Faster access than browser!
61 relations: Affirming a disjunct, Arity, Associative property, Bit field, Bitwise operation, Boolean algebra, Boolean domain, Boolean function, Boolean-valued function, Commutative property, Complement (set theory), Constructivism (mathematics), Control flow, Curry–Howard correspondence, De Morgan's laws, Disjunction elimination, Disjunction introduction, Disjunctive syllogism, Distributive property, Element (mathematics), Exclusive or, Existential quantification, First-order logic, Fréchet inequalities, George Boole, Idempotence, Identity element, If and only if, Intersection (set theory), Jan Łukasiewicz, JavaScript, Józef Maria Bocheński, List of Boolean algebra topics, Literal (mathematical logic), Logic, Logical conjunction, Logical connective, Logical graph, Mathematical logic, Mathematics, Meaning (linguistics), Monotonic function, Natural language, Negation, Operation (mathematics), Operator (computer programming), OR gate, Programming language, Proposition, Propositional calculus, ..., Python (programming language), Sequence point, Set theory, Short-circuit evaluation, Tagged union, Truth function, Truth table, Truth value, Union (set theory), Vacuous truth, William Stanley Jevons. Expand index (11 more) »
Affirming a disjunct
The formal fallacy of affirming a disjunct also known as the fallacy of the alternative disjunct or a false exclusionary disjunct occurs when a deductive argument takes the following logical form: Or in logical operators: Where \vdash denotes a logical assertion.
New!!: Logical disjunction and Affirming a disjunct · See more »
Arity
In logic, mathematics, and computer science, the arity of a function or operation is the number of arguments or operands that the function takes.
New!!: Logical disjunction and Arity · See more »
Associative property
In mathematics, the associative property is a property of some binary operations.
New!!: Logical disjunction and Associative property · See more »
Bit field
A bit field is a data structure used in computer programming.
New!!: Logical disjunction and Bit field · See more »
Bitwise operation
In digital computer programming, a bitwise operation operates on one or more bit patterns or binary numerals at the level of their individual bits.
New!!: Logical disjunction and Bitwise operation · See more »
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.
New!!: Logical disjunction and Boolean algebra · See more »