2006-09-23 23:09:32 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Physics
"Infinity" is the largest factorial expansion.
2006-09-23 23:14:44 · answer #1 · answered by J.SWAMY I ఇ జ స్వామి 7 · 0⤊ 0⤋
The statement is not correct. Given enough computing power, any factorial expression can be reduced to an actual number (for example 5 factorial is 5x4x3x2x1 = 120). Another way of defining infinity is a quantity that is too large to be mathematically expressed any other way.
2006-09-24 06:15:32 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Well infinity is a limit, but the factorial of infinity can be expressed as the infinite product of integers.
This incidentally leads to a very interesting regualrised product that factorial infinity = the square root of 2pi
chk,
http://www.artofproblemsolving.com/Forum/viewtopic.php?p=488733#p488733
2006-09-24 06:29:31 · answer #3 · answered by yasiru89 6 · 0⤊ 0⤋
NO!!! It is not. Infinity (which is a very poor choice of words) means large without bound. If you can calculate a value with some algorithm, then you can always add 1 to it to get a 'bigger' value. Thus you haven't computed a value for infinity. You *can't* compute a value for infinity because it is larger than the count of all of the elementary particles in the Universe. It is 'large without bound' and, as soon as you try to 'define' how big it is, you've bounded it âº
Doug
2006-09-24 06:18:28 · answer #4 · answered by doug_donaghue 7 · 1⤊ 0⤋
"Infinity" isn't "just" anything. There are myriads of infinities (an infinite number of them in fact). The first basic infinity ("alpha1") is what you get if start counting, and keep counting, forever. Then there are the other alphas: e.g. the infinite number of infinitesimal points between the integers you just counted forever, and the sum of them included in your first alpha. Then you count that collection of alphas, infinitely. These occur as sets, and the set that contains all the infinite infinity of sets is sometimes termed the "Omega". There's only one of those, by definition, because if there were two or more, the set containing those would be the Omega...
2006-09-24 06:32:42 · answer #5 · answered by Paul FB 3 · 0⤊ 0⤋
The way I think of infinity is: Time in Space, without energy nor matter. lol. Salut.
2006-09-24 07:39:19 · answer #6 · answered by Nicolette 6 · 0⤊ 0⤋
Infinitely!!
2006-09-24 06:13:05 · answer #7 · answered by Anonymous · 0⤊ 0⤋
no it's bigger still
2006-09-24 10:05:49 · answer #8 · answered by Clint 6 · 0⤊ 0⤋