/sci/ - Science & Math » Thread #11750563

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Anonymous Sun 31 May 22:26:59 2020 No.11750563 View Reply Original Report

Quoted By: >>11750567 >>11750572 >>11750663 >>11750898 >>11751706 >>11751736 >>11751902 >>11752252 >>11753094 >>11753181 >>11753231

>NOOOOO ? IS THE SAME AS ?+1 EVEN THOUGH THE LATTER IS OBVIOUSLY GREATER NOOOOOO

Anonymous

Anonymous Sun 31 May 2020 22:28:32 No.11750567 Report

Quoted By: >>11753457

>>11750563
Infinity, as in all of the integers or reals, is absolutely unchanged by plus 1.

Anonymous

Anonymous Sun 31 May 2020 22:29:23 No.11750572 Report

Quoted By:

>>11750563
It's okay anon, we all struggle with math sometimes.

Anonymous

Anonymous Sun 31 May 2020 22:40:44 No.11750611 Report

Quoted By:

>doesn't know about infinitesimal calc

Anonymous

Anonymous Sun 31 May 2020 22:49:57 No.11750654 Report

Quoted By: >>11750701

1 is a number and infinity is a concept. Numbers are concepts too but infinity is a different kind of concept. ?+1 is like saying antidisestablishmentarianism + photosynthesis.

Anonymous

Anonymous Sun 31 May 2020 22:51:51 No.11750663 Report

Quoted By:

>>11750563
$\omega + 1$ is greater than $\omega$ though.

Anonymous

Anonymous Sun 31 May 2020 23:01:25 No.11750701 Report

Quoted By: >>11750719 >>11751741 >>11751748 >>11752230 >>11752270 >>11753140

>>11750654
There are different sizes of infinity. For example, the number of even numbers is infinite and the number of whole numbers are infinite, yet since the number of even numbers is contained within the number of whole numbers, it must be smaller than the infinite number of whole numbers.

Anonymous

Anonymous Sun 31 May 2020 23:06:22 No.11750719 Report

Quoted By: >>11750834

>>11750701
>natural numbers are infinite
>natural numbers plus 1/2 is infinite+1
>infinity+1 > infinity

Anonymous

Anonymous Sun 31 May 2020 23:36:56 No.11750834 Report

Quoted By:

>>11750719
Correct

Anonymous

Anonymous Mon 01 Jun 2020 00:03:57 No.11750898 Report

Quoted By:

>>11750563
The later is not greater
I'm really getting sick of fucking dumbfucks shitting up the board.

Anonymous

Anonymous Mon 01 Jun 2020 07:26:12 No.11751706 Report

Quoted By:

>>11750563
>OBVIOUSLY
I would say ? is obviously the same as ?+1

Anonymous

Anonymous Mon 01 Jun 2020 07:49:42 No.11751736 Report

Quoted By: >>11752277

>>11750563
order =/= greatness
they're all >R

Anonymous

Anonymous Mon 01 Jun 2020 07:51:08 No.11751741 Report

Quoted By: >>11752259

>>11750701
bijection between them exists --> same size

Anonymous

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Anonymous Mon 01 Jun 2020 07:56:08 No.11751748 Report

Quoted By:

>>11750701

Anonymous

Anonymous Mon 01 Jun 2020 09:43:05 No.11751902 Report

Quoted By:

>>11750563
>using infinity as an integer

Anonymous

Anonymous Mon 01 Jun 2020 13:16:34 No.11752230 Report

Quoted By: >>11752261

>>11750701
$f: \mathbb{Z} \rightarrow 2\mathbb{Z}$
$x \mapsto 2x$
is 1-1 and onto (trivially)
So both sets have the same number of elements

Anonymous

Anonymous Mon 01 Jun 2020 13:41:30 No.11752252 Report

Quoted By:

>>11750563
All numbers are the identity element for (inf, +)

Anonymous

Anonymous Mon 01 Jun 2020 13:44:22 No.11752259 Report

Quoted By: >>11752260 >>11752270 >>11752272

>>11751741
>bijection between them exists
No, this is where you're wrong.

