By Anders Hald
WILEY-INTERSCIENCE PAPERBACK SERIESThe Wiley-Interscience Paperback sequence contains chosen books which have been made extra obtainable to shoppers on the way to bring up worldwide charm and normal flow. With those new unabridged softcover volumes, Wiley hopes to increase the lives of those works by means of making them to be had to destiny generations of statisticians, mathematicians, and scientists.From the reports of background of chance and records and Their functions prior to 1750"This is a fabulous e-book . . . someone with the slightest curiosity within the heritage of information, or in knowing how smooth rules have constructed, will locate this a useful resource."–Short ebook experiences of ISI
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Extra info for A History of Probability and Statistics and Their Applications before 1750 (Wiley Series in Probability and Statistics)
The next attempt to solve the problem is by Cardano (1539). He shows by example that Pacioli’s proposal is ridiculous and proceeds to give a deeper analysis of the problem. We shall return to this after a discussion of some other, more primitive, proposals. Tartaglia (1556) criticizes Pacioli and is sceptical of the possibility of finding a mathematical solution. He thinks that the problem is a juridical one. Nevertheless, he proposes that if sl is larger than s2, A should have his own stake plus the fraction (sl - s2)/s of B’s stake.
However, here also he was severely attacked by the Church. After his death his books were put on the Index. Weaknesses in Descartes’ philosophy and discrepancies between some of his specific results and those of Kepler, Galileo, and Harvey, say, had been pointed out in Descartes’ own lifetime. Nevertheless, his general ideas were accepted, dominating for more than ii century, even after Newton’s criticism of Descartes’ cosmology. 3 ON NATURAL PHILOSOPHY BEFORE 1650 27 universal philosophy was scholasticism with its dependence on Aristotelian concepts and theological arguments.
He did not rate mathematics highly as a scientific tool, and his ideas became of more importance in the natural and social sciences than in physics. His ideas on the importance of tabulation and classification of facts as a basis for analysis influenced John Graunt and 24 A SKETCHOF THE BACKGROIJND I N MATHEMATICSAND NATURAL PHILOSOPHY William Petty in their works on vital statistics and political arithmetic. Bacon argued for the cooperation of science and technology, collaborative research, and the social utility of research, ideas which first became accepted in the latter part of the century.
A History of Probability and Statistics and Their Applications before 1750 (Wiley Series in Probability and Statistics) by Anders Hald