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 –

“Two Systems of Non-Symbolic Numerical Cognition” by D. Hyde, a review of research on the two psychological systems for cognitive representation of number –

A summary of some landmark studies regarding the cognitive representation of number –

A great Wikipedia summary of some of the creatures which have demonstrated some capacity for number sense –

A study showing the gradual “linearization” of the approximate number system’s logarithmic error allowance during childhood –

An analysis of possible evolutionary reasons the approximate number system is mapped logarithmically –

The 2014 paper which improved on Graham’s upper limit to his Ramsey theorem question –

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