““4.13. The most striking aspect of Dedekind's definition is that it determines infinity positively, and subordinates the finite negatively. This is its especially modern accent, such as is almost always found in Dedekind. An infinite system has a property of an existential nature: there exists a biunivocal correspondence between it and one of its proper parts. The finite is that for which such a property does not obtain. The finite is simply that which is not infinite, and all the positive simplicity of thought hinges on the infinite.””
![“Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine is too complicated for all the elements to be able to enter into the analytical comparison we wish to make, we separate the more inconvenient [elements], we…” quote by Jean le Rond d'Alembert](https://sms4smile.com/quotes/img-quotes/0d9/jean-le-rond-d-alembert-26487_able_geometry-which-should-only-obey-physics_6945.jpg)
