论文标题
人类逻辑的非分布性和对认知心理学反应可复制性效应的侵犯性
Nondistributivity of human logic and violation of response replicability effect in cognitive psychology
论文作者
论文摘要
本文的目的是将量子逻辑作为分析人类推理的基本工具之一。我们将其与古典（布尔）逻辑进行了比较，并强调了违反分布法和脱节的作用。众所周知，非分布性等同于逻辑变量的不相容性 - 不可能将两个价值的真实值分配给这些变量。关于是否可以通过实验测试是否可以对人类逻辑中的量子逻辑非分布性进行自然问题。我们表明，在认知心理学中测试响应可复制性效应（RRE）等同于测试非分布性 - 在普遍的猜想中，观察产生的精神状态更新被描述为精神状态载体的正交投影（Wang和Busemeyer的投射更新猜想）。建议简单地测试RRE。与先前类似量子的建模的作品相反，我们在状态依赖性框架中进行。特别是，以固定的精神状态考虑分配性，兼容性和RRE。在此框架中，我们通过使用（von neumann-lüders）投影测量结果来改善不可能结合问题顺序和回答可复制性效应的结果。
The aim of this paper is to promote quantum logic as one of the basic tools for analyzing human reasoning. We compare it with classical (Boolean) logic and highlight the role of violation of the distributive law for conjunction and disjunction. It is well known that nondistributivity is equivalent to incompatibility of logical variables -- the impossibility to assign jointly the two-valued truth values to these variables. A natural question arises as to whether quantum logical nondistributivity in human logic can be tested experimentally. We show that testing the response replicability effect (RRE) in cognitive psychology is equivalent to testing nondistributivity -- under the prevailing conjecture that the mental state update generated by observation is described as orthogonal projection of the mental state vector (the projective update conjecture of Wang and Busemeyer). A simple test of RRE is suggested. In contrast to the previous works in quantum-like modeling, we proceed in the state-dependent framework; in particular, distributivity, compatibility, and RRE are considered in a fixed mental state. In this framework, we improve the previous result on the impossibility to combine question order and response replicability effects by using (von Neumann-Lüders) projective measurements.
