ABSTRACT
In this chapter the author devotes ourselves to certain aspects of objective science and subjective knowledge. The first advantage of logic is that reasoning alone is capable of leading to new discoveries—despite a common belief that deductive reasoning produces no new knowledge. In 1931, six years after Hilbert’s manifesto, Kurt Godel proved, by the very method of logic, that all consistent axiomatic formulations of number theory include undecidable propositions. But just like any statistical artifact in observational studies, the confirmation was challenged by other observations. The advantage is that mathematical reasoning often produces results that are contradictory to our intuition and common sense. One of the tasks of logical positivism is to outlaw all speculative statements as meaningless. A characteristic of the current academic world is that if a theorem has found an application, then the theorem will find its way into almost all branches of scientific disciplines.
