Axiomatics and progress in the light of 20th century philosophy of science and mathematics

In Benedikt Löwe, Volker Peckhaus & T. Rasch (eds.), Foundations of the Formal Sciences IV. College Publications. pp. 233–253 (2006)
Authors
Dirk Schlimm
McGill University
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.
Keywords Axiomatics  Mathematical progress  Philosophy of Mathematics
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