Is 1 Infinity defined?
Infinity is a concept, not a number; therefore, the expression 1/infinity is actually undefined.
In mathematics, a limit of a function occurs when x gets larger and larger as it approaches infinity, and 1/x gets smaller and smaller as it approaches zero..
Is Infinity 1 greater than infinity?
There are many different notions of infinity. Depending on what notions of “infinity”, “+” and “1” that you’re dealing with, “infinity + 1” can be nonsensical, the same as “infinity”, or bigger than “infinity.” in terms of cardinality: no. … In that case: no, infinity +1 is not bigger than infinity.
What is bigger the Infinity?
With this definition, there is nothing (meaning: no real numbers) larger than infinity. There is another way to look at this question. It come from an idea of Georg Cantor who lived from 1845 to 1918. Cantor looked at comparing the size of two sets, that is two collections of things.
Are there two infinities?
Infinity is a powerful concept. … There are actually many different sizes or levels of infinity; some infinite sets are vastly larger than other infinite sets. The theory of infinite sets was developed in the late nineteenth century by the brilliant mathematician Georg Cantor.
Why is infinity not 1 infinity?
Therefore, infinity divided by infinity is NOT equal to one. Instead we can get any real number to equal to one when we assume infinity divided by infinity is equal to one, so infinity divided by infinity is undefined.
Is 2 times infinity bigger than infinity?
Infinity can never be smaller or larger then infinity. Infinity is not a number. It is a size, a manyness. Georg Cantor proved that there are 2 and only 2 sizes of infinity.