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Full Idea
One of Hilbert's aims in 'The Foundations of Geometry' was to eliminate number [as measure of lengths and angles] from geometry.
Gist of Idea
Hilbert aimed to eliminate number from geometry
Source
report of David Hilbert (Foundations of Geometry [1899]) by William D. Hart - The Evolution of Logic 2
Book Ref
Hart,W.D.: 'The Evolution of Logic' [CUP 2010], p.42
A Reaction
Presumably this would particularly have to include the elimination of ratios (rather than actual specific lengths).
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
9546 | Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara] |
18742 | Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew] |
18217 | Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H] |