为什么一个没有受过逻辑、数学、统计或概率论训练的艺术家克莱夫·贝尔被认为是凯恩斯《概率论》的专家?

M. E. Brady
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引用次数: 0

摘要

凯恩斯已经回答了拉姆齐不连贯(奇怪?)的批评:“……显而易见的一点是,他所描述的概率关系似乎真的不存在……在拉姆齐提出批评之前,在《概率论》的第36页。凯恩斯指出,“……相似性和概率之间的相似性是如此之大,以至于对它的理解将极大地帮助我想要传达的思想。”在批评凯恩斯之前,拉姆齐完全没有把握相似性和概率之间的类比。拉姆齐没有在任何地方表明他理解凯恩斯所使用的概率和相似性之间的类比。在20世纪或21世纪,也没有任何哲学家、经济学家、心理学家、社会学家、历史学家或决策理论家对凯恩斯的观点有任何理解。只有在认知心理学家和认知科学家的著作中,才有证据表明凯恩斯的观点得到了理解。据我所知,没有这样的专家批评过凯恩斯的立场。这意味着拉姆齐的批评是基于他自己的无知。在一个人能够理性地批评任何类型的论点之前,进行批评的人必须证明他理解他所批评的立场。凯恩斯在第36页的介绍性评论在《概率论》的第三部分中进行了更深入、更详细的探讨。凯恩斯的客观概率关系就是存在于旧的已知情况和新的未知情况之间的客观相似关系。人类模式识别技能包括使用基于过去记忆的相似性函数,将过去对旧情况的了解投射到新情况中,一些研究人员认为旧的、已知的情况和新的、未探索的情况之间存在相似之处。然后,考虑到新旧情况之间的相似性,人们可以对一些新情况将如何发展产生合理程度的信念。20世纪50年代,赫伯特·西蒙(Herbert Simon)在《概率论》(A Treatise on Probability)中开始分析棋手在Over the Board比赛中的决策能力时,独立地重新发现了凯恩斯第三部分分析的一些部分,这些分析处理了直觉和归纳之间的联系。在Over the Board比赛中,棋手必须在时间限制(时钟)下做出决策。西蒙是认知科学和认知心理学发展领域的一员,这些领域始于20世纪50年代。凯恩斯关于直觉、归纳法、相似(不相似)、相似、类比和模式识别的立场都是这些领域公认的基本结论。拉姆齐的概念认为人类有能力计算精确的概率,利用概率微积分的纯数学定律来做决定,除了非常特殊的情况,这个概念完全被拒绝了。一个非常特殊的例子是通信(邮政)象棋,游戏可以持续数年。另一个特殊的例子是象棋计算机,比如深蓝,它们可以把它们关于开局、中局和终局的“书本”知识带到棋盘上(游戏邦注:这是一个巨大的库,包含了所有已知的过去玩过的游戏的变化)。当时的国际象棋世界冠军加里·卡斯帕罗夫(Garry Kasparov)在1996年以4比2击败深蓝,并在1997年以2.5比3.5输掉了复赛。没有认知科学家或认知心理学家会接受拉姆齐关于人类决策的主张,无论是在1950年还是2020年,因为所有的经验和实验证据都完全反对拉姆齐关于人类使用精确概率能力的立场。在最近对米萨克的书的评论中,包括米萨克自己对拉姆齐的评论中,我们很讨厌地发现,他们依赖于凯恩斯在技术上完全无知的艺术家朋友克莱夫·贝尔(Clive Bell),他不知道凯恩斯在《概率论》(a Treatise on Probability)中做了什么。原因很简单,因为他完全不懂数学、统计、逻辑和概率论。我觉得奇怪的是,他被认为是一个合法的来源,据说可以证实拉姆齐关于凯恩斯“客观概率关系”的愚蠢、无知的评论。论点似乎是这样的,(a),(b)和(c)是论点的前提,(d)是论点的结论:(a)拉姆齐是一位伟大的数学和逻辑天才(b)克莱夫·贝尔与凯恩斯生活和交谈过(c)克莱夫·贝尔说拉姆齐的批判推翻了凯恩斯的逻辑概率论(d)拉姆齐的批判推翻了凯恩斯的逻辑概率论。这就是米萨克的论点。
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Why Is Clive Bell, an Artist With No Training in Logic, Mathematics, Statistics or Probability, Being Cited as an Expert on J M Keynes’s a Treatise on Probability?
Keynes had already answered Ramsey’s incoherent( bizarre?) criticism that “… the obvious one is that there really do not seem to be any such things as the probability relations he describes ..."on page 36 of the A Treatise on Probability BEFORE Ramsey ever made his criticism. Keynes pointed out that the “…analogy between orders of similarity and probability is so great that its apprehension will greatly assist that of the ideas I wish to convey.” Ramsey completely failed to grasp the analogy between similarity and probability before criticizing Keynes. No where does Ramsey show that he understands the analogy between probability and similarity that Keynes is using. Nor has any philosopher, economist, psychologist, sociologist, historian or decision theorist demonstrated any understanding of Keynes’s argument in the 20th or 21st century. Only in the writings of cognitive psychologists and cognitive scientists is their evidence that Keynes’s position has been understood. I know of NO such specialist who has critiqued Keynes’s position. This means that Ramsey’s critique is based on ignorance on his part.

