/sci/ - Science & Math

>>7966949
>>7966952

>>7966956

>>7966959

>>7966962

>>7966962
That's actually really sad

>>7966964

>>7966966

>>7966965

isnt 1/0 undefined?

>lim does not mean 0

then 0.999... doesn't equal 1?

>>7966968

>>7966965
>that filename
baito-desu ^_^

>>7966972

>>7966973
I'm on a windows phone

>>7966969
u wot?

>>7966974

>>7966979

>>7966980

>>7966983

>>7966986

>>7966987

>>7966949
>yfw its not an exact solution

such rounding error
wow
no maths

>>7966988

>>7966997

>>7966999

>>7967001

>>7967002

>>7967004

>>7966949
https://en.wikipedia.org/wiki/Polynomial_interpolation

>>7966959
>this is a sound guide to global economic policy
Kek

>>7966962
>qualified engineer
Maybe he had thrown a dildo on the floor and was trying to get maximum penetration

>>7966988
mfw this quote is actually true

>>7967127
>https://en.wikipedia.org/wiki/Polynomial_interpolation
only funny part:
>nuremberg scientific trials

>>7966997

>prince

this will never not crack me up

>implying analysis is rigorous

>>7967243

>>7967245

>>7967005

>>7967249

Will climate change actually kill us all in the next 100 years, there is pollution and mass extinction. What do you think?

>>7966932
i dont get your pic OP .alchemy and megic and that shit dosnt qualify as a theory . i cant be falsifably tested and dosnt make measurable predictions .
so you cant say 'teach both theories' since only one of them is even a theory . if you do have two theories that the differences in their predictions weren't tested yet like all the string theories and supersymmetry and shit like that then you could teach both .

>>7966959
but that's actually correct .assuming an infinite sample space you shouldn't pull it .

>>7966969
you are correct. 1/0 is a meaningless statement .
>lim does not mean 0
no, a limit means a limit of a function at a point .
>then 0.999... doesn't equal 1?
0.999... repeating with an infinite number of 9 digits equals exactly 1 . there is no real number greater then 0.999.... and lesser then 1 .

>>7967264
>real number
>being this obtuse

>All such interpretations of "0.999…" are infinitely close to 1. Ian Stewart characterizes this interpretation as an "entirely reasonable" way to rigorously justify the intuition that "there's a little bit missing" from 1 in 0.999….

>>7967254
It's referring to creationism bruh

>>7967259
But that's fucking wrong because in the thought experiment you already know the conditions for the situation. You know what actions will come about because that's how you set up the thought experiment. You're disagreeing with your own axioms for the conceptual scheme.

>>7967264
0.999... is not a real number either.

>>7967310
Why the fuck wouldn't it be?

0.999.. = 0.33..*3 = 1/3 * 3 = 1

Is 1 not a real number?

Also, if you had paid attention in class, you would know that every periodic number can be expressed as a rational number

>>7967321
Yes, the limit for n->inf is 1, but the function never reaches 1 no matter how high n gets

>>7967325
Precisely, and since infinity isn't a member of the reals that term never reaches zero, only approaching it asymptotically, despite its limit being zero. Conclusion: .999.... is only asymptotically close to 1, unless you extend the reals to include infinity.

>>7967326
Your function value is 1-10^(-n), not 0.999...

1-10^(-n) will never equal 0.999..., but it's limit does, and the limit is 1

>>7967344
Nah bro .99.. is simply the number immediately preceding 1.

>>7967351
Between every two different real numbers there are infinite other real numbers

1 and 0.99.. can not be different numbers

>>7967372
>Between every two different real numbers there are infinite other real numbers
I would say instead that between any two measurably separate real numbers there are infinite other real numbers. .99.. and 1 are not measurably separate but right next to each other.

>>7967002
kek, I remember this thread.

>>7967414
>I would say
no one cares about what you have to say on this, frankly. we use real numbers, not whatever you're imagining

>>7967247
Fake

There aren't 17 months in a year

>>7966962
didn't they find out that the university doesn't even have a physics department?

my favourite kind of thread

>>7966983
what book?

>>7966949
Sooooooo

This pic is suggesting that there are infinite possible answers?

>>7966949
>math is incorrect

>>7966983
legit cringed

>>7968627
yup
think about it: the function is only limited for x between 1 and 4. outside of it there is no restriction

>>7968627
You could pick any number for the last slot and cook up a polynomial that passes through each point. This is called interpolation, and it's actually not difficult.

