Some Examples of 21st Century Philosophers Who Have Written About Keynes’s Logical Theory of Probability, but Have Skipped Part II of the A Treatise on Probability, Where Keynes Presented His Interval – Valued Approach to Probability

M. E. Brady
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Abstract

Nearly one hundred years after Keynes published his A Treatise on Probability in 1921,it appears that practically no philosophers have read Part II of the A Treatise on Probability in either the 20th or 21st centuries. This simply means that no modern day philosopher is in any position to recognize that Keynes’s work on his interval valued approach to imprecise probability in 1907,1908 and 1921 makes him the founder, along with G Boole’s contributions in his 1854 The Laws of Thought ,of the imprecise theory of probability long before Koopman’s work in 1940 or the work of I. J. Good, C. Smith ,or H.E. Kyburg in the early 1960’s.
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21世纪哲学家的一些例子,他们写了凯恩斯的逻辑概率论,但跳过了《概率论》的第二部分,在那里凯恩斯提出了他的区间值方法
凯恩斯在1921年发表了他的《概率论》(A Treatise on Probability)将近100年后,在20世纪或21世纪,似乎几乎没有哲学家读过《概率论》的第二部分。这仅仅意味着,没有任何现代哲学家能够认识到,凯恩斯在1907年、1908年和1921年对不精确概率的间隔值方法的研究,使他与G布尔在1854年的《思想法则》(the Laws of Thought)中的贡献一起,成为不精确概率理论的创始人,远远早于库普曼在1940年的研究,也早于I. J. Good、C. Smith或H.E. Kyburg在60年代初的研究。
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