The word 'definition' has come to have a dangerously reassuring sound, owing no doubt to its frequent occurrence in logical and mathematical writings.
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"Two dogmas of Empiricism", p. 26Willard van Orman Quine
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The definition of random in terms of a physical operation is notoriously without effect on the mathematical operations of statistical theory because so far as these mathematical operations are concerned random is purely and simply an undefined term. The formal and abstract mathematical theory has an independent and sometimes lonely existence of its own. But when an undefined mathematical term such as random is given a definite operational meaning in physical terms, it takes on empirical and practical significance. Every mathematical theorem involving this mathematically undefined concept can then be given the following predictive form: If you do so and so, then such and such will happen.
Walter A. Shewhart
It is a melancholy but an undoubted fact, that, even in the most thriving countries, part of the population annually dies of mere want. Not that all who perish from want absolutely die of hunger; though this calamity is of more frequent occurrence than is generally supposed.
Jean-Baptiste Say
Mr. Dodgson had a mathematical, a logical and a philosophical mind; and when these qualities are united to a love of the grotesque, the resultant fancies are sure to have a quite peculiar charm, a charm so much the greater because its source is subtle and eludes all attempts to grasp it. Sometimes he seems to revel in ideas which are not merely illogical but anti-logical.
Lewis Carroll
Mr. Dodgson had a mathematical, a logical and a philosophical mind; and when these qualities are united to a love of the grotesque, the resultant fancies are sure to have a quite peculiar charm, a charm so much the greater because its source is subtle and eludes all attempts to grasp it. Sometimes he seems to revel in ideas which are not merely illogical but anti-logical.
Charles (Lewis Carroll) Dodgson
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts. For with all the variety of mathematical knowledge, we are still clearly conscious of the similarity of the logical devices, the relationship of the ideas in mathematics as a whole and the numerous analogies in its different departments. We also notice that, the farther a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separate branches of the science. So it happens that, with the extension of mathematics, its organic character is not lost but only manifests itself the more clearly.
David Hilbert
Quine, Willard van Orman
Quinlan, John
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