>>7967302
There are no infinitely small reals which could fill that gap, of there were one

Best study ever: http://www.improbable.com/airchives/classical/cat/cat.html

>>7968797
>There are no infinitely small reals which could fill that gap, of there were one
I'm actually not saying there is a gap, but that they're right next to each other

>>7968839
I can't wait til my cat drops by again

>>7967127
Is he saying that god is real or something?

>>7969012
He also didn't say that.

He also wasn't in the Nuremberg trials, which were about Nazi human experimentation during WWII.

Did you read the title of the thread?

>>7969012
it's your typical facebook-tier "checkmate atheists"

>>7969039
Most atheist are cringy.

>>7968797
>he doesn't understand what an infinitesimal is

>>7967587
Just go to their website and try to find it. Not there. Place is a meme university, and it's no surprise he couldn't find a job.

>>7967310
.99999.... is a real number, it's one, written differently.

>>7969099
dubs confirms

>>7968839
>Seuss, Doctor, "Feline Responses to Hats," in Veterinary Developmental Studies, July 1955, vol. 32, no. 7, pp. 54-62.
according to wiki, the book was published 1957. Was there an actual real study researching cats in hats?

>>7966966
Does the lower end of that stick phase through the bridge?

>>7969301
Holy shit it actually does

>>7969049
*tips kippa*

If I wanted humor ID ask for the name of your college

>>7969301
>Does the lower end of that stick phase through the bridge?
No you mong.

>>7969373
If I wanted humour, I'd ask for your GPA

>>7969049
[citation needed]

>>7968917
"right next to each other" doesn't exist in real numbers

>>7969536
>still using reals

>>7966959

>>7969536
It doesn't exist in rational numbers either, what's your point?

>>7969595
The point is that there is no difference between 1 and 0.999..

You could have easily figured this out by following the reply chain

>>7967259
>Infinite sample space means everything has equal, infinitesimal chance of occuring
nah son

>>7969387
But it does you nigger

>>7968917
Ok your trollin now son, best be

>>7969760
Is that supposed to be funny?

>>7966932
The idea is that Christians treat creationism as an equally valid theory versus Evolution.

>>7969867
Sorry, meant
>>7967254

>>7969813
Yes, but only half of the time

>>7970001
Kekd

>>7966965
it's actually either possitive infinity or negative infinity, depending on the direction from which x approaches 8.

when did we become weeb reddit?

>>7967252
lmfaoo

>>7967588
lol this is terrible

can someone post the sci guy not associating with comp sci guy

>>7967537
Either bait or pretty damn retarded.

>>7969482
>>7969320
Oh look, there they go

>>7970859
>tfw no slightly homo algebraic topology bro to shower with

This thread goes a long way towards explaining the current state of /sci/.

>>7971279
Meh, this has been one of the better threads that I've seen lately. Much better than the IQ and consciousness pseudoscience threads.

>>7971291
>consciousness pseudoscience threads
Are they still doing those? Fuck, I thought those things had finally died off.

>>7967244
I've got another version of this. Anyone know who these people are?

>>7969760
>>7969813
>>7970001
>>7970011
Here's a better version

>>7970812
Don't know what you're talking about, but I have this

>>7971212
>tfw no slightly topo algebraic homology bro to shower with

>>7966969
The limit of 1/x for an x that twlends towards 0 very much is defined.

>>7967254
>>7967254
>i dont get your pic OP .alchemy and megic and that shit dosnt qualify as a theory . i cant be falsifably tested and dosnt make measurable predictions .
Why not?

>>7967326
https://en.wikipedia.org/wiki/0.999...?wprov=sfla1

High school must be hard for you, huh?

>>7971314
>>7971291
>Pseudoscience
/his/ here, fuck off, qualia is very real, and scientificism/logical positivism are autistic debunked theories.

>>7969592
fucking lel

>>7967250
i don't get it

>>7971452
Check out this illuminating paper: http://www.scribd.com/doc/233602815/Barnetts-Identity-Pdf1#scribd

>>7971444
>qualia is very real
No it's not, or at least not in the sense you mean. Qualia are no more significant than pic related.

>>7971648
Spoopy.

>>7971648
The solution is to throw the Ramirez inside out the airlock and leave the other one outside. Sure, you kill one dude, but at least you don't bring the apocalypse back to the surface.

>>7971657
Erm... What's pic related?

>>7971460
>In order for vortex equations on moduli spaces of Zn orbifolds with N = 1 spacetime supersymmetry of hyper-Kahler Hirzebruch surfacesfibered over a lens space to be gauge mediated, one requires...

Was this text generated by a computer? This is literally the kind of bullshit you get out of scigen (https://pdos.csail.mit.edu/archive/scigen/).).

>>7971846
>Erm... What's pic related?
What a self-driving car is "seeing"

>>7971855
Look at the big brain on brad

>>7972006
Brad? But you responded to Naomi

http://snarxiv.org/vs-arxiv/

>>7967244
>say all of modern maths is not rigorous
>define naturals as strokes on board

>>7969049
>mfw nobody refers to themselves as atheist in the UK because it's the norm.

>>7972055
pic related

>>7966972

Testing. Ignore this post.

>>7973426
fuck

>>7966968
kek. top kek

>>7973308
I don't know where you live but at my university the vast majority of the people I know are atheists. I feel like it's rude to talk about religion over here

>>7973308
Well yeah, I worded it badly. Most people here are atheists too but they don't shout about it like some cringey americans do, because everyone else is atheist too

>>7973518
>I feel like it's rude to talk about religion over here
Why?

>>7973741
it's probably just me but if someone starts talking about religion or politics I find it kind of rude. I don't find those kind of conversations particularly go anywhere

>>7973751
I have a friend who just starts conversations about atheism and feminism when it's quiet

He's pretty fat too

>>7973308
Feels good not to be in Bible belt burgerland tbqh

>>7973308
>filename
That's not an alien. That'd Dr. Manhattan.

>>7971452
Riemann zeta function shows that the sum of the natural numbers is -1/12.

>>7966949
Isn't it implied that the sequence will only have integer, or at least rational, values? Does that function give a rational value for every 'n'?

>>7973919
No it's not. It's a particularly dank breed of meme known as a 'rare pepe'.

>>7973693
This was meant for
>>7973518

>>7973990
Of course, why wouldn't it?

>>7966990
This is wrong by the way, there is no rounding involved

>>7969301
what? do you think the dog took that much time to figure out some simple geometry? he was doing high level physics to achieve the phase

>>7966965
The limit as x approaches zero is undefined since we have not defined the direction we are approaching from. If positive, the infinity. If negative, then negative infinity. Because these limits are different, x=8 leaves that expression undefined.

>>7971800
You'll be killing 2 guys

>>7974870
one of them isn't supposed to exist so it be just one guy involuntarily taking one for the team which might just be all of humanity.

>>7973990
Why would adding and multiplying a bunch of rational numbers ever give you an irrational number?

>>7966932
We have the post-modern camp that reigns supreme, they assert we have free will.
Then we have the biological determinists who believe in evolutionary psychology,
and behavioral determinism, we're underrepresented in uni:s all over the world.

>>7976626
Because your theory is less fun to speculate with.

>>7973308
>Pepe_Alien.jpg
That's supposed to be the pepe version of Doctor Manhattan you dumb fuck.

>>7977644

>>7977645

>>7977646

>>7977650

>>7977652

>>7966932
Chemistry was the realization of alchemy.
Neurology was the realization of phrenology.
Magic has nothing to do with physics.

Astrology has nothing to do with astronomy except for it involving stars. The objective of astrology is to learn things about people using the stars. The objective of astronomy is strictly to learn about the things in space.

>>7977662
that was original

>>7966962

>BEng and Ph.D by 31
>cant find a job
wew lad

>>7971460
Holy fuck, which one of you faggots wrote this, Im in tears

>>7977667
Astronomy in modern times isn't terribly different from the voodoo astronomy of greek times.
Plebes and patricians alike trying to figure out what the fuck those glowing shits are to the best of their knowledge.
Only we have rockets and big fancy optics.

>>7966959

>>7966959
Do I misunderstand something?

The trolley's path untouched is going to go either.... A or B.... or go through C anyway.
The trolley's path touched is going to go through A or B... or go through C anyway

So it shouldn't matter if you pull something or not. But the graphic says you shouldn't pull it. Why?

>>7976869
How can you be so fucking new.

>>7977969
What if it does the multi track drifting thing in this case?

>>7971444
>/his/ here
>qualia is real

>>7977969
Needs more artifacts

>>7970001

>>7977969
Kek

>>7978099
The problem says we also don't know if it'll do something else. For all we know the lever will make the trolley explode.

