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Author |
Brannon, E.M.; Terrace, H.S. |
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Title |
Ordering of the numerosities 1 to 9 by monkeys |
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Journal Article |
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Year |
1998 |
Publication |
Science (New York, N.Y.) |
Abbreviated Journal |
Science |
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Volume |
282 |
Issue |
5389 |
Pages |
746-749 |
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Keywords |
Animals; *Discrimination (Psychology); Macaca mulatta/*psychology; *Mathematics; *Mental Processes |
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Abstract |
A fundamental question in cognitive science is whether animals can represent numerosity (a property of a stimulus that is defined by the number of discriminable elements it contains) and use numerical representations computationally. Here, it was shown that rhesus monkeys represent the numerosity of visual stimuli and detect their ordinal disparity. Two monkeys were first trained to respond to exemplars of the numerosities 1 to 4 in an ascending numerical order (1 --> 2 --> 3 --> 4). As a control for non-numerical cues, exemplars were varied with respect to size, shape, and color. The monkeys were later tested, without reward, on their ability to order stimulus pairs composed of the novel numerosities 5 to 9. Both monkeys responded in an ascending order to the novel numerosities. These results show that rhesus monkeys represent the numerosities 1 to 9 on an ordinal scale. |
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Department of Psychology, Columbia University, New York, NY 10027, USA. liz@psych.columbia.edu |
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0036-8075 |
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PMID:9784133 |
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no |
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Call Number |
refbase @ user @ |
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606 |
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Author |
Real, L.A. |
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Title |
Animal choice behavior and the evolution of cognitive architecture |
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Journal Article |
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Year |
1991 |
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Science (New York, N.Y.) |
Abbreviated Journal |
Science |
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Volume |
253 |
Issue |
5023 |
Pages |
980-986 |
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Keywords |
Animals; Bees/genetics/*physiology; Biomechanics; *Choice Behavior; *Cognition; *Evolution; Mathematics; Models, Genetic; Probability |
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Abstract |
Animals process sensory information according to specific computational rules and, subsequently, form representations of their environments that form the basis for decisions and choices. The specific computational rules used by organisms will often be evolutionarily adaptive by generating higher probabilities of survival, reproduction, and resource acquisition. Experiments with enclosed colonies of bumblebees constrained to foraging on artificial flowers suggest that the bumblebee's cognitive architecture is designed to efficiently exploit floral resources from spatially structured environments given limits on memory and the neuronal processing of information. A non-linear relationship between the biomechanics of nectar extraction and rates of net energetic gain by individual bees may account for sensitivities to both the arithmetic mean and variance in reward distributions in flowers. Heuristic rules that lead to efficient resource exploitation may also lead to subjective misperception of likelihoods. Subjective probability formation may then be viewed as a problem in pattern recognition subject to specific sampling schemes and memory constraints. |
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Department of Biology, University of North Carolina, Chapel Hill 27599-3280 |
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0036-8075 |
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PMID:1887231 |
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no |
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Call Number |
Equine Behaviour @ team @ |
Serial |
2846 |
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Author |
Czerlinski, G.H.; Erickson, J.O.; Theorell, H. |
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Title |
Chemical relaxation studies on the horse liver alcohol dehydrogenase system |
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Journal Article |
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Year |
1979 |
Publication |
Physiological Chemistry and Physics |
Abbreviated Journal |
Physiol Chem Phys |
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Volume |
11 |
Issue |
6 |
Pages |
537-569 |
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Keywords |
Alcohol Oxidoreductases/*metabolism; Animals; Buffers; Electron Transport; Ethanol/metabolism; Horses; Hydrogen-Ion Concentration; Liver/*enzymology; Mathematics; NAD/metabolism; Oscillometry; Osmolar Concentration; Temperature; Time Factors |
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Abstract |
