COM 104 Lecture Notes - Lecture 8: Point Machine, Falsifiability, First-Order Logic
29 May 2018
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Pure Math
What is Pure Math?
Mathematics is both an art and a science, and pure mathematics lies at its heart.
Pure mathematics explores the boundary of mathematics and pure reason. It has
been described as "that part of mathematical activity that is done without explicit or
immediate consideration of direct application," although what is "pure" in one era
often becomes applied later. Finance and cryptography are current examples of
areas to which pure mathematics is applied in significant ways.
What is pure mathematics? What do pure mathematicians do? Why is pure
mathematics important?
These are questions I’m often confronted with when people discover I do pure
mathematics.
I always manage to provide an answer but it never seems to fully satisfy.
So I’ll attempt to give a more formulated and mature response to these three
questions. I apologise ahead of time for the oversimplifications I’ve had to make in
order to be concise.
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