July 2013
Intermediate to advanced
282 pages
6h 28m
English
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18Models: Using Sets as the LEGOs of the Math World
Mathematicians like to say that they can re-create all of mathematics using set theory as a basis. What does that even mean?
Sets are amazingly flexible. With the basic structure given to us by sets in ZFC set theory, we can build anything. They’re basically a lot like the mathematical version of a kid’s LEGO set: they’re easy to put together in a lot of different ways, so you can use them to build whatever you want. You can pick pretty much any field of math and build the objects that you need using sets.
Suppose we wanted to build a new mathematical system, like topology. A simple way of describing topology is that it’s a way of studying the shape of a surface by looking at which points ...
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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.
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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.