投掷桥梁：在哪里以及如何将经典和量子观点联系起来？
Throwing bridges: where and how can classical and quantum view be connected?
摘要：
在最近的几篇论文中，我们对量子力学（QM）的某些部分提出了一种批判性的观点，这种观点在方法论上是不寻常的，因为它依赖于通过使用一些基本但基本的数理逻辑工具来分析QM的语言。我们的方法证明，一些广泛的信仰质量管理可以质疑，并建立新的联系与经典的观点，这是显着的辩论质量管理的解释。我们在这里提出一个简短的调查结果，突出他们的共同背景。我们首先展示了如何量子逻辑（QL）可以嵌入到经典逻辑（CL），如果嵌入是需要保持的逻辑顺序，而不是代数结构，以及如何QL可以被解释为一个务实的子语言内的务实扩展CL。这两个结果挑战的论文，CL和QL形式化的属性不同和不相容的真理概念。然后，我们表明，量子概率承认认识论的解释，如果考虑到作为一个基本组成部分的语言的QM，它克服了量子概率本体的解释。最后，我们表明，QM是一个上下文理论的证据站在一个补充的认识论假设，通常是不被注意的和左隐。放弃这样的假设至少在原则上为QM的非上下文解释开辟了道路。
英文摘要：
We have proposed in several recent papers a critical view of some parts of quantum mechanics (QM) that is methodologically unusual because it rests on analysing the language of QM by using some elementary but fundamental tools of mathematical logic. Our approach proves that some widespread beliefs about QM can be questioned and establishes new links with a classical view, which is significant in the debate on the interpretations of QM. We propose here a brief survey of our results, highlighting their common background. We firstly show how quantum logic (QL) can be embedded into classical logic (CL) if the embedding is required to preserve the logical order and not the algebraic structure, and also how QL can be interpreted as a pragmatic sublanguage within a pragmatic extension of CL. Both these results challenge the thesis that CL and QL formalize the properties of different and incompatible notions of truth. We then show that quantum probability admits an epistemic interpretation if contextuality is taken into account as a basic constituent of the language of QM, which overcomes the interpretation of quantum probability as ontic. Finally, we show that the proofs that QM is a contextual theory stand on a supplementary epistemological assumption that is usually unnoticed and left implicit. Dropping such assumption opens the way, at least in principle, to non-contextual interpretations of QM.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
