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๐Ÿงต Exotic numbers

Anonymous No. 16260413

Are there any new exotic number systems being worked on? It fascinates me

List of non standard numbers:

Transfinite numbers: Numbers that are greater than any natural number.

Ordinal numbers: Finite and infinite numbers used to describe the order type of well-ordered sets.

Cardinal numbers: Finite and infinite numbers used to describe the cardinalities of sets.

Infinitesimals: These are smaller than any positive real number, but are nonetheless greater than zero. These were used in the initial development of calculus, and are used in synthetic differential geometry.

Hyperreal numbers: The numbers used in non-standard analysis. These include infinite and infinitesimal numbers which possess certain properties of the real numbers.

Surreal numbers: A number system that includes the hyperreal numbers as well as the ordinals.

Fuzzy numbers: A generalization of the real numbers, in which each element is a connected set of possible values with weights.

Anonymous No. 16260426

>>16260413
About half of your question is a topic of set theory, the other half is answered in a course on algebra.

Anonymous No. 16260684

>>16260413
anything past the natural numbers is schizophrenia.

Anonymous No. 16261014

>>16260413
Yesterday this guy popped up in my yt feed https://en.wikipedia.org/wiki/James_A._D._W._Anderson

Anonymous No. 16262370

P-adics are by far the most interesting.

Anonymous No. 16262409

>>16260684
natural numbers are "infinite" which is an absurdity and a schizophrenic delusion

Anonymous No. 16262519

>>16260413
Did you make the picture? I'd like to request that you include the constructible and the computable numbers.

Anonymous No. 16262558

>>16262409
>natural numbers are "infinite"
You can't name one natural number that is infinite let alone multiple natural numbers that are infinite.

Anonymous No. 16262563

>>16260684
>>16262409
>>16262558
https://4chan.org/rules#global
>You will not post any of the following outside of /b/:
>Troll posts

Anonymous No. 16262570

>>16262563
I see you are clearly unable to name a natural number that is infinite, so I accept your concession.

Anonymous No. 16262572

>>16262570
Stop trolling.

Anonymous No. 16262583

>>16262572
Stop answering a question that necessitates a natural number with words that clearly have nothing to do with natural numbers.

Anonymous No. 16262584

>>16262583
Your trolling is futile. You are wasting time.

Anonymous No. 16262596

>>16262584
The only thing you can do is waste time to cover up the fact that you will never be able to name an infinite natural number.

Anonymous No. 16262598

>>16262596
Your troll attempt failed. Accept it. Move on.

Anonymous No. 16262602

>>16262598
You are the troll who is still answering number questions with words since you know there is no natural number that is infinite and no way to actually provide an infinite natural number as your answer.

Anonymous No. 16262605

>>16262602
You are trolling nobody but yourself.

Anonymous No. 16262606

>>16262605
You still can't point out a single natural number that is infinite and have to use whiny words to cope with being wrong.

Anonymous No. 16262607

>>16262606
Your trolling is too repetitive.

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Anonymous No. 16262611

>>16260413
I invented my own

Anonymous No. 16262612

>>16262607
>>>/lit/
Since you obviously don't understand how math works and will never mathematically prove your point, go whine on the board made for midwit wordcels like yourself.

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Anonymous No. 16262619

>>16262611
Its underpins box math and is the true basis for set theory

[math]0 \circlearrowleft \infty \circlearrowleft 0 \circlearrowleft \infty = \{\{\}\} = 1[/math]

Anonymous No. 16262620

>>16262607
>Unable to answer a simple math question over and over despite claiming he knows the answer over and over.
>Durr you repetitive.

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Anonymous No. 16262624

>>16262619

Anonymous No. 16262630

>>16262612
>>16262620
Samefagging doesn't save your failed troll.

Anonymous No. 16262633

>>16262630
Responding with more irrelevant words still isn't a proper response to a simple math question >>>/lit/.

Anonymous No. 16262643

>>16262633
Here are some numbers for your trolling: 0/10.

Anonymous No. 16262645

>>16262643
0, you mean like the exact same number of infinite natural numbers you have successfully been able to identify?

Anonymous No. 16262646

>>16262645
Repeat yourself again, troll.

Anonymous No. 16262651

>>16262646
Keep answering math questions with poorly constructed prose, tard.

Anonymous No. 16262653

>>16260413
Elliptical numbers, complex would be a subset of those.

Anonymous No. 16262654

>>16262651
I don't get it. Can you explain again?

Anonymous No. 16262672

>>16262654
Obviously you don't get it or you wouldn't keep giving poorly constructed sentences where simple numerical answers are necessitated.

Anonymous No. 16262674

>>16262672
Maybe post it another dozen times, troll?

