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Thread 16771958

74 posts 6 images /sci/
Anonymous No.16771958 >>16772068 >>16772080 >>16772289 >>16773211 >>16773810 >>16773970 >>16775228 >>16776013
That there are infinite natural numbers is the central property of infinity
If there are an infinite number of natural numbers, and an infinite number of fractions in between any two natural numbers, and an infinite number of fractions in between any two of those fractions, and an infinite number of fractions in between any two of those fractions, and an infinite number of fractions in between any two of those fractions, and... then that must mean that there are not only infinite infinities, but an infinite number of those infinites. and an infinite number of those infinities. and an infinite number of those infinities. and an infinite number of those infinities. and... (infinitely times. and that infinitely times. and that infinitely times. and that infinitely times. and that infinitely times. and...) continues forever. and that continues forever. and that continues forever. and that continues forever. and that continues forever. and...(...)...
Anonymous No.16772068 >>16773283 >>16776013
>>16771958 (OP)
Why the fuck do you keep spamming this schizo shit on every single board
You have been answered satisfactorily 100s of times now
Anonymous No.16772080
>>16771958 (OP)
>infinite
is the infinity in the room with us right now?
Anonymous No.16772289 >>16773825
>>16771958 (OP)
Define natural number, infinity, fraction, and "between".
Anonymous No.16773202
congrats you just discovered fractals
Anonymous No.16773211 >>16773580 >>16773927
>>16771958 (OP)
Read what is "countable"
Anonymous No.16773283
>>16772068
Shut up bitch.
Anonymous No.16773580 >>16773796 >>16773927
>>16773211
>countable
is a terrible word choice, indexable would be much better as it doesn't imply a completion is obtainable.
Anonymous No.16773796 >>16773834 >>16773875 >>16773927 >>16775366
>>16773580
>indexable would be much better
What's the difference? How is indexing something different than counting it?
Michio Kaku predicted me No.16773810
>>16771958 (OP)
Duh. Because infinity is more of a concept than some given discrete value. It just demonstrates infinity. That's why you can have something to the power of infinity, you can multiply by infinity, you can count to infinity (I think it's "1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10"), you can have numbers greater than infinity (like Aleph) and so on.
Anonymous No.16773825 >>16773836 >>16773900 >>16773916 >>16774002 >>16774020
>>16772289
>Define natural number
Waiting to see if 0 makes the cut or not.
Anonymous No.16773834 >>16773838 >>16773927
>>16773796
it's not really but if you said something like label-able maybe I guess
essentially that you can pick something that is the next something
which you cant with reals, there is no "next" one
Anonymous No.16773836 >>16773850 >>16773893
>>16773825
It doesn't. 0 is a natural number like a girl has a dick. Twenty years from now, the natural number page on wikipedia will have been reverted to what it was two years ago.
Anonymous No.16773838 >>16773851 >>16773853 >>16773927
>>16773834
To me it looks like label, index, count, they're all the same thing. No?
Anonymous No.16773850 >>16773854 >>16773863
>>16773836
>Twenty years from now, the natural number page on wikipedia will have been reverted to what it was two years ago.
Totally organic and natural sentence.
Anonymous No.16773851 >>16773857
>>16773838
well counting, in daily non-technical jargon, implies counting 'til the end, and indexing and labeling is more about looking at something and recognizing in what bin/folder/category ir goes.

