Peter Railton (Michigan): First Steps Toward an Epistemology of Intuition in Ethics
Abstract: Appeals to intuition and intuitions have figured in philosophy at least since Socrates, and in the intervening millennia intuition and intuitions have been put to use for a variety of philosophical purposes, especially, in order to escape worries about regress in perception, thought, and action. Today, the method of appealing to intuitions in thought experiments has become central to many areas of philosophy—though there has been some dissent over...
Theodore A. Slaman (University of California Berkeley): Recursion Theory and Diophantine Approximation
Recursion Theory deals with the definability of sets, especially sets of natural numbers or equivalently real numbers. Diophantine Approximation deals with the approximation of real numbers by rational numbers, which can be viewed as a number theoretic form of definability. We will discuss connections between these areas.
The conference will bring together economists and philosophers to discuss normative issues at the boundary of the two disciplines. Presentations and discussions will be of broad interest to scholars in the social sciences and the humanities. We invite faculty members and graduate students with research interests in this area, as well as undergraduates and other interested scholars, to join us. For more information visit www.hbs.edu/faculty/conferences/2016-newe
Joel Hamkins (City University of New York): Recent Advances in Set-theoretic Geology
Set-theoretic geology is the study of the set-theoretic universe V in the context of all its ground models and those of its forcing extensions. For example, a bedrock of the universe is a minimal ground model of it and the mantle is the intersection of all grounds. In this talk, I shall explain some recent advances, including especially the breakthrough result of Toshimichi Usuba, who proved the strong downward directed grounds hypothesis: for any set-indexed family of...