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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.
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