January, 2008

Seeing Sigmoids

One of the most basic but misleading heuristics that the human mind uses is that of linearity. If we see a progression (say 0, 1, 2), our first instinct is that the next step follows linearly (namely 3). But there is no a priori reason to prefer the linear interpretation to any other, say quadratic (which would suggest the next step in the sequence is 4). For whatever reason – probably due to the relative simplicity of linearity – our brains seem wired to prefer linear explanations to non-linear.…