Erkenntnis 68 (3):331-344 (2008)

Authors
Alan Baker
Swarthmore College
Abstract
The rise of the field of “ experimental mathematics” poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, non-empirical endeavor. This paper surveys different attempts to characterize experimental mathematics. One suggestion is that experimental mathematics makes essential use of electronic computers. A second suggestion is that experimental mathematics involves support being gathered for an hypothesis which is inductive rather than deductive. Each of these options turns out to be inadequate, and instead a third suggestion is considered according to which experimental mathematics involves calculating instances of some general hypothesis. The paper concludes with the examination of some philosophical implications of this characterization
Keywords Philosophy   Logic   Ethics   Ontology   Epistemology   Philosophy
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DOI 10.1007/s10670-008-9109-y
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References found in this work BETA

Mathematical Explanation.Mark Steiner - 1978 - Philosophical Studies 34 (2):135 - 151.
Non-Deductive Logic in Mathematics.James Franklin - 1987 - British Journal for the Philosophy of Science 38 (1):1-18.

View all 6 references / Add more references

Citations of this work BETA

Knowledge of Mathematics Without Proof.Alexander Paseau - 2015 - British Journal for the Philosophy of Science 66 (4):775-799.
Non-Deductive Logic in Mathematics.James Franklin - 1987 - British Journal for the Philosophy of Science 38 (1):1-18.
The Ordinary and the Experimental: Cook Wilson and Austin on Method in Philosophy.Guy Longworth - 2018 - British Journal for the History of Philosophy 26 (5):939-960.

View all 7 citations / Add more citations

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