As an example if you ask someone to count the number of rice in a rice bag they will usually tell you to go fuck yourself since they won't count all that shit
Anonymous No.16773853 >>16773857 >>16773866
>>16773838
The difference between idexing and counting is that counting uses the counting numbers as the indexing set.
Anonymous No.16773854 >>16773861
>>16773850
Yeah, and we don't want you here if you can't parse our language. Go swim in your own shit.
Anonymous No.16773857 >>16773867 >>16773870
>>16773851
No it doesn't. Counting is ongoing you retarded Indian
>>16773853
Lol wtf
Anonymous No.16773861 >>16773866
>>16773854
>wdym i can just edit wikipedialeaks myself?!?
Who's the idiot now, moron. You sure are retarded.
Anonymous No.16773863
>>16773850
what the fuck is going on there kek
Anonymous No.16773866
>>16773861
>>16773853
Just mentally speak these syllables in a lilted Indian voice lol.
Anonymous No.16773867 >>16773871
>>16773857
What part of my reply was unclear to you ranjeet?
Anonymous No.16773870 >>16773876
>>16773857
An index is a function from an indexing set to an object set.
Counting is just a special case where the index set is a subset of {1, 2, 3, ... }.
Simple as.
Anonymous No.16773871 >>16773881
>>16773867
We don't want you here.
Anonymous No.16773875 >>16773882 >>16774018
>>16773796
>it doesn't imply a completion is obtainable.
it doesn't imply a completion is obtainable.
Anonymous No.16773876 >>16773891
>>16773870
>{1, 2, 3, ... }
Lol thanks for agreeing
Anonymous No.16773881 >>16773886
>>16773871
we as in you and your streetshitting troupe?
Anonymous No.16773882
>>16773875
>it doesn't imply a completion is obtainable.
Literally just imagine this in indio voce.
Anonymous No.16773886
>>16773881
>we as in you and your streetshitting troupe?
indio voce
Anonymous No.16773891 >>16773893
>>16773876
>Lol thanks for agreeing
Agreeing with what, khan?
Anonymous No.16773893 >>16773896
>>16773891
>>16773836
Anonymous No.16773896 >>16773902
>>16773893
That 0 is not in {1,2,3, ... } or that all subsets of {1,2,3, ... } are finite.
Be clear in your language, Jamal. Words have meanings.
Anonymous No.16773900 >>16773904 >>16773916
>>16773825
So now that we've setminused the retarded call center that called in from Jeetpadeesh. It is absolutely true that 20 years from now, the natural number page on wikipedia will have been reverted to what it was 2 years ago, in terms of the starting integer.
Anonymous No.16773902 >>16773904
>>16773896
Go home. We don't want you here.
Anonymous No.16773904 >>16773909
>>16773902
>>16773900
hello saar please redeem counting and send vagen index
Anonymous No.16773909
>>16773904
Go home to your ugly mother.
Anonymous No.16773916 >>16773924
>>16773900
Why the fuck do you think I said otherwise? I called you a bot. Change whatever wiki you want.
You'll be the first LLM to do it.
I (>>16773825) am waiting for the hivemind to converge. You are noted as "No! REEEEEEEEEEEEE! [SCEAMINGPEPEFACE.JPG]".
Is there anything else you want to add to the conversation?
Anonymous No.16773924 >>16773928
>>16773916
The wikipedia page for natural numbers was graffitied less than two years ago to sometime exclude 0 instead of sometimes including it. We'll see who lives longer. Losers.
Anonymous No.16773927 >>16773933 >>16773969 >>16773969 >>16773973
>>16773211
>>16773580
>>16773796
>>16773834
>>16773838
Counting is the act of mapping a subset of {1,2,3,...} to your target set.
Indexing is the same act where the set {1,2,3,...} is replaced with any set.
Labelling is indexing with a set of alphanumeric strings which often contain metadata themselves (e.g. {soap, toothpaste, buttcream}, USA-005AR44X, a barcode).
Anonymous No.16773928 >>16773930
>>16773924
Again, no one cares. Take it to reddit of something.
Anonymous No.16773930
>>16773928
Go back to India, the H1B program is dead.
Anonymous No.16773933 >>16773938 >>16773973
>>16773927
That's all countable, go make India great again
Anonymous No.16773938 >>16773945
>>16773933
>mapping from the Reals to the target set is "counting"
Holy fucking shit. You complete and utter moron.
You absolute egg. You are a toof's fool, Humpty Dumpty! A Toof's Fool!
Anonymous No.16773945 >>16773969
>>16773938
You sound like an Indian trying to speak British.
>mapping from the Reals
When did that happen? Your brain is a fucking Indian shit river lol.
Anonymous No.16773969 >>16773973 >>16773975
>>16773945
>When did that happen?
How stupid is this bot?
See (>>16773927), "Indexing is the same act where the set {1,2,3,...} is replaced with any set." then see (>>16773927),"That's all countable".
Ergo, "the Reals are indexable" (true) would be "the Reals are countable" (laughably false) which is something only Humpty Dumpty himself would say and believe.
Anonymous No.16773970
>>16771958 (OP)
It's a pretty simple concept to grasp. Infinite exists.

