the strands and watched how long the spiders searched for their stolen meals. Losing a greater volume of food inspired more strumming of the web and searching about. But losing four items instead of just one or two increased the search time even more, Rodríguez and his colleagues reported in 2015 in Animal Cognition. It’s not just volume of food in a hoard,
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, they argue. Numerosity has its own effects.
At a glance
Nonhuman animals don’t have human language for counting,
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, so researchers studying behavior talk about an “approximate number system” that allows for good-enough estimates of quantities with no real counting. One of the features of this still mysterious system is its declining accuracy in comparing bigger numbers that are very close together, the trend that made Sedona the collie’s struggles as noteworthy as her successes.
As the ratios of the two quantities Sedona had to compare drew closer to 1,
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, she was more prone to make mistakes. Her scores worsened as she moved from 0.11 (comparing 1 to 9),
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, 0.2 (1 to 5) and so on. She never conquered the fiendish 8 versus 9. That same trend,
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, described by what’s called Weber’s law,
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, shows up in humans’ nonverbal approximate number system as well as in those of other animals.

Reckoning with Weber’s law,
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?


Quick,
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, which of the two circles in each pair has more dots in it? Weber’s law predicts that the answer comes easier when object numbers

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