Uri D. Leibowitz – författare

How far should our realism extend? For many years philosophers of mathematics and philosophers of ethics have worked independently to address the question of how best to understand the entities apparently referred to by mathematical and ethical talk. But the similarities between their endeavours are not often emphasised. This book provides that emphasis. In particular, it focuses on two types of argumentative strategies that have been deployed in both areas. The first--debunking arguments--aims to put pressure on realism by emphasising the seeming redundancy of mathematical or moral entities when it comes to explaining our judgements. In the moral realm this challenge has been made by Gilbert Harman and Sharon Street; in the mathematical realm it is known as the 'Benacerraf-Field' problem. The second strategy--indispensability arguments--aims to provide support for realism by emphasising the seeming intellectual indispensability of mathematical or moral entities, for example when constructing good explanatory theories. This strategy is associated with Quine and Putnam in mathematics and with Nicholas Sturgeon and David Enoch in ethics. Explanation in Ethics and Mathematics addresses these issues through an explicitly comparative methodology which we call the 'companions in illumination' approach. By considering how argumentative strategies in the philosophy of mathematics might apply to the philosophy of ethics, and vice versa, the papers collected here break new ground in both areas. For good measure, two further companions for illumination are also broached: the philosophy of chance and the philosophy of religion. Collectively, these comparisons light up new questions, arguments, and problems of interest to scholars interested in realism in any area.

This book brings together scholars from ethics and philosophy of science in order to identify ways in which insights gleaned from one subfield can shed light on the other. The book focuses on two radical Anti-Theory movements that emerged in the 1970’s and 1980’s, one in philosophy of science and the other in ethics. Both movements challenged attempts to supply general, systematized philosophical theories within their domains and thus invited the reconsideration of what philosophical theorizing can and should offer. Each of these movements was domain-specific – that is, each criticized the aspirations to philosophical theories within its own domain and advanced arguments aimed at philosophers within their own specific subfield. The innovative systematic comparative examination of these movements by scholars from each domain sheds new light on some familiar debates, offers new and exciting paths of research to pursue in each domain, provides insight into the place of science and ethics in contemporary life and culture, and enables a fresh view on the longstanding and alluring philosophical aspiration for a fully general, absolute theory of reality and an ultimate objective foundational theory of knowledge.