9 ideas
22153 | Quine rejects Carnap's view that science and philosophy are distinct [Quine, by Boulter] |
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] |
19485 | Names have no ontological commitment, because we can deny that they name anything [Quine] |
19486 | We can use quantification for commitment to unnameable things like the real numbers [Quine] |
2667 | A false object might give the same presentation as a true one [Arcesilaus, by Cicero] |
19487 | Without the analytic/synthetic distinction, Carnap's ontology/empirical distinction collapses [Quine] |