Chemical relaxation studies on the system horse liver alcohol dehydrogenase, nicotinamide adenine dinucleotide, and ethanol were conducted observing fluorescence changes between 400 and 500 nm. Temperature-jump experiments were performed at pH 6.5, 7.0, 8.0, and 9.0; concentration-jump experiments at pH 9.0. The reciprocal of the slowest relaxation time was found to be linearly dependent upon the enzyme concentration for relatively low enzyme concentrations, as predicted earlier. Use of the wide pH-range necessitated expression of the four apparent dissociation constants of the catalytic reaction cycle in terms of pH-independent constants. The system was described in terms of only one (or two) catalysis-linked protons not associated with the electron transfer. Protonic steps in a buffered system are in rapid equilibrium, too fast to be measured with the equipment available. Assuming only two of the four bimolecular reaction steps in the four-step cycle are fast compared to the remaining two, six cases may be considered with six expressions for the reciprocal of the slowest relaxation time. Comparison with the experimental data revealed that the bimolecular reaction steps governing the slowest relaxation time change with pH. Above the effective time resolution of the temperature-lump instrument with fluorescence detection (0.1 msec) only one other relaxation time was detectable and only at pH 9. This relaxation time, found to be independent of the concentration of all reactants within experimental error (r = 10 +/- 5 msec), is most likely due to an interconversion among ternary complexes. |
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0031-9325 |
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Notes |
PMID:44918 |
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no |
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Call Number |
Equine Behaviour @ team @ |
Serial |
3813 |
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Author |
Kaplan, A.I.; Borodovskii, M.I. |
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Title |
[Alternative animal behavior: a model and its statistical characteristics] |
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Journal Article |
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Year |
1989 |
Publication |
Nauchnye Doklady Vysshei Shkoly. Biologicheskie Nauki |
Abbreviated Journal |
Nauchnye Doki Vyss Shkoly Biol Nauki |
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Issue |
3 |
Pages |
29-32 |
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Keywords |
Animals; *Behavior, Animal; Cognition; Male; Mathematics; *Models, Biological; *Models, Statistical; Rats; Reinforcement (Psychology) |
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Abstract |
The rats' alternative behaviour in T-maze at simultaneous two-sided food refreshment in 13 trials a day during 6 days has been studied. It has been found that in the first testing days the indexes of alternative behaviour of animals correspond to the characteristics of the random alternation. However, on the 5-6th day of testing in the overwhelming majority of rats the true deviation of alternation index above or below than the theoretical values has been revealed. A question on the existence of two strategies of cognitive behaviour alteration and perseveration in rat population is under discussion. |
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Russian |
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Original Title |
Al'ternativnoe povedenie zhivotnykh: model' i statisticheskie kharakteristiki |
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ISSN |
0470-4606 |
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Notes |
PMID:2742929 |
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no |
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Call Number |
Equine Behaviour @ team @ |
Serial |
2799 |
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Author |
Matsuzawa, T. |
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Title |
Use of numbers by a chimpanzee |
Type |
Journal Article |
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Year |
1985 |
Publication |
Nature |
Abbreviated Journal |
Nature |
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Volume |
315 |
Issue |
6014 |
Pages |
57-59 |
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Keywords |
Animals; Behavior, Animal/physiology; Cognition; Female; Mathematics; Pan troglodytes/*physiology |
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Abstract |
Recent studies have examined linguistic abilities in apes. However, although human mathematical abilities seem to be derived from the same foundation as those in language, we have little evidence for mathematical abilities in apes (but for exceptions see refs 7-10). In the present study, a 5-yr-old female chimpanzee (Pan troglodytes), 'Ai', was trained to use Arabic numerals to name the number of items in a display. Ai mastered numerical naming from one to six and was able to name the number, colour and object of 300 types of samples. Although no particular sequence of describing samples was required, the chimpanzee favoured two sequences (colour/object/number and object/colour/number). The present study demonstrates that the chimpanzee was able to describe the three attributes of the sample items and spontaneously organized the 'word order'. |
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0028-0836 |
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PMID:3990808 |
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no |
