Analysis Quotes - page 9
THEY who are acquainted with the present state of the theory of Symbolical Algebra, are aware, that the validity of the processes of analysis does not depend upon the interpretation of the symbols which are employed, but solely upon the laws of their combination. Every system of interpretation which does not affect the truth of the relations supposed, is equally admissible, and it is thus that the same process may, under one scheme of interpretation, represent the solution of a question on the properties of numbers, under another, that of a geometrical problem, and under a third, that of a problem of dynamics or optics. This principle is indeed of fundamental importance; and it may with safety be affirmed, that the recent advances of pure analysis have been much assisted by the influence which it has exerted in directing the current of investigation.
George Boole
This Mr. Dewhurst has not understood the Impressionist movement in the very least. All he sees in it is a technical method... He also says that before going to London we knew nothing whatsoever about light; but we have studies that prove the contrary. He omits the influence of Claude Lorrain, Corot, all the 18th-century painters, Chardin most of all. But what he fails to realize is that while Turner and Constable were of service to us, they confirmed our suspicion that those painters had not understood 'The Analysis of Shadows', which in the case of Turner are always a deliberate effect, a plain dark patch. As to the division of tones, Turner confirmed us its value as a method, but not as a means of accuracy or truth to nature. In any case, the 18th century was our tradition. It seems to me that Turner too, had looked at Claude Lorrain. I am even inclined to think there is a picture by Turner, 'Sunset', hung side by side with a Claude.
Camille Pissarro
As Cioran correctly points out, a principal danger of being overcivilized is that one all to easily relapses, out of sheer exhaustion and the unsatisfied need to be "stimulated,” into a vulgar and passive barbarism. Thus, "the man who unmasks his fictions” through an indiscriminate pursuit of the lucidity that is promoted by modern liberal culture "renounces his own resources and, in a sense, himself. Consequently, he will accept other fictions which will deny him, since they will not have cropped up from his own depth.” There, he concludes, "no man concerned with his own equilibrium may exceed a certain degree of lucidity and analysis.”.
Susan Sontag