Quote:
Originally Posted by kriesel

There are those who would state that phi is the least irrational of the irrational numbers. Its continued fraction representation is the most structured possible: [1;1,1,1,1,1,1,1,1,1,1,1,...]
There are an uncountably infinite number of reals which do not have a computable representation in any form. One example is: given a representation of a Turing machine, the probability that it halts when measured over all possibleprograms and input data, both of which are countably infinite.