Can't attest to the accuracy of the metaphor though.

>>7971657
>Qualia is real
Show me a qualia. That's right, you can't, by the very definition of the term.

>>7978428
Show me an economy.
Show me chaos.
Show me personality.
Show me a society.

https://en.wikipedia.org/wiki/Emergence

>>7978965
Those are all qualia. A mentally retarded person can't even begin to conceptualize any of those concepts.

Mathematical objects are also qualia, as is any understanding.

Even physical objects are qualia -- as Heisenberg said, "We have to remember that what we observe is not nature herself, but nature exposed to our method of questioning." Replacing "questioning" with "perception", we arrive at the claim.

This is why I hate philosophy.

>>7966952
why I'm laughing so hard

>>7966932
znorted

>>7967537
what is european time?

>>7966997
>snake charmer
every time

>>7979172
>chaos
> economy
> society

> those are qualia
> those are individual instances of subjective, conscious experience

I think you are confusing the word experience with other forms of aprehension, such as reason, through which, although no direct experience was ever had, we may concieve the idea of something beyond perception. For instance, a black dolphin.

Mentally retarded people also have qualia.

Do you hate philosophy because you are convinced you see things from a mathemathically, rationally pure point of view?

>>7971444
autistic bait,

>>7966968
top notch quality /sci/ material

>>7967321
>type in 1/9 on calculator
>multiply result by 9
> look guiseXD
> 9/9 = 0.99999999999999999999
> calculator said it, so it must be tru
>XD
engineer.

>>7979218
What is bait

>>7977969
fucking lost 1e2%

>>7979265
>Do you hate philosophy because you are convinced you see things from a mathematically, rationally pure point of view?

You think I'm euphoric? I just find its ultimate end gibberish. You can claim and justify anything with philosophy.

Actually, perhaps a more accurate statement would be, "I seem to be able to conclude any form of gibberish with philosophy."

Nevertheless, I love listening to and reading philosophers. Real philosophers, the brilliant kind. However, I love it the same way I love poetry.

>>7979275
Not the one on my lumia

>>7979396
Yeah, that's not how any modern calculators work.
Real computers do math in base 2 and display the results in base 10 after rounding to display sigfigs.

>>7979361
You can claim anything with philosophy in the same way you can try to model anything with math.
The brilliant kind like the analytics?

>>7979450
Modelling things with math isn't math.

Math is formal definitions, proofs, and theorems.

>>7979469
It is applied math.
Just like spewing garbage is applied philosophy.
Pure philosophy would be metaphysics and logic.

>>7967588
I don't get it.

>>7966997
What website is that? It has a "Size:" option.

>>7967252
Now the qt ayy lmao girls won't have anything to do with you, genius.

>>7971406
False. In order for a limit to be defined both the left-hand and right-hand limits must be equal. Literally Calc 1

>>7969301
>>7969302
Watch the video. It's even more awesome.
https://www.youtube.com/watch?v=O-UVkVG6bC4

The end of the stick is a bit bent at some angle, so it appears to just slide past the wood you're talking about.

>>7977662
Observing him would only put him into an eigenstate. There'd be no more changes on observation after that...

>>7969037
They were also about other war crimes, most of the notorious human experimenters weren't even present

>>7970859
R^2 - 0 is not homeomorphic to S^1, though.
They are homotopy equivalent.

>>7966962
I guess he had potential , now he doesn't.

>>7967588
I only learned this a year ago and I still find this funny.

But nonetheless, it's a forced meme

>>7980560

>>7967250
This one is my favorite

>>7980560

>>7967264
>there is no integer greater than 2 and lesser than 3, therefore 2 = 3

>>7980665

https://en.wikipedia.org/wiki/0.999......

Stop pretending to be smart.

>>7982181
the fact that what you're trying to prove is true doesn't mean your "proof" isn't absolute garbage. prove it right or fuck off

>>7978099
Read the last line. It's a joke

>>7967259
>assuming an infinite sample space
But only a complete autistic retard would assume something like this.

>>7982310
Why ????

