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Home > Category Index for Science Quotations > Category Index I > Category: Indeterminate

Indeterminate Quotes (3 quotes)

Definition of Mathematics.It has now become apparent that the traditional field of mathematics in the province of discrete and continuous number can only be separated from the general abstract theory of classes and relations by a wavering and indeterminate line. Of course a discussion as to the mere application of a word easily degenerates into the most fruitless logomachy. It is open to any one to use any word in any sense. But on the assumption that mathematics is to denote a science well marked out by its subject matter and its methods from other topics of thought, and that at least it is to include all topics habitually assigned to it, there is now no option but to employ mathematics in the general sense of the science concerned with the logical deduction of consequences from the general premisses of all reasoning.
In article 'Mathematics', Encyclopedia Britannica (1911, 11th ed.), Vol. 17, 880. In the 2006 DVD edition of the encyclopedia, the definition of mathematics is given as The science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. [Premiss is a variant form of premise. Webmaster]
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I do not  reject the use of statistics in medicine, but I condemn not trying to get beyond them and believing in statistics as the foundation of medical science.  Statistics  apply only to cases in which the cause of the facts observed is still [uncertain or] indeterminate.  There will always be some indeterminism  in all the sciences, and more in medicine than in any other. But mans intellectual conquest consists in lessening and driving back indeterminism in proportion as he gains ground for determinism by the help of the experimental method..
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 138-140.
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The goal of scientific physicians in their own science  is to reduce the indeterminate. Statistics therefore apply only to cases in which the cause of the facts observed is still indeterminate.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 139.
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In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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