From:
A. N. Kolmogorov, Logical basis for information theory and probability theory, IEEE
IT-14 (1968) (one of the founders of modern probability theory):
The proceeding rather superficial
discourse should prove two general theses:
(1) Basic information theory concepts must and can be founded without
recourse to the probability theory . . . .
(2) Introduced in this manner, information theory concepts can form the
basis
of the concept random, which [would then] naturally suggest that
the
random is the absence of periodicity.