About: Vector logic

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Vector logic is an algebraic model of elementary logic based on matrix algebra. Vector logic assumes that the truth values map on vectors, and that the monadic and dyadic operations are executed by matrix operators. "Vector logic" has also been used to refer to the representation of classical propositional logic as a vector space, in which the unit vectors are propositional variables. Predicate logic can be represented as a vector space of the same type in which the axes represent the predicate letters and . In the vector space for propositional logic the origin represents the false, F, and the infinite periphery represents the true, T, whereas in the space for predicate logic the origin represents "nothing" and the periphery represents the flight from nothing, or "something".

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rdf:type	person
rdfs:label	Lógica vetorial (pt) Vector logic (en) 向量邏輯 (zh)
rdfs:comment	Vector logic is an algebraic model of elementary logic based on matrix algebra. Vector logic assumes that the truth values map on vectors, and that the monadic and dyadic operations are executed by matrix operators. "Vector logic" has also been used to refer to the representation of classical propositional logic as a vector space, in which the unit vectors are propositional variables. Predicate logic can be represented as a vector space of the same type in which the axes represent the predicate letters and . In the vector space for propositional logic the origin represents the false, F, and the infinite periphery represents the true, T, whereas in the space for predicate logic the origin represents "nothing" and the periphery represents the flight from nothing, or "something". (en) Lógica Vetorial é um modelo algébrico da lógica elementar baseado em matrizes algébricas. A lógica vetorial assume que os valores verdade mapeiam em vetores, e que as operações monádicas e diádicas são executadas por operadores matriciais. (pt) 向量邏輯是一種建基於矩陣代數的邏輯模型。它假設邏輯真值可成為一種向量，而一元和二元謂詞演算皆以矩陣的算法進行。 (zh)
dcterms:subject	Logic Boolean algebra
Wikipage page ID	39457694 (xsd:integer)
Wikipage revision ID	1118577789 (xsd:integer)
Link from a Wikipage to another Wikipage	Predicate logic Propositional calculus Quantum logic Elementary cellular automaton Monadic predicate calculus Neural network Sheffer stroke De Morgan's Laws Logic Vector (mathematics and physics) Vector space ∧ ∨ Indian logic Jaina seven-valued logic Quantum computing Quantum physics Column vector Complex numbers Matrix (mathematics) George Boole Contraposition (traditional logic) Linear algebra Logic Logical NOR Logical implication Computer science Frobenius inner product Identity matrix Many-valued logic Truth table Truth value Fuzzy logic Jonathan Westphal Logical matrix A priori and a posteriori Algebra Algebraic logic Euclidean norm Exclusive or False (logic) Tree structure Logical equivalence Boolean algebra Involution (mathematics) Irving Copi Jan Łukasiewicz Charles Sanders Peirce Binary function Artificial neuron Boolean algebra Fredkin gate Identity function Indian people Kronecker product Real number Mathematical model Optics Propositional variable Probabilistic logic Scalar product Classical propositional logic G.N. Ramachandran Peirce arrow Differential and integral calculus Logical negation True (logic)
sameAs	Vector logic Vector logic Vector logic Vector logic Vector logic
dbp:wikiPageUsesTemplate	dbt:Ordered_list dbt:Reflist
has abstract	Vector logic is an algebraic model of elementary logic based on matrix algebra. Vector logic assumes that the truth values map on vectors, and that the monadic and dyadic operations are executed by matrix operators. "Vector logic" has also been used to refer to the representation of classical propositional logic as a vector space, in which the unit vectors are propositional variables. Predicate logic can be represented as a vector space of the same type in which the axes represent the predicate letters and . In the vector space for propositional logic the origin represents the false, F, and the infinite periphery represents the true, T, whereas in the space for predicate logic the origin represents "nothing" and the periphery represents the flight from nothing, or "something". (en) Lógica Vetorial é um modelo algébrico da lógica elementar baseado em matrizes algébricas. A lógica vetorial assume que os valores verdade mapeiam em vetores, e que as operações monádicas e diádicas são executadas por operadores matriciais. (pt) 向量邏輯是一種建基於矩陣代數的邏輯模型。它假設邏輯真值可成為一種向量，而一元和二元謂詞演算皆以矩陣的算法進行。 (zh)
gold:hypernym	Model
prov:wasDerivedFrom	wikipedia-en:Vector_logic?oldid=1118577789&ns=0
page length (characters) of wiki page	20603 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Vector_logic
is Link from a Wikipage to another Wikipage of	Quantum logic George Boole Fuzzy logic Boolean algebra
is notable ideas of	George Boole
is notableIdea of	George Boole
is foaf:primaryTopic of	wikipedia-en:Vector_logic

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