July 2013
Intermediate to advanced
282 pages
6h 28m
English
Content preview from Good MathBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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The Insanity of Choice
The only one of the axioms that’s really difficult to understand is the axiom of choice. And that itself makes sense, because even among mathematicians, the axiom of choice is downright controversial in some circles. There’s a bunch of variations of it, or different ways of ultimately saying the same thing. But they all end up with the same problems. And those problems are whoppers. But dumping choice also has some serious problems.
To understand just what makes choice such a problem, it’s easiest to use a variation of it. To be clear about what I mean by a variation: it’s not just a restatement of the axiom of choice in different language, but a statement that ends up proving the same things. For example, we’re going ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
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.