An article just published in Quanta Magazine by Natalie Wolchover covers a recent result from reverse mathematics. Keita Yokoyama and Ludovic Patey showed that Ramsey's theorem for pairs is finitistically reducible, i.e., it is $latex \Pi_3$ conservative over $latex I\Sigma_1$. The article explains Ramsey's theorem, but also Hilbert's program and its more recent relativizations, i.e., … Continue reading Quanta Magazine Covers Reverse Mathematics
Month: May 2016
CfA: Foundations of Mathematical Structuralism
12-14 October 2016 Munich Center for Mathematical Philosophy, LMU Munich In the course of the last century, different general frameworks for the foundations of mathematics have been investigated. The orthodox approach to foundations interprets mathematics in the universe of sets. More recently, however, there have been other developments that call into question the whole method … Continue reading CfA: Foundations of Mathematical Structuralism