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" "I am trying to convince people--not only the public, but lawmakers and people in power--that investing in the frontier of science, however remote it may seem in its relevance to what you're doing today, is a way of stockpiling the seed corns of future harvests of this nation... Advancing a frontier--history has shown--has advanced a culture ever since the industrial revolution got underway.
Neil deGrasse Tyson (born October 5, 1958) is an American , science communicator, Director of the Hayden Planetarium at the Rose Center for Earth and Space, and since 2006 host at PBS's educational television show NOVA scienceNOW.
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I don't know how many people know this, but often it's mindblowing when you learn, that some infinities are bigger than others. [...] The number of counting numbers...so 1, 2, 3, up to infinity...the numbers you would use to count things, that's infinite. The number of irrational numbers...so the numbers you cannot represent as a fraction, okay, there are more of those than there are counting numbers, by far. So these are orders of infinity. Then there are more transcendental numbers than there are irrational numbers. So that's a number you'll never find as a solution to an algebraic equation. So pi is a transcendental number. e is a transcendental number. These are magic numbers that show up in mathematics. And it turns out there's an even bigger infinity of those than there is of these other two classes of numbers. And they use the Hebrew letter aleph in ranking. So it's aleph-1, aleph-2, aleph-3, aleph-4. I think there are five levels of infinity.
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