GSC says:Actually, some people think our inborn number sense is logarithmic, and when we learn to count we are sort of working against that bias.

>"... the greatest shortcoming of the human race is our inability to understand the exponential function" -

>This 'shortcoming' seems to have been something 'genetically inbuilt in our psyche. How than to bring home to students the overwhelming importance of this function?

Cheers,

Joe N

This is where someone needs (is obliged to) mention music and logs and the fact that the eight notes of the octave represent a doubling then another doubling (of frequency).

http://sites.cdnis.edu.hk/teachers/pierrelacoste/2010/11/05/music-and-logarithms/ (see The Big Picture)

This was also the topic of Sir Roger spoke about at our Oregon Math Summit in 1997 as I recall. He was mapping the scale to e to the i theta in some way.

http://www.grunch.net/synergetics/mathsummit.html (goes into more detail about what he talked about)

Kirby