July 2013
Intermediate to advanced
282 pages
6h 28m
English
Content preview from Good Math
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The Continuum Hypothesis
Cantor proposed that the first infinite set larger than ℵ0 was of size of the powerset of ℵ0, which is the size of the set of reals. That proposition is known as the continuum hypothesis. If the continuum hypothesis is true, then
The continuum hypothesis turns out to be a really sticky problem. In the model of numbers constructed from set theory (and thus, in all set-theoretic mathematics!), it’s neither true nor false. That is, you can choose to treat it as true, and all of ZFC mathematics will be fine, because you’ll never be able to prove a contradiction. But you also can take it as being false, and still you won’t ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.