Entropy, not Negentropy

Abstract

WOOLHOUSE¹ remarks that the work of Shannon and Brillouin showed the fundamental relationship between information defined as I=−ΣP_i log P_i (where 0 ⩽P_i⩽1, ΣP_i=1 and P_i is the relative probability of the ith symbol generated by a source), and entropy defined in statistical terms as S=−KΣP_i log P_i (where ΣP_i=1 and P_i is, in this case, the probability of an idealized physical system being in the state i of n possible equivalent states or complexions). It is the unwarranted extrapolation of this relationship to biological systems which, Woolhouse says, leads to erroneous conclusions. He points to the warning given by Brillouin himself, that the theory of information ignores the value or the meaning of the information which is quantified by the definition. Yet in spite of these warnings by Brillouin, the confusion is already present in his work even before its extension to biology.