What is mathematics and computer science?

Hi,

Mathematics, which is sometimes classified within a third group of science called formal science, has both similarities and differences with the natural and social sciences.[2] It is similar to empirical sciences in that it involves an objective, careful and systematic study of an area of knowledge; it is different because of its method of verifying its knowledge, using a priori rather than empirical methods.[4] Formal science, which also includes statistics and logic, is vital to the empirical sciences. Major advances in formal science have often led to major advances in the physical and biological sciences. The formal sciences are essential in the formation of hypotheses, theories, and laws,[5] both in discovering and describing how things work (natural sciences) and how people think and act (social sciences).

Cognitive science is a rapidly evolving field that deals with complex cognitive processes, intelligent systems, and the emergent behavior of large-scale real-world computational systems. It is an interdisciplinary study. It draws from converging evidence and methodology of diverse fields, including psychology, physics, neuroscience, philosophy, information science, COMPUTER SCIENCE, anthropology and linguistics. The term cognitive science was coined by Christopher Longuet-Higgins in his 1973 commentary on the Lighthill report, which concerned the then-current state of Artificial Intelligence research. In the same decade, the journal Cognitive Science and the Cognitive Science Society began.

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