Bees and the thought of naught


Honeybees can conceive and interpret zero. This has just been demonstrated by a scientist from the Research Centre on Animal Cognition (CNRS / Université Toulouse III—Paul Sabatier) and her Australian colleagues, proving for the first time ever that insects are capable of mathematical abstraction. As zero, designating nothingness, neutrality, or absence, is a relatively recent concept for humans, these findings—published in Science (June 8, 2018)—raise questions about its symbolic significance in the history of mathematics.

Though some vertebrates had already been shown to master complex numerical concepts like addition and zero, no evidence of this existed for insects. Since bees can count to five at least, the researchers taught them the inequality relations “greater than” and “less than.”

First they trained them to drink sweetened water from an experimental setup where platforms were paired with images. Their task was simply to choose the image depicting the smallest number of elements. If they selected the correct one, they were rewarded with sweetened water. Otherwise, they got bitter quinine solution. Once the bees grasped the exercise, the researchers showed them two images at a time: one was blank (representing zero) and another had one or more dots (representing a whole number). The insects selected the blank image as representing the least number of elements. This shows they had extrapolated their understanding of “less than”—as applied to whole numbers (1, 2, 3, 4, or 5)—to zero, which they assigned the lowest rank of all.

Bees have only a million neurons (100,000 times fewer than humans), yet both species can grasp zero. Zero was a major mathematical breakthrough for humans and is a particularly abstract concept. We can use this symbol of “nothing” to designate the absence of objects, while manipulating it as if it represented a quantity. The brain, which evolved to process sensory stimuli, can also perceive the absence of stimuli as a construct itself. By suggesting that the concept of zero is useful even to pollinating insects, the scientists' discovery invites inquiry into its symbolic importance more generally.

© Scarlett Howard & Aurore Avarguès-Weber

After learning that images depicting the fewest number of elements were matched with rewards, bees chose the blank image. This experiment demonstrates that these insects consider zero, the empty set, to be less than any whole number.



Bees extrapolate ordered relations to place numerosity zero on a numerical continuum, Howard SR, Avarguès-Weber A, Garcia J, Greentree A, Dyer AG. Science, June 8, 2018. doi:10.1126/science.aar4975.


Aurore Avarguès-Weber
CNRS researcher
Juliette Dunglas
CNRS press office