| Thread Closed |
Infinity |
Share Thread |
| Feb12-05, 02:03 AM | #1 |
|
|
Infinity
x + x = 2x
infinity + infinity = 2 infinity (or) infinity x-x=0 infinity * infinity = square of infinity (or) infinity
|
| Feb12-05, 02:28 AM | #2 |
|
Recognitions:
|
0 + 0 = 0.
Absolute nothingness + This thread = .... |
| Feb26-05, 11:09 AM | #3 |
|
|
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....... |
| Feb26-05, 11:20 AM | #4 |
|
|
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?
|
| Feb26-05, 11:41 AM | #5 |
|
|
Head... hurting...
![]() None of this makes any sense until you adopt some definitions... and then once you have, it's clear how things work. |
| Feb26-05, 11:46 AM | #6 |
|
|
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. |
| Feb26-05, 11:59 AM | #7 |
|
|
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........ |
| Feb26-05, 12:05 PM | #8 |
|
|
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 |
| Feb26-05, 12:30 PM | #9 |
|
|
sorry, gravenewworld bu t i didnt umderstand......
|
| Feb26-05, 12:58 PM | #10 |
|
|
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?
|
| Feb26-05, 01:12 PM | #11 |
|
|
Precisely kerbox
|
| Feb27-05, 12:18 AM | #12 |
|
|
|
| Feb27-05, 02:29 AM | #13 |
|
|
2x-x=0
2x=x 2=1 ???? -1=0 ???? How about them mathimatics!!
|
| Feb27-05, 07:52 AM | #14 |
|
|
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..)
|
| Feb28-05, 10:13 AM | #15 |
|
|
|
| Mar13-05, 07:31 AM | #16 |
|
|
ax=x => a=1 or x=0 or x=infinity. so 2x=x => a=2 => x=0 or x=infinity. |
| Mar13-05, 07:33 AM | #17 |
|
|
However, there is no number called "infinity", so "x = 0 or x = infinity" is equivalent to "x = 0"!
|
| Thread Closed |
Similar discussions for: Infinity
|
||||
| Thread | Forum | Replies | ||
| infinity subtracted from infinity is undefined. | Linear & Abstract Algebra | 46 | ||
| + infinity and - infinity join ? | General Math | 4 | ||
| A sinusoid integrated from -infinity to infinity | Calculus & Beyond Homework | 4 | ||
| Infinity minus Infinity | General Math | 4 | ||
| Infinity/Negative Infinity and Zero | General Math | 5 | ||