>be humanitiesfag
>constantly encounter the outer fringes of maths in a hundred different branches of philosophy, from analytics to metaphysics
>be amazed by the mystical potential of maths being the language of reality itself
>be slightly in awe of STEMfags and assume they tap into this majesty through hard work, and humanitiesfags like me are missing out
>start learning maths
>it's fucking tough
>get to the point where I can just barely understand higher order university-level stuff
>eagerly start talking to esteemed, visionary, world-famous mathematicians at my university
>mfw I realize they are all complete, intuitive materialists in their outlook
>mfw they don't grasp an iota of the mystical or metaphysical aspects of higher maths
>mfw they don't even really understand what the concreteness of mathematical laws imply, and spend most of their time playing at meaningless quantitative number puzzles
>mfw even professional scientists are childlike retards who are genuinely content with puerile, reductionist accounts of the nature of reality
>mfw the vast majority of high level STEM people are ignorant of other branches of their own field, let alone other fields or disciplines altogether
>mfw the luminaries of STEM are the biggest reservoir of literally autistic toy collectors in the world
>mfw the vast majority are just average dumb normalfags aside from their single hyper-focused academic specialty
>mfw they don't read books (at all)
>mfw it is actually staggering how stupid they are in every single respect other than knowing one specific kind of maths really well
>mfw totally disillusioned
>mfw realising after all that work that maths isn't even the language of reality but a closed and self-referential puzzlebox for autistic fucking faggots

>>7982397
>>mfw I realize they are all complete, intuitive materialists in their outlook
>>mfw they don't grasp an iota of the mystical or metaphysical aspects of higher maths
>>mfw they don't even really understand what the concreteness of mathematical laws imply, and spend most of their time playing at meaningless quantitative number puzzles
>>mfw even professional scientists are childlike retards who are genuinely content with puerile, reductionist accounts of the nature of reality

This is just a consequence of them living in an unfortunately secular/irreligious society. Historically, the intellectual class (including scientists) weren't materialists.

But don't let that deter you from doing math.

>>7982397
Surprise surprise, most people are just monkeys playing in the branches of a great tree. To /sci/, you must first /lit/.

>>7982397
Talk to finance or businessfags then.

>>7982524

This will forever be underappreciated

>>7982524
I've seen this a million times but i've never understood this

>>7982601
it's called the game of life

>>7980665
>real numbers have to be integers

>>7982397
>mystical or metaphysics aspects of higher maths
Opinion dropped desu

>>7966959
Pffffffttttthahahahahahahahaha

>>7982414
>>7982501
Fuck off

>>7966974
I can't believe this comic actually exists.

>>7971380
If this post gets Dubs, that's the official response to the recent influx of probability threads

>>7982688
Boom

>>7976515
I find this reasoning sound.

>>7982669
There's no point in being an innumerate philosopher or illiterate mathematician.

>>7982538
>it even wraps
It's hard, Turing at the wrong kind of state bit.

>>7967588
has someone the variation where he remembers his murders?

>>7973957
Isn't that still unproved?
Its one of the millennium prizes

>>7982844
The series was proven by Ramanujan a long ass time ago. The proof of the reimann hypothesis, witch has to do with 0s of the zeta function, is the millennium prize problem.

>>7966932

>>7971444
>qualia
You are a meat computer processing data with small electrical impulses and chemical reactions using complex protein structures.

Thats is all you are.

>>7980665
All you're doing is proving you're a retard

If you had attended a single Calculus or Analysis class, you would know that it's easily provable that for any two not-equal real numbers it is possible to construct a number that lies between the two (thus effectively proving that there are infinitely many real numbers between any two unique real numbers)

Now stop posting about things you don't understand

>>7982714
>There's no point in being a philosopher
Fixed

>>7983559
Philosopher here. Can confirm there's no point.

>>7983559
I bet you like skub as well

《 | + /omega = 《w|

>>7983514
How about e and pie, retard? They're unrational so you can't do that. Fuck off with your bullshit.

>>7966932
> What do you call a BS in Psychology?
Psychology 101 :^)

>>7973912
I lost i simply can't stop laughing

This girl I know who is teaching a class about math to middle schoolers (we're undergrads, her degree is math education) had this in her slides, shaking my head

>>7985144
At least she's teaching the controversy. The students that actually care will realize she's wrong.

>>7966968
jesus christ this is an amalgamation of shit
>.9999999 = 1
>1 + 2 + 3 + ... = -1/12
>Barnett autist
>Perelman

Btw is that something that that retard actually wrote?

>>7985162
>actually wrote?
Check which thread you're in.

>>7985156
she's trying to teach maths based on certain things from movies, this particular one is from that John Green movie where there's something about how one infinity is greater than the other and explaining how you can't think about infinity in the same regard you think about "normal numbers"

I guess I see her point but this was a bad example

>>7978099
we don't know where the train is going at with the lever untouched I suppose...

