/sci/ - Science & Math

Define "larger".

One's just approaching infinity faster than the other.

It's not "clearly" larger. It's clearly the same size to me.

>>1580920
>>1580920
>>1580920
>>1580920
>>1580920
>>1580920
>>1580920

>>1580918

But you can't approach infinity faster.....

That is not possible.

larger in sum or in the "length" of the series?

...shit can approach infinity faster than something else heh

If you want a paradox, discuss something like what happens at infinity; not the growth of two sets of number as they approach it

>>1580929

the sum, duh

>>1580918
OP, don't troll stupid people who haven't studied number theory.
There exists an isomorphism between the two sets, they are the same cardinality (Aleph null).

1000000000000000000000000000000 is just as close to infinity as 1 is

>he thinks infinity is a number

Mindfuck:
1 and Graham's number have equal distance to infinity.

>>1580925
Actually you can.
for instance with y=x^2 and z=x, y reaches infinity "faster" than z as x increases (or decreases, or course you'd get negative infinity with z in that case).

>>1580932

And what, may I ask, the fuck is "at infinity"?

>discuss something like what happens at infinity

ugh, the stupidity in this thread is unbelievable.
http://en.wikipedia.org/wiki/Aleph_number
even most of you should be able to understand this.

There are infinitys of different sizes. The series of all even positive even integers is half of all even integers but there's an infinite amount of both of them

>>1580952

Before your post it's ignorance. After your post it's stupidity.

>>1580953
There are different sizes of infinities. But The cardinality of the evens is the same as the cardinality of the integers.

>different sizes of infinities
>cardinality is the same

...Ugh. Where to begin with this one.

>>1580965
Learn to read. I merely said that different sizes of infinity exist. In fact there are an infinity amount of infinities.

>>1580979
¿Que?

>>1580979

And then a final infinity which is God.

>>1580919
They can never approach infinity. They're both "approaching" infinity at the same speed, which is not at all.

>>1580987
The carnality of the reals is greater than the cardinality of the naturals.

Both are infinite sets. One is "bigger".

The concept of infinity is beyond human understanding. I don't know why anyone wastes their time on it.

>>1580999
Have you ever taken a calculus class?

>>1580960
Infinity has no size to begin with. That's why it's infinity.

>>1581017
No it isn't. Mathematicians spend lots of time studying its properties and they do have a fairly good understanding. Most people can have a basic understanding too.

>>1581006
If either has size, then it is finite, not infinite.

>>1581028
>Doesn't know definition of infinity

>>1580935
Bijection, not isomorphism.

If I understand correctly, infinity also has no beginning. The numbers should go:
....1, 2, 3, 4, 5....
....1, 4, 9, 16, 25....
in order to be infinite sequences. Otherwise they are endless. Which makes me wonder if the numbers in the sequence are even possible.

>>1581023
>>1581028
Isn't it passed your bed time? Don't try to talk about math without knowing simple definitions.

Dammit, sci. Read about cardinal numbers.

>>1581034
Actually, yes, I do.

http://dictionary.reference.com/browse/Infinite

You can't put a "size" on infinity, or try measuring it, because by definition, it is boundless.

they're just different lists describing the same line.

>>1581023

>>1581059
Wow, just wow.

>>1581059
sigh. Mathematical definitions please. Look up countable and uncountable infinities as well as take a class in set theory.

Bet you think .999... =/= 1.

>>1581061
Can't say anything to that, huh? Yeah, that's what I thought.

>>1581074
There's no such thing as a countable infinity.

http://en.wikipedia.org/wiki/Cardinality_of_the_continuum
>In mathematics, the cardinality of the continuum, sometimes also called the power of the continuum, is the size (cardinality) of the set of real numbers

>>1581073

>>1581023
Its size is infinite. That's why it's infinity.

>>1581080
0/10

(referring to your knowledge of math vocabulary)

>>1581086
>I'm a bad troll

>>1581080
http://en.wikipedia.org/wiki/Countable_infinity

>>1581078
>I only post reaction images to argue
Cool story, brah.

>>1581100

>>1581093
>Implying that infinity could be finite
No.

>>1581103
>Now I'm just being retarded

>>1581104
yes

>>1581104

That's not what countable infinity means. Did you read the article?

>>1581107

>>1581112
Now I've decided to provide this genious with moar Babby pictures

>>1581112
>Now I've decided to provide this genius with moar Babby pictures

>>1581119

trolling is an science

>>1581111
I sure did. It didn't explain to me what the difference between "countable infinity" and "finite" is.

>>1581122
How many of those pictures do you have? No, really.

>>1581122
Keep 'em coming, hun.

>>1581128
Countable means it can be put in one-to-one correpsondence with the natural numbers 1,2,3,... (of which there are an infinite number).

lrn2math

>>1581125
i get it

>>1581131

Well then, this is going to blow your mind right the fuck out of your mind:

The set of all integers is just as big as the set of all fractions. Yes, there are an infinite amount of fractions between every pair of distinct integers (hell, an infinite amount of fractions between fractions), but their sets have equal cardinality.

>>1581142
MOAR!

cardinality of a set approaching infinity is dumb

stop

babby time

sure is troll in here

>>1581157
That's what I think of Cantor