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In 1929, Ramsey in the paper “Probability and partial belief” wrote (Ramsey in The foundations of mathematics and other logical essays. Harcourt, Brace and Company, New York, pp. 256–257, 1931 [20]): A probability theory is a set of numbers associated with pairs of propositions obeying the calculus of probabilities. The interest of such a set comes from the possibility of acting on it consistently. Of course, the mathematician is only concerned with the form of probability; it is quite true that he only deals in certainties. And it was true during the whole twentieth century. But nowadays, a century after Ramsey, mathematicians deal in uncertainties and develop certain methods for handling inconsistent events and imperfect data.

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Introduction

  • 章节

  • 发表日期：

    2025年

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  • Evgeny Kagan,
  • Alexander Rybalov,
  • Ronald Yager

摘要

In 1929, Ramsey in the paper “Probability and partial belief” wrote (Ramsey in The foundations of mathematics and other logical essays. Harcourt, Brace and Company, New York, pp. 256–257, 1931 [20]): A probability theory is a set of numbers associated with pairs of propositions obeying the calculus of probabilities. The interest of such a set comes from the possibility of acting on it consistently. Of course, the mathematician is only concerned with the form of probability; it is quite true that he only deals in certainties. And it was true during the whole twentieth century. But nowadays, a century after Ramsey, mathematicians deal in uncertainties and develop certain methods for handling inconsistent events and imperfect data.