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davidbau.com | ||
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jaydaigle.net
This week we continue our exploration of what numbers are, and where mathematicians keep finding weird ones. Last time we defined the real numbers, but it took a lot of work. Now we'll see how truly strange they are. They're so strange that it's tempting to avoid them and stick with something simpler. But the real numbers do a much better job of describing modeling the parts of the world we care about. Their weirdness is exactly what we need to guarantee that a bunch of |
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ianwrightsite.wordpress.com
Are Cantor's higher infinities really real? |
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blog.demofox.org
An irrational number is a number that can't be represented as a fraction using integers for the numerator and denominator. I'm a big fan of irrational numbers, and one of the biggest reasons for that is that they are great at making low discrepancy sequences, which give amazing results when used in stochastic (randomized) algorithms,... |
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www.encyclopediaofmath.org
[AI summary] This text discusses the mathematical concept of standard Borel spaces, their properties, and related theorems in descriptive set theory. |
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