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Call Number |
Equine Behaviour @ team @ |
Serial |
2793 |
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Author |
Kiltie, R.A.; Fan, J.; Laine, A.F. |
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Title |
A wavelet-based metric for visual texture discrimination with applications in evolutionary ecology |
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Journal Article |
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Year |
1995 |
Publication |
Mathematical Biosciences |
Abbreviated Journal |
Math Biosci |
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Volume |
126 |
Issue |
1 |
Pages |
21-39 |
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Keywords |
Animals; Carnivora; *Ecology; Equidae; *Evolution; Humans; Mathematics; Models, Biological; Moths; *Pattern Recognition, Visual; Pigmentation |
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Abstract |
Much work on natural and sexual selection is concerned with the conspicuousness of visual patterns (textures) on animal and plant surfaces. Previous attempts by evolutionary biologists to quantify apparency of such textures have involved subjective estimates of conspicuousness or statistical analyses based on transect samples. We present a method based on wavelet analysis that avoids subjectivity and that uses more of the information in image textures than transects do. Like the human visual system for texture discrimination, and probably like that of other vertebrates, this method is based on localized analysis of orientation and frequency components of the patterns composing visual textures. As examples of the metric's utility, we present analyses of crypsis for tigers, zebras, and peppered moth morphs. |
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Department of Zoology, University of Florida, Gainesville |
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0025-5564 |
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PMID:7696817 |
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no |
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Call Number |
Equine Behaviour @ team @ |
Serial |
2660 |
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Author |
Brannon, E.M.; Cantlon, J.F.; Terrace, H.S. |
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Title |
The role of reference points in ordinal numerical comparisons by rhesus macaques (Macaca mulatta) |
Type |
Journal Article |
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Year |
2006 |
Publication |
Journal of Experimental Psychology. Animal Behavior Processes |
Abbreviated Journal |
J Exp Psychol Anim Behav Process |
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Volume |
32 |
Issue |
2 |
Pages |
120-134 |
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Keywords |
Animals; *Cognition; *Discrimination (Psychology); *Generalization (Psychology); Macaca mulatta/*psychology; Male; Mathematics; *Pattern Recognition, Visual |
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Abstract |
Two experiments examined ordinal numerical knowledge in rhesus macaques (Macaca mulatta). Experiment 1 replicated the finding (E. M. Brannon & H. S. Terrace, 2000) that monkeys trained to respond in descending numerical order (4-->3-->2-->1) did not generalize the descending rule to the novel values 5-9 in contrast to monkeys trained to respond in ascending order. Experiment 2 examined whether the failure to generalize a descending rule was due to the direction of the training sequence or to the specific values used in the training sequence. Results implicated 3 factors that characterize a monkey's numerical comparison process: Weber's law, knowledge of ordinal direction, and a comparison of each value in a test pair with the reference point established by the first value of the training sequence. |
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Center for Cognitive Neuroscience and Department of Psychological and Brain Sciences, Duke University, Durham, NC 27708, USA. brannon@duke.edu |
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0097-7403 |
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PMID:16634655 |
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no |
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Call Number |
Equine Behaviour @ team @ |
Serial |
2761 |
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Author |
Beran, M.J.; Smith, J.D.; Redford, J.S.; Washburn, D.A. |
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Title |
Rhesus macaques (Macaca mulatta) monitor uncertainty during numerosity judgments |
Type |
Journal Article |
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Year |
2006 |
Publication |
Journal of Experimental Psychology. Animal Behavior Processes |
Abbreviated Journal |
J Exp Psychol Anim Behav Process |
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Volume |
32 |
Issue |
2 |
Pages |
111-119 |
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Keywords |
Animals; *Cognition; *Judgment; Macaca mulatta/*psychology; Male; Mathematics; *Pattern Recognition, Visual; *Uncertainty |
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Abstract |