Anonymous No. 16262676

>>16262674
Maybe finally admit you can't name any natural number that is infinite, so I don't have to keep pointing out you are wrong and can't answer to your own claim about an infinite natural number.

Anonymous No. 16262677

>>16262676
You will infinitely reply to me with your same lame troll shit.

Anonymous No. 16262679

>>16262677
Not even possible the way threads are designed to expire over time, dipshit, but good job continuing your trend of always being wrong about everything.

Anonymous No. 16262682

>>16262679
Don't ever stop replying. You do want to troll me really hard, don't you?

Anonymous No. 16262692

>>16262682
No, I know getting corrected triggers your ODD, but I just want you to quit constantly being wrong about everything.

Anonymous No. 16262693

>>16262692
Learn some math, troll.

Anonymous No. 16262694

>>16262693
No, u, dipshit who can only answer math question with retarded prose.

Anonymous No. 16262698

>>16262694
You don't know math, troll.

Anonymous No. 16262701

>>16262698
>>>/lit/

Anonymous No. 16262709

>>16262701
>>>/b/

Anonymous No. 16262713

>>16262709
I will as soon as you can use math to show that there is a natural number that is infinite instead of using words to cope with the fact you were wrong.

Anonymous No. 16262721

>>16262713
Still trolling, huh?

Anonymous No. 16262731

>>16262721
Still can't actually prove your claims with math and have to type seething sentences of uninteresting text instead, huh?

Anonymous No. 16262745

>>16262731
Your trolling failed. Time to give up.

Anonymous No. 16262748

>>16262745
You still aren't doing math, you are still seething about being wrong and being wholly incapable of proving your point using math.

Anonymous No. 16262751

>>16262748
I don't even read your replies anymore, you failed troll.

Anonymous No. 16262764

>>16262751
Why would you when you know you are going to fail at the task and your best option is to just be snarky and pretend like you aren't a failure at basic math?

Anonymous No. 16262765

>>16262764
Time to learn basic math, troll.

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Anonymous No. 16263800

>>16260413
Are there no other transcendental irrationals? What the fuck does a tranny number even mean? Just non-computable? But Pi seems very computable

Help my cute adorable little head understand

Anonymous No. 16263816

>>16263800
Transcendental (over a particular field) means that it is not a root of a polynomial (with coefficients in that field). Commonly, that field is taken to mean the rational numbers.

Anonymous No. 16263829

>>16262409
>natural numbers are "infinite"
wrong

Anonymous No. 16263874

>>16263829
Retard

Anonymous No. 16263883

>>16262765
Yes that is what I have been telling you, its time for you to learn basic math, so you quit trying to answer math questions with snark and poorly constructed sentences that contain no math whatsoever.

Anonymous No. 16263886

>>16263883
Retard

Anonymous No. 16263888

>>16263886
>t. the retard who still can't name a single infinite natural number, despite screeching about it for days

Anonymous No. 16263890

>>16263888
You WILL reply endlessly.

Anonymous No. 16263892

>>16263890
Only because you will never be able to actually mathematically prove your point and will just post rambling nonsense that is easily refutable instead.

Anonymous No. 16263893

>>16263888
For every natural number, I generate an infinite number of natural numbers, such that there exists an infinite number of natural numbers that hold an infinite number of natural numbers

>checkmate atheists

Anonymous No. 16263895

>>16263892
Dance for me, slave

Anonymous No. 16263902

>>16263895
Keep using retarded words instead of math since you will always be a slave to semantics and will never understand basic math. >>>/lit/

Anonymous No. 16263903

>>16263893
>inb4 you say I can't generate an infinite amount of natural numbers for each natural number...
In that case, I simply negate all the axioms and formalisms that lead to such a statement being true.

>numbers aren't even real
>cries in logic

Anonymous No. 16263906

>>16263902
You crave the insults, don't you, moron?

Anonymous No. 16263907

>>16263906
>t. the wordcel dipshit who is addicted to being insulted for being wholly unable to provide a single math proof of his retarded obviously false claims

Anonymous No. 16263908

>>16263800
There's an uncountably infinite # of transcendentals, but only a countably infinite # of names we can assign, so practically all of them are unknowable.
The liouville numbers are definitely computable though

Anonymous No. 16263910

>>16263907
Didn't read.

Anonymous No. 16263913

>>16263910
Why would you when you know it definitely proves you wrong and you can't possibly refute it with actual math, so its much better to just bury your head in the sand and pretend like you aren't always wrong about everything?

