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A Pragmatic Interpretation of Quantum Logic

机译:量子逻辑的语用解读

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摘要

Scholars have wondered for a long time whether the language of quantummechanics introduces a quantum notion of truth which is formalized by quantumlogic (QL) and is incompatible with the classical (Tarskian) notion. We showthat QL can be interpreted as a pragmatic language of assertive formulas whichformalize statements about physical systems that are empirically justified orunjustified in the framework of quantum mechanics. According to thisinterpretation, QL formalizes properties of the metalinguistic notion ofempirical justification within quantum mechanics rather than properties of aquantum notion of truth. This conclusion agrees with a general integrationistperspective that interprets nonstandard logics as theories of metalinguisticnotions different from truth, thus avoiding incompatibility with classicalnotions and preserving the globality of logic. By the way, some elucidations ofthe standard notion of quantum truth are also obtained. Key words: pragmatics, quantum logic, quantum mechanics, justifiability,global pluralism.
机译:长期以来,学者一直想知道量子力学的语言是否引入了量子的真理概念,它由量子学(QL)形式化并且与经典的(Tarskian)概念不兼容。我们证明了QL可以被解释为一种断言的实用语言,它可以使关于物理系统的陈述形式化,这些陈述在量子力学的框架内凭经验证明是合理的或不合理的。根据这种解释,QL形式化了量子力学中经验证明的元语言学概念的性质,而不是量子真理概念的性质。该结论与一般的集成主义观点相吻合,该观点将非标准逻辑解释为不同于真相的元语言学说的理论,从而避免了与经典学说的不兼容,并保留了逻辑的全局性。顺便说一下,对量子真理的标准概念也有了一些阐明。关键词:语用学,量子逻辑,量子力学,正当性,全局多元性。

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  • 作者

    Garola, Claudio;

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  • 年度 2015
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  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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