Paper’s conclusion: We have proposed extension of active information for domains other than those confined to a finite interval. Maximum entropy (maxent) is defined on domains other than a finite interval.
Pachon: After all the tangle of modernism, Gödel left us as at the beginning: it is not merely that we cannot make a determination, but that even our most formal systems require faith—just like before modernism began.
Pachón: The result was shattering. Gödel showed the limitations of any formal axiomatic system in modeling basic arithmetic. He showed that no axiomatic system could be complete and consistent at the same time.