ABSTRACT

We provide a brief outline of a logicist foundation for mathematics, charting various theoretical complications and ramifications. The historical evolution of the logicist tradition is then traced, starting from its originators (Frege, Dedekind, and Russell above all), looking at later interactions with rival and cognate views and schools (Hilbert’s, Husserl’s, Peano’s, and Carnap’s, among others) and delineating the current status of the debate and the prospects for future development. We then provide an overview of the main themes of the volume and a summary of the contributed chapters.