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arXiv 1408.2697quant-phphysics.hist-ph
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多值逻辑能帮助理解量子现象吗?

Can many-valued logic help to comprehend quantum phenomena?

Jarosław Pykacz

摘要:

继Eschukasiewicz,我们认为,未来的不确定性事件应使用多值,而不是2值逻辑来描述。Greenberger-Horne-Zeilinger“悖论”被证明是一个人工制品所造成的不合理的使用2值逻辑,同时考虑未来的不确定事件的结果。在量子物体被测量之前,对它们的性质的描述应该使用命题函数来完成,这些命题函数形成了一个特定的无限值的Rukasiewicz逻辑模型。这个模型的特点是它所使用的否定、合取和析取等特定运算。

英文摘要:

Following Łukasiewicz, we argue that future non-certain events should be described with the use of many-valued, not 2-valued logic. The Greenberger-Horne-Zeilinger `paradox' is shown to be an artifact caused by unjustified use of 2-valued logic while considering results of future non-certain events. Description of properties of quantum objects before they are measured should be performed with the use of propositional functions that form a particular model of infinitely-valued Łukasiewicz logic. This model is distinguished by specific operations of negation, conjunction, and disjunction that are used in it.

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。

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