How to axiomatize school geometry
| dc.creator | Levy, Eliahu | |
| dc.date | 2006-02-09 | |
| dc.date.accessioned | 2026-07-07T07:03:16Z | |
| dc.date.available | 2026-07-07T07:03:16Z | |
| dc.description | This is an attempt to present axioms for Euclidean geometry, aiming at the following goals: to work with geometric notions (thus not merely identify points with pairs of numbers, giving a special status to a particular coordinate system); to be appropriate to the way geometry is done in science and engineering - not to conceal its algebraic nature; to respond to the desire that one would accept intuitively/empirically that the axioms are valid in our physical everyday world (or rather in the idealization that geometry is) - that seemingly disfavoring taking the theorem of Pythagoras as an axiom; to have accessible the rigor and standards of "pure" mathematics. The style in this note is that of usual mathematical writings - for an unsophisticated audience the style of the presentation must surely be quite different. | |
| dc.description | 7 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0602190 | |
| dc.identifier | http://arxiv.org/abs/math/0602190 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108907 | |
| dc.subject | History and Overview | |
| dc.title | How to axiomatize school geometry | |
| dc.type | text |