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2. Algebraic logic - Wikipedia

   en.wikipedia.org/wiki/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 the algebraic semantics for these deductive systems) and connected ...

3. Boolean algebra - Wikipedia

   en.wikipedia.org/wiki/Boolean_algebra

   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.

4. If and only if - Wikipedia

   en.wikipedia.org/wiki/If_and_only_if

   Wherever logic is applied, especially in mathematical discussions, it has the same meaning as above: it is an abbreviation for if and only if, indicating that one statement is both necessary and sufficient for the other. This is an example of mathematical jargon (although, as noted above, if is more often used than iff in statements of definition).

5. List of logic symbols - Wikipedia

   en.wikipedia.org/wiki/List_of_logic_symbols

   propositional logic, Boolean algebra, Heyting algebra: is false when A is true and B is false but true otherwise. may mean the same as (the symbol may also indicate the domain and codomain of a function; see table of mathematical symbols).

6. Mathematical logic - Wikipedia

   en.wikipedia.org/wiki/Mathematical_logic

   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.

7. List of axioms - Wikipedia

   en.wikipedia.org/wiki/List_of_axioms

   3 Other axioms of mathematical logic. 4 Geometry. 5 Other axioms. 6 See also. ... This is a list of axioms as that term is understood in mathematics. In epistemology, ...