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The magical number four: A biological historical and mythological enigma

机译:神奇的数字四:生物学历史和神话之谜

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摘要

Precise recognition of small object numbers without counting is a widespread phenomenon. It is well documented for humans and for a series of non-human vertebrates. Recently this has been confirmed for an invertebrate, the honeybee.1 This type of inborn numerical competence has been named “subitizing”, from the Latin subito = suddenly, immediately. It differs from the classical, sequential counting which has to be trained, starting with the help of our fingers. For humans it had been established since 1871 by Jevons2 that only up to four objects are precisely recognized and memorized. Under conditions which do not allow sequential counting, mistakes start to occur in case of more than four objects. This result has been confirmed whenever the range of visual attention has been carefully tested under a variety of rigorous conditions. It provides the basis for a novel hypothesis about the evolution of counting and numbering systems in ancient civilizations.3  
机译:无需计数即可精确识别小物体数量是一种普遍现象。它对于人类和一系列非人类脊椎动物都有充分的文献记载。最近,无脊椎动物蜜蜂已经证实了这一点。 1 这种天生的数字能力被突然称为“ subitizing”,源自拉丁语subito =突然。它与经典的顺序计数不同,传统的顺序计数需要从我们的手指开始进行训练。对于人类来说,Jevons 2 自1871年以来就确定,最多只能精确识别和记住四个物体。在不允许顺序计数的条件下,如果有四个以上的对象,则会开始发生错误。只要在各种严格条件下仔细测试了视觉注意范围,就可以确认该结果。 3 为古代文明中计数和编号系统的发展提出了新的假设。

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