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Artificial intelligence (AI), in its broadest sense, is intelligence exhibited by machines, particularly computer systems.It is a field of research in computer science that develops and studies methods and software that enable machines to perceive their environment and use learning and intelligence to take actions that maximize their chances of achieving defined goals. [1]
The Dartmouth Summer Research Project on Artificial Intelligence was a 1956 summer workshop widely considered [1] [2] [3] to be the founding event of artificial intelligence as a field. [4] The workshop has been referred to as "the Constitutional Convention of AI". [ 5 ]
Mathematical knowledge management (MKM) is the study of how society can effectively make use of the vast and growing literature on mathematics. It studies approaches such as databases of mathematical knowledge, automated processing of formulae and the use of semantic information, and artificial intelligence. Mathematics is particularly suited ...
Artificial intelligence could be defined as "systems which display intelligent behaviour by analysing their environment and taking actions – with some degree of autonomy – to achieve specific goals". [7] These systems might be software-based or embedded in hardware. [8] They can be rely on machine learning or rule-based algorithms. [9]
In 2017, a community-maintained project to develop a Lean library mathlib began, with the goal to digitize as much of pure mathematics as possible in one large cohesive library, up to research level mathematics. [8] [9] As of September 2024, mathlib had formalized over 165,000 theorems and 85,000 definitions in Lean. [10]
The development of formal logic played a big role in the field of automated reasoning, which itself led to the development of artificial intelligence. A formal proof is a proof in which every logical inference has been checked back to the fundamental axioms of mathematics. All the intermediate logical steps are supplied, without exception.
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