绑定动机的语境性：感知与判断中的跨领域循环检验
Binding-Motivated Contextuality: A Cross-Domain Cyclic Test in Perception and Judgment
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中文总结 AI 辅助
本文提出感知绑定与判断语境性共享同一拓扑障碍，通过跨领域循环检验，用完整语境分数测量并预测相关性，设计三项未运行的实验验证共享机制。
中文摘要 AI 辅助
感知绑定和判断的语境性分别在心理物理学和决策研究中被研究。我们认为它们共享一个障碍：一个没有全局截面的预层的 $H^1$ 中的非零类——尽管只有语境性被检验，因为绑定的障碍消失了。我们基于预测编码（Seely 2025）和语境性（Abramsky & Brandenburger 2011）的层论表述：一对循环的成对判断承认一个全局（非语境）解释，当且仅当循环（Suppes-Zanotti / n-循环）不等式成立。其障碍由完整语境分数 CF（Abramsky, Barbosa & Mansfield 2017）衡量，而不是较弱的 Cech 不变量，后者能证明语境性但可能遗漏它（Caru 2017）。Penrose（1992）通过深度乘法群 $\mathbb{R}^+$ 上的 $H^1$ 对连续三柱体进行分类——但我们检验的是 $\mathbb{Z}_2$ 情形。我们从每个循环优势配对的二元判断构建感知竞技场，实现与调查相同的受挫循环障碍。核心检验是跨领域的：一个队列执行两者；共享机制预测竞技场的带符号障碍余量（钳制前的 CF）之间的相关性，这两个领域都未测量过。两者都是不一致性分数，因此裸相关性被一般反应一致性混淆。因此预测是混淆残差化的：相关性必须在从方差和信度匹配的对照中剔除一般一致性因素后仍然存在。足够精确的零结果将对该解释不利，前提是预注册的信度检验通过且对照不加载于障碍。所有三项检验均已设计但未运行。
英文摘要
Psychophysics and decision research study perceptual binding and judgment contextuality apart. We argue both are scored against the same cyclic noncontextuality inequalities and share one convex global-consistency geometry -- not one cohomology class -- though only contextuality is tested, since binding's own residual vanishes here. Building on sheaf formulations of predictive coding (Seely 2025) and contextuality (Abramsky & Brandenburger 2011), a cyclic set of pairwise judgments admits a noncontextual explanation exactly when the cyclic (Suppes-Zanotti or n-cycle) inequalities hold, and its severity is measured by the complete contextual fraction CF (Abramsky, Barbosa & Mansfield 2017) rather than by the Cech invariant, which can miss it (Caru 2017). We build the perceptual arena from two binary judgments per cyclic-dominance pairing, scored against the same inequalities as the survey; an appendix rejects the one-bit alternative on construct-validity grounds. The central test is cross-domain: one cohort performs both arenas, and a shared latent tolerance predicts a positive correlation between their signed cyclic margins V*, the pre-clamp quantities behind CF. Both are inconsistency scores, so general response consistency confounds a bare correlation, and the prediction is therefore confound-residualized against a variance- and reliability-matched control. A positive result would support a shared residual association, not a common causal mechanism, which we prove this design cannot identify at any sample size. All three tests are designed but unrun, and the perceptual arena is a proposed instantiation with pilot gates -- a methodological proposal, not a confirmatory report.
发表机构
- Hunter College and the Graduate Center, CUNY（亨特学院与CUNY研究生院）
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