Anonymous No. 16263914

>>16263913
Your stupid

Anonymous No. 16263916

>>16263914
kek words are your only refuse since you have 0 math ability, yet you're still too retarded to know when to use your vs you're, maybe you shouldn't even go to >>>/lit/ and just need to go back

Anonymous No. 16263919

>>16263916
Keep trolling, dummy

Anonymous No. 16263926

>>16263919
I might start trolling when you post a single math equation to prove your claim and make me look as retarded as you have looked this entire thread, until then I am just holding you to your claims while you trololololol and seethe about being retarded and wholly unable to prove your claims.

Anonymous No. 16263928

>>16263919
>>16263926
And watch as you prove once again you are too retarded for math and have to cope and seethe with more retarded words and not a single math equation.

Anonymous No. 16263931

>>16263926
Very low IQ post

Anonymous No. 16263933

>>16263928
Try harder, troll

Anonymous No. 16263936

>>16263933
I don't need to, I perfectly predicted how your retardation would express itself >>16263928 and how you still can't do math because you are too busy mashing words together poorly to think and compute for yourself.

Anonymous No. 16263938

>>16263931
There is no reason to label your posts, everyone knows by now and your retarded brain definitely can't provide more insight than onlookers can gleam for themselves.

Anonymous No. 16263941

>>16263936
You WILL reply

Anonymous No. 16263943

>>16263938
Dedicate your time to me

Anonymous No. 16263944

>>16263941
You WILL prove once again you are too retarded for math and have to cope and seethe with more retarded words and not a single math equation.

Anonymous No. 16263945

>>16263943
Its better than you dedicating your time to being incorrect about everything all the time.

Anonymous No. 16263948

>>16263944
I'm your girlfriend now

Anonymous No. 16263950

>>16263945
Humiliation ritual

Anonymous No. 16263953

>>16263948
>>16263950
Ah, you have a subservient humiliation fetish, no wonder you like being repeatedly proven wrong while talking about yourself on social media.

Anonymous No. 16263960

>>16263953
Projecting

Anonymous No. 16263969

>>16263960
You brought those things up, submitting to me as my gf and humiliating yourself ritualistically, I am just interpreting your words since you can only seem to use poorly constructed semantics and never any actual math.

Anonymous No. 16263971

>>16263969
Didn't read. You will reply regardless.

Anonymous No. 16263977

>>16263971
As predicted
>>16263944

Anonymous No. 16263979

>>16263977
Endless reply loop

Anonymous No. 16263982

>>16263979
Yes that is how being wrong works, you will be wrong forever and someone else will eventually be here with the truth to correct you.

Anonymous No. 16263987

>>16263982
Continue

Anonymous No. 16263989

>>16263987
Yes you will continue to be wrong until you actually learn math and post mathematical proofs.

Anonymous No. 16263991

>>16263987
>>16263989
But feel free to post more poorly constructed semantics that prove you don't understand basic math.

Anonymous No. 16263992

>>16263989
Projecting

Anonymous No. 16263993

>>16263991
Le troll face

Anonymous No. 16263995

>>16263992
Good job proving how wrong you can be and how little understanding you have of the words you use.

>>16263993
Le still not able to understand basic math or post a single math proof face.

Anonymous No. 16263998

>>16263995
Go on

Anonymous No. 16263999

>>16263998
Ok, here is some math for you to consider since you have yet to post anything math related:
The odds of you ever posting a single math proof to back up your claims (0.00%) multiplied by the amount of times you have been correct in this thread (0) equals 0.00% * 0 = 0.

Anonymous No. 16264003

>>16263999
You failed. Try again.

Anonymous No. 16264008

>>16264003
While I knew you were too stupid for middle school or higher math, I never would have guessed you were also too stupid to understand that 0*0=0.

Anonymous No. 16264011

>>16264008
You WILL reply

Anonymous No. 16264020

>>16264011
You WILL never post anything related to math because it is far beyond your abilities.

Anonymous No. 16264022

>>16264011
Yet, you WILL seethe and cry with more vague semantics about the fact that you will never be able to prove your claims with basic math.

Anonymous No. 16264029

>>16264020
Say it again

Anonymous No. 16264032

>>16264022
Dance for me

Anonymous No. 16264040

>>16264029
Its still true, so why not.

Anonymous No. 16264042

>>16264032
You are the one dancing for me since the closer we get to 300 posts, the closer we get to page 10 and the closer we get to proving that this exchange can't possibly be endless as you keep falsely claims, so all we are doing is getting close and closer to definitely proving you are wrong about everything.

Anonymous No. 16264044

>>16264040
Need more repetition.

Anonymous No. 16264046

>>16264042
You are wrong.

Anonymous No. 16264048

>>16264044
Ok, you haven't posted a single math fact and you don't even know that 0*0=0.

