Quotes and Resources Related to Mathematics, (Mathematical) Sciences and Mathematicians
20 June 2019
On Metaphysics (1940-1949)
“Since science’s competence extends to observable and measurable phenomena, not to the inner being of things, and to the means, not to the ends of human life, it would be nonsense to expect that the progress of science will provide men with a new type of metaphysics, ethics, or religion.” (Jacques Maritain, “Science and Ontology”, Bulletin of the Atomic Scientists Vol. 5, 1944)
“The complete use of pure reason brings us finally from physical to metaphysical knowledge. But the concepts of metaphysical knowledge do not in themselves fully satisfy the demand of our integral being. They are indeed entirely satisfactory to the pure reason itself, because they are the very stuff of its own existence. But our nature sees things through two eyes always, for it views them doubly as idea and as fact and therefore every concept is incomplete for us and to a part of our nature almost unreal until it becomes an experience.” (Sri Aurobindo, “The Life Divine”, 1944)
"In various ways, methods of approaching the mathematician's ideal were sought, and the resulting suggestions were the source of much that was mistaken in metaphysics and theory of knowledge.” (Bertrand Russell, “A History of Western Philosophy”, 1945)
“[…] science, properly interpreted, is not dependent on any sort of metaphysics. It merely attempts to cover a maximum of facts by a minimum of laws.” (Herbert Feigl, “Naturalism and Humanism”, American Quarterly, Vol. 1, No. 2, 1949)
“When a scientific theory is firmly established and confirmed, it changes its character and becomes a part of the metaphysical background of the age: a doctrine is transformed into a dogma.” (Max Born, “Natural Philosophy of Cause and Chance”, 1949)
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On Hypothesis Testing III
"A little thought reveals a fact widely understood among statisticians: The null hypothesis, taken literally (and that’s the only way...
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