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29 - 31 July 2019, 2nd Forcing Project Networking Conference (FPNC 2019): Set Theory, Bridging Maths & Philosophy, Konstanz, Germany
The project “Forcing: Conceptual Change in the Foundations of Mathematics” (2018-2023) aims to analyse the development of modern set theory since the introduction of the forcing technique both from a historical and philosophical point of view. It brings together methods and research questions from different research areas in the history and philosophy of mathematics to investigate if and how the extensive use of the forcing method brought about a conceptual change in set theory; and in which ways this may influence the philosophy of set theory and the foundations of mathematics.
The research group organises a series of Networking Conferences with the goal of reaching out to researchers from these different areas. The second instalment will be devoted to the topic of recent set theory as a bridge between mathematics and philosophy and focuses on the interaction between mathematical and philosophical arguments and views in set theory. Set theory has long been both a mathematical discipline and a program with foundational motivations. It seems that this dual character makes it a natural crossway between mathematics and philosophy, possibly more so than other mathematical disciplines.
We welcome contributions which
a) add to current discussions in the philosophy of set theory by relating philosophical and mathematical arguments to one another; by working out the philosophical import of set-theoretic results; or by giving set-theoretic explications of philosophical concepts;
b) question or uphold the relevance of philosophical arguments in set theory.
c) analyse the mathematical and philosophical content of the concept "set-theoretic practice" as used in recent set-theoretic programs.
d) investigate how the inclusion of alternative set theories impact the philosophy of set theory.
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