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Historia Mathematica
Article . 1976
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Historia Mathematica
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The introduction of probability into mathematics

Authors: Ivo Schneider;

The introduction of probability into mathematics

Abstract

AbstractThe coincidence of two independent developments led to the mathematization of probability from Pascal to de Moivre. On the one hand there are the changing implications of probabilitas ending in a quantifiable concept, and on the other, the mathematization of chance within the area of games of chance. Probabilitas from Cicero to Thomas Aquinas largely takes its meaning from a pre-scientific dialectical method which dates back to the rhetoric of Aristotle. In this tradition probabilitas used synonymously with verisimilitudo can mean provable argument, credibility and convincing power. The use of the comparative probabilior in this connection has nothing to do with an order-relation. During the probabilism dispute the Jansenists postulated the quantifiability of probabilitas. This was done for the first time in the Port Royal Logic, based on simple methods for solving problems in games of chance. The conditions for the creations of such methods had been developed in Italy between 1450 and 1550. They were 1) a high standard of mathematics compared with the Middle Ages, combined with an optimistic estimation concerning the scope of application of mathematical methods, 2) a considerably increased intensity of gaming, 3) a growing emancipation from the church, and 4) the overcoming of the scholastic conviction that money is sterile. The attempts of the church to prohibit games of chance interrupted the process of mathematization. Favourable circumstances in France in the middle of the 17th century provided for a new beginning which led continuously to the creation of a theory of probability.

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Keywords

History of probability theory, General histories, source books, History, Mathematics(all), History of mathematics in the 17th century, History of mathematics in the 15th and 16th centuries, Renaissance, History of mathematics in Late Antiquity and medieval Europe

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
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Average
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