Gödel incompleteness theorem gives an insight about the nature of a theory that can well describe the dynamics of neurons, keeping in consideration the complexity and incapacity of reductionism. Though there have remained many controversies about his viewpoint- a tussle between optimists and pessimists but there are few philosophical attributes associated with the theorem that I believe can help us to interpret the nature of theorizing neural dynamics due to its complex nature. David Hilbert recognized that axioms tend to be self consistent if we cannot prove that a statement S and its negation ~S are both true theorems. It can be considered complete if for every statement S we can prove either S or ~S is a true theorem (in terms of language) This statement of Professor Hilbert When taken along with Kurt Gödel we can have an intuition of the theory or a mathematical structure completely defining the neural dynamic. Naturally there is a two different dynamics being active at tub...