Two rhesus macaques (Macaca mulatta) judged arrays of dots on a computer screen as having more or fewer dots than a center value that was never presented in trials. After learning a center value, monkeys were given an uncertainty response that let them decline to make the numerosity judgment on that trial. Across center values (3-7), errors occurred most often for sets adjacent in numerosity to the center value. The monkeys also used the uncertainty response most frequently on these difficult trials. A 2nd experiment showed that monkeys' responses reflected numerical magnitude and not the surface-area illumination of the displays. This research shows that monkeys' uncertainty-monitoring capacity extends to the domain of numerical cognition. It also shows monkeys' use of the purest uncertainty response possible, uncontaminated by any secondary motivator. |
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Language Research Center, Georgia State University, Atlanta, 30302, USA. mjberan@yahoo.com |
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0097-7403 |
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PMID:16634654 |
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no |
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Equine Behaviour @ team @ |
Serial |
2762 |
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Author |
Beran, M.J.; Pate, J.L.; Washburn, D.A.; Rumbaugh, D.M. |
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Title |
Sequential responding and planning in chimpanzees (Pan troglodytes) and rhesus macaques (Macaca mulatta) |
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Journal Article |
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Year |
2004 |
Publication |
Journal of Experimental Psychology. Animal Behavior Processes |
Abbreviated Journal |
J Exp Psychol Anim Behav Process |
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Volume |
30 |
Issue |
3 |
Pages |
203-212 |
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Animals; *Cognition; Female; Goals; Learning; Macaca mulatta/*psychology; Male; *Mathematics; Pan troglodytes/*psychology; Task Performance and Analysis |
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Abstract |
Chimpanzees (Pan troglodytes) and rhesus macaques (Macaca mulatta) selected either Arabic numerals or colored squares on a computer monitor in a learned sequence. On shift trials, the locations of 2 stimuli were interchanged at some point. More errors were made when this interchange occurred for the next 2 stimuli to be selected than when the interchange was for stimuli later in the sequence. On mask trials, all remaining stimuli were occluded after the 1st selection. Performance exceeded chance levels for only 1 selection after these masks were applied. There was no difference in performance for either stimulus type (numerals or colors). The data indicated that the animals planned only the next selection during these computerized tasks as opposed to planning the entire response sequence. |
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Language Research Center, Georgia State University, Atlanta 30303, USA. mjberan@yahoo.com |
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0097-7403 |
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PMID:15279511 |
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no |
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Call Number |
Equine Behaviour @ team @ |
Serial |
2767 |
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Permanent link to this record |
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Author |
Brannon, E.M.; Terrace, H.S. |
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Title |
Representation of the numerosities 1-9 by rhesus macaques (Macaca mulatta) |
Type |
Journal Article |
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Year |
2000 |
Publication |
Journal of Experimental Psychology. Animal Behavior Processes |
Abbreviated Journal |
J Exp Psychol Anim Behav Process |
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26 |
Issue |
1 |
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31-49 |
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Animals; *Cognition; Macaca mulatta/*psychology; *Mathematics; Perception; Reaction Time |
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Abstract |
Three rhesus monkeys (Macaca mulatta) were trained to respond to exemplars of 1, 2, 3, and 4 in an ascending, descending, or a nonmonotonic numerical order (1-->2-->3-->4, 4-->3-->2--1, 3-->1-->4-->2). The monkeys were then tested on their ability to order pairs of the novel numerosities 5-9. In Experiment 1, all 3 monkeys ordered novel exemplars of the numerosities 1-4 in ascending or descending order. The attempt to train a nonmonotonic order (3-->1-->4-->2) failed. In Experiment 2A, the 2 monkeys who learned the ascending numerical rule ordered pairs of the novel numerosities 5-9 on unreinforced trials. The monkey who learned the descending numerical rule failed to extrapolate the descending rule to new numerosities. In Experiment 2B all 3 monkeys ordered novel exemplars of pairs of the numerosities 5-9. Accuracy and latency of responding revealed distance and magnitude effects analogous to previous findings with human participants (R. S. Moyer & T. K. Landaeur, 1967). Collectively these studies show that monkeys represent the numerosities 1-9 on at least an ordinal scale. |
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Department of Psychology, Columbia University, New York, New York 10027, USA. liz@psych.columbia.edu |
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0097-7403 |
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PMID:10650542 |
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Call Number |
Equine Behaviour @ team @ |
Serial |
2775 |
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