In Benedikt Löwe, Volker Peckhaus & T. Rasch (eds.), Foundations of the Formal Sciences IV. College Publications. pp. 233–253 (2006)
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| Abstract |
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.
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| Keywords | Axiomatics Mathematical progress Philosophy of Mathematics |
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References found in this work BETA
An Unreal Image. [REVIEW]John Worrall - 1984 - British Journal for the Philosophy of Science 35 (1):65-80.
Structures of Scientific Theories1.Carl F. Craver - 2002 - In Peter Machamer Michael Silberstein (ed.), The Blackwell Guide to the Philosophy of Science. Blackwell. pp. 7--55.
Citations of this work BETA
On the Creative Role of Axiomatics. The Discovery of Lattices by Schröder, Dedekind, Birkhoff, and Others.Dirk Schlimm - 2011 - Synthese 183 (1):47-68.
Resources for Research on Analogy: A Multi-Disciplinary Guide.Marcello Guarini, Amy Butchart, Paul Simard Smith & Andrei Moldovan - 2009 - Informal Logic 29 (2):84-197.
Two Ways of Analogy: Extending the Study of Analogies to Mathematical Domains.Dirk Schlimm - 2008 - Philosophy of Science 75 (2):178-200.
Bibliography of Structuralism III.Cláudio Abreu, Pablo Lorenzano & Ulises Moulines - 2013 - Metatheoria 3 (2):01-36.
Preuves intuitionnistes touchant la première philosophie.Joseph Vidal-Rosset - 2013 - In . Les Cahiers D'Ithaque.
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