Functions and Generality of Logic

Hourya Benis Sinaceur is Research Director at the CNRS. Her publications include Corps et Modèles, Paris, Vrin, 1991, second ed. 1999; Le labyrinthe du continu (co-ed. with avec J.-M. Salanskis), Springer-Verlag France,1992, Cavaillès. Philosophie mathématique, Paris, PUF, 1994; “Tarski's Address at the Princeton University Bicentennial Conference on problems of Mathematics (December 17-19, 1946)”, typescript ed. with additional material and an Introduction, The Bulletin of Symbolic Logic, vol. 6, n° 1 (Mars 2000), p. 1-44; “Alfred Tarski : Semantic shift, heuristic shift in Metamathematics”, Synthese 126, pp. 49-65, 2001. She is member of the Comité National d'Histoire et Philosophie des Sciences de l'Académie des Sciences de Paris and Membre correspondant de l’Académie Internationale d’Histoire des Sciences. Marco Panza is Research Director at the CNRS. He is the author of several book and paper (published in several idioms) concerning history and philosophy of mathematics. The former include: Newton et les orgines de l’Analyse: 1664-1666, Blanchard, Paris, 2005; Plato’s Problem. Introduction to Mathematical Platonism, Palgrave MacMillan, Bsingstoke (UK), 2013 (co-authored with Andrea Sereni). He is member of the Steering Committee of the Association for the Philosophy of Mathematical Practice (APMP), which he contributed to found. Gabriel Sandu is professor of theoretical philosophy whose main contributions are in logic, game-theoretical semantics, IF logic, and truth theories. He also published on Frege and Ransey. His publications includes: Independence-friendli Logic: A game-theoretic approach, CUP, Cambridge, 2011 (Coauthored with A. Mann and M. Sevenster); On the methodology of lingustics: A case study, Blackwell, Oxford, 1991 (Coauthored with J. Hintikka).

• Chapter 1: Is Dedekind a logicist?; Hourya Benis Sinaceur.- Chapter 2: Functions and Expressions; Marco Panza.- Chapter 3: Frege, Russell, Ramsey on arbitrary functions; Gabriel Sandu.

"This book brings together three independently written but complementary contributions on logicism by three experienced specialists. ... All in all, the book contributes to an enhanced understanding of the nature, the motives, and the mutual differences between various forms of logicism. ... The book provides highly interesting advanced reading for anyone concerned with the systematic and historical details of logicism. It also includes a shared introduction for all three chapters." (Risto Vilkko, Mathematical Reviews, February, 2016) "The aim of the book is to shed some light onto the roots of logicism, especially in Frege's approach, but also in Dedekind's writings. ... This book is an example of excellent historical analysis of foundational questions. It is of particular interest for researchers in the philosophy of mathematics." (Andrzej Indrzejczak, zbMATH 1330.03009, 2016)