Exploratory experimentation in experimental mathematics: A glimpse at the PSLQ algorithm

In Benedikt Löwe & Thomas Müller (eds.), PhiMSAMP. Philosophy of Mathematics: Sociological Aspects and Mathematical Practice. College Publications. pp. 341--360 (2010)
Authors
Henrik Sørensen
University of Aarhus
Abstract
In the present paper, I go beyond these examples by bringing into play an example that I nd more experimental in nature, namely that of the use of the so-called PSLQ algorithm in researching integer relations between numerical constants. It is the purpose of this paper to combine a historical presentation with a preliminary exploration of some philosophical aspects of the notion of experiment in experimental mathematics. This dual goal will be sought by analysing these aspects as they are presented by some of the protagonists of the eld and discussing them using notions from contemporary philosophy of science.
Keywords experimental mathematics  exploratory experimentation  wide instrumentation
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