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

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Crippa D.
Teorie vědy (Theory of Science)
|
2009
|
vol. 31
|
issue 2
101-112
EN
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 the author explains, taking as a starting point Kenneth Manders' analysis of Euclidean diagram, how exact and co-exact claims enter proposition I. 20. Then, he ultimately argues that this proposition serves broader explanatory purposes, enhancing control on diagram appearance.
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