Kairos 16 (1):124-141 (2016)

In this paper I concentrate on Euclidean diagrams, namely on those diagrams that are licensed by the rules of Euclid’s plane geometry. I shall overview some philosophical stances that have recently been proposed in philosophy of mathematics to account for the role of such diagrams in mathematics, and more particularly in Euclid’s Elements. Furthermore, I shall provide an original analysis of the epistemic role that Euclidean diagrams may have in empirical sciences, more specifically in physics. I shall claim that, although the world we live in is not Euclidean, Euclidean diagrams permit to obtain knowledge of the world through a specific mechanism of inference I shall call inheritance.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.1515/kjps-2016-0012
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 58,467
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

The Euclidean Diagram.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford University Press. pp. 80--133.
Proofs, Pictures, and Euclid.John Mumma - 2010 - Synthese 175 (2):255 - 287.

View all 18 references / Add more references

Citations of this work BETA

Explicaciones Geométrico-Diagramáticas en Física desde una Perspectiva Inferencial.Javier Anta - 2019 - Revista Colombiana de Filosofía de la Ciencia 38 (19).

Add more citations

Similar books and articles

Prolegomena to a Cognitive Investigation of Euclidean Diagrammatic Reasoning.Yacin Hamami & John Mumma - 2013 - Journal of Logic, Language and Information 22 (4):421-448.
Kant's Philosophy of Geometry.William Mark Goodwin - 2003 - Dissertation, University of California, Berkeley
Diagrams in Geometry.Isabel Palomino Luengo - 1995 - Dissertation, Indiana University
Euclidean Functions of Computable Euclidean Domains.Rodney G. Downey & Asher M. Kach - 2011 - Notre Dame Journal of Formal Logic 52 (2):163-172.
Rethinking Our Understanding of Diagrams.Kamaran Fathulla - 2011 - Semiotica 2011 (184):123-137.


Added to PP index

Total views
7 ( #1,012,744 of 2,421,247 )

Recent downloads (6 months)
1 ( #543,757 of 2,421,247 )

How can I increase my downloads?


My notes