Philosophia Mathematica 27 (2):199-218 (2019)

Nicolas Fillion
Simon Fraser University
ABSTRACT This paper examines consequences of the computer revolution in mathematics. By comparing its repercussions with those of conceptual developments that unfolded in the nineteenth century, I argue that the key epistemological lesson to draw from the two transformative periods is that effective and successful mathematical practices in science result from integrating the computational and conceptual styles of mathematics, and not that one of the two styles of mathematical reasoning is superior. Finally, I show that the methodology deployed by applied mathematicians in modern scientific computing is a paradigmatic instance of this key lesson.
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DOI 10.1093/philmat/nkz005
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References found in this work BETA

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - University of Chicago Press.
Science in the Age of Computer Simulation.Eric Winsberg - 2010 - University of Chicago Press.

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