Tag Archives: Architecture

Size and Distance Effect

Posted on November 19, 2022 by Graham Shawcross

The Distance Effect In whatever way they are presented, it is easier to compare two magnitudes that are quantitatively further apart, than it is to compare two magnitudes that are quantitatively closer together. This is the distance effect. Figure 1: … Continue reading →

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Round and Sharp Numbers

Posted on October 30, 2022 by Graham Shawcross

“Don’t interrupt,” Bruno said as we came in. “I’m counting the Pigs in the field!” “How many are there?” I enquired. “About a thousand and four,” said Bruno. “You mean ‘about a thousand,’” Sylvie corrected him. “There’s no good saying … Continue reading →

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Königsberg Bridges

Posted on March 7, 2016 by Graham Shawcross

Background The great Swiss mathematician Leonhard Euler, who had been asked by the Mayor of Danzig to provide a solution to the Königsberg Bridge problem, sent him this disdainful reply: “. . .  Thus you see, most noble Sir, how this type of … Continue reading →

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Weber’s Law

Posted on November 18, 2015 by Graham Shawcross

Weber’s Law expresses a general relationship between an initial stimulus, a quantity or intensity, and the increased stimulus required for a change in the stimulus to be detected. The task is to tell apart, or discriminate, two things that differ … Continue reading →

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Baboon Counting Algorithms

Posted on October 2, 2015 by Graham Shawcross

Human counting can be thought of as a kind of condition controlled logic where counters increment a sequence of labels “one, two, three four…” until some condition is met. (Cantlon et al. 2015) The diagram below illustrates some, but not all, … Continue reading →

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Place Value

Posted on September 24, 2015 by Graham Shawcross

Laplace “The ingenious method of expressing every possible number using a set of ten symbols (each symbol having a place value and an absolute value) emerged in India. The idea seems so simple nowadays that its significance and profound importance … Continue reading →

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Shooting Baboons: A Story

Posted on August 7, 2015 by Graham Shawcross

If a man with a gun goes to shoot baboons near the edge of a forest, the baboons will see him coming, hide in the forest and not come out until he is seen to go away. If the first … Continue reading →

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Beau Geste Hypothesis

Posted on June 29, 2015 by Graham Shawcross

In the 1924 book Beau Geste, and the many film versions that followed it, the climax of the action takes place in the desert at Fort Zinderneuf where members of the French Foreign Legion are attempting to hold off an Arab  attack. … Continue reading →

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Otto Koehler

Posted on June 23, 2015 by Graham Shawcross

Numerical Competence in Animals The German zoologist Otto Koehler (1889-1974) was the first scientist to convincingly demonstrate numerical competence in animals. The first part of this post is based upon a panel from Counting on neurons: the neurobiology of numerical competence” (Nieder … Continue reading →

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Primed Number Lines

Posted on April 28, 2015 by Graham Shawcross

As noted in the previous post, there is a right brain hemisphere dominance in attending to visuospatial and numerical information. (Rogers et al 2013) So when patients with a right parietal lesion and therefore a spatial deficit for left side stimuli, … Continue reading →

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