Computability theory is a vast and complex subject that explores the limits and possibilities of computation. The field is interdisciplinary, involving elements of computer science, mathematics, and philosophy. Many different terms are often used interchangeably with computability theory, including recursive function theory, effective computability, and algorithmic theory. Other closely related areas of research include theoretical computer science, complexity theory, and artificial intelligence. Researchers in these fields explore questions such as what can and cannot be computed, how to design efficient algorithms for various problems, and how to build machines that can reason and learn. Whatever the terminology or focus of research, the fundamental goal of computability theory is to understand the nature and limitations of computation.