continuum hypotheses

Q is bigger, what's your point?

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>>8557166
>it's clear that the set of all fractions is bigger then the integers
false

>>8557166
>pretending to not know Q is countable
Either retard or b8

No you moron OP, the answer is [math]\mathbf N \,\cup\, \left\{ -1 \right\}[/math].

>>8557171
something stinks here, 1/2 = 2/4 = 3/6 =..., so that would mean you're counting ALL the numbers infinitely often, but that can obviously can't be done in |N| steps

>>8557189
He's skipping those m8.

>>8557196
>claims rations are countable
>but skips a bunch of them
I heard enough

>>8557201
you can not skip them if you want. that means you're counting numbers infinitely often, and still you're counting all of them! so N is bigger than Q! wowie!

>>8557201
but 1/2 = 2/4

Those are the same rational number so it makes sense to skip 2/4

Also, why are we even having this discussion. The diagonal argument is a meme. Go google a fucking bijection from N to Q and see it for yourself you troll.

>>8557201
I really love this bait.

I know this is bait but people often fail to realise that [math]\mathbb{Q}[/math] is only a set of equivalence classes. [math]\mathbb{Q}:=(\mathbb{Z\times Z})/\sim[/math] where [math](a,b)\sim (c,d) \text{ iff } ad=bc[\math].

>>8557466
Fuck. [math]\mathbb{Q}:=(\mathbb{Z\times Z})/\sim[/math] where [math](a,b)\sim (c,d) \text{ iff } ad=bc[/math].

>>8557471
And of course it's [math](\mathbb{Z}\times\mathbb{Z}\setminus \{0\})/\sim[/math] but who the fuck cares nobody is going to read this im going to sleep

>>8557166
hope all mathematicians die, especially that "intrigued passionate" math asshole. bet he is such a dickhead irl i mean look at his fuckign face giving those fake smiles

>>8557189
Obvious?
Try to do this. Count the numbers up, but every time you reach a new number you go back to 1.

1,1,2,1,2,3,1,2,3,4,1,etc.

Oh shit, I am counting all numbers infinitely often. We'll, I guess math is broken and I should go study art history.

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>>8557166
Mythmaticians truly are a retarded breed. They fail to see the incoherence in mythmatics. Who knows if it is out of incompetence or if they are that deathly afraid of saying "Yup, I wasted my time studying this horse shit. Didn't even bother to check if it was coherent!" I think it's a mixture of both. Don't bully them too hard. Let them play in their autistic sandbox. It'll be exposed pretty soon anyway.