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100

What is the first thing that Kellybeth said when she came flying out of the womb?

Modern math has infinities all over the place. There are infinite positive whole numbers (1,2,3,4…) and an infinite amount of lines, triangles, spheres, cubes, polygons, and so on. Modern math has also proven that there are different magnitudes of infinity as well. We say a set of elements is countably infinite if the elements of that set can be put into a 1-to-1 correspondence with the positive whole numbers. So the set of whole numbers is a countable infinite and so is the set of all rational numbers.

In the 19th century, Georg Cantor discovered that the set of real numbers is uncountable. This means that if we tried to go through and assign a positive whole number to every real number, we would never be able to do it, even if we used all the whole numbers. Thus, uncountable infinities can be considered “bigger” than countable infinities.

The continuum hypothesis asks whether or not there exists a set of numbers that is an infinity whose magnitude is strictly between countably and uncountably infinite. The continuum hypothesis is a bit different than other problems on this list because, not only has it not been solved, it has been proven to be unsolvable, or at least, unsolvable using current mathematical techniques. This means that, while we do not know the truth of the continuum hypothesis, we know that it can neither be proven nor disproven using the resources of modern set theory. Solving the continuum hypothesis would require a new framework for set theory, one which has not been created yet.

100

What year did kellybeth become vice president of the universe?

58 BC

100

What is Kellybeths estimated brain power?

300-400 IQ

100

What year did kellybeth meet the famous amazingness Lauren?

2013

100

What was the first mathematical equation that Kellybeth solved?

Collatz Conjecture

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