David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
In Benedikt Löwe, Volker Peckhaus & T. Rasch (eds.), Foundations of the Formal Sciences IV. College Publications 233–253 (2006)
This paper is a contribution to the question of how aspects of science have been perceived through history. In particular, I will discuss how the contribution of axiomatics to the development of science and mathematics was viewed in 20th century philosophy of science and philosophy of mathematics. It will turn out that in connection with scientiﬁc methodology, in particular regarding its use in the context of discovery, axiomatics has received only very little attention. This is a rather surprising result, since axiomatizations have been employed extensively in mathematics, science, and also by the philosophers themselves.
|Keywords||Axiomatics Mathematical progress Philosophy of Mathematics|
|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
Dirk Schlimm (2011). On the Creative Role of Axiomatics. The Discovery of Lattices by Schröder, Dedekind, Birkhoff, and Others. Synthese 183 (1):47-68.
Similar books and articles
Torsten Wilholt (2006). Lost on the Way From Frege to Carnap: How the Philosophy of Science Forgot the Applicability Problem. Grazer Philosophische Studien 73 (1):69-82.
Roman Murawski (2006). Philosophy of Mathematics in the 20th Century: Main Trends and Doctrines. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):331-347.
Vladimir Tasić (2001). Mathematics and the Roots of Postmodern Thought. Oxford University Press.
Steve Awodey & Erich H. Reck, Completeness and Categoricity, Part I: 19th Century Axiomatics to 20th Century Metalogic.
Volker Peckhaus (1997). The Way of Logic Into Mathematics. Theoria 12 (1):39-64.
Solomon Feferman, The Development of Programs for the Foundations of Mathematics in the First Third of the 20th Century.
Christopher Pincock (2011). Philosophy of Mathematics. In J. Saatsi & S. French (eds.), Companion to the Philosophy of Science. Continuum 314-333.
Thomas Mormann (2013). Topology as an Issue for History of Philosophy of Science. In Hanne Andersen, Dennis Dieks, Wenceslao J. Gonzalez, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer 423--434.
Edward N. Zalta (2007). Reflections on Mathematics. In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP
Added to index2010-01-19
Total downloads19 ( #193,876 of 1,796,170 )
Recent downloads (6 months)0
How can I increase my downloads?