Frege, Dedekind, and the Origins of Logicism (2013)
Reck, Erich H. (Author)
History and Philosophy of Logic
Volume: 34, no. 3
Issue: 3
Pages: 242-265
Edition Details: Part of a special issue, “Frege's Philosophy of Mathematics and Logic”
Language: English
This paper has a two-fold objective: to provide a balanced, multi-faceted account of the origins of logicism; to rehabilitate Richard Dedekind as a main logicist. Logicism should be seen as more deeply rooted in the development of modern mathematics than typically assumed, and this becomes evident by reconsidering Dedekind's writings in relation to Frege's. Especially in its Dedekindian and Fregean versions, logicism constitutes the culmination of the rise of `pure mathematics' in the nineteenth century; and this rise brought with it an inter-weaving of methodological and epistemological considerations. The latter aspect illustrates how philosophical concerns can grow out of mathematical practice, as opposed to being imposed on it from outside. It also sheds new light on the legacy and the lasting significance of logicism today.
...MoreArticle Lavers, Gregory (2013) Frege, Carnap, and Explication: “Our Concern Here Is to Arrive at a Concept of Number Usable for the Purpose of Science”. History and Philosophy of Logic (pp. 225-241).
Similar Citations
Book
Ricketts, Tom;
Potter, Michael D.;
(2010)
The Cambridge Companion to Frege
(/isis/citation/CBB001211647/)
Book
Künne, Wolfgang;
(2010)
Die Philosophische Logik Gottlob Freges: ein Kommentar; mit den Texten des Vorworts zu Grundgesetze der Arithmetik und der Logischen Untersuchungen I--IV
(/isis/citation/CBB001210615/)
Article
Schirn, Matthias;
(2010)
On Translating Frege's Die Grundlagen der Arithmetik
(/isis/citation/CBB001210971/)
Chapter
Beaney, Michael;
(2006)
Frege and the Role of Historical Elucidation: Methodology and the Foundations of Mathematics
(/isis/citation/CBB000800117/)
Article
John Woods;
(2021)
What did Frege take Russell to have proved?
(/isis/citation/CBB858610340/)
Chapter
Weiner, Joan;
(2010)
Understanding Frege's Project
(/isis/citation/CBB001211648/)
Book
Heijenoort, Jean van;
(2002)
From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931
(/isis/citation/CBB000201415/)
Article
Korte, Tapio;
(2010)
Frege's Begriffsschrift as a lingua characteristica
(/isis/citation/CBB001211456/)
Chapter
Thiel, Christian;
(2009)
Gottlob Frege and the Interplay between Logic and Mathematics
(/isis/citation/CBB001210345/)
Book
Frege, Gottlob;
(1999)
Idéographie
(/isis/citation/CBB000631020/)
Chapter
Goldfarb, Warren;
(2010)
Frege's Conception of Logic
(/isis/citation/CBB001211649/)
Article
Mark Textor;
(2021)
Saying Something about a Concept: Frege on Statements of Number
(/isis/citation/CBB227044624/)
Book
Richard Dedekind;
Heinrich Weber;
(2019)
Theorie Des Fonctions Algebriques d'Une Variable
(/isis/citation/CBB160173996/)
Chapter
Avigad, Jeremy;
(2006)
Methodology and Metaphysics in the Development of Dedekind's Theory of Ideals
(/isis/citation/CBB000800121/)
Article
Schlimm, Dirk;
(2011)
On the Creative Role of Axiomatics. The Discovery of Lattices by Schröder, Dedekind, Birkhoff, and Others
(/isis/citation/CBB001211472/)
Chapter
Tappenden, Jamie;
(2006)
The Riemannian Background to Frege's Philosophy
(/isis/citation/CBB000800119/)
Thesis
David E. Dunning;
(2020)
Writing the Rules of Reason: Notations in Mathematical Logic, 1847–1937
(/isis/citation/CBB517005733/)
Book
Weiner, Joan;
(2004)
Frege Explained: From Arithmetic to Analytic Philosophy
(/isis/citation/CBB000772767/)
Article
Angelelli, Ignacio;
(2012)
Frege's Ancestral and Its Circularities
(/isis/citation/CBB001214121/)
Article
Günther Eder;
(2021)
Frege on intuition and objecthood in projective geometry
(/isis/citation/CBB221284966/)
Be the first to comment!