Whats the biggest number between 0 and 1?
Whats the biggest number between 0 and 1?
Connor Hall
Jason Thomas
.9999999999....etc MINUS .0000000000000000[infinity 0s]1
Nathaniel Morgan
How can there be a trailing 1 after infinite 0's?
Matthew Gray
Everything since the big bang perhaps
Xavier Wright
We simply don't know... yet. Maybe that can be what you research for your PHD!
Jaxon Adams
>what is an open set?
Isaiah Morgan
[math]\mathop {\sup }\limits_{x \in \left[ {0,1} \right)} x[/math]
Xavier Perry
Noah Baker
>assume there exists a largest real number between 0 and 1. call it a.
> 1 = a + (1-a)
>but a < a + (1-a)/2 < 1
>the number a + (1-a)/2 contradicts our assumption
>therefore there is no largest number between zero and 1
>Q.E.D.
Lincoln Nelson
1
Julian Long
since 0.999... equals 1, 2.999... equals 3, right? does that make 2.999... a prime number
Hudson Allen
a is 1 - epsilon where epsilon is defined as the smallest positive real number.
Luis Lewis
then what the hell is one-half-epsilon?
Brandon Powell
There isn't one.
Cooper Morris
>where epsilon is defined as the smallest positive real number
Prove that such a number exists. Pro tip: [spoiler]it literally is not possible.[/spoiler]
Luis Johnson
>Pro tip: [spoiler]it literally is not possible.[/spoiler]
what did he mean by this?
William Watson
-1/12
DUH.
Ryder Morales
I forgot Veeky Forums doesn't have spoilers.
Tyler Collins
>what is a sequence with order type greater than omega
Adrian Thompson
What's two times infinity?
I'm defining it as part of the number system by axiom.
Evan Murphy
>I'm defining it as part of the number system by axiom.
And are you at all interested in the question of whether the resulting system is consistent?
Ayden Green
Ok, we just add in the axiom "the real numbers with the minimal element epsilon are a consistent system". Problem solved.
Nolan Taylor
It's called nonstandard analysis, my man.
Justin Morgan
>implying infinity is a real number
>epsilon is reported to be a real number
>I am therefore able to operate on it with multiplication
we clearly aren't using the same system here
Nathan Wilson
No, it isn't. Nonstandard analysis still doesn't have a largest number smaller than 1, or a smallest number greater than zero.
Adam Richardson
>i'm going to meme about concepts I don't understand to avoid admitting I'm talking shit
this is just like the quantum physics threads here
Cameron Martinez
>triggered mathcuck
keep those (you)s coming
Lincoln Bennett
>I was only pretending to be retarded
brilliant. I have been defeated.
Angel Torres
Isn't 1 technically a 1 following an infinitely long sequence of zeroes before it?
Oliver Gutierrez
1
Isaiah Stewart
No.
Oliver Myers
Are you sure?
At any rate 1 after an infinite sequence of zeroes is just a 1 before an infinite sequence of zeroes read from the other direction.
Ethan Allen
No.
Alexander Richardson
at last i truly see