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“The Analytical Engine might act upon other things besides number, were objects found whose mutual fundamental relations could be expressed by those of the abstract science of operations, and which should be also susceptible of adaptations to the action of the operating notation and mechanism of the engine… Supposing, for instance, that the fundamental relations of pitched sounds in the science of harmony and of musical composition were susceptible of such expression and adaptations, the engine might compose elaborate and scientific pieces of music of any degree of complexity or extent.”

“Every artist knows that there is no such thing as "freedom" in art. The first thing an artist does when he begins a new work is to lay down the barriers and limitations; he decides upon a certain composition, a certain key, a certain relation of creatures or objects to each other. He is never free, and the more splendid his imagination, the more intense his feeling, the farther he goes from general truth and general emotion.”

“When I think of God, when I think of him as existent, and when I believe him to be existent, my idea of him neither increases nordiminishes. But as it is certain there is a great difference betwixt the simple conception of the existence of an object, and the belief of it, and as this difference lies not in the parts or composition of the idea which we conceive; it follows, that it must lie in the manner in which we conceive it.”

“When the coherence of the parts of a stone, or even that composition of parts which renders it extended; when these familiar objects, I say, are so inexplicable, and contain circumstances so repugnant and contradictory; with what assurance can we decide concerning the origin of worlds, or trace their history from eternity to eternity?”

“In some exquisite critical hints on "Eurythmy," Goethe remarks, "that the best composition in pictures is that which, observing the most delicate laws of harmony, so arranges the objects that they by their position tell their own story." And the rule thus applied to composition in painting applies no less to composition in literature.”

“. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories -- specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.”