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MF57: Polynomials and polynumbers

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Uploaded on May 2, 2010

We begin the important task of defining the fundamental objects of modern algebra. First we review different roles played by polynomials. We are going to base polynomials on something more fundamental called polynumbers, whose arithmetic parallels but is richer than that of the natural numbers and rational numbers.

This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discussing the serious logical difficulties entwined in modern pure mathematics. The full playlist is at http://www.youtube.com/playlist?list=...

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