Philosophia Mathematica:nkv027 (2015)
| Authors |
|
| Abstract |
A detailed argument is provided for the thesis that Dedekind was a logicist about arithmetic. The rules of inference employed in Dedekind's construction of arithmetic are, by his lights, all purely logical in character, and the definitions are all explicit; even the definition of the natural numbers as the abstract type of simply infinite systems can be seen to be explicit. The primitive concepts of the construction are logical in their being intrinsically tied to the functioning of the understanding.
|
| Keywords | No keywords specified (fix it) |
| Categories | (categorize this paper) |
| DOI | 10.1093/philmat/nkv027 |
| Options |
Mark as duplicate
Export citation
Request removal from index
|
Download options
References found in this work BETA
Grundlagen der Arithmetik: Studienausgabe MIT Dem Text der Centenarausgabe.Gottlob Frege - 1884 - Breslau: Wilhelm Koebner Verlag.
The Reason's Proper Study: Essays Towards a Neo-Fregean Philosophy of Mathematics.Crispin Wright & Bob Hale - 2001 - Oxford: Clarendon Press.
View all 29 references / Add more references
Citations of this work BETA
Dedekind and Wolffian Deductive Method.José Ferreirós & Abel Lassalle-Casanave - forthcoming - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-21.
What are Implicit Definitions?Eduardo N. Giovannini & Georg Schiemer - 2021 - Erkenntnis 86 (6):1661-1691.
Similar books and articles
Frege, Dedekind, and the Origins of Logicism.Erich H. Reck - 2013 - History and Philosophy of Logic 34 (3):242-265.
Dedekind and Hilbert on the Foundations of the Deductive Sciences.Ansten Klev - 2011 - Review of Symbolic Logic 4 (4):645-681.
A Note on Weakly Dedekind Finite Sets.Pimpen Vejjajiva & Supakun Panasawatwong - 2014 - Notre Dame Journal of Formal Logic 55 (3):413-417.
Focus Restored Comment on John MacFarlane's “Double Vision: Two Questions About the Neo-Fregean Programme”.Bob Hale & Crispin Wright - unknown
A General Setting for Dedekind's Axiomatization of the Positive Integers.George Weaver - 2011 - History and Philosophy of Logic 32 (4):375-398.
Strongly Amorphous Sets and Dual Dedekind Infinity.Martin Goldstern - 1997 - Mathematical Logic Quarterly 43 (1):39-44.
Sobre Las Posibilidades de Una Equivalencia Para El Fundamento de la Aritmética.Carlos Álvarez - 1987 - Theoria 2 (2):345-364.
On Dedekind Complete o-Minimal Structures.Anand Pillay & Charles Steinhorn - 1987 - Journal of Symbolic Logic 52 (1):156-164.
The Development of Arithmetic in Frege's Grundgesetze der Arithmetik.Richard Heck - 1993 - Journal of Symbolic Logic 58 (2):579-601.
Analytics
Added to PP index
2015-09-17
Total views
37 ( #307,070 of 2,506,503 )
Recent downloads (6 months)
1 ( #416,791 of 2,506,503 )
2015-09-17
Total views
37 ( #307,070 of 2,506,503 )
Recent downloads (6 months)
1 ( #416,791 of 2,506,503 )
How can I increase my downloads?
Downloads
