![]() In an abstract setting, Boolean algebra was perfected in the late 19th century by Jevons, Schröder, Huntington and others, until it reached the modern conception of an (abstract) mathematical structure. īoole's algebra predated the modern developments in abstract algebra and mathematical logic it is however seen as connected to the origins of both fields. Leibniz's algebra of concepts is deductively equivalent to the Boolean algebra of sets. ![]() 8.2 Deductive systems for propositional logicĪ precursor of Boolean algebra was Gottfried Wilhelm Leibniz's algebra of concepts. ![]() It is also used in set theory and statistics. īoolean algebra has been fundamental in the development of digital electronics, and is provided for in all modern programming languages. Īccording to Huntington, the term "Boolean algebra" was first suggested by Sheffer in 1913, although Charles Sanders Peirce gave the title "A Boolean Algebra with One Constant" to the first chapter of his "The Simplest Mathematics" in 1880. It is thus a formalism for describing logical operations, in the same way that elementary algebra describes numerical operations.īoolean algebra was 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). Instead of elementary algebra, where the values of the variables are numbers and the prime operations are addition and multiplication, the main operations of Boolean algebra are the conjunction ( and) denoted as ∧, the disjunction ( or) denoted as ∨, and the negation ( not) denoted as ¬. In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0, respectively. By understanding who your audience is, and grouping them into audience segments, you can personalize your messaging to increase engagement with your products & services.For other uses, see Boolean algebra (disambiguation). Users of Lotame’s Data Management Platform (DMP) use Boolean Logic to build audiences for targeted ads, content customization, and many other business applications. Translated into plain English, this definition would be read as “Users who are not between ages 13 and 17 who have an interest in movies. It is also worth noting that the “AND” operator is used here as well. In this instance, the “NOT” which prepends 13-17 means that no users within this age range will be included in this audience definition. As it applies to the creation of an audience definition, “NOT” will exclude all users falling under the node which has been prepended by “NOT.”įor example, to create an audience of users over the age of 18 (NOT 13-17 years of age) with a demonstrated interest in movies, the following audience definition would be used: The “NOT” Boolean operator is used to exclude nodes from an audience definition. An Example of Boolean Logic at Work In Building Audiences : NOT< The use of the “AND” operator means that a user must meet ALL of the specified criteria to be included in the audience users who merely like Fishing or like only Fishing and History (etc.) will be excluded from this audience definition. ![]() In the event that a client were building an audience and wanted to target only users who had shown an affinity for Sports Cars and Fishing and History, the following audience definition would apply: An Example of Boolean Logic at Work In Building Audiences : ANDĪs a Boolean operator, “AND” serves to indicate that ALL specified conditions must be met in order for a query to return true. ![]() Using the “OR” operator would ensure that anyone who has shown an affinity for at least one of these cuisines will be included in the audience created. The Boolean operator “OR” is used to express that as long as one of two or more conditions are, met the value of a specified query is true.įor example, to build an audience which encompasses anyone who enjoys Mexican, Chinese, or French Cuisine, the following audience definition would apply: This article explores the uses of individual Boolean operators and how they relate to building audiences.Īn Example of “NOT <“ Boolean Logic, IllustratedĪn Example of Boolean Logic at Work In Building Audiences : OR At the heart of Boolean Logic is the idea that all values are either true or false. Within the Lotame platform, the use of Boolean Logic allows for the creation of more complex audience definitions, allowing for audiences to be built to a very specific set of definitions. Last modified on MaWhat is Boolean Logic?īoolean Logic is a form of algebra which is centered around three simple words known as Boolean Operators: “Or,” “And,” and “Not”. ![]()
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