To the pure geometer the radius of curvature is an incidental characteristic - like the grin of the Cheshire cat. To the physicist it is an indispensable characteristic. It would be going too far to say that to the physicist the cat is merely incidental to the grin. Physics is concerned with interrelatedness such as the interrelatedness of cats and grins. In this case the "cat without a grin" and the "grin without a cat" are equally set aside as purely mathematical phantasies.
Arthur EddingtonRelated topics
aside case cat characteristic curvature far geometer physicist pure radius set incidentalRelated quotes
People will tell us that without the consolations of religion they would be intolerably unhappy. So far as this is true, it is a coward's argument. Nobody but a coward would consciously choose to live in a fool's paradise. When a man suspects his wife of infidelity, he is not thought the better of for shutting his eyes to the evidence. And I cannot see why ignoring evidence should be contemptible in one case and admirable in the other.
Bertrand Russell
Apparently, sir you Chinese are far ahead of us in every respect, except that you don't have entrepreneurs. And our nation, though it has no drinking water, electricity, sewage system, public transportation, sense of hygiene, discipline, courtesy, or punctuality, ‘'does'' have entrepreneurs. Thousands and thousands of them. Especially in the field of technology. And these entrepreneurs-"we" entrepreneurs-have set up all these outsourcing companies that virtually run America now.
Aravind Adiga
As far as France is concerned, we are ready to envisage everything that can be done under UNSCR 1441. [...] But I repeat that every possibility offered by the present resolution must be explored, that there are a lot of them and they still leave us with a lot of leeway when it comes to ways of achieving the objective of eliminating any weapons of mass destruction which may exist in Iraq. I'd like nevertheless to note that, as things stand at the moment, I have, to my knowledge, no indisputable proof in this sphere.
Jacques Chirac
The reaction against your own thought in itself lends life to thought. How this reaction is born is hard to describe, because it identifies with the very rare intellectual tragedies. - The tension, the degree and level of intensity of a thought proceeds from its internal antinomies, which in turn are derived from the unsolvable contradictions of a soul. Thought cannot solve the contradictions of the soul. As far as linear thinking is concerned, thoughts mirror themselves in other thoughts, instead of mirroring a destiny.
Emil Cioran
If you have a faith, it is statistically overwhelmingly likely that it is the same faith as your parents and grandparents had. No doubt soaring cathedrals, stirring music, moving stories and parables, help a bit. But by far the most important variable determining your religion is the accident of birth. The convictions that you so passionately believe would have been a completely different, and largely contradictory, set of convictions, if only you had happened to be born in a different place. Epidemiology, not evidence.
Richard Dawkins