In the Ordinals or in the Cardinals (used extensively in set theory), infinity isn't just a number, it is an entire range of numbers. And yes, in all of these systems, infinity is greater than one.
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.
Beyond the infinity known as ℵ0 (the cardinality of the natural numbers) there is ℵ1 (which is larger) … ℵ2 (which is larger still) … and, in fact, an infinite variety of different infinities.
No. Infinity is not a number. Instead, it's a kind of number. You need infinite numbers to talk about and compare amounts that are unending, but some unending amounts—some infinities—are literally bigger than others.
Numbers approach negative infinity as they move left on a number line and positive infinity as they move right on a number line. Negative infinity is always less than any number, and positive infinity is greater than any number.
With this definition, there is nothing (meaning: no real numbers) larger than infinity.
Zillion is not actually a real number; it's simply a term used to refer to an undetermined but extremely large quantity.
The Absolute Infinite (symbol: Ω) is an extension of the idea of infinity proposed by mathematician Georg Cantor. It can be thought of as a number that is bigger than any other conceivable or inconceivable quantity, either finite or transfinite.
A number over infinity, the answer is zero. 0/0 or ∞/∞, use L'Hôpital's Rule.
Not only is the infinity of decimals bigger than that of the counting numbers – there is no biggest infinity. Beyond infinity is another infinity, and beyond that is yet another… and even after you've reached an infinity of infinities, there's still another infinity beyond that.
Infinity has no end
So don't think like that (it just hurts your brain!). Just think "endless", or "boundless". If there is no reason something should stop, then it is infinite.
Answer and Explanation: There is no number before infinity. It is possible to represent infinity minus one as a mathematical expression, but it does not actually equal anything or have any real mathematical value.
As German mathematician Georg Cantor demonstrated in the late 19th century, there exists a variety of infinities—and some are simply larger than others. Take, for instance, the so-called natural numbers: 1, 2, 3 and so on.
The smallest version of infinity is aleph 0 (or aleph zero) which is equal to the sum of all the integers. Aleph 1 is 2 to the power of aleph 0. There is no mathematical concept of the largest infinite number.
A "googol" is the number 1 followed by 100 zeroes. The biggest number with a name is a "googolplex," which is the number 1 followed by a googol zeroes.
The fundamental principle of the philosophy of Benedict de Spinoza is the necessary and absolute infinity of God. He defined God as an absolutely infinite being.
Eternity vs Infinity
While infinity is something that cannot be expressed or measured in units or measurement, eternity is something that is present at all times, something that has no end or beginning.
There are no zeros in infinity. There are no numbers in infinity because infinity is not a number. Infinity is an idea that represents something outside the bounds of our number system.
A googol is 10 to the 100th power, which is 1 followed by 100 zeros. While this is an unimaginably large number, there's still an infinite quantity of larger numbers. One such number is googolplex, which is 10 to the power of a googol, or 1 followed by a googol of zeros.
Google is the word that is more common to us now, and so it is sometimes mistakenly used as a noun to refer to the number 10100. That number is a googol, so named by Milton Sirotta, the nephew of the American mathematician Edward Kasner, who was working with large numbers like 10100.
The concept of zero and that of infinity are linked, but, obviously, zero is not infinity. Rather, if we have N / Z, with any positive N, the quotient grows without limit as Z approaches 0. Hence we readily say that N / 0 is infinite.
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 infinity symbol, a figure eight on its side, variously signifies the concept of limitlessness or eternity, especially as used notationally in mathematics and metaphorically with respect to love.