Diagrams in mathematics: history and philosophy

Synthese 186 (1):1-5 (2012)
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Abstract

Diagrams are ubiquitous in mathematics. From the most elementary class to the most advanced seminar, in both introductory textbooks and professional journals, diagrams are present, to introduce concepts, increase understanding, and prove results. They thus fulfill a variety of important roles in mathematical practice. Long overlooked by philosophers focused on foundational and ontological issues, these roles have come to receive attention in the past two decades, a trend in line with the growing philosophical interest in actual mathematical practice

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Author Profiles

John Mumma
California State University, San Bernardino
Marco Panza
Centre National de la Recherche Scientifique

Citations of this work

A formal system for euclid’s elements.Jeremy Avigad, Edward Dean & John Mumma - 2009 - Review of Symbolic Logic 2 (4):700--768.
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Visual Metaphors in the Sciences: The Case of Epigenetic Landscape Images.Jan Baedke & Tobias Schöttler - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (2):173-194.
Visual Metaphors in the Sciences: The Case of Epigenetic Landscape Images.Jan Baedke & Tobias Schöttler - 2016 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie:1-22.

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