Unrelated, but I fucking LOVE the movie that is the pic attached. Best Schizo film ever
Anonymous No.16773973 >>16773977
>>16773969
>then see ( >>16773927 (YOU) ),"That's all countable".
>>16773933, duh.
Anonymous No.16773975 >>16773987
>>16773969
You're so fucking stupid lol literally just go home and make India great again.
Anonymous No.16773977 >>16773987
>>16773973
Say that in math or english?
Anonymous No.16773987 >>16773988
>>16773975
>>16773977
>oh, shit
Kek
Anonymous No.16773988
>>16773987
>oh, shit
Where you gonna go now?
Anonymous No.16774002
>>16773825
The academic answer is that N starts at 1 unless otherwise adapted.
The street rat answer, forged by combat, is also that N starts at 1.
Anonymous No.16774018 >>16775989
>>16773875
>obtainable.
no need to obtain something both that already is and we already have
Anonymous No.16774020
>>16773825
already does as far as im concerned, peano might not need it(although it is nice if we do), but set theory sure as hell does
Anonymous No.16774110
I’m sorry about what happened to your thread, OP
bodhi No.16774119 >>16775134
pee pee poo poo
Anonymous No.16774193 >>16774276
Gentlemen please. I implore you to cease your pointless squabbling. Instead focus your engies on understating Mathematics in the way ordained by God. We of THE ONE TRUE FINITE FAITH welcome the righteous.
Anonymous No.16774276 >>16774985
>>16774193
only the god of islam is limited, the God of the Bible is limitless
Anonymous No.16774985 >>16774994
>>16774276
I’m an atheist.

BAM!
Anonymous No.16774994
>>16774985
Brown Action Mandated!
(by your own atheism)2yydv
Anonymous No.16775134
>>16774119
>poo poo
gaa-kaa boo-poo
Anonymous No.16775222
infinity as a number = humans too lazy to count to a finite number.

s'gayshit for n*ggertretards.

(its not real, nor necessary)
Anonymous No.16775228
>>16771958 (OP)
Not this shit again. OP you're one of the biggest faggots and you're parents are clearly failures since they raised you. I hope you die mate
Anonymous No.16775366 >>16775371
>>16773796
Not all countable sets are computably enumerable, bijections can be "infinitely complex" in a sense. Indices are better at capturing the more general mapping concept.
Anonymous No.16775371 >>16775987
>>16775366
How can you index something without putting it into a countable order?
Anonymous No.16775987
>>16775371
"Indexable" better captures that we're talking about whether we can assign a systematic labeling scheme, not whether we can actually finish some counting process. It emphasizes the existence of the bijection rather than any temporal process of enumeration.
Anonymous No.16775989 >>16776081
>>16774018
It's similar to how we might say a library's books are "catalogable" even if the catalog is infinite; we are describing the possibility of systematic organization, not claiming we could ever finish reading every book.
The mathematical community rarely changes established terminology though because it's run by arrogant insufferable retards.
Anonymous No.16776013
>>16771958 (OP)
Numbers don't exist in nature.
>>16772068
>calling people Shizo in leu of making any sort of quality post or just saging
I'm bumping this thread just to annoy you.
Anonymous No.16776036 >>16776229
The Universe is both discrete and finite.
We of THE ONE TRUE FINITE FAITH will fight to the end to ensure mathematics is the same.
Anonymous No.16776081 >>16776179
>>16775989
>The mathematical community rarely changes established terminology though because it's run by arrogant insufferable retards.
eh, i think it gives mathematics a "lived in" kind of feel, if i wanted a pristine & sterile system i'd go read about some constructed language
Anonymous No.16776179
>>16776081
The current terminology 'countable' reinforces the misconception that infinity is just a "really big number" rather than a fundamentally different mathematical concept. "Indexable" vs "non-indexable" would better convey that we're talking about structural properties of sets and their relationships to the natural numbers.
Anonymous No.16776229 >>16777784
>>16776036
nah, it's continuous AND finite
Anonymous No.16777784
>>16776229
finite and unbounded .... similar to how √(-1) appear in intermediate steps of solving a quadratic equation, but the final answers can still be real... e.g. Simple AC Circuit:

Total impedance: Z = R + iωL + 1/(iωC)

Current: I = V/Z (complex division)

Real power: P = |I|2 Ɨ R (imaginary parts don't contribute to real power)

The i (√(-1)) track phase relationships but disappear in the final power calculation