# Infinity * infinity

by chound
Tags: infinity
 P: 239 x + x = 2x infinity + infinity = 2 infinity (or) infinity x-x=0 infinity * infinity = square of infinity (or) infinity
 Sci Advisor P: 131 0 + 0 = 0. Absolute nothingness + This thread = ....
 P: 77 have though alot about zeros and infinities... not a very high level maybe, but hey, I'm just 17....:) about infinity + infinity = 2*infinity ? see it like this.. in a 1cm line, there are infinite many points ... in a 2cm line there is also infinite many points.... so if you have 2 1cm lines they will have infinite+infinite points, which is also infinite as the 2cm line also had infinite many points... hope I wasnt confusing..... and infinity * infinity = square of infinity ? you have a line of any length with infinite many points.. say 1cm again if you have four lines forming a square with, then, the area of 1cm^2 you will have infinite many points in the area...... so the lines of infinite many points, make a square with infinte * infinte many points in the square, which as said earlier his infinite.. so infinity * infinity = infinity.. I have some problem with infinity - infinity though... I have infiinity.... I add another infinity and get.. infinity.. so If i subtract infinity now, I should get ack to my original number or? so x+x-x = x or?? in case of infinty we get x+x-x != x weird.. but however.. its intresting stuf... have some other stuff i have thought of.. will post it another time.......
 P: 16 Infinity * infinity since infinity is a proper subset of infinity+infinity, they can be put in one-to-one correspondence to eachother, and are then the same "degree" of infinity, am I right?
 Emeritus Sci Advisor PF Gold P: 16,091 Head... hurting... None of this makes any sense until you adopt some definitions... and then once you have, it's clear how things work.
 P: 496 Infinity is not a number, it is a mathematical concept. The reason it isn't a number is because for ever number at 'infinity' there is always a number that is greater than it. It doesn't make very much sense to use the concept of infinity as a mathematical operator. Limits are the best way to show this correlation. If something is unbounded then it is useless to try to find a maximum number for Infinity.
 P: 1,410 x=.9999999............... 10x=9.999999............. 10x-x=9x=9.000000000000 x=1 thus 1=.99999999.............. 1/3=.33333...... 3(1/3)=3(.333333...........) 1=.999999999999999........
P: 1,410
construct a right triangle, say a triangle with sides=1 and with hypotenuse sqrt(2). obviously sqrt(2)>1, how then can all the points on the side that has length of sqrt(2) be matched to all the points on the line that has length 1 like shown in the picture? this problem mystified Leibniz
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 P: 77 sorry, gravenewworld bu t i didnt umderstand......
 P: 16 I believe he tried to illustrate that a line twice as long can be projected down on the first line as if two sides of a triangle, and you can match up each point on one line to each one on the other... therefore, they must have equal number of points?
 P: 1,410 Precisely kerbox
Emeritus
PF Gold
P: 11,155
 Quote by Kerbox since infinity is a proper subset of infinity+infinity, they can be put in one-to-one correspondence to eachother, and are then the same "degree" of infinity, am I right?
$$\mathbb{Z} \subset \mathbb{R}$$, no ?
 P: 112 2x-x=0 2x=x 2=1 ???? -1=0 ???? How about them mathimatics!!
P: 77
 Quote by derekmohammed 2x-x=0 2x=x 2=1 ???? -1=0 ???? How about them mathimatics!!

2x=x is ONLY true for 0 and infinity...
so when you have 2x=x and divide by x to get 2=1,
you actually divide by 0 or infinity. And as divison by 0 and infinity is undefined your conclusion is invalid...:)

just rememebered a quote by J.Baylock....
"If you want somone to hate you, explain to them, logically and politely, why they are wrong"

a funny thing of division of 0's can be demonstrated in this way (thought it myself, but someone else may have done it)

0*0=0
divide by 0 at both sides and you get
0=0/0

so is 0/0 equal to 0???

nonono

1*0=0
divide by 0 at both sides and you get
1=0/0
hihi

2*0=0
divide by 0 at both sides and you get
2=0/0
hihi

3*0=0
divide by 0 at both sides and you get
3=0/0
hihi

can cnotinue as long as I want... (or maybe not til infinity..)
P: 112
 Quote by chound x + x = 2x infinity + infinity = 2 infinity (or) infinity x-x=0 infinity * infinity = square of infinity (or) infinity
I was refering to this... They give nonsence I give nonsence!
P: 264
 Quote by derekmohammed 2x-x=0 2x=x 2=1 ???? -1=0 ???? How about them mathimatics!!
I prefer to think of it like this:

ax=x => a=1 or x=0 or x=infinity.

so 2x=x => a=2 => x=0 or x=infinity.
 Emeritus Sci Advisor PF Gold P: 16,091 However, there is no number called "infinity", so "x = 0 or x = infinity" is equivalent to "x = 0"!
P: 19
 Quote by chound x + x = 2x infinity + infinity = 2 infinity (or) infinity x-x=0 infinity * infinity = square of infinity (or) infinity
Infinity is not a number.

Dirac.

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