title: The origins of counting algorithms.
abstract: Humans' ability to count by verbally labeling discrete quantities is unique in animal cognition. The evolutionary origins of counting algorithms are not understood. We report that nonhuman primates exhibit a cognitive ability that is algorithmically and logically similar to human counting. Monkeys were given the task of choosing between two food caches. First, they saw one cache baited with some number of food items, one item at a time. Then, a second cache was baited with food items, one at a time. At the point when the second set was approximately equal to the first set, the monkeys spontaneously moved to choose the second set even before that cache was completely baited. Using a novel Bayesian analysis, we show that the monkeys used an approximate counting algorithm for comparing quantities in sequence that is incremental, iterative, and condition controlled. This proto-counting algorithm is structurally similar to formal counting in humans and thus may have been an important evolutionary precursor to human counting.
authors.affiliation: Brain & Cognitive Sciences, University of Rochester jcantlon@bcs.rochester.edu.
authors.forename: Jessica F
authors.initials: JF
authors.lastname: Cantlon
authors.affiliation: Brain & Cognitive Sciences, University of Rochester.
authors.forename: Steven T
authors.initials: ST
authors.lastname: Piantadosi
authors.affiliation: Brain & Cognitive Sciences, University of Rochester.
authors.forename: Stephen
authors.initials: S
authors.lastname: Ferrigno
authors.affiliation: Brain & Cognitive Sciences, University of Rochester.
authors.forename: Kelly D
authors.initials: KD
authors.lastname: Hughes
authors.affiliation: Brain & Cognitive Sciences, University of Rochester.
authors.forename: Allison M
authors.initials: AM
authors.lastname: Barnard
mesh_terms: D000465:Algorithms; D000818:Animals; D001499:Bayes Theorem; D003071:Cognition; D008433:Mathematics; D048530:Papio anubis
keywords: animal cognition; cognitive development; counting; mathematical cognition; nonhuman primate