mathematical logic
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Mathematical logic is a subfield of mathematics that studies reasoning and proof using mathematical methods and symbols. It matters because it provides rigorous tools for understanding what can and cannot be proven, which has applications in computer science, philosophy, and the foundations of mathematics itself.
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Mathematics Portal v t e
Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include usage of logic to characterize correct mathematical reasoning or to establish foundations of mathematics.