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De Morgan's laws and Logical disjunction

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

Difference between De Morgan's laws and Logical disjunction

De Morgan's laws vs. Logical disjunction

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

Similarities between De Morgan's laws and Logical disjunction

De Morgan's laws and Logical disjunction have 11 things in common (in Unionpedia): Boolean algebra, Complement (set theory), Existential quantification, George Boole, If and only if, Intersection (set theory), List of Boolean algebra topics, Logical conjunction, Negation, Propositional calculus, Union (set theory).

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.

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Complement (set theory)

In set theory, the complement of a set refers to elements not in.

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Existential quantification

In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least one", or "for some".

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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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If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

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Intersection (set theory)

In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.

De Morgan's laws and Intersection (set theory) · Intersection (set theory) and Logical disjunction · See more »

List of Boolean algebra topics

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

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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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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.

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Propositional calculus

Propositional calculus is a branch of logic.

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Union (set theory)

In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.

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The list above answers the following questions

De Morgan's laws and Logical disjunction Comparison

De Morgan's laws has 46 relations, while Logical disjunction has 61. As they have in common 11, the Jaccard index is 10.28% = 11 / (46 + 61).

References

This article shows the relationship between De Morgan's laws and Logical disjunction. To access each article from which the information was extracted, please visit:

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