Mike Weimerskirch
Based on the work of John H. Conway, "On Numbers and Games". The talk describes the construction of the partially ordered field of games (of which the real numbers are a subfield). The construction combines the ideas employed by Dedekind in constructing the real numbers from the rationals, and by Cantor and von Neumann in constructing the ordinal numbers from sets. The elegance of the theory is that the real numbers (and much more) are created with out any assumptions.
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