@mathandcobb: Replying to @soufiane0p here is an explanation of the axiom of choice and the Banach-Tarski paradox! Hope this helps #math #mathtok #settheory #axiomofchoice #banachtarskiparadox

qweenlines :

I don’t belong here obviously 😂😂😂

Don’tCallMe ;3 :

Ohh i accidentally entered STEM🙂

mrstamakloe :

Make me go viral 🥰❤️❤️❤️girls supporting girls

Ranjith :

i just started learning bout the foundations of math and it’s mad trippy 😵‍💫

Chadbek 🥟🐼 :

If “it doesn’t matter which item” then why does one need a way to choose? 🥀🥀🥀

Marry Marry :

don't worryy age my heart all day llove your guide so much you are the love of don't blame me you mother l love you you only love me long time ago when you feel like everything is going to continue moving forward placing one foot in the name of Jesus Christ amen

Coco :

My fav example is that without the AC, RxRxR... is empty

Jason :

Is it possible to find a “weaker” axiom that would imply the things that we want and not the unnatural, or do the good and bad come together ?

tgarr!!  :

p. p. p.

Mst Fatima Begum :

good, ❤️❤️❤️❤️❤️🌹🌹🌹🌹🌹

Muzammil king :

good

Yvan Vivid :

the well ordering axiom is equivalent and also something that seems like one would want.

foxmind673 :

I get the conclusion, but how do get to that conclusion ? Intuitively we think that the output spheres are thiner or smaller

@krakrak🏳️‍🌈🇵🇱🇪🇺 :

Why do people blame the poor axiom of choice 😭 while in reality, it's the real numbers. They are the root cause of all the weird results

iok6 :

bb

pretty -miss327 :

good,, saopt me plz

khairul Messi :

carryunwind :

can you actually simulate the partitioning of the sphere and transformation into two identical spheres?

Juanito :

Those theorems follow from the Zorns Lemma? Is a consequence of the axiom of choice?

IQBAL G :

like 🥰

judithanderson66 :

i geometry we can assume parallel lines do intersect at infinity or never do that choice is called an axiom. A method of proof.."induction" is limited

the fool above the gray fog :

what are your thoughts on the approach of using cellular automata to computer/model things?

Lili Zoey :

i prefer the negation of AC tbh, i think sets are and should be weird and there should be a collection of sets without a choice function

Beppe Nonantola :

i have always struggled with this concept. Particularly the implications seem to far away from the axiom itself. It involves a lot of abstract thin

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