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One normally says that infinity times infinity is infinity. Most mathematicians would accept this as valid if presented in a proper mathematical context. Context: The mathema…tical concept of infinity depends upon the context. As far as lower level mathematics that most people are familiar with are concerned, infinity is not a number and thus can not participate in arithmetic in the usual fashion. In Calculus, you can work with infinity, but only through the language of limits. In this case, if you multiply two functions whose limit approaches infinity, the result's limit will also approach infinity. However, this tells us nothing about how "big" this infinity is. In an example from higher level mathematics, you can use the Aleph numbers, which is the set of all cardinal numbers of the infinite sets of finite numbers. Aleph numbers are transfinite, and are for all intents and purposes considered infinite. Mathematical operations with infinity, or transfinite numbers, produce a peculiar arithmetic. If "a" is "infinite" then the following relationships are taken to hold. a + a = a a * a = a a^a = a (MORE)

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In Infiniti G20

Infiniti Motors is a division of Nissan Motor Corporation, a Japanese car manufacturer. In the United States, Nissan was formerly known as Datsun. The Infiniti brand was… launched in the United States in the 80's around the same time as Lexus (a division of Toyota Motor Corp) and Acura (a division of Honda). These three luxury brands were launched in order distance their higher end cars from the economy cars which the companies were known for and to compete against German and American luxury brands like Mercedes and Cadillac. (MORE)

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In Calculus

It is indeterminate. There are many other inderterminate forms. It is not at all the same as 3/3 for example. You can see this with limits and some calculus rules. You must ap…ply the L'Hospital theorem by deriving the numerator and the denominator of the equation that gave you infinity over infinity. ----------------- Why ∞/∞ is not 1 One could think that ∞/∞ = 1, but this is wrong. The answer depends on the kind of infinity: in fact, there are different kinds of infinity. For example, consider f(x) = x2 and g(x) = x. In the limit x→∞ of the function f(x)/g(x), we have limx→∞ f(x)/g(x) = limx→∞ x2/x = limx→∞ x = ∞; so, both f(x) and g(x), in that limit, equal infinity, but f(x)/g(x) ≠ 1. If we have f(x) = 2x and g(x) = x, both f(x) and g(x) equal infinity (for x→∞), but limx→∞ f(x)/g(x) = limx→∞ 2x/x = limx→∞ 2 = 2 ≠ 1. So you see that infinity is something to check everytime! -------------- Addition: Since infinity is not a set number, you cannot assume that infinity divided by infinity would equal one. Infinity is an indeterminate number. 1 To touch on this whatever you take and divide by the same number will always give you one. 2 Infinity divided by infinity is not equal to 1, But it is undefined, not another infinity. This would help you: First, I am going to define this axiom (assumption) that infinity divided by infinity is equal to one: ∞ - ∞ = 1 Since ∞ = ∞ + ∞, then we are going to substitute the first infinity in our axiom: ∞ + ∞ --- ∞ = 1 The next step is to split this fraction into two fractions: ∞ - ∞ + ∞ - ∞ = 1 Next, substitute the axiom twice into the equation, we get: 1 + 1 = 1 Finally, this can be rewritten as: 2 = 1 Therefore, infinity divided by infinity is NOT equal to one. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined. (MORE)

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In Calculus

Infinity is not really a number. It is a symbol (\\infty) for something that is so large that we cannot imagine it. You can also think of it as being the opposite of zero (0),… where zero is nothing and infinity an unimaginable amount. In multiplication you are looking at a certain number of sets of things. For example, you could have three sets of four things where each set as four things in that set. You can tell how many are present by using the mathematical equation 3 x 4 or twelve things. If you were to have an infinity set of infinity things you would still be left with an infinity amount of things. It is the same as saying if you have no sets of no things you have no things (0x0=0). So, the answer to the question is that infinity times infinity is infinity. The use of infinity is not very useful in arithmetic, but is used in more advance levels of mathematics. (MORE)

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Infinity is as big as you can get, so there is no number after it. There is also a "negative infinity" going the other way, so the total number of integers could be consider…ed as two infinity (2 x ∞), or two ∞ plus 1 if you include zero. But usually infinity is defined to include the entire set of integers. * * * * * Except that infinity plus infinity, or even infinity times infinity is still infinity. However, infinity to the power of infinity is a higher level of infinity (Aleph1 rather than Aleph0). And if that does not do your head in, there is a lot more to the mathematics of infinities. (MORE)

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In Infiniti

infinity2 Well, your question does not specify whether the infinities are "countable" infinities (such as the number of integers) or "uncountable" infinities (such as the numb…er of real numbers). If both multiplicands are countable infinities, the product is also countable infinity. If either multiplicand is uncountable, the product is uncountable infinity. Countable infinity is known as "Aleph null", and uncountable infinity as "Aleph one". Infinity times zero may possibly be equivalent to zero though ------------------------------------------------------------------------------------------- ∞ x ∞ = ∞ infinity times infinity equals to infinity Infinity is already the highest number. Technically speaking, there is no highest number. So infinity infinity's is infinity cause infinity is never ending. (MORE)

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The inverse of infinity is a number approaching zero but less than any other number. This means that it is close to zero but not equal to it, a infinitesimal number.

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Such boundless questions bring only finite remarks. What gets lost once one begins defining infinity? Could you define infinity? What infinite number of definitions could ev…en hope to describe the vast and endless scope of infinity? What words could even wonder what infinite ways will go? Infinity has no place inside definitions that only seek to confine such unlimited abandon, such vastness that goes beyond vast, whose quantity remains hopelessly unquantifiable, whose timelessness remains indifferent to time certain in it's infinite belief that infinity will outlast time. The limitations of language, even mathematical equations, lets us know the sheer audacity of defining infinity. There are not enough words in the English language, nor any other, to give fair representation of infinity. What words could describe infinite ideas in a finite world? What words used to describe the finite could possibly give justice to the infinite? Words, words, words, in their endless pratter and never ending blather could never, ever, ever reach infinity with out infinity allowing words to do so. What infinite effort could ever hope to define infinity? How could anyone even dare? How can you define infinity. why cannt you just say boundless, unlimited, immeasurable, innumarable, not limited by number or person or something like that? (MORE)

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In Uncategorized

There are an infinite number of infinities. The power set is the set of all subsets of a set. The power set of an infinite set is a larger infinite set. The first (smallest) i…nfinite set is the integers: 1,2, 3, .... The second infinity is the set of real numbers. The third infinity is the set of all plane curves. (MORE)

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In Science

Infinity is a concept, not an actual number. Someone may say the number of stars is infinite, or that the number of fractions between 0 and 1 is infinite, or that the number …of even numbers is infinite. But these are not things that can be subtracted. (MORE)