Erkenntnis 78 (5):1025-1036 (2013)

Jeffrey Barrett
University of California, Irvine
Skyrms-Lewis sender-receiver games with invention allow one to model how a simple mathematical language might be invented and become meaningful as its use coevolves with the basic arithmetic competence of primitive mathematical inquirers. Such models provide sufficient conditions for the invention and evolution of a very basic sort of arithmetic language and practice, and, in doing so, provide insight into the nature of a correspondingly basic sort of mathematical knowledge in an evolutionary context. Given traditional philosophical reflections concerning the nature and preconditions of mathematical knowledge, these conditions are strikingly modest
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DOI 10.1007/s10670-012-9398-z
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References found in this work BETA

Convention: A Philosophical Study.David Kellogg Lewis - 1969 - Cambridge, MA, USA: Wiley-Blackwell.
Signals.Brian Skyrms - 2008 - Philosophy of Science 75 (5):489-500.

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Citations of this work BETA

Self-Assembling Games.Jeffrey A. Barrett & Brian Skyrms - 2017 - British Journal for the Philosophy of Science 68 (2):329-353.
On the Evolution of Truth.Jeffrey Barrett - 2016 - Erkenntnis 81 (6):1323-1332.

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