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 BooleRelated topics
application basis calculus collect concerning constitution construct course design doctrine expression following foundation fundamental general human language logic method mind nature probable reasoning science treatise truth view elements laws operationsRelated quotes
Modern man, seeking a middle position in the evaluation of sense impression and thought, can, following Plato, interpret the process of understanding nature as a correspondence, that is, a coming into congruence of pre-existing images of the human psyche with external objects and their behaviour. Modern man, of course, unlike Plato, looks on the pre-existent original images also as not invariable, but as relative to the development of a conscious point of view, so that the word "dialectic" which Plato is fond of using may be applied to the process of development of human knowledge.
Wolfgang Pauli
When we seek a textbook case for the proper operation of science, the correction of certain error offers far more promise than the establishment of probable truth. Confirmed hunches, of course, are more upbeat than discredited hypotheses. Since the worst traditions of "popular” writing falsely equate instruction with sweetness and light, our promotional literature abounds with insipid tales in the heroic mode, although tough stories of disappointment and loss give deeper insight into a methodology that the celebrated philosopher Karl Popper once labeled as "conjecture and refutation.”.
Stephen Jay Gould
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
And last of all we have the secondary forms of crystals bursting in upon us, and sparkling in the rigidity of mathematical necessity and telling us, neither of harmony of design, usefulness or moral significance, - nothing but spherical trigonometry and Napier's analogies. It is because we have blindly excluded the lessons of these angular bodies from the domain of human knowledge that we are still in doubt about the great doctrine that the only laws of matter are those which our minds must fabricate, and the only laws of mind are fabricated for it by matter.
James Clerk Maxwell
In [Aristotle's] formal logic, thought is organized in a manner very different from that of the Platonic dialogue. In this formal logic, thought is indifferent toward its objects. Whether they are mental or physical, whether they pertain to society or to nature, they become subject to the same general laws of organization, calculation, and conclusion - but they do so as fungible signs or symbols, in abstraction from their particular "substance." This general quality (quantitative quality) is the precondition of law and order - in logic as well as in society - the price of universal control.
Herbert Marcuse
