The theory of perspective was taught in painting schools from the sixteenth century onward according to principles laid down by the masters... However, their treatises on perspective had on the whole been precept, rule, and ad hoc procedure; they lacked a solid mathematical basis. In the period from 1500 to 1600 artists and subsequently mathematicians put the subject on a satisfactory deductive basis, and it passed from quasi-empirical art to a true science. Definitive works on perspective were written much later by eighteenth-century mathematicians Brook Taylor and J. H. Lambert.
Morris KlineRelated topics
art brook century definitive later lay procedure rule satisfactory science sixteenth teach write works taylor lambert mastersRelated quotes
The design of the following treatise is to investigate the fundamental laws of those operations of the mind by which reasoning is performed; to give expression to them in the symbolical language of a Calculus, and upon this foundation to establish the science of Logic and construct its method; to make that method itself the basis of a general method for the application of the mathematical doctrine of Probabilities; and, finally, to collect from the various elements of truth brought to view in the course of these inquiries some probable intimations concerning the nature and constitution of the human mind.
George Boole
A reconsideration of the discussion in which I took an active part more than 40 years ago has left me with a rather depressing view of the somewhat shameful state of what has become an established part of economic science, the subject of 'economic systems'. It appears to me that in this subject political attractiveness has been preserved by the flimsiest of arguments. The kindest thing one can say is that some well-meaning people have allowed themselves to be deceived by the vague and thoughtless language commonly used by specialists in the theory of these issues.
Friedrich Hayek
Some students of philosophy have unreasonably high expectations of the subject. They expect it to provide them with a complete and detailed picture of the human predicament. They think that philosophy will reveal to them the meaning of life, and explain to them every facet of our complex existences. Now, although studying philosophy can illuminate fundamental questions about our lives, it does not provide anything like a complete picture, if indeed there could be such a thing. Studying philosophy isn't an alternative to studying art, literature, history, psychology, anthropology, sociology, politics, and science.
Nigel Warburton
If there is no point in the universe that we discover by the methods of science, there is a point that we can give the universe by the way we live, by loving each other, by discovering things about nature, by creating works of art. And that-in a way, although we are not the stars in a cosmic drama, if the only drama we're starring in is one that we are making up as we go along, it is not entirely ignoble that faced with this unloving, impersonal universe we make a little island of warmth and love and science and art for ourselves. That's not an entirely despicable role for us to play.
Steven Weinberg
Great works of art can be produced in barbarous societies - in fact the very narrowness of primitive society gives their ornamental art a peculiar concentration and vitality. At some time in the ninth century one could have looked down the Seine and seen the prow of a Viking ship coming up the river. Looked at today in the British Museum, it is a powerful work of art; but to the mother of a family trying to settle down in her little hut, it would have seemed less agreeable - as menacing to her civilisation as the periscope of a nuclear submarine.
Kenneth Clark