It is impossible for infinity subtracted from infinity to be equal to one and zero. Using this type of math, it would be easier to get infinity minus infinity to equal any real number. Therefore, infinity subtracted from infinity is undefined.

Mathematically, if we see infinity is the unimaginable end of the number line. As no number is imagined beyond it(no real number is larger than infinity). The symbol (∞) sets the limit or unboundedness in calculus.

Infinity is just a concept of endlessness, and can be used to represent numbers going on forever. Negative infinity is the opposite of (positive) infinity, or just negative numbers going on forever.

Negative infinity means that it gets arbitrarily smaller than any number you can give. so 1 - infinity = -infinity and 1 + infinity = + infinity makes sense only when looked as in this sense.

Yet even this relatively modest version of infinity has many bizarre properties, including being so vast that it remains the same, no matter how big a number is added to it (including another infinity). So infinity plus one is still infinity.

The set of real numbers (numbers that live on the number line) is the first example of a set that is larger than the set of natural numbers—it is 'uncountably infinite'. There is more than one 'infinity'—in fact, there are infinitely-many infinities, each one larger than before!

INFINITY IS THE BIGGEST NUMBER FOLLOWED BY OMEGA (even though they are not real numbers) thats the answer to your question. There is no correlation between omega and infinity since there is no last number in the infinite set.

We all already know that “infinity plus anything is infinity” and “infinity times anything (other than 0) is infinity”, and other sort of “obvious” statements like these.

As much as we would like to have an answer for "what's 1 divided by 0?" it's sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be true, because anything times 0 is 0.

In other words, you can place all the even numbers and all the natural numbers side by side in two columns and both columns will go to infinity, but they are the same "length" of infinity. That means that half of countable infinity is still infinity.

In mathematics, anything divided by zero is not defined (and not infinity). But 'limit' (1/x); x->0 is well defined and is equal to infinity (it is the basic concept of limits).

D : (−∞,0) ∪ (0,∞) (2) All this is saying is from negative infinity up to 0 we can plug anything into our function and (the ∪ is called a union and it means 'and') from 0 (but not including 0) to positive infinity we can plug in anything.

infinity, the concept of something that is unlimited, endless, without bound. The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655.

Infinity is bigger than any number. But saying just how much bigger is not so simple. In fact, infinity comes in infinitely many different sizes—a fact discovered by Georg Cantor in the late 1800s.

Many others such as Bertrand Russell doubted the existence of infinity in various forms and fought against the axioms of the mainstream mathematical community which were in flux at that time. Once, the existence of infinity was one of the biggest debates in the mathematical community.

One may obtain negative zero as the result of certain computations, for instance as the result of arithmetic underflow on a negative number (other results may also be possible), or −1.0×0.0 , or simply as −0.0 .

According to Aristotle, actual infinities cannot exist because they are paradoxical. It is impossible to say that you can always “take another step” or “add another member” in a completed set with a beginning and end, unlike a potential infinite.