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Algebraic logic. In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables . What is now usually called classical algebraic logic focuses on the identification and algebraic description of models appropriate for the study of various logics (in the form of classes of algebras that constitute ...
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.
Feb 9, 2024 · Application areas of algebraic logic range from logic and linguistics through cognitive science, to even relativity theory, cf., e.g., the work of the Amsterdam school , , , , and . This work was supported by the Hungarian National Foundation for Scientific Research T30314, T35192.
Mar 2, 2009 · The algebra of logic, as an explicit algebraic system showing the underlying mathematical structure of logic, was introduced by George Boole (1815–1864) in his book The Mathematical Analysis of Logic (1847). It is therefore to be distinguished from the more general approach of algebraic logic. The methodology initiated by Boole was ...
- Stanley Burris, Javier Legris
- 2009
Pages in category "Algebraic logic". The following 23 pages are in this category, out of 23 total. This list may not reflect recent changes . Algebraic logic.
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and false, usually denoted 1 and 0, whereas in elementary algebra the values of the variables are numbers. Second, Boolean algebra uses logical operators such ...
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