To Prove the Evident: On the Inferential Role of Euclidean Diagrams

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Title:To Prove the Evident: On the Inferential Role of Euclidean Diagrams
Creators:
Crippa, Davide; davide dot crippa at gmail dot com; REHSEIS, Université Paris 7 – Denis Diderot, Case 7064, 5 rue Th omas Mann, 75205 Paris Cedex 13, France
Journal or Publication Title:
Teorie vědy / Theory of Science, 31, 2, pp. 101-112
Uncontrolled Keywords:diagrams; Euclid; inference; proof

Abstract

Diagrams have been rightly acknowledged to license inferences in Euclid’s geometric practice. However, if on one hand purely visual proofs are to be found nowhere in the Elements, on the other, fully fledged proofs of diagrammatically evident statements are offered, as in El. I. 20: “In any triangle the sum of two sides is greater than the third.” In this paper I will explain, taking as a starting point Kenneth Manders’ analysis of Euclidean diagram, how exact and co-exact claims enter proposition I. 20. Then, I will ultimately argue that this proposition serves broader explanatory purposes, enhancing control on diagram appearance.

Official URL: http://teorievedy.flu.cas.cz

Title:To Prove the Evident: On the Inferential Role of Euclidean Diagrams
Creators:
Crippa, Davide; davide dot crippa at gmail dot com; REHSEIS, Université Paris 7 – Denis Diderot, Case 7064, 5 rue Th omas Mann, 75205 Paris Cedex 13, France
Uncontrolled Keywords:diagrams; Euclid; inference; proof
Subjects:B Philosophy. Psychology. Religion > B Philosophy (General)
Divisions:Humanities and Social Sciences > 9. Section of Humanities and Philology > Institute of Philosophy > Teorie vědy (Theory of Science)
Journal or Publication Title:Teorie vědy / Theory of Science
Volume:31
Number:2
Page Range:pp. 101-112
ISSN:1210-0250
Publisher:Kabinet pro studium vědy, techniky a společnosti při Filosofickém ústavu Akademie věd České republiky
Related URLs:
URLURL Type
http://teorievedy.flu.cas.cz/index.php/tv/article/view/30UNSPECIFIED
ID Code:5951
Item Type:Article
Deposited On:11 Jun 2010 22:56
Last Modified:11 Jun 2010 22:56

Citation

Crippa, Davide (2009) To Prove the Evident: On the Inferential Role of Euclidean Diagrams. Teorie vědy / Theory of Science, 31 (2). pp. 101-112. ISSN 1210-0250

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