9 ideas
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] |
5044 | Reality must be made of basic unities, which will be animated, substantial points [Leibniz] |
5045 | No machine or mere organised matter could have a unified self [Leibniz] |
5046 | The soul does know bodies, although they do not influence one another [Leibniz] |
9626 | A structure is an abstraction, focussing on relationships, and ignoring other features [Shapiro] |
5043 | To regard animals as mere machines may be possible, but seems improbable [Leibniz] |