As Buzz Lightyear would say, "To infinity and beyond!!!"
Infantutay
I don't understand what you mean by deeper, but the cardinality of irrational numbers, Aleph-One, is greater than the cardinality of rationals, Aleph-Null. That is to say, there are more irrational numbers than rationals. [If you treat infinity as a number, there are infinity to the power of infinity irrational numbers compared with "just infinity" for rationals.]
Answer: Infinity isn't exactly anything. When one speaks of infinity, they are referring to an ultimate, i.e. infinitely large is the largest, infinitely small is the smallest, continuing to infinity is never ending, etc. There is no real way to conceptualize infinity since by the mere fact that by thinking of something as being, say, infinitely big, I can immediately think of something bigger by adding one to it, therefore that initial thing wasn't infinitely big to begin with.The way I conceptualize infinity is in the following way. If there is a finite probability that an event can happen, say the classic monkey writing Shakespeare thought experiment, then given an infinite amount of time, that event will happen, not might happen, but will happen. If that monkey has a 1 in 1010000000000000 chance of replicating Shakespeare, then not only will that monkey do it if you give it an infinite amount of time, it will do it an infinite number of times.Answer: Since you put the question in math (or accepted the suggested category): In Math, infinity has different meanings in different context.In set theory, it means, informally, that if you count the elements of a set, you will never reach an end. Formally, infinity can be defined in different ways; for example, an infinite set is one that can be put into a one-to-one correspondence with one of its proper subsets. (It has proper subsets that are "just as big" as the entire set.)In calculus, it means that an amount has a tendency to go beyond any fixed limit. You might also use the word "unbounded" in this context.All in all, infinity is not a number. It's a term meaning 'going on and on'.
infinity, the pi number keeps going on to infinity
NO BECAUSE YOU CAN ALWAYS SAY INFINITY PLUS ONE!
I can't easily write it in Greek here, but in Roman letters it's apeiron, "without limit".
Division by zero is not allowed/defined. So you cannot take 'one over zero', or have zero in the denominator.Without going too technical, a person might say that 1/0 is infinity, and it sounds good. But if you have a function [say f(x) = 1/x] and take the limit of f(x) as x approaches zero, then f(x) approaches infinity as x approaches from the right, but it approaches negative infinity as you approach from the left, therefore the limit does not exist.
No there isn't. Some people say that infinity is the last number but what about infinity and one and infinity and two? So basically there is no end to numbers. To infinity and beyond!
You can say it, but whether the usage is correct depends on the context. Infinity is not a point in time or space that can ever be reached by anything (or anyone) moving towards it. A spaceman can never go "to infinity". Nor indeed "beyond!" as if there is anything beyond it then, by definition, it can't be infinity. But some concepts can be correctly expressed by a relationship to infinity. E.g. parallel lines are described as meeting at infinity; but as that point can not be reached they will never meet. The sequence of integers, 1,2,3,etc can be described as extending to infinity, as there is no limit to the highest number possible. Infinity isn't really a meaningful term - if you think you can imagine an infinite number, then try adding 1 to it...
Infinity is the highest number of all. Technically, some people say that infinity is too much that infinity is 0.
no!
You can never be at infinity. You can approach it, by adding a crazy number of zeros on to the end of something (before a decimal), but you can never really get close. For example... 1000000000000000000000000000000000000000000000000000000 is a number that I'd say is approaching infinity; that is, if you needed to find something like the limit as x approaches infinity (calculus topic), you could plug that in for x and you'd be safe. But. It's still not anywhere near infinity.
Latin words meaning infinity are infinitas and infinitio.
There is no number greater than infinity. Infinity is defined to be greater than any number, so there can not be two numbers, both infinity, that are different.However, when dealing with limits, one can approach a non-infinite value for a function involving infinity. Take, for example, 2x divided by x, when x is infinity. That value is indeterminate, because infinity divided by infinity is defined as indeterminate, and 2 times infinity is still infinity.But, if you look at the limit of 2x divided by x, as x approaches infinity, you do get a value, and that value is 2. This does not mean that 2x when x is infinity is twice infinity, it just means that, right before x becomes infinity, the ratio is right before 2.Infinity should not be thought of as a number, but rather as a direction. Whereas a number represents a specific quantity, infinity does not define given quantity. (If you started counting really fast for billions of years, you would never get to infinity.) There are, however, different "sizes of infinity." Aleph-null, for example, is the infinity that describes the size of the natural numbers (0,1,2,3,4....) The infinity that describes the size of the real numbers is much larger than aleph-null, for between any two natural numbers, there are infinite real numbers.Anyway, to improve upon the answer above, it is not meaningful to say "when x is infinity," because, as explained above, no number can "be" infinity. A number can approach infinity, that is to say, get larger and larger and larger, but it will never get there. Because infinity is not a number, there is no point in asking what number is more than infinity.
When we divide 1 by infinity, we are essentially taking the limit of 1 as the denominator approaches infinity. In mathematics, this limit is equal to zero. This is because as the denominator becomes infinitely large, the value of the fraction approaches zero. Therefore, 1 divided by infinity equals 0.
Infinity is the most logical way to say forever.