
#1
Feb1205, 02:03 AM

P: 239

x + x = 2x
infinity + infinity = 2 infinity (or) infinity xx=0 infinity * infinity = square of infinity (or) infinity 



#2
Feb1205, 02:28 AM

Sci Advisor
P: 131

0 + 0 = 0.
Absolute nothingness + This thread = .... 



#3
Feb2605, 11:09 AM

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+xx = x or?? in case of infinty we get x+xx != x weird.. but however.. its intresting stuf... have some other stuff i have thought of.. will post it another time....... 



#4
Feb2605, 11:20 AM

P: 16

infinity * infinity
since infinity is a proper subset of infinity+infinity, they can be put in onetoone correspondence to eachother, and are then the same "degree" of infinity, am I right?




#5
Feb2605, 11:41 AM

Emeritus
Sci Advisor
PF Gold
P: 16,101

Head... hurting...
None of this makes any sense until you adopt some definitions... and then once you have, it's clear how things work. 



#6
Feb2605, 11:46 AM

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. 



#7
Feb2605, 11:59 AM

P: 1,389

x=.9999999...............
10x=9.999999............. 10xx=9x=9.000000000000 x=1 thus 1=.99999999.............. 1/3=.33333...... 3(1/3)=3(.333333...........) 1=.999999999999999........ 



#8
Feb2605, 12:05 PM

P: 1,389

also how about this one:
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 



#9
Feb2605, 12:30 PM

P: 77

sorry, gravenewworld bu t i didnt umderstand......




#10
Feb2605, 12:58 PM

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?




#11
Feb2605, 01:12 PM

P: 1,389

Precisely kerbox




#12
Feb2705, 12:18 AM

Emeritus
Sci Advisor
PF Gold
P: 11,154





#13
Feb2705, 02:29 AM

P: 112

2xx=0
2x=x 2=1 ???? 1=0 ???? How about them mathimatics!! 



#14
Feb2705, 07:52 AM

P: 77

sorry to ruin your fun but your example doesnt work.. 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..) 



#15
Feb2805, 10:13 AM

P: 112





#16
Mar1305, 07:31 AM

P: 264

ax=x => a=1 or x=0 or x=infinity. so 2x=x => a=2 => x=0 or x=infinity. 



#17
Mar1305, 07:33 AM

Emeritus
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P: 16,101

However, there is no number called "infinity", so "x = 0 or x = infinity" is equivalent to "x = 0"!




#18
Mar2005, 08:36 AM

P: 19

Dirac. 


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