on logic. Logic demands to dismiss circular reasoning.

Anonymous

Anonymous Fri 11 Jun 2021 22:59:10 No.13267474 Report

Quoted By:

Oh for fuck's sake just read Foundations of Set Theory by Azriel Levy and a bunch of other guys already

Anonymous

Anonymous Fri 11 Jun 2021 23:39:36 No.13267575 Report

Quoted By:

>>13267373
>blue light special
Did he mean bud-light?

Anonymous

Anonymous Sat 12 Jun 2021 01:15:14 No.13267800 Report

Quoted By:

>>13267331
My solution is to stop rustling.

Anonymous

Anonymous Sat 12 Jun 2021 09:17:16 No.13269060 Report

Quoted By: >>13269077

>>13267331
>>13267371
>>13267384
Why can't we just ban this kind of faggotry like how we ban 0/0 etc in arithmetic?

Anonymous

Anonymous Sat 12 Jun 2021 09:25:16 No.13269077 Report

Quoted By:

>>13269060
0/0=1 by definition

Anonymous

Anonymous Sat 12 Jun 2021 09:29:37 No.13269090 Report

Quoted By:

>>13267331
it's a paradox, so what?
that doesn't mean shit.

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