The set of numbers within [0,1] that are not normal has Lebesgue measure 0. Thus, if one picks a number in the unit interval at random, it is almost sure that it is normal. However, the set of known normal numbers (for which we know the decimal expansion, i.e. excluding those with an uncomputable one) is rather small. So, if mathematics is to be regarded as a sampling process, it is an extremely biased one.
Bias at its best
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment