Entscheidungsproblem

The Entscheidungsproblem, or "decision problem," is a question in computer science and mathematical logic that asks whether there is a systematic way to determine the truth or falsehood of any mathematical statement using a set of rules. Formulated by David Hilbert in the early 20th century, it sought a universal method for solving all mathematical problems. However, in 1936, Alan Turing proved there is no such method; some statements are undecidable—meaning no algorithm can determine their truth in every case. This finding has profound implications for mathematics, computer science, and our understanding of computability.