# How can some infinities be larger than others?

How can some infinities be larger than others?

## How can some infinities be larger than others?

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.

## Are some sets of infinity larger than others?

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.

WHO said some infinities are bigger than others?

Some Infinities Are Larger Than Others: The Tragic Story of a Math Heretic. You can’t get any bigger than infinite, right? Well, kind of. Late in the 19th century, German mathematician Georg Cantor showed that infinite comes in different types and sizes.

### Can infinities have different sizes?

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.

### Is there a largest infinity?

There is no biggest, last number … except infinity. Except infinity isn’t a number. But some infinities are literally bigger than others.

What page is the quote some infinities are bigger than other infinities?

“Some infinities are bigger than other infinities.” -Narrator, chapter 15. 5. “But, Gus, my love, I cannot tell you how thankful I am for our little infinity.

#### What page in the fault in our stars is the quote?

Whatever you say. “Were she better or you sicker, then the stars would not be so terribly crossed, but it is the nature of stars to cross, and never was Shakespeare more wrong than when he had Cassius note, ‘The fault, dear Brutus, is not in our stars / But in ourselves. ‘” (page 111) The first mention of the title.

#### Is absolute infinity the biggest infinity?

Absolute infinity is supposedly the limit of all transfinite ordinals. However, Sbiis Saibian stated himself that it is “not considered an official transfinite number” and “there is no such thing as a largest number”.

Are countable 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.

## Is infinity bigger than infinity?

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).