/sci/ - Science & Math

>>12427360
If you choose the right axiom system, I don't see why you couldn't have some epsilon>0 such that 0.999... + epsilon = 1.

I suspect you'd have to work in a completely different set theoretic axiomatization.
Since it seems to me if we had a set {9, 9.9, 9.99, 9.999, ....} which we say represents 9.999..., and a set {0.9, 0.99, 0.999,...} which we say represents 0.999... there is a bijection between these sets. So we can have x = 0.999... 10x = 9.999..., 9x = 9, x = 1.
I don't know how you would modify this to get rid of the 10x-x explanation, whilst also allowing 0.999... to exist

>>12427360
yes
https://en.wikipedia.org/wiki/Surreal_number

>>12427360
.999 is only equal to .9990000000000000000000

It is not even equal to .9990000000000000000001

>>12427400
where on that wikipedia page does it say 0.999... =/=1?

>>12427383
>I don't know how you would modify this to get rid of the 10x-x explanation, whilst also allowing 0.999... to exist
In that set, hypothetically, 0.(9)*10 would not be equal 9.(9) but equal to 9.(9)-0.(0)9 instead

>>12427360
It literally doesn't matter. This doesn't matter.
Reals are a meme, anything can be anything when you're dealing with meme made up rules

>>12427431
fk yourself aussietard

>>12427431
>meme made up rules
welcome to math

>>12427431
based
fuck reals
>>12427360
>0.999...=/=1
literally true.
all sets are finite I've proven this.

>>12427446
Prove the set of all natural numbers is finite

>>12427456
hitomi's number is the count limit for infinities.
Naturals end at h
and ""Reals(retard)"" end at h
though the requirement is infinite density. so it's finalism under infinity.

You'd have to define each "number" in terms of two numbers (a;ɑ), like the complex numbers.

>>12427483
>hitomi's number
wtf is that

>>12427489
Why so? Why do two axis for numbers allow for infinitesimally small numbers?

I asked my calc professor. He says it isn't. Are we done yet?

>>12427497
Not perpendicular axes in this case, they'd have to be parallel. The nines in 0.999... never end, so you'd have to express the infinitesimal value as a new string. The ordinal form would be ω+ω.

>>12427446
Let me prove otherwise:
The statement P="0.99...=/=1" is not true. Because of the law of excluded middle, the statement P is false. Therefore 0.99...=1. QED

0.0000...1 = 0.
Therefore .999... = 1.

>>12427570
retard
>>12427515
what would these two omegas be as an example?

>>12427588
>say something right
Get called stupid by an idiot.
Congrats dude you just said something wrong and pretended to be smart.

0.000...1 = 0.
.999...9 = 1.

It's all just dependent on how you want to look at it.

>>12427491
Count limiter.
Also you could construct a Natural number set that is perfectly infinite (as in unnaturally infinite), I call it Satan's unnatural set.
It's pretty gay though because it's the set of natural umber such that density is never infinite as it increases without bound.
which includes a finite element to it and also doesn't make sense. that's why it's unnatural and satanic.
Also because density is never infinite
as n exceeds without bound n/n+1 =/= 1 probably, because it the proof of infinite density.
despite being the discoverer of statan's unnatural and his unreals, I haven't done much work on them, because i'm so invested in hitomi's number.
I make threads about hitomi's number all the time.
basically 1/0

>>12427593
You are taking this discussion by face value because you dogmatically believe that 0.999...=1, even if it's right, you are a retard who can't even prove it. Whether 0.(9)=1 or not isn't the discussion we are having here. Maybe read OP for starters
Saying that the sky is blue regardless while people are discussing kantian metaphysics makes you a retard despite being right
Retard

>>12427613

Or maybe I'm just smarter than you.

If .999 = 1 then what is stopping a man from becoming a woman?

As you know, you will never be a woman.

>>12427588
Two infinite strings of digits, for example.
0.999... can never be any different than 1, but 0.999...;9[000...] could differ from 1 by 0.000...;1[000...]

>>12427627
Why does transgender discussion get forced on every single board constantly? Is this a raid against the entire internet?

>>12427643
You will never be a woman

>>12427649
I don't want to be. Stop forcing transgender discussion on every thread on every board because you political posters are a disease on the internet derailing off all discussions.

>>12427622
Nice gets of delusion, undergrad retard

>>12427639
Interdesting
Is there anything analogous to that in Mathematics?

>>12427658
0.000...1 = 0 because of the following proof. If the ... represents infinite 0s then you never reach 1 so the value is just 0.
Checkmate highschooler.

>>12427652
The fact that you will never be a woman is an example of why .999 will never be 1

This is perhaps the only proper usage of the tranny shitposting

>>12427670
Go back to (r)eddit.

>>12427665
That's not a proof moronic freshman
Go talk to your advisor in your shitty uni state

>>12427676
No u, also please dial 8.

>>12427663
If you search Lightstone semicolon you'll find similar concepts.

>>12427714
Cope. That's proof alright.