Elite QandA


What is meant by some infinities are bigger than other infinities?


  1. What is meant by some infinities are bigger than other infinities?
  2. Are some infinities larger?
  3. What infinities are bigger?
  4. Are there different sized infinities?
  5. Are infinities the same size?
  6. What are the different infinities?
  7. Are some infinities bigger?
  8. Why are there different sized infinities?
  9. Are infinities different sizes?

What is meant by some infinities are bigger than other infinities?

Augustus explains that within a single minute there are an infinite number of possibilities. Anything can happen in that minute, essentially. When he says that "some infinities are bigger than other infinities," what he is trying to say that even though his life was not a long one, it was still its own infinity.

Are some infinities larger?

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.

What infinities are bigger?

Different infinite sets can have different cardinalities, and some are larger than others. 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.

Are there different sized infinities?

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 infinities the same size?

From Quanta Magazine (find original story here). In a breakthrough that disproves decades of conventional wisdom, two mathematicians have shown that two different variants of infinity are actually the same size.

What are the different infinities?

Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical.

Are some infinities bigger?

Different infinite sets can have different cardinalities, and some are larger than others. 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.

Why are there different sized infinities?

Yet infinite sets behave differently. Cantor showed that there's a one-to-one correspondence between the elements of each of these infinite sets. Because of this, Cantor concluded that all three sets are the same size. Because of this, he concluded that the set of real numbers is larger than the set of natural numbers.

Are infinities different sizes?

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.



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