An axiomatic look at a windmill

2012/09/26 by Victor Pambuccian, Pambuccian, Victor
Mathematics · #03B30 #51G05 #52A01 #FOS: Mathematics #Logic (math.LO) #Metric Geometry (math.MG) #math.LO #math.MG #msc:03B30 #msc:51G05 #msc:52A01

paper · pdf · doi:10.48550/arxiv.1209.5979

10 pages

arxiv created 2012/09/26 · arxiv updated 2012/09/27

Abstract

We present the problem stated in intuitive language as problem 2 at the 52nd International Mathematical Olympiad as a formal statement, and prove that it is valid in ordered regular incidence planes, the weakest ordered geometry whose models can be embedded in projective ordered planes.

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