TY - BOOK AU - Arana,Andrew AU - Blanchette,Patricia A. AU - Crosilla,Laura AU - Detlefsen,Michael AU - Link,Godehard AU - Mühlhölzer,Felix AU - Niebergall,Karl-Georg AU - Polański,Marek AU - Roth,Daniel AU - Schirn,Matthias AU - Schneider,Gregor AU - Schuster,Peter AU - Ziche,Paul TI - Formalism and Beyond: On the Nature of Mathematical Discourse T2 - Logos : Studien zur Logik, Sprachphilosophie und Metaphysik , SN - 9781614518297 PY - 2014///] CY - Berlin, Boston : PB - De Gruyter, KW - Logic, Symbolic and mathematical KW - Mathematics KW - Philosophy KW - History of mathematics KW - Philosophy of mathematics KW - PHILOSOPHY / Logic KW - bisacsh KW - history of mathematics KW - mathematics N1 - Frontmatter --; Contents --; Preface --; Duality, Epistemic Efficiency & Consistency --; Frege on Quantities and Real Numbers in Consideration of the Theories of Cantor, Russell and Others --; Frege on Formality and the 1906 Independence-Test --; Formal Discourse in Russell: From Metaphysics to Philosophical Logic --; On Live and Dead Signs in Mathematics --; Generalization and the Impossible: Issues in the search for generalized mathematics around 1900 --; Assumptions of Infinity --; The Interpretation of Classes in Axiomatic Set Theory --; Purity in Arithmetic: some Formal and Informal Issues --; Domain Extensions and Higher-Order Syntactical Interpretations --; Finite Methods in Mathematical Practice --; List of Contributors --; Name Index; restricted access; Issued also in print N2 - The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic conceptual and logical analyses, the volume provides a thorough, up-to-date account of the subject UR - https://doi.org/10.1515/9781614518471 UR - https://www.degruyter.com/isbn/9781614518471 UR - https://www.degruyter.com/document/cover/isbn/9781614518471/original ER -