>>7984961
Wrong

You could have easily googled this instead of making yourself look stupid

>>7985679
I Google it and irattionals have infinite decimals that can't be counted. You can only calculate by rounding to numbers so you can't compare it's form with real numbers. You're a fucking moron.

>>7985735
>I Google it and irattionals have infinite decimals that can't be counted. You can only calculate by rounding to numbers so you can't compare it's form with real numbers.
First off, irrational numbers ARE real numbers

Secondly, you can compare rational numbers to irrational numbers, otherwise you wouldn't even be able to place any irrational number on a number line in between rational numbers

Thirdly, the definition for the equality of two real numbers (lets call them a and b) is that if you write them out digit by digit (in finite form if possible), there exists some digit where they differ

>>7966969
>he doesn't know epsilon-delta

>>7982632
this is a humor thread, remember?

>>7982524
holy fucking kek

>>7983234
Those are great.

>>7971422
>wiki page

What a bunch of autistic horseshit mathematicians make up. They should be doing something more useful with their lives.

>>7968839
Boone (1958) found inconclusive results in studying feline reactions to clean-shaven men. O'Connor and Brynner (1990) found inconclusive results in studying feline reactions to shaven heads. Quant (1965) found inconclusive results in studying feline reactions to bangs. Seuss (1955) found inconclusive results in studying feline reactions to hats. Ciccone (1986) found inconclusive results in studying feline reactions to hairy legs. Other related studies (Smith/Brothers 1972, Conroy 1987, Schwartzenegger 1983) have since been retracted because the investigators were not able to reproduce their results.

Norquist (1988) performed a series of experiments in which cats were exposed to photographs of Robert Bork[1] (not pictured here), a man whose beard is confined largely to the underside of the jaw. After viewing the Bork photograph, 26% of the cats exhibited paralysis of the legs and body, including the neck. An additional 31% of the cats exposed to the Bork photograph showed other types of severe neurological and/or pulmocardial distress and/or exhibited extremely violent behavior. Because of this, we did not include a photograph of this type of bearded man in our study.

>>7971369
N.J. Wildberger
Math professor that insists on a variation of ultrafinitism ergo "math without reals"

>>7985988
She so kawaii

>>7982688
The digits have spoken

>>7966964
I get what the joke's supposed to be but it doesn't actually make sense.

>>7987347
>it doesn't actually make sense
Check which thread you're in.

>>7966986
Imagine if one's memory were encoded in DNA strands. Limitless capacity to learn.

>>7984509
You can't know that though :^)

>>7987347
Woman detected

>>7967243
evergreen

>>7967127
well... actually we decided that the freezing temperature of water is 0 degree and the boiling point is 100 degree... water boils and freezes when it happens to, we just built our measurement system basing on this phenomena, right?

>>7966968
>triple integrals
check
>-1/12
check
>Set theory
check

The meme is strong with this one

>>7988545
Well done for explaining the joke

>>7988545
Ur so smart anon. I wanna be liek you wen I grow up.

>>7979275
But it is.

>>7966968
most triggering thing about this is the order on the complex field

>>7989113
well the right hand side is a real number.


but it would be funny to extend it to include such a thing

>>7967537
you're post is fake m8
there aren't years in a month

>>7984961
>>7984961
What the fuck are you on about?

You can easily find numbers between irrationals, you know what's between e and pi? e+0.1

>>7966956
Simple. Turn around and pull the lever, you dumb idiot.

>>7971444
Qualia are only real in the sense that a specific pattern of firing and non-firing neurons represent a specific thought.

>>7977969
The Hedonist's Dilemma

>>7966969
>>7985866
Let M>0 be given, and take δ=M. Then |x-8| < δ implies |x-8|<M => |1/(x-8)|>M

>>7989537
δ=1/M *, woops

>>7985144

Agree with >>7985156, either some smartass will correct her or no one will remember this in a week anyway.

>>7985183
But one infinity can be larger than another. Countably and uncountably infinite are things.

>>7966966
Checked and kekd

>>7967326
0.999... is not a function. It is shorthand for the equivalence class [(0,0.9,0.99,0.99,...)] in the metric completion of the rationals.

>>7984961
>unrational
Kek

>>7985790
The equality definition is wrong, it suggests 1.000000...=/=0.99999...

>>7966986
this site was 9gag tier back then