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Showing posts with the label Mathematics

Infinity

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There was a young fellow from Trinity Who took square root of infinity Square root of But the number of digits Gave him the fidgets; He dropped Math and took up Divinity. -- George Gamow (One Two Three...Infinity)  So what really is infinity? Infinity is an idea. It isn't really a concrete number. It is something that never ends, it goes on forever.  Transfinite Numbers As kids, all of us have baffled over the idea of the largest number there is. That’s when we came across “infinity” and we were told that it is the biggest “number”. Nevertheless, our curiosity wouldn't settle. Is there anything beyond that? If so, what is it? What if it told you there is. Well... sort of. Some infinities are bigger than others.  This idea can help you say that there are more points on a 1cm line than there are rational numbers in the universe or that there are an equal number of even numbers and even and odd numbers combined.  There is an infinite number of natural numbers (1,2,3 and so on). Th