More new questions »

Answered

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)

Answered

No, infinity is not a number, in the mathematical sense. It is a symbol for "unlimited". As such it has uses in various theories in math and in physics. The simplest proo…f is adding a real value, such as 1, to infinity. Just as zero times any number is still zero, infinity plus any value will remain "infinity". (MORE)

Answered

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)

Answered

Infinity does not equal anything because it is not a numerical entity. Infinity is a concept used to describe extremely high values, or the tendency of a function to out…put extremely large values as the input approaches a certain value. To get more informations on the concept of infinity, see "limits". (MORE)

Answered

Infinity Ward is a video game developer based in California. The company produces the Call of Duty series.50 pentacagon(pentontagon) 100 centagon 1000 chiligon 10000 myrig…on 100000 decmyrigon 1,000,000 megagon infinty areigon (n-gon i think) (MORE)

As it turns out, these stars actually regret the roles responsible for launching their careers into unforgettable stardom. After you read our explanations, perhaps you'll unde…rstand why. (MORE)

Chris Norton

+ 6 others
commented on this article
When it comes to basic facts, what you don't know can hurt you, or at the very least surprise you.… (MORE)

As the saying goes, you can't teach an old dog new tricks. Some tricks, however, are so simple that even an old dog or new puppy can learn them. Just practice any of the follo…wing a few times a day with your dog. (MORE)

While traveling with a dog down the open road makes for good memories, doing it properly takes some thought. Help you and your dog enjoy the time you spend journeying together… by keeping these tips in mind. (MORE)

Answered

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)

Answered

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.

Answered

There is no specific number for infinity, seeing that the word infinity signifies that there are limitless combinations. However, infinity does have its own symbol which resem…bles the number 8 turned sideways and slighty squished. (MORE)

Answered

In Science

Infinity is NOT a number, there is no FORMULA for it. Infinity cannot exist in any sets where it is defined. Infinities are different even for different sets! The infinity in… natural numbers set {1, 2, 3, ...}, integers {0, 1, -1, 2, -1,....}, rational numbers {1/2, -1, 4/5,....}, real {pi, sqrt(2), 1, 4/5, ....}, the complex numbers {1, 5 +3i, ...} and many other infinite fields, rings, groups have their infinity defined as their "cardinality", or the abstract sense, the "size" of it. It quite obvious the infinity of natural numbers is much smaller than that of the real. It is said that the "cardinality" of the set of all "infinities" is the largest of all infinities. (Equal to the number of all possible sets). Why can't infinity be a number? Well, to be a "number" we must be able to add it together, and ta special element "0" such that "0" + a for any a is still a (or multiply, with element "1" instead, needed concept for concept of number, or number axioms). It's easy to prove that this element is UNIQUE, (or the equivalent class of it is unique, a and b are in the same equivalent class means a = b in the set) Now with our understanding and definition of infinity, "infinity" != 0, or that means there is no element in this set, we can't define operations within the empty set. But also, "infinity" + 1 = "infinity". We just said 0 is unique. Contradiction. So, no infinity is NOT a number. Please note, there is a difference between infinity as an ELEMENT then infinity as a NUMBER. An element of a set does not require to be part of the operation, this set will not be a well defined number set. (MORE)

Answered

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)