Are Some Infinities Bigger Than Others. There are actually many different sizes or levels of infinity; Are some infinities actually bigger than others?
“there are infinite numbers between 0 and 1. The theory of infinite sets was developed in the late nineteenth century by the brilliant mathematician georg cantor. Some infinite sets are vastly larger than other infinite sets.
Also see numberphile’s video about the proof with james grime, and minute physics. So rather than making intuitive sense, it makes no sense (to me). I’m not a terrorist because i’m a bad guy.
Of course, there is a bigger infinite set of numbers between 0 and 2, or between 0 and a million. Some infinities are bigger than others Late in the 19th century, german mathematician georg.
The theory of infinite sets was developed in the late nineteenth century by the brilliant mathematician georg cantor. The assumption that something truly infinite exists in nature underlies every physics course i’ve ever taught at mit — and, indeed, all of modern physics. Simple mathematical concepts such as counting appear to be firmly anchored in the natural process of thinking.
Infinity is one of the most interesting concepts in mathematics, and while most people have some idea of what it is as a concept, many only know of an extrem. A deep math dive into why some infinities are bigger than others. Georg cantor’s diagonality proof that some infinities are bigger than others mesmerized me, and his infinite hierarchy of infinities blew my mind.
There’s.1 and.12 and.112 and an infinite collection of others. Some types of infinities are larger than others but infinities of the same type are all the same size. The tragic story of a math heretic.
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