On Euclidean diagrams and geometrical knowledge
2019 ◽
Vol 34
(2)
◽
pp. 255
We argue against the claim that the employment of diagrams in Euclidean geometry gives rise to gaps in the proofs. First, we argue that it is a mistake to evaluate its merits through the lenses of Hilbert’s formal reconstruction. Second, we elucidate the abilities employed in diagram-based inferences in the Elements and show that diagrams are mathematically reputable tools. Finally, we complement our analysis with a review of recent experimental results purporting to show that, not only is the Euclidean diagram-based practice strictly regimented, it is rooted in cognitive abilities that are universally shared.
2019 ◽
Vol 10
(3)
◽
pp. 2127-2131
Keyword(s):
1974 ◽
Vol 32
◽
pp. 390-391
Keyword(s):
1978 ◽
Vol 36
(1)
◽
pp. 346-347
Keyword(s):
1993 ◽
Vol 51
◽
pp. 1000-1001
Keyword(s):
2019 ◽
Vol 4
(4)
◽
pp. 633-640
◽
2020 ◽
Vol 5
(1)
◽
pp. 314-325