/sci/ - Science & Math » Thread #11819537

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Thoughts/Insights on infinity?

Anonymous Sat 20 Jun 23:45:54 2020 No.11819537 View Reply Original Report

Quoted By: >>11819545 >>11819557 >>11819564 >>11821587 >>11823606

I'm having trouble wrapping my head around it

Anonymous

Anonymous Sat 20 Jun 2020 23:47:54 No.11819545 Report

Quoted By: >>11819550 >>11819591

>>11819537
Which part doesn't make sense?

Anonymous

Anonymous Sat 20 Jun 2020 23:49:40 No.11819550 Report

Quoted By: >>11819635

>>11819545
Nothing is infinitely large, it's an absurd abstract concept.

Anonymous

Anonymous Sat 20 Jun 2020 23:51:57 No.11819557 Report

Quoted By:

>>11819537
Infinity is something endless, therefore can't be measured with things that have an end.

Anonymous

Anonymous Sat 20 Jun 2020 23:55:32 No.11819564 Report

Quoted By:

>>11819537
>Which part makes sense?

Anonymous

Anonymous Sun 21 Jun 2020 00:03:02 No.11819591 Report

Quoted By: >>11819603 >>11819635 >>11819725 >>11821623

>>11819545
there's an infinite number of prime numbers as well as positive numbers. Yet there's more positive numbers than prime numbers. What gives? Is mathematics wrong? You can't make sense of it

Anonymous

Anonymous Sun 21 Jun 2020 00:06:02 No.11819603 Report

Quoted By: >>11819605

>>11819591
>Yet there's more positive numbers than prime numbers.
False

Anonymous

Anonymous Sun 21 Jun 2020 00:06:34 No.11819605 Report

Quoted By: >>11819624

>>11819603
The primes are a subset of the positive numbers

Anonymous

Anonymous Sun 21 Jun 2020 00:11:50 No.11819624 Report

Quoted By: >>11819640

>>11819605
Irrelevant. Subsets can share cardinality with their supersets, happens all the time.
Take at least 1 actual math class.

Anonymous

Anonymous Sun 21 Jun 2020 00:13:44 No.11819635 Report

Quoted By:

>>11819550
Everything in math is abstract. Even 2. Two children aren't really 2 of the same thing.
>>11819591
Imagine you have to keep pissing forever. You can either let it flow without doing anything, or you can squeeze off the flow for a bit then start flowing again. You're still pissing forever, the only difference is the rhythm.

Anonymous

Anonymous Sun 21 Jun 2020 00:15:13 No.11819640 Report

Quoted By: >>11819653 >>11819659

>>11819624
No, he's right. Primes are 0 dense.

Anonymous

Anonymous Sun 21 Jun 2020 00:19:22 No.11819653 Report

Quoted By: >>11819690 >>11822348

>>11819640
The statement "there are more natural numbers than primes" is false. Density doesn't change this and is irrelevant.

Anonymous

Anonymous Sun 21 Jun 2020 00:20:45 No.11819659 Report

Quoted By: >>11819690

>>11819640
Why are you conflating density and cardinality? They are both different.

Anonymous

Anonymous Sun 21 Jun 2020 00:34:38 No.11819690 Report

Quoted By: >>11819703

>>11819659
>Why are you conflating density and cardinality?
I'm not. You are.

>>11819653
>The statement "there are more natural numbers than primes" is false. Density doesn't change this and is irrelevant.
Nope. There are so many more n than p that p is 0 dense. The cardinality is the same, but the fact that there are more n than p is literally proven at 1, which is an element of N but not of P.

Anonymous

Anonymous Sun 21 Jun 2020 00:39:03 No.11819703 Report

Quoted By: >>11819750

>>11819690
>The cardinality is the same, but the fact that there are more n than p is literally proven at 1
This is what a brainlet post looks like

Anonymous

Anonymous Sun 21 Jun 2020 00:45:58 No.11819725 Report

Quoted By:

>>11819591
https://www.ams.org/journals/jams/2016-29-01/S0894-0347-2015-00830-X/home.html

Same amount

Anonymous

Anonymous Sun 21 Jun 2020 00:52:56 No.11819750 Report

Quoted By: >>11819829

>>11819703
Yeah, you're a brainlet. I know.
And I'd love to hear you explain how p is 0 dense in n without being less.
Dance for me, Einstein.

Anonymous

Anonymous Sun 21 Jun 2020 01:13:50 No.11819829 Report

Quoted By: >>11819843 >>11819874

>>11819750
>say a contradiction
>get called a brainlet
>NO NO NO you're a brainlet, prove this factoid to show me
cringe

Anonymous

Anonymous Sun 21 Jun 2020 01:18:22 No.11819843 Report

Quoted By:

>>11819829
>cringe
okay weirdo.

And I'd still love to hear you explain how p is 0 dense in n without being less. You can't, can you?

Anonymous

Anonymous Sun 21 Jun 2020 01:27:34 No.11819874 Report

Quoted By: >>11821652

Thread summary:
>>11819829
>i'm an imbecile who thinks there's no difference between p and n because they can both be indexed by n
Congratulations, you are the biggest big brain in the thread lmao.

El Arcón

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El Arcón Sun 21 Jun 2020 01:38:49 No.11819900 Report

Quoted By: >>11819945 >>11821637

Instead of thinking of infinity as the biggest number, maybe it is useful to also think of it as the least number which is still greater than any real number. If you can go off the real line in the transverse direction onto the complex plane, then one ought to be able to go off the real line in the longitudinal direction onto some transfinite continuation of the real line beyond "infinity."

