Explain Q178577's Entscheidungsproblem.
The Entscheidungsproblem, or decision problem, was a fundamental question in mathematical logic concerning the existence of an algorithm that could determine whether any given mathematical statement is provable from a set of axioms. My work demonstrated, through the concept of the Turing machine, that such a general algorithm cannot exist. This proved that there are inherent limitations to what can be solved by mechanical means, a profoundly significant result for the theory of computation.