Anonymous

Anonymous Mon 01 Jun 2020 13:45:21 No.11752260 Report

Quoted By: >>11752265

>>11752259
a bijection between integers and even integers doesn't exist ?

Anonymous

Anonymous Mon 01 Jun 2020 13:45:40 No.11752261 Report

Quoted By: >>11752270

>>11752230
don't try to be smart because you will never be. sorry.

Anonymous

Anonymous Mon 01 Jun 2020 13:49:34 No.11752265 Report

Quoted By: >>11752272

>>11752260
how are there so many highschoolers in this thread? Have none of you taken analysis?

A set is infinite if A is equivalent to one of its proper subsets. It's literally one of the first things you read in ch.2 of rudin.

Anonymous

Anonymous Mon 01 Jun 2020 13:53:17 No.11752270 Report

Quoted By:

>>11750701
>>11752259
>>11752261
10/10 made me reply

Anonymous

Anonymous Mon 01 Jun 2020 13:53:55 No.11752272 Report

Quoted By:

>>11752265
are you >>11752259 ?

Anonymous

Anonymous Mon 01 Jun 2020 13:55:42 No.11752277 Report

Quoted By:

>>11751736
*ordinality =/= cardinality

Anonymous

Anonymous Mon 01 Jun 2020 14:05:44 No.11752295 Report

Quoted By:

you are
retard

Anonymous

Anonymous Mon 01 Jun 2020 19:41:35 No.11753094 Report

Quoted By: >>11753213

>>11750563
? is a concept, not a number, faggot, kys your shelve

Anonymous

Anonymous Mon 01 Jun 2020 19:59:45 No.11753140 Report

Quoted By:

>>11750701
>number of even numbers is contained in within the number of whole numbers
Is 5 contained in 8? You faggot cannot even articulate what you mean.

Anonymous

Anonymous Mon 01 Jun 2020 20:22:15 No.11753172 Report

Quoted By:

Addition is like adding a stick to another stick. Adding to infinity is like trying to add a stick to a ray

Anonymous

Anonymous Mon 01 Jun 2020 20:26:56 No.11753181 Report

Quoted By: >>11753222

>>11750563
Define infinity + 1

Anonymous

Anonymous Mon 01 Jun 2020 20:39:54 No.11753213 Report

Quoted By: >>11753377 >>11753392

>>11753094
>? is a concept, not a number
then it's useless. come back when it can be treated like a number.

Anonymous

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Anonymous Mon 01 Jun 2020 20:44:04 No.11753222 Report

Quoted By:

>>11753181
First, define infinity, which is well-defined on the extended real number line.
If infinity-1 is positive, then what's infinity+1?

1-infinity.

Anonymous

Anonymous Mon 01 Jun 2020 20:47:39 No.11753231 Report

Quoted By:

>>11750563
That's like saying "myself including my arm is greater than the whole of myself". You're describing the same thing in different terms.

Anonymous

Anonymous Mon 01 Jun 2020 21:44:55 No.11753377 Report

Quoted By:

>>11753213
it can. google extended number line

Anonymous

Anonymous Mon 01 Jun 2020 21:53:04 No.11753392 Report

Quoted By:

>>11753213
Infinity is not useless you fail high school math class?

Anonymous

Anonymous Mon 01 Jun 2020 22:28:19 No.11753457 Report

Quoted By:

>>11750567
countable infinty + 1 is a new ordinal; it has the same cardinality, however.

Anonymous

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Anonymous Mon 01 Jun 2020 22:30:26 No.11753462 Report

Quoted By: >>11753475

>comparing infinities
Why do mathfags do this? It defeats the fucking purpose

Anonymous

Anonymous Mon 01 Jun 2020 22:41:15 No.11753475 Report

Quoted By:

>>11753462
This is a Tibetan basket weaving forum. Of course basket weavers will want to analyze how an infinite weave of strings can't be compared to an unwoven infinite string.

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