论文标题
量子上下文中的古典逻辑
Classical Logic in Quantum Context
论文作者
论文摘要
人们普遍认为,量子力学需要修订经典的命题演算,这是由于其物理内容的结果。但是,为了模拟每个量子理论的命题是必不可少的,这是必不可少的。在本文中,我们通过表明可以在量子上的环境中考虑到Bohmian的力学来恢复经典逻辑,从而批判性地讨论了这一说法。实际上,这样的理论框架提供了必要的概念工具,以使实验命题的经典逻辑借助其清晰的形而上学及其测量理论。更确切地说,将表明,经典的命题演算的康复是该理论原始本体论的结果,这一事实在有关波希米亚力学的文献中尚未得到足够的认可。这项工作旨在填补这一空白。
It is generally accepted that quantum mechanics entails a revision of the classical propositional calculus as a consequence of its physical content. However, the universal claim according to which a new quantum logic is indispensable in order to model the propositions of every quantum theory is challenged. In the present essay we critically discuss this claim by showing that classical logic can be rehabilitated in a quantum context by taking into account Bohmian mechanics. It will be argued, indeed, that such a theoretical framework provides the necessary conceptual tools to reintroduce a classical logic of experimental propositions in virtue of its clear metaphysical picture and its theory of measurement. More precisely, it will be showed that the rehabilitation of a classical propositional calculus is a consequence of the primitive ontology of the theory, a fact which is not yet sufficiently recognized in the literature concerning Bohmian mechanics. This work aims to fill this gap.