10 ideas
6021 | It is only when we say a proposition that we speak truly or falsely [Sext.Empiricus] |
6020 | 'Man is a rational mortal animal' is equivalent to 'if something is a man, that thing is a rational mortal animal' [Sext.Empiricus] |
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
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] |
6026 | How can you investigate without some preconception of your object? [Sext.Empiricus] |
6032 | Right actions, once done, are those with a reasonable justification [Sext.Empiricus] |
1517 | The tektraktys (1+2+3+4=10) is the 'fount of ever-flowing nature' [Sext.Empiricus] |