mathematical logic
[/ˌmæθəˈmætɪkəl ˈlɒdʒɪk/]
nounfemininepl: lógicas matemáticas
lógica matemática
1. A branch of mathematics and philosophy that applies formal logical methods to mathematical reasoning and explores the foundations of mathematics through symbolic systems.
Mathematical logic is essential for understanding the consistency of formal systems.
A lógica matemática é essencial para compreender a consistência dos sistemas formais.
2. The study of logical reasoning using mathematical tools, including propositional logic, predicate logic, and set theory.
The course covers mathematical logic and its applications to computer science.
O curso aborda lógica matemática e suas aplicações à ciência da computação.
3. A formal system of reasoning that uses symbols and equations to represent logical relationships and validate arguments.
Mathematical logic helps prove theorems without relying on intuition.
A lógica matemática ajuda a provar teoremas sem depender da intuição.
Mathematical logic is a foundational subject in both Brazilian and American higher education, particularly in mathematics, philosophy, and computer science departments. In Brazil, it gained prominence through the influence of formal logic in academic philosophy and the expansion of computer science programs since the 1990s. The term is used identically across Portuguese-speaking countries and is considered a cornerstone discipline in mathematical and computational studies globally.
Related Idioms & Phrases
to apply mathematical logic to a problem
within the bounds of mathematical logic
the axioms of mathematical logic
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