Conjecture Quotes - page 3
We wish to see... the typical attitude of the scientist who uses mathematics to understand the world around us. ...In the solution of a problem ...there are typically three phases. The first phase is entirely or almost entirely a matter of physics; the third, a matter of mathematics; and the intermediate phase, a transition from physics to mathematics. The first phase is the formulation of the physical hypothesis or conjecture; the second, its translation into equations; the third, the solution of the equations. Each phase calls for a different kind of work and demands a different attitude.
George Pólya
It was the fate of Europe to be always a battleground. Differences in race, in religion, in political genius and social ideals, seemed always, in the atmosphere of our mother continent, to be invitations to contest by battle. From the dawn of history, and we can only conjecture how much longer, the conflicts of races and civilizations, of traditions and usages, have gone on. It is one of the anomalies of the human story that these peoples, who could not be assimilated and unified under the skies of Europe, should on coming to America discover an amazing genius for cooperation, for fusion, and for harmonious effort. Yet they were the same people when they came here that they had been on the other side of the Atlantic. Quite apparently, they found something in our institutions, something in the American system of Government and society which they themselves helped to construct, that furnished to all of them a political and cultural common denominator.
Calvin Coolidge
It was first surmised by the ancient philosopher, Democritus, that the faintly white zone which spans the sky under the name of the Milky Way, might be only a dense collection of stars too remote to be distinguished. This conjecture has been verified by the instruments of modern astronomers.
Robert Chambers (publisher born 1802)
