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It turns out to be very useful.
For example, our intuition about counting numbers is that you can always add 1; there is no natural stopping place. This gives us the idea that there are infinitely many natural numbers. If we start thinking about the set of all natural numbers, that is an infinite set. The set of points on a line is another infinite set, and there is no natural way of cutting it down to a finite set.
If we think about summing series, often it is easier to think about summing all the terms of an infinite series, rather than stopping at some arbitrary point like the first million terms. Sometimes the infinite is simpler than the finite.
The infinite needs to be handled with care, and the rules weren't completely worked out until the early years of the 20th century. But infinite sets and infinite series have been used very successfully for a long time now.
Note: This answer relates to the concept of infinity in mathematics. The question as to whether the physical universe is infinite is a separate question. The evidence is that it is not. Again, in quantum physics there may be a smallest distance, so physical space may have "atoms", unlike the continuous space commonly used in mathematics.
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How do you write the number infinity in numbers?
Infinity is not a number, it's a philosophical concept. You can't count up to it. The mathematical symbol is like an "8" on its side.Infinity = ∞
What is the existence of 1?
It is a mathematical concept. It does not have a concrete existence.It is a mathematical concept. It does not have a concrete existence.It is a mathematical concept. It does not have a concrete existence.It is a mathematical concept. It does not have a concrete existence.
What is the mathematical symbol for neutrality?
Neutrality is a political concept, not a mathematical concept. It means not taking sides.
What is the highest and the lowest mathematical value in the universe?
infinity
What is a limit in a number?
There is no limit in a number. There is however a mathematical concept known as a limit but this applies to functions. For instance: The limit of f(n)=(1/n) as n goes to infinity is 0. The limit of f(n)=(n/n) as n goes to infinity is 1.
Is there negative infinity?
Both positive and negative infinity are equally valid mathematical entities.
Why is infinity minus infinity not zero?
Infinity is a sophisticated mathematical concept and there are highly evolved rules for manipulating quantities with are or which can become infinite.In the absence of a context, simple questions such as "infinity minus infinity" can not be answered. In mathematical and physical situations where such questions arise, there is normally a completely rational and prescriptive way to arriving at an answer.
How do you write the number infinity in numbers?
Infinity is not a number, it's a philosophical concept. You can't count up to it. The mathematical symbol is like an "8" on its side.Infinity = ∞
What is a zarbow?
a zarbow is a number, its every number in the wolrd including enfinity added together x by 2 then u have a zarbowAnything added to infinity is infinity, and anything multiplied by infinity is infinity and therefore, a 'Zarbow' is just infinity, and infinity is not a number, but merely a mathematical concept
What is the existence of 1?
It is a mathematical concept. It does not have a concrete existence.It is a mathematical concept. It does not have a concrete existence.It is a mathematical concept. It does not have a concrete existence.It is a mathematical concept. It does not have a concrete existence.
What is the infinity button in Ti-83?
There isn't one. Infinity is not a number, or a valid mathematical operation or result. You never need to use it during a calculation, and if it ever results from one ... like division by zero ... the calculator indicates an 'error'.
What is the biggest number people have named?
Infinity is NOT the largest number named, because infinity is not a number, it is a mathematical representation of the concept that numbers never stop. The real largest number named is centillion or 10 to the power of 303.
What is infinity multiplied by infinity?
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 mathematical 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 Alephnumbers, which is the set of all cardinal numbers of the infinite sets of finite numbers. Alephnumbers 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 followingrelationships are taken to hold.a + a =aa * a =aa^a=a
What is the mathematical symbol for neutrality?
Neutrality is a political concept, not a mathematical concept. It means not taking sides.
What is the highest and the lowest mathematical value in the universe?
infinity
Does infinity have a limit?
No. That is why it is called "infinity". Infinity is actually not an accepted numerical value in calculus. It is rather a concept. For instance, (infinity) - 1 googleplex = infinity
How can you tell when you've reached infinity?
infinity is a concept not a number and you can't "reach" it.
