Author Topic: Infinity reloaded  (Read 408 times)

hubag bohol

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Infinity reloaded
« on: May 07, 2013, 09:25:35 AM »
Infinity is already a pretty difficult concept to grasp. Humans weren’t made to comprehend the never-ending, and for that reason Infinity has always been treated with caution by mathematicians. It wasn’t until the latter half of the 19th century that Georg Cantor developed the branch of math known as Set Theory, a theory which allowed him to ponder the true nature of Infinity. And what he found was truly mind-boggling.

As it turns out, whenever we imagine infinity, there’s always a different type of infinity that’s bigger than that. The lowest level of infinity is the amount of whole numbers (1,2,3…), and it’s a countable infinity. With some very elegant reasoning, Cantor determined that there’s another level of infinity after that, the infinity of all Real Numbers (1, 1.001, 4.1516…basically any number you can think of). That type of infinity is uncountable, meaning that even if you had all the time in the universe you could never list off all the Real Numbers in order without missing some. But wait—as it turns out, there’s even more levels of uncountable infinity after that. How many? An infinite number, of course. -- http://listverse.com/

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