Constructive geometrical reasoning and diagrams

Synthese 186 (1):103-119 (2012)
Modern formal accounts of the constructive nature of elementary geometry do not aim to capture the intuitive or concrete character of geometrical construction. In line with the general abstract approach of modern axiomatics, nothing is presumed of the objects that a geometric construction produces. This study explores the possibility of a formal account of geometric construction where the basic geometric objects are understood from the outset to possess certain spatial properties. The discussion is centered around Eu , a recently developed formal system of proof (presented in Mumma (Synthese 175:255–287, 2010 )) within which Euclid’s diagrammatic proofs can be represented
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/s11229-011-9981-x
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 16,667
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
Dirk Schlimm (2010). Pasch's Philosophy of Mathematics. Review of Symbolic Logic 3 (1):93-118.

View all 12 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles
Nathaniel Miller (2012). On the Inconsistency of Mumma's Eu. Notre Dame Journal of Formal Logic 53 (1):27-52.

Monthly downloads

Added to index


Total downloads

39 ( #85,375 of 1,726,249 )

Recent downloads (6 months)

2 ( #289,836 of 1,726,249 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.