首页> 外文会议>NATO advanced research workshop on modality, probability, and bell's theorems >BELL, BOHM, AND VON NEUMANN: SOME PHILOSOPHICAL INEQUALITIES CONCERNING NO-GO THEOREMS AND THE AXIOMATIC METHOD
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BELL, BOHM, AND VON NEUMANN: SOME PHILOSOPHICAL INEQUALITIES CONCERNING NO-GO THEOREMS AND THE AXIOMATIC METHOD

机译:贝尔,Bohm和von Neumann:关于无遗嘱定理和公理方法的一些哲学不等式

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The present paper investigates the philosophical relationship between John von Neumann's No-hidden-variable theorem and Bell's inequalities. Bell erroneously takes the axiomatic method as implying a finality claim and thus ignores von Neumann's strongly pragmatist stance towards mathematical physics. If one considers, however, Hilbert's axiomatic method as a critical enterprise, Bell's theorem improves von Neumann's by defining a more appropriate notion of 'hidden variable' that permits one to include Bohm's interpretation which recovers the predictive content of quantum mechanics. Contrary to Bell's belief, accepting this model does not require adopting the metaphysically realist Bohm picture. If one takes the latter as a physical research programme one sees that it only partly disputes a common domain of facts with the mathematically oriented research programme of von Neumann.
机译:本文调查了约翰·冯·诺伊曼没有隐藏变量定理和贝尔不平等之间的哲学关系。贝尔错误地将公理方法暗示暗示最终要求,因此忽略了冯·诺伊曼强烈的实用主义姿态对数学物理学。然而,如果一个考虑到希尔伯特作为关键企业的公理方法,贝尔的定理通过定义一个更适当的“隐藏变量”的概念来改善von neumann,该概念允许一个允许一个包括Bohm的解释,该解释恢复量子力学的预测内容。与贝尔的信念相反,接受此模型不需要采用形而上学的现实主义Bohm图片。如果一个人认为后者作为物理研究计划,人们认为它只会部分纠纷们与冯Neumann的数学上导向的研究计划有关的常见领域。

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