Anonymous No. 16264049

>>16264046
You just have to dance for me a couple hundred more times and find out the hard way you are wrong and there is no way to make this exchange endless.

Anonymous No. 16264050

>>16264048
Say it again.

Anonymous No. 16264051

>>16264049
You will never be free

Anonymous No. 16264052

>>16264050
Ok, you haven't posted a single math fact and you don't even know that 0*0=0.

Anonymous No. 16264054

>>16264051
You will never name an infinite natural number and you will never be in an endless 4chan thread.

Anonymous No. 16264055

>>16264052
What?

Anonymous No. 16264056

>>16264054
You will never stop replying

Anonymous No. 16264059

>>16264056
Now try to prove it with math instead of saying nonsense over and over.

Anonymous No. 16264061

>>16264055
You haven't posted a single math fact and you don't even know that 0*0=0.

Anonymous No. 16264064

>>16264059
False

Anonymous No. 16264065

>>16264061
Why?

Anonymous No. 16264068

>>16264064
Correct, your "proof" is false because you don't know how math works.

Anonymous No. 16264070

>>16264065
I am guessing because you are inherently stupid to the point you can't figure out basic kindergarten math, but it could be some kind of brain damage or genetic problem you picked up along the way.

Anonymous No. 16264074

>>16264068
How?

Anonymous No. 16264076

>>16264070
Why?

Anonymous No. 16264078

>>16264074
see
>>16264070

Anonymous No. 16264079

>>16264076
It makes the most logical sense and your brain damage can be mathematically described in relation to the shear number of times you are wrong in a single thread.

Anonymous No. 16264085

>>16264078
Wrong

Anonymous No. 16264087

>>16264079
Projecting

Anonymous No. 16264093

>>16264085
see
>>16263999
>>16264003
You think 0*0=0 is a failing equation because you don't understand basic math.

Anonymous No. 16264096

>>16264087
Yes I am making a statistical projection about how your brain damage influences all your answers to primarily be wrong.

Anonymous No. 16264100

>>16264093
False

Anonymous No. 16264101

>>16264096
You are wrong.

Anonymous No. 16264104

>>16264100
Nope that post definitely exists for anyone to see, you are getting worse and worse at denying reality as time goes on.

Anonymous No. 16264106

>>16264104
Dumb and wrong

Anonymous No. 16264109

>>16264101
Only because I probably am still underestimating the total detrimental effects of your brain damage and how it hurts your ability to coherently process reality and do basic logic like kindergarten tier math.

Anonymous No. 16264110

>>16264109
Projecting

Anonymous No. 16264111

>>16264106
Nope its definitely correct because the posts definitely exist and have their own serial numbers I can still refer to >>16263999 >>16264003.

Anonymous No. 16264114

>>16264110
Yes I am projecting how your brain damage affects your ability to process reality, you just aren't able to screen the projections because of said brain damage and your poor grasp of language.

Anonymous No. 16264120

>>16264111
You are butthurt

Anonymous No. 16264122

>>16264114
You WILL reply

Anonymous No. 16264125

>>16264120
Yes, lies being force fed by retarded liars is painful to deal with.

Anonymous No. 16264127

>>16264125
Keep seething

Anonymous No. 16264128

>>16264122
You WILL remain brain damaged while bumping this thread to the limit with retarded nonsense since you can't do math.

Anonymous No. 16264129

>>16264127
As long as you keep lying, I will complain about it.

Anonymous No. 16264130

>>16264128
Stupid and wrong

Anonymous No. 16264132

>>16264129
Autism

Anonymous No. 16264136

>>16264130
Why did you tl;dr my summary of you without getting it down to a single monosyllabic grunt as you tend to do?

Anonymous No. 16264137

>>16264132
>You have the mental disorder that makes people more likely to be logical and correct about math.
You really dunked on me there, retard.

Anonymous No. 16264142

>>16264136
Retard

Anonymous No. 16264144

>>16264137
I'm right, your wrong

Anonymous No. 16264147

>>16264142
There are those grunt we have come to expect.

Anonymous No. 16264149

>>16264144
You are about halfway to finding out how wrong you are when this "endless" thread reaches its limit and goes to the end of the line to die.

Anonymous No. 16264150

>>16264147
Reply

Anonymous No. 16264153

>>16264149
You have no brain

Anonymous No. 16264155

>>16264153
damage.

Correct, I have no brain damage.
You on the other hand, don't understand how math or threads work due to your significant brain damage.

Anonymous No. 16264157

>>16264150
Ok

Anonymous No. 16264158

>>16264150
But we need more so you can be proven wrong faster.

Anonymous No. 16264159

>>16264150
If that is ok with you which it is since you clearly don't understand cause and effect very well.