Functions and Generality of Logic Reflections on Dedekind's and Freg

This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it pla

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Hourya Benis-Sinaceur Marco Panza Gabriel Sandu

Functions and Generality of Logic Reflections on Dedekind’s and Frege’s Logicisms

Logic, Epistemology, and the Unity of Science Volume 37

Series editors Shahid Rahman, University of Lille III, France John Symons, University of Texas at El Paso, USA Editorial Board Jean Paul van Bendegem, Free University of Brussels, Belgium Johan van Benthem, University of Amsterdam, The Netherlands Jacques Dubucs, CNRS/Paris IV, France Anne Fagot-Largeault, Collège de France, France Göran Sundholm, Universiteit Leiden, The Netherlands Bas van Fraassen, Princeton University, USA Dov Gabbay, King’s College London, UK Jaakko Hintikka, Boston University, USA Karel Lambert, University of California, Irvine, USA Graham Priest, University of Melbourne, Australia Gabriel Sandu, University of Helsinki, Finland Heinrich Wansing, Ruhr-University Bochum, Germany Timothy Williamson, Oxford University, UK

Logic, Epistemology, and the Unity of Science aims to reconsider the question of the unity of science in light of recent developments in logic. At present, no single logical, semantical or methodological framework dominates the philosophy of science. However, the editors of this series believe that formal techniques like, for example, independence friendly logic, dialogical logics, multimodal logics, game theoretic semantics and linear logics, have the potential to cast new light on basic issues in the discussion of the unity of science. This series provides a venue where philosophers and logicians can apply specific technical insights to fundamental philosophical problems. While the series is open to a wide variety of perspectives, including the study and analysis of argumentation and the critical discussion of the relationship between logic and the philosophy of science, the aim is to provide an integrated picture of the scientific enterprise in all its diversity.

More information about this series at http://www.springer.com/series/6936

Hourya Benis-Sinaceur Marco Panza Gabriel Sandu •

Functions and Generality of Logic Reflections on Dedekind’s and Frege’s Logicisms

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Hourya Benis-Sinaceur CNRS (IHPST, CNRS and University of Paris 1, Panthéon-Sorbonne) Paris France

Gabriel Sandu Department of Philosophy University of Helsinki Helsinki Finland

Marco Panza CNRS (IHPST, CNRS and University of Paris 1, Panthéon-Sorbonne) Paris France

ISSN 2214-9775 ISSN 2214-9783 (electronic) Logic, Epistemology, and the Unity of Science ISBN 978-3-319-17108-1 ISBN 978-3-319-17109-8 (eBook) DOI 10.1007/978-3-319-17109-8 Library of Congress Control Number: 2015938757 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and ret