5 ms·
Nice. There's an entire book like this for geometric statements. Every picture is a fact, proofs are supplied by the reader: https://users.mccme.ru/akopyan/pap
by fiforpg 1y ago
Nice. There's an entire book like this for geometric statements. Every picture is a fact, proofs are supplied by the reader:
https://users.mccme.ru/akopyan/papers/EnGeoFigures.pdf https://users.mccme.ru/akopyan/papers/EnGeoFigures.pdf
Caution: proofs of some of the statements in it are difficult.
- JadeNB 1y agoI think that is rather different. The traditional meaning of "proofs without words" is that the picture is the proof, or at least, if you believe that a proof can only be in words, that the picture should convey the idea so transparently that anyone with reasonable mathematical skill can routinely translate it into words.
- fiforpg 1y agoYou are correct, after posting I realized the difference. The book is rather "theorems [formulated] without words". Which is why I added that the proofs are left to the reader :P