12 ideas
6211 | Laughter is a sudden glory in realising the infirmity of others, or our own formerly [Hobbes] |
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
8923 | Numbers are identified by their main properties and relations, involving the successor function [MacBride] |
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] |
8926 | For mathematical objects to be positions, positions themselves must exist first [MacBride] |
6213 | A man cannot will to will, or will to will to will, so the idea of a voluntary will is absurd [Hobbes] |
6208 | Conceptions and apparitions are just motion in some internal substance of the head [Hobbes] |
6209 | There is no absolute good, for even the goodness of God is goodness to us [Hobbes] |
6210 | Life has no end (not even happiness), because we have desires, which presuppose a further end [Hobbes] |
6212 | Lust involves pleasure, and also the sense of power in pleasing others [Hobbes] |