Schmidbauer Philipp, Hahn Madita, Nieder Andreas
Animal Physiology Unit, Institute of Neurobiology, University of Tübingen, 72076 Tübingen, Germany.
Sci Adv. 2025 Apr 11;11(15):eadt3718. doi: 10.1126/sciadv.adt3718.
The perception of geometric regularity in shapes, a form of elementary Euclidean geometry, is a fundamental mathematical intuition in humans. We demonstrate this geometric understanding in an animal, the carrion crow. Crows were trained to detect a visually distinct intruder shape among six concurrent arbitrary shapes. The crows were able to immediately apply this intruder concept to quadrilaterals, identifying the one that exhibited differing geometric properties compared to the others in the set. The crows exhibited a geometric regularity effect, showing better performance with shapes featuring right angles, parallel lines, or symmetry over more irregular shapes. This performance advantage did not require learning. Our findings suggest that geometric intuitions are not specific to humans but are deeply rooted in biological evolution.
对形状中几何规则性的感知,作为欧几里得初等几何的一种形式,是人类的一种基本数学直觉。我们在一种动物——食腐鸦身上证明了这种几何理解能力。乌鸦经过训练,要在六个同时出现的任意形状中检测出一个视觉上不同的入侵者形状。这些乌鸦能够立即将这种入侵者概念应用于四边形,识别出与集合中其他四边形相比具有不同几何特性的那个。乌鸦表现出几何规则性效应,与更不规则的形状相比,它们在具有直角、平行线或对称性的形状上表现得更好。这种性能优势并不需要学习。我们的研究结果表明,几何直觉并非人类所特有,而是深深植根于生物进化之中。