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Mathematical logic - History | A Wisdom Archive on Mathematical logic - History | | Mathematical logic - History A selection of articles related to Mathematical logic - History | |
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Mathematical logic, Mathematical logic - Assignment functions, Mathematical logic - First-order languages and structures, Mathematical logic - History, Mathematical logic - Logical implication and truth, Mathematical logic - Logical satisfaction, Mathematical logic - Some fundamental results, Mathematical logic - Substitutability, Mathematical logic - Technical reference, Mathematical logic - Terms formulas and sentences, Mathematical logic - Topics in mathematical logic, Mathematical logic - Variable substitution, Logic, Model theory, Computability logic, Game semantics, Provability logic, Interpretability logic, Sequent calculus, Intuitionistic logic, Predicate logic, Theory of institutions, Table of mathematical symbols, Infinitary logic
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ARTICLES RELATED TO Mathematical logic - History | | | |  Mathematical logic - History: Encyclopedia II - Mathematical logic - HistoryMathematical logic was the name given by Giuseppe Peano to what is also known as symbolic logic. In essentials, it is still the logic of Aristotle, but from the point of view of notation it is written as a branch of abstract algebra.
Attempts to treat the operations of formal logic in a symbolic or algebraic way were made by some of the more philosophical mathematicians, such as Leibniz and Lambert; but their labors remained little known and isolated. It was George Boole and then Augustus De Morgan, in the middle of the ninetee ...
See also:Mathematical logic, Mathematical logic - History, Mathematical logic - Topics in mathematical logic, Mathematical logic - Some fundamental results, Mathematical logic - Technical reference, Mathematical logic - First-order languages and structures, Mathematical logic - Terms formulas and sentences, Mathematical logic - Assignment functions, Mathematical logic - Logical satisfaction, Mathematical logic - Logical implication and truth, Mathematical logic - Variable substitution, Mathematical logic - Substitutability Read more here: » Mathematical logic: Encyclopedia II - Mathematical logic - History |
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| | | | Mathematical logic - History: Encyclopedia II - Mathematical logic - Technical reference
Mathematical logic - First-order languages and structures.
Definition. A first-order language is a collection of distinct typographical symbols classified as follows:
The equality symbol ; the connectives , ; the universal quantifier and the parentheses , .
A countable set of variable symbols .
A set of constant symbols .
A set of function symbol ...
See also:Mathematical logic, Mathematical logic - History, Mathematical logic - Topics in mathematical logic, Mathematical logic - Some fundamental results, Mathematical logic - Technical reference, Mathematical logic - First-order languages and structures, Mathematical logic - Terms formulas and sentences, Mathematical logic - Assignment functions, Mathematical logic - Logical satisfaction, Mathematical logic - Logical implication and truth, Mathematical logic - Variable substitution, Mathematical logic - Substitutability Read more here: » Mathematical logic: Encyclopedia II - Mathematical logic - Technical reference |
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| | | | Mathematical logic - History: Encyclopedia II - Mathematical logic - Topics in mathematical logic The main areas of mathematical logic include model theory, proof theory and recursion theory (often now referred to as computability theory). Axiomatic set theory is sometimes considered too. There are many overlaps with computer science, since many early pioneers in computer science, such as Alan Turing, were mathematicians and logicians.
The study of programming language semantics derives from model ...
See also:Mathematical logic, Mathematical logic - History, Mathematical logic - Topics in mathematical logic, Mathematical logic - Some fundamental results, Mathematical logic - Technical reference, Mathematical logic - First-order languages and structures, Mathematical logic - Terms formulas and sentences, Mathematical logic - Assignment functions, Mathematical logic - Logical satisfaction, Mathematical logic - Logical implication and truth, Mathematical logic - Variable substitution, Mathematical logic - Substitutability Read more here: » Mathematical logic: Encyclopedia II - Mathematical logic - Topics in mathematical logic |
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