## User login## Navigation |
## A Formal System For Euclid's ElementsA Formal System For Euclid's Elements, Jeremy Avigad, Edward Dean, and John Mumma. Review of Symbolic Logic, Vol. 2, No. 4, 2009.
Diagrammatic languages are a perennial favorite discussion topic here, and Euclid's proofs constitute one of the oldest diagrammatic languages around. And yet for hundreds of years (at least since Leibniz) people have argued about whether or not the diagrams are really part of a But was this necessary, or just a contingent fact of the logical machinery available to them? Avigad and his coauthors show the former point of view also works, and that you can do it with very basic proof theory (there's little here unfamiliar to anyone who has read Pierce's book). Yet it sheds a lot of light on how the diagrams in the Elements work, in part because of their very careful analysis of how to read the diagrams -- that is, what conclusion a diagram really licenses you to draw, and which ones are accidents of the specific figure on the page. How they consider these issues is a good model for anyone designing their own visual programming languages. |
## Browse archives## Active forum topics |

## Recent comments

42 min 55 sec ago

50 min 5 sec ago

3 hours 35 min ago

4 hours 16 min ago

10 hours 18 sec ago

10 hours 2 min ago

13 hours 28 min ago

13 hours 33 min ago

14 hours 25 min ago

15 hours 11 min ago