Philosophy of Mathematics examines some of the philosophical presumptions behind mathematics. Here are some very basic examples. Are
numbers real—that is, do they exist either as objects (the Number One), or as
properties of other objects (one piece of paper)? If they don’t exist in any way, then how can
mathematical statements (1 + 1 = 2) manage to be true? How, then, can mathematics actually One goal of the course is to further develop (past 101
and the student’s 2xx PL course) the student's sense both of what makes an
argument a good argument, and of what sorts of conclusions are worth arguing
for, in the first place. (It is the special feature of PL 3xx courses to |

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