Friday, May 30, 2008
Why we should love logarithms
I'd never have guessed, in the days when I used to paw through my grubby book of logarithms in maths classes, that I'd come to look back with fondness on these tables of cryptic decimals. In those days the most basic of electronic calculators was the size of a laptop and about as expensive in real terms, so books of logarithms were the quickest way to multiply large numbers. Of course, logarithms remain central to any advanced study of mathematics. But as they are no longer a practical arithmetic tool, one can’t now assume general familiarity with them. And so, countless popular science books contain potted guides to using exponential notation and interpreting logarithmic axes on graphs. Why do they need to do this? Because logarithmic scaling is the natural system for magnitudes of quantities in the sciences.
That's why a new claim that logarithmic mapping of numbers is the natural, intuitive scheme for humans rings true. Stanislas Dehaene of the Federative Institute of Research in Gif-sur-Yvette, France, and his co-workers report in Science 1 that both adults and children of an Amazonian tribe called the Mundurucu, who have had almost no exposure to the linear counting scale of the industrialized world, judge magnitudes on a logarithmic basis.
Posted by Azra Raza at 07:44 AM | Permalink