论文标题
不可能数字的情境分析
Contextuality Analysis of Impossible Figures
论文作者
论文摘要
本文有两个目的。一种是证明对认知随机变量系统的情境分析。另一个是评估早期出版物中介绍的（非）上下文性量度的新的层次结构版本的性能。作为分析对象，我们使用了Penroses和Escher创造的那种不可能的数字。我们没有对如何感知不可能的数字做出任何假设，而是将其作为固定物理对象，允许几种确定性描述之一。通过概率地将这些确定性系统混合来获得认知随机变量的系统。这种概率混合物反映了我们在频繁意义上的不确定性或缺乏知识，而不是随机变异性。
This paper has two purposes. One is to demonstrate contextuality analysis of systems of epistemic random variables. The other is to evaluate the performance of a new, hierarchical version of the measure of (non)contextuality introduced in earlier publications. As objects of analysis we use impossible figures of the kind created by the Penroses and Escher. We make no assumptions as to how an impossible figure is perceived, taking it instead as a fixed physical object allowing one of several deterministic descriptions. Systems of epistemic random variables are obtained by probabilistically mixing these deterministic systems. This probabilistic mixture reflects our uncertainty or lack of knowledge rather than random variability in the frequentist sense.
