认知视界：这句话是$\frac{1}{\sqrt{2}}(|True\rangle + |False\rangle)$
Epistemic Horizons: This Sentence is $\frac{1}{\sqrt{2}}(|True\rangle + |False\rangle)$
摘要：
在[Found. Phys. 48.12（2018）：1669]中，引入了“认识视界”的概念，作为对量子力学许多令人困惑的特征的解释。在那里，它被证明是Lawvere的定理，它形成了哥德尔不完全性，图灵不可判定性，罗素悖论等现象的绝对背景，应用于测量环境，产生了关于系统的最大知识的界限，产生了许多典型的量子现象。我们给出了一个简短的介绍框架，然后演示它如何自然产生贝尔不等式违反。然后，我们研究了爱因斯坦、波多尔斯基和罗森的论证，并展示了得出量子形式主义不完备性结论所需的反事实推理是如何被认识论视界所禁止的。同样，由于哈代和Frauchiger-Renner的悖论进行了讨论，并发现打开一个不一致的信息组合从不兼容的情况下。
英文摘要：
In [Found. Phys. 48.12 (2018): 1669], the notion of 'epistemic horizon' was introduced as an explanation for many of the puzzling features of quantum mechanics. There, it was shown that Lawvere's theorem, which forms the categorical backdrop to phenomena such as Gödelian incompleteness, Turing undecidability, Russell's paradox and others, applied to a measurement context, yields bounds on the maximum knowledge that can be obtained about a system, which produces many paradigmatically quantum phenomena. We give a brief presentation of the framework, and then demonstrate how it naturally yields Bell inequality violations. We then study the argument due to Einstein, Podolsky, and Rosen, and show how the counterfactual inference needed to conclude the incompleteness of the quantum formalism is barred by the epistemic horizon. Similarly, the paradoxes due to Hardy and Frauchiger-Renner are discussed, and found to turn on an inconsistent combination of information from incompatible contexts.
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