Church Question

The Church-Turing Thesis, often referred to as the Church Question, is a principle in computer science and mathematics that suggests any computation that can be performed algorithmically can be executed by a Turing machine. Named after mathematicians Alonzo Church and Alan Turing, the concept explores the limits of what can be computed. Essentially, it poses that the notion of "computation" is robust and that various methods of defining it—like recursive functions or Turing machines—are equivalent in their problem-solving capabilities. This has profound implications for understanding the nature of computable functions and the foundations of computer science.