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Boolean algebra and List of Boolean algebra topics

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Boolean algebra and List of Boolean algebra topics

Boolean algebra vs. List of Boolean algebra topics

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. This is a list of topics around Boolean algebra and propositional logic.

Similarities between Boolean algebra and List of Boolean algebra topics

Boolean algebra and List of Boolean algebra topics have 32 things in common (in Unionpedia): Algebra of sets, Boolean algebra, Boolean algebra (structure), Boolean algebras canonically defined, Boolean differential calculus, Boolean function, Boolean prime ideal theorem, Boolean satisfiability problem, Charles Sanders Peirce, De Morgan's laws, Exclusive or, Field of sets, First-order logic, Formal system, George Boole, Heyting algebra, Indicator function, Logic gate, Logical conjunction, Logical connective, Logical consequence, Logical disjunction, Marshall Harvey Stone, Negation, Propositional calculus, Sheffer stroke, Stone's representation theorem for Boolean algebras, Truth table, Truth value, Two-element Boolean algebra, ..., Venn diagram, William Stanley Jevons. Expand index (2 more) »

Algebra of sets

The algebra of sets defines the properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion.

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Boolean algebra

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.

Boolean algebra and Boolean algebra · Boolean algebra and List of Boolean algebra topics · See more »

Boolean algebra (structure)

In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice.

Boolean algebra and Boolean algebra (structure) · Boolean algebra (structure) and List of Boolean algebra topics · See more »

Boolean algebras canonically defined

Boolean algebra is a mathematically rich branch of abstract algebra.

Boolean algebra and Boolean algebras canonically defined · Boolean algebras canonically defined and List of Boolean algebra topics · See more »

Boolean differential calculus

Boolean differential calculus (BDC) (German: Boolescher Differentialkalkül (BDK)) is a subject field of Boolean algebra discussing changes of Boolean variables and Boolean functions.

Boolean algebra and Boolean differential calculus · Boolean differential calculus and List of Boolean algebra topics · See more »

Boolean function

In mathematics and logic, a (finitary) Boolean function (or switching function) is a function of the form ƒ: Bk → B, where B.

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Boolean prime ideal theorem

In mathematics, a prime ideal theorem guarantees the existence of certain types of subsets in a given algebra.

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Boolean satisfiability problem

In computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated as SATISFIABILITY or SAT) is the problem of determining if there exists an interpretation that satisfies a given Boolean formula.

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Charles Sanders Peirce

Charles Sanders Peirce ("purse"; 10 September 1839 – 19 April 1914) was an American philosopher, logician, mathematician, and scientist who is sometimes known as "the father of pragmatism".

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De Morgan's laws

In propositional logic and boolean algebra, De Morgan's laws are a pair of transformation rules that are both valid rules of inference.

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Exclusive or

Exclusive or or exclusive disjunction is a logical operation that outputs true only when inputs differ (one is true, the other is false).

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Field of sets

In mathematics a field of sets is a pair \langle X, \mathcal \rangle where X is a set and \mathcal is an algebra over X i.e., a non-empty subset of the power set of X closed under the intersection and union of pairs of sets and under complements of individual sets.

Boolean algebra and Field of sets · Field of sets and List of Boolean algebra topics · See more »

First-order logic

First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.

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Formal system

A formal system is the name of a logic system usually defined in the mathematical way.

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George Boole

George Boole (2 November 1815 – 8 December 1864) was a largely self-taught English mathematician, philosopher and logician, most of whose short career was spent as the first professor of mathematics at Queen's College, Cork in Ireland.

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Heyting algebra

In mathematics, a Heyting algebra is a bounded lattice (with join and meet operations written ∨ and ∧ and with least element 0 and greatest element 1) equipped with a binary operation a → b of implication such that c ∧ a ≤ b is equivalent to c ≤ a → b. From a logical standpoint, A → B is by this definition the weakest proposition for which modus ponens, the inference rule A → B, A ⊢ B, is sound.

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Indicator function

In mathematics, an indicator function or a characteristic function is a function defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or blackboard boldface, with a subscript specifying the subset.

Boolean algebra and Indicator function · Indicator function and List of Boolean algebra topics · See more »

Logic gate

In electronics, a logic gate is an idealized or physical device implementing a Boolean function; that is, it performs a logical operation on one or more binary inputs and produces a single binary output.

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Logical conjunction

In logic, mathematics and linguistics, And (∧) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true.

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Logical connective

In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is a symbol or word used to connect two or more sentences (of either a formal or a natural language) in a grammatically valid way, such that the value of the compound sentence produced depends only on that of the original sentences and on the meaning of the connective.

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Logical consequence

Logical consequence (also entailment) is a fundamental concept in logic, which describes the relationship between statements that hold true when one statement logically follows from one or more statements.

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Logical disjunction

In logic and mathematics, or is the truth-functional operator of (inclusive) disjunction, also known as alternation; the or of a set of operands is true if and only if one or more of its operands is true.

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Marshall Harvey Stone

Marshall Harvey Stone (April 8, 1903 – January 9, 1989) was an American mathematician who contributed to real analysis, functional analysis, topology and the study of Boolean algebras.

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Negation

In logic, negation, also called the logical complement, is an operation that takes a proposition P to another proposition "not P", written \neg P (¬P), which is interpreted intuitively as being true when P is false, and false when P is true.

Boolean algebra and Negation · List of Boolean algebra topics and Negation · See more »

Propositional calculus

Propositional calculus is a branch of logic.

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Sheffer stroke

In Boolean functions and propositional calculus, the Sheffer stroke, named after Henry M. Sheffer, written ↑, also written | (not to be confused with "||", which is often used to represent disjunction), or Dpq (in Bocheński notation), denotes a logical operation that is equivalent to the negation of the conjunction operation, expressed in ordinary language as "not both".

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Stone's representation theorem for Boolean algebras

In mathematics, Stone's representation theorem for Boolean algebras states that every Boolean algebra is isomorphic to a certain field of sets.

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Truth table

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables (Enderton, 2001).

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Truth value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth.

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Two-element Boolean algebra

In mathematics and abstract algebra, the two-element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier) B is the Boolean domain.

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Venn diagram

A Venn diagram (also called primary diagram, set diagram or logic diagram) is a diagram that shows all possible logical relations between a finite collection of different sets.

Boolean algebra and Venn diagram · List of Boolean algebra topics and Venn diagram · See more »

William Stanley Jevons

William Stanley Jevons FRS (1 September 1835 – 13 August 1882) was an English economist and logician.

Boolean algebra and William Stanley Jevons · List of Boolean algebra topics and William Stanley Jevons · See more »

The list above answers the following questions

Boolean algebra and List of Boolean algebra topics Comparison

Boolean algebra has 159 relations, while List of Boolean algebra topics has 79. As they have in common 32, the Jaccard index is 13.45% = 32 / (159 + 79).

References

This article shows the relationship between Boolean algebra and List of Boolean algebra topics. To access each article from which the information was extracted, please visit:

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