Before one can rationally criticize any argument of any type, the person doing the critique MUST demonstrate that he understands the position he is critiquing.

Keynes’s introductory comments on p.36 were then explored in Part III of the A Treatise on Probability in far, far, far greater depth and detail by Keynes. Keynes’s objective probability relations are simply objective similarity relations existing between old known situations and new unknown situations. Human pattern recognition skills involve using resemblance functions based on past memory that projects past knowledge of old situations into new situations, where there are similarities that are seen to exist between the old, known situation and a new, unexplored situation by SOME researchers. One then can come up with a rational degree of belief regarding how some new situation will play out, given the similarities between the old and new situations.

Herbert Simon independently rediscovered some parts of Keynes’s Part III analysis in the A Treatise on Probability that dealt with the connection between intuition and induction when he started to analyze the decision making capabilities of tournament chess players in Over the Board competition, where the players must make decisions under time constrain(a clock),in the 1950’s. Simon was a part of the developing fields of Cognitive Science and cognitive psychology that started in the 1950’s.Keynes ‘s positions on intuition, induction, similarity (dissimilarity), resemblances, analogy and pattern recognition are all accepted basic conclusions in these fields. Ramsey’s concept that supposed humans were capable of calculating exact, precise probabilities, using the purely mathematical laws of the probability calculus to make decisions, is completely rejected except as very special case. One very special case would be correspondence (postal) chess where games can last for years. Another special case would be chess computers, like Deep Blue, that were allowed to bring their “book” knowledge of opening, middle, and end game positions (gigantic libraries containing all known variations of past played games) with them to the chess board. Garry Kasparov, the then World Chess champion, defeated Deep Blue 4-2 in 1996 and lost a rematch 2.5-3.5 in 1997.

No cognitive scientist or cognitive psychologist would accept Ramsey’s claims about decision making by humans, be it in 1950 or 2020, because all of the empirical and experimental evidence is completely against Ramsey’s position on the ability of humans to use precise probability.

It is very annoying to find in recent reviewers of Misak’s book, including Misak’s own commentary on Ramsey, a reliance on a completely and technically ignorant artist friend of Keynes, Clive Bell, who had no idea about what Keynes was doing in the A Treatise on Probability.The reason is simply because he was completely illiterate of any knowledge of mathematics statistics logic, and probability. I find it bizarre that he is considered a legitimate source that supposedly validates Ramsey’s silly, ignorant comments about Keynes’s “objective probability relations”.

The argument seems to go like this ,where (a) ,(b) and (c) are the premises of the argument and (d) is the conclusion of the argument:

(a) Ramsey was a great mathematical and logical genius (b) Clive Bell lived and talked with Keynes (c) Clive Bell stated that Ramsey’s critique demolished Keynes’s logical theory of probability (d) Ramsey’s critique demolished Keynes’s logical theory of probability

This is what Misak’s argument amounts to.
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