Home Math Art history Astronomy About GETITSCHOOLS

LOGIC OPERATIONS are the branch of algebra

in which the values of the variables are the

truth values true and false, usually denoted 1 and 0,

respectively. Instead of elementary algebra,

where the values of the variables are numbers

and the prime operations are addition and multiplication,

the main operations of logic operations are the conjunction

(and) denoted as ∧, the disjunction (or) denoted as ∨,

and the negation (not) denoted

as ¬. It is thus a formalism for describing logical operations,

in the same way that elementary algebra describes

numerical operations.

Logic operations were introduced by George Boole in his first book

The Mathematical Analysis of Logic (1847), and set forth more fully in his An

Investigation of the Laws of Thought (1854). According to Huntington, the term

"Logic" was first suggested by Sheffer in 1913, although Charles Sanders Peirce

gave the title "A Logic operation with One Constant" to the first chapter of his

"The Simplest Mathematics"

in 1880. Logic operations has been fundamental in the development of

digital electronics,

and is provided for in all modern programming languages.

It is also used in set theory and statistics.