Numerical cognition
Does the brain code 'how many' with two channels or many?
Open access · cc by · source: Europe PMC
After staring at 50-dot arrays, people saw smaller arrays as even fewer and larger arrays as even more numerous, a pattern that fits many number-tuned channels rather than two opposing ones.
Study at a glance
- Design
- Human experiment — Within-subject control-then-adaptation dot-array comparison task, with a between-subject small (10-50) versus large (50-250) numerosity range; adaptor fixed at 50 dots.
- N
- N=8 · 8 adults, 4 per stimulus-range condition, each completing 240 control and 240 adaptation trials; a footnoted extra experiment used a 50-130 range but its N is not stated.
- Population
- University students at Emory University with normal vision
- Outcome
- Proportion of trials judging the adapted-location test array as more numerous (adaptation minus control)
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Key findings
Without adaptation, accuracy was well above chance and fell as the two numbers got closer in ratio, as Weber's law predicts. After adapting to 50 dots, arrays smaller than 50 were underestimated (d = 0.72) and arrays larger than 50 were overestimated (d = 0.25), and the two ranges differed clearly from each other (d = 0.95). This bidirectional, repulsive aftereffect is what a multichannel code predicts, whereas an opponent two-channel code predicts either no effect or a shift in one direction only.
Methodology
Eight students compared the numerosity of two briefly flashed dot arrays, one in a location that had been repeatedly exposed to 50-dot adaptor arrays and one in an unadapted location. Half the participants saw arrays from 10 to 50 dots and half from 50 to 250 dots. Everyone did a control block without adaptation first, then the adaptation block, and the researchers compared how often the adapted array was judged more numerous.
Limitations
The sample was tiny, with only four people per range, and range was manipulated between participants, so individual differences could contribute. Dot size and field area were fixed, meaning total dot area and density rose with number, so the aftereffects might partly reflect adaptation to those non-numerical cues. The control task always came first, so practice or fatigue could be confounded with adaptation, and the study infers neural coding from behaviour without measuring the brain.
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