On 17-18 February 2011 the third installment of PhDs in Logic took place at the Academy Palace in Brussels, Belgium. Some forty European logicians gathered to discuss a diverse range of topics in mathematical and philosophical logic. PhDs in Logic is an annual series of graduate conferences/winter schools, run for and by PhD students. The winter school consists of tutorials taught by well established researchers; the graduate conference provides young logicians with an excellent opportunity to share their results with a large audience of peers and established logicians. This volume bundles thirteen of the papers presented at the graduate conference of PhDs in Logic III. These papers deal with a wide variety of topics, coming from subfields such as algebraic logic, set theory, and philosophical logic. All papers share the common goal of advancing the boundaries of research in logic and its applications, thus turning this volume into a unique overview of what's hot and upcoming in the field of logic.

It has been observed many times before that, as yet, there are no encompassing, integrated theories of mathematical practice available.To witness, as we currently do, a variety of schools in this field elaborating their philosophical frameworks, and trying to sort out their differences in the course of doing so, is also to be constantly reminded of the fact that a lot of epistemic aspects, extremely relevant to this task, remain dramatically underexamined. This volume wants to contribute to the stock of studies filling this perceived lacuna. It contains papers by established, upcoming, as well as beginning scholars, covering general, metaphilosophical themes such as naturalism, semiotics, pragmaticism, or empiricism, next to more specific topics including the unity of mathematical theories, thruth-flow in mathematics, diagrammatic reasoning, erroneous argumentation, or numerical analysis.