Table of Contents
How can there be different types of infinity?
Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical. Mathematical infinities occur, for instance, as the number of points on a continuous line or as the size of the endless sequence of counting numbers: 1, 2, 3,….
How can some infinities be bigger than others?
Yes. If you’re given an infinite set, there is a simple method to make a larger infinity: take its power set, which is always of higher cardinality. So not only some infinities are larger than others, but there is no a “largest” inifinity, you can always create a larger one.
Can we count past infinity?
Infinity is a concept referring to a process that never ends. Going past infinity implies that you complete that process and then go further. This is contradictory. In other words, you cannot count past infinity because infinity is not a number.
Do all infinities come in different sizes?
Strange but True: Infinity Comes in Different Sizes. That assumption, however, is not entirely sound. 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.
Are there infinite infinities in math?
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. These numbers are unbounded, and so the collection, or set,…
Are two different variants of infinity the same size?
In a breakthrough that disproves decades of conventional wisdom, two mathematicians have shown that two different variants of infinity are actually the same size.
Is Infiniti a number?
Infinity is a concept, not a number. Infinity can be found using mathematics by showing something is “not bound” and has more elements than a finite number, but it can’t be written as a number. When we are talking about “an infinite number,” we are describing an irrational number.