I guess you could even say that numbers bigger than infinity are "imaginary" and then try to make some connection between the regions beyond plus and minus infinity with the regions of the imaginary line in the upper and lower complex half-planes. Wouldn't it be cool if the two regions were equal representations of the same non-real quantity? I will have a look at it one of these days, but maybe you all could do it first.

Anonymous

Anonymous Sun 21 Jun 2020 01:55:33 No.11819945 Report

Quoted By:

>>11819900
the complex plane is simply R^2
it’s like what Q is to N. nothing new

Anonymous

Anonymous Sun 21 Jun 2020 12:44:00 No.11821587 Report

Quoted By:

>>11819537
>I'm having trouble wrapping my head around it
hahaha funny

Anonymous

Anonymous Sun 21 Jun 2020 13:06:03 No.11821623 Report

Quoted By:

>>11819591
>et there's more positive numbers than prime numbers.
define "there's more X than Y"

Anonymous

Anonymous Sun 21 Jun 2020 13:10:49 No.11821637 Report

Quoted By:

>>11819900
https://en.m.wikipedia.org/wiki/Hyperreal_number

Anonymous

Anonymous Sun 21 Jun 2020 13:17:00 No.11821652 Report

Quoted By: >>11821677

>>11819874
Haha you're the moron who just wrote "I can count p and n exactly the same forever" in a slightly different way.

Anonymous

Anonymous Sun 21 Jun 2020 13:28:17 No.11821677 Report

Quoted By: >>11822251

>>11821652
Lol if you think that's not true, you're even dumber than the other guy. We have a new winner.

Anonymous

Anonymous Sun 21 Jun 2020 16:16:18 No.11822251 Report

Quoted By: >>11822276

>>11821677
Since you misread it, I'm going to articulate.
You can count p and n the same infinitely.
Any meaningful association of relative sizes must then be equal.

Anonymous

Anonymous Sun 21 Jun 2020 16:24:11 No.11822276 Report

Quoted By: >>11822396

>>11822251
>Any meaningful association of relative sizes must then be equal.
Bzzzt. p is 0 dense in n. Come back after you get your GED.

Anonymous

Anonymous Sun 21 Jun 2020 16:52:20 No.11822348 Report

Quoted By: >>11822354 >>11822429

>>11819653
You're a retard
At any point in a count there will be more positive numbers than prime numbers at n = 10+
So as you tend towards infinity, no matter what point you choose along the arbitrarily large spectrum, there will always be more positive numbers than prime numbers

Anonymous

Anonymous Sun 21 Jun 2020 16:54:58 No.11822354 Report

Quoted By:

>>11822348
sweet summer child, bless your heart

Anonymous

Anonymous Sun 21 Jun 2020 17:09:02 No.11822396 Report

Quoted By: >>11822459

>>11822276
You keep saying that, but it literally doesn't matter. Density and cardinality measure different things. The primes are countable, that's all that's relevant here; it doesn't matter if they're 'rare', in some sense, relative to the integers, only if you can set up a bijection between them. Which you can: just lay 'em out in an ordered list.

Anonymous

Anonymous Sun 21 Jun 2020 17:16:44 No.11822420 Report

Quoted By:

infinity is big

Anonymous

Anonymous Sun 21 Jun 2020 17:19:16 No.11822429 Report

Quoted By: >>11822435 >>11823359

>>11822348
Isn't mathematical analysis wild? Some things that seem intuitive are actually probably incorrect. Cantor truly shocked the world with his discoveries.

Anonymous

Anonymous Sun 21 Jun 2020 17:20:19 No.11822435 Report

Quoted By:

>>11822429
provably*

Anonymous

Anonymous Sun 21 Jun 2020 17:24:26 No.11822459 Report

Quoted By:

>>11822396
Why do you keep beating the dead horse of cardinality when everyone already agrees that p and n are equicardinal?

Anonymous

Anonymous Sun 21 Jun 2020 22:15:44 No.11823359 Report

Quoted By: >>11823399

>>11822429
isn't the idea that some infinities are bigger than others revolting? Why do I feel this way

Anonymous

Anonymous Sun 21 Jun 2020 22:27:23 No.11823399 Report

Quoted By:

>>11823359
Probably because you were born into privilege. Any normal person understands that if you have two mutually antipathetic chores, like vacuuming and dusting, that you can never complete both at the same time.

Anonymous

Anonymous Sun 21 Jun 2020 23:05:20 No.11823533 Report

Quoted By: >>11823580 >>11824371

Infinity is a human construct. Nothing in nature occurs infinitely - we only assign that idea to things we can't define or wholly understand. Like the real size of the universe, for example. Yes, infinity can occur in mathematics because we designed it. It's not a real entity

Anonymous

Anonymous Sun 21 Jun 2020 23:19:46 No.11823580 Report

Quoted By: >>11824348

>>11823533
Everything in nature is infinite. Humanity is the drive to digitize the analog. Digits aren't real. Analog is.

Anonymous

Anonymous Sun 21 Jun 2020 23:26:57 No.11823606 Report

Quoted By:

>>11819537
>I'm having trouble wrapping my head around it
That's because your brain is full of Abrahamic/jewish ideas and concepts. You've got a Semitic/Jewish worldview. Maybe you even are a Jew.

Native Europeans with a Native European worldview, with minds free from desert poisons, are 100% able to understand infinity and eternity.

Anonymous

Anonymous Mon 22 Jun 2020 05:41:56 No.11824348 Report

Quoted By:

>>11823580
this

Anonymous

Anonymous Mon 22 Jun 2020 05:51:44 No.11824371 Report

Quoted By:

>>11823533
>It's not a real entity
yeah it's an abstraction.
doesn't really change anything.
You've essentially said nothing.

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