Editing Logic in computer science (section)

== Computers to assist logicians ==
One of the first applications to use the term [[artificial intelligence]] was the [[Logic Theorist]] system developed by [[Allen Newell]], [[Cliff Shaw]], and [[Herbert A. Simon|Herbert Simon]] in 1956. One of the things that a logician does is to take a set of statements in logic and deduce the conclusions (additional statements) that must be true by the laws of logic. For example, if given the statements "All humans are mortal" and "Socrates is human" a valid conclusion is "Socrates is mortal".  Of course this is a trivial example. In actual logical systems the statements can be numerous and complex. It was realized early on that this kind of analysis could be significantly aided by the use of computers. [[Logic Theorist]] validated the theoretical work of [[Bertrand Russell]] and [[Alfred North Whitehead]] in their influential work on mathematical logic called ''[[Principia Mathematica]]''. In addition, subsequent systems have been utilized by logicians to validate and discover new mathematical theorems and proofs.<ref>{{cite book|last=Newell|first=Allen|title=Computers and Thought|chapter-url=https://archive.org/details/computersthought00feig|chapter-url-access=registration|year=1963|publisher=McGraw Hill|isbn=978-0262560924|pages=[https://archive.org/details/computersthought00feig/page/109 109–133] |author2=J.C. Shaw |author3=H.C. Simon|editor=Ed Feigenbaum|chapter=Empirical explorations with the logic theory machine}}</ref>