THUNK – 107. Graham’s Number & Number Sense


Graham’s number is…really really big. But our brains start throwing errors at much smaller quantities.

-Links for the Curious-

Numberphile’s fantastic video of Ron Graham explaining Graham’s number – www.youtube.com/watch?v=HX8bihEe3nA

“Two Systems of Non-Symbolic Numerical Cognition” by D. Hyde, a review of research on the two psychological systems for cognitive representation of number – www.ncbi.nlm.nih.gov/pmc/articles/PMC3228256/

A summary of some landmark studies regarding the cognitive representation of number – software.rc.fas.harvard.edu/lds/wp-content/uploads/2010/07/feigenson2004.pdf

A great Wikipedia summary of some of the creatures which have demonstrated some capacity for number sense – en.wikipedia.org/wiki/Number_sense_in_animals

A study showing the gradual “linearization” of the approximate number system’s logarithmic error allowance during childhood – www.ncbi.nlm.nih.gov/pubmed/12741747

An analysis of possible evolutionary reasons the approximate number system is mapped logarithmically – www.ncbi.nlm.nih.gov/pubmed/26755188

The 2014 paper which improved on Graham’s upper limit to his Ramsey theorem question – www.sciencedirect.com/science/article/pii/S0195669814000936

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