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The Problem of Points

Author

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  • Cantillo, Andres

Abstract

According to Katz [6] some of the basic notions of probability existed in ancient civilizations. In The Talmud and in Roman calculations of annuities there is some evidence of this. However, no record of numerical probability calculations exists. Hald [5], Bernstein [1] and Katz [6] agree that this numerical development was intimately linked to the study of gambling, contracts and profits. These authors also coincide in that the formulation of “The Problem of Points” is a crucial event. The paper is centered on evaluating and explaining the history of the formulation of “The Problem of Points”. The solution to this problem originated the deductive notions of probability [5]. I will center my attention on the formulation and attempt of solution by Pacioli [4], Cardano [2], Tartaglia [14] and Forestani [4]. In this process Cardano began to unveil some principles that are coherent with a modern theory of probability.

Suggested Citation

  • Cantillo, Andres, 2011. "The Problem of Points," MPRA Paper 50831, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:50831
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    More about this item

    Keywords

    History of Probability; Uncertainty;

    JEL classification:

    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • Y80 - Miscellaneous Categories - - Related Disciplines - - - Related Disciplines

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