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Philosophy of mathematics is moving in a new direction: awayfrom a foundationalism in terms of formal logic and traditionalontology, and towards a broader range of approaches thatare united by a focus on mathematical practice.The scientific research network PhiMSAMP (Philosophy ofMathematics: Sociological Aspects and MathematicalPractice) consisted of researchers from a variety ofbackgrounds and fields, brought together by their commoninterest in the shift of philosophy of mathematics towardsmathematical practice. Hosted by the Rheinische Friedrich-Wilhelms-Universität Bonn and funded by the DeutscheForschungsgemeinschaft (DFG) from 2006-2010, thenetwork organized and contributed to a number of workshopsand conferences on the topic of mathematical practice.The refereed contributions in this volume represent theresearch results of the network and consists of contributionsof the network members as well as selected paper versions ofpresentations at the network’s mid-term conference, 'Ismathematics special?' (PhiMSAMP-3) held in Vienna 2008.