David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
In The Historical Turn in Analytic Philosophy. Palgrave Macmillan (2013)
The philosophy of mathematics has long been an important part of philosophy in the analytic tradition, ever since the pioneering works of Frege and Russell. Richard Dedekind was roughly Frege's contemporary, and his contributions to the foundations of mathematics are widely acknowledged as well. The philosophical aspects of those contributions have been received more critically, however. In the present essay, Dedekind's philosophical reception is reconsidered. At the essay’s core lies a comparison of Frege's and Dedekind's legacies, within and outside of analytic philosophy. While the comparison proceeds historically, it is shaped by current philosophical concerns, especially by debates about neo-logicist and neo-structuralist views. In fact, philosophical and historical considerations are intertwined thoroughly, to the benefit of both. The underlying motivation is to rehabilitate Dedekind as a major philosopher of mathematics, in relation, but not necessarily in opposition, to Frege
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Erich H. Reck (2003). Dedekind's Structuralism: An Interpretation and Partial Defense. Synthese 137 (3):369 - 419.
Richard Heck (1998). The Finite and the Infinite in Frege's Grundgesetze der Arithmetik. In M. Schirn (ed.), Philosophy of Mathematics Today. OUP
Richard Heck (1995). Frege's Principle. In J. Hintikka (ed.), From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics. Kluwer
Richard Heck (1993). The Development of Arithmetic in Frege's Grundgesetze der Arithmetik. Journal of Symbolic Logic 58 (2):579-601.
Edward N. Zalta, Frege's Logic, Theorem, and Foundations for Arithmetic. Stanford Encyclopedia of Philosophy.
Jan Wolenński (1997). Hans Sluga (Ed.), The Philosophy of Frege. A Four-Volume Collection of Scholarly Articles on All Aspects of Frege's Philosophy, Vol.1: General Assessments and Historical Accounts of Frege's Philosophy, Vol.2: Logic and Foundations of Mathematics in Frege's Philosophy, Vol.3: Meaning and Ontology in Frege's Philosophy, Vol.4: Sense and Reference in Frege's Philosophy. [REVIEW] Erkenntnis 46 (3):407-410.
Ansten Klev (2011). Dedekind and Hilbert on the Foundations of the Deductive Sciences. Review of Symbolic Logic 4 (4):645-681.
George Weaver (2003). The First-Order Theories of Dedekind Algebras. Studia Logica 73 (3):337 - 365.
Erich H. Reck (2009). Dedekind, Structural Reasoning, and Mathematical Understanding. In Bart Van Kerkhove (ed.), New Perspectives on Mathematical Practices: Essays in Philosophy and History of Mathematics. World Scientific 150--173.
Added to index2012-09-05
Total downloads30 ( #105,336 of 1,726,249 )
Recent downloads (6 months)4 ( #183,615 of 1,726,249 )
How can I increase my downloads?