在概念空间中基于相似性的推理
Igor Douven1, Steven Verheyen2, Shira Elqayam3
1IHPST / CNRS / Panthéon-Sorbonne University, Paris, France.
Frontiers in psychology
|September 21, 2023
概括
本研究以数学相似空间形式化基于相似性的推理. 研究结果显示,推断强度与这些空间中的类别距离相关,支持一种新的形式模型.
科学领域:
- 认知科学 认知科学
- 思想的哲学 思想的哲学
- 数学心理学 数学心理学
背景情况:
- 演推理的有效性与逻辑形式有关.
- 许多理论前有效的推理缺乏正式的演结构.
- 基于相似性的推断,即从相似的类别中得出结论,需要一个正式的框架.
研究的目的:
- 提出和测试一种基于相似性的推断的正式模型.
- 为了研究推断强度和相似空间之间的关系.
- 提供一个量化衡量非演推理的有效性.
主要方法:
- 开发一种形式模型,其中推断强度是相似空间中距离的函数.
- 通过三项实验研究对模型进行实证测试.
- 使用数学空间来表示人类相似性判断.
主要成果:
- 提出的模型,将推理强度与相似空间中的距离联系起来,得到实证数据的支持.
- 三项研究一致证明了该模型的预测能力.
- 定量分析证实了类别距离和感知推理强度之间的关系.
结论:
- 基于相似性的推断可以使用相似空间进行正式处理.
- 这些推论的强度是可以根据空间距离量化和预测的.
- 这项研究为一类重要的非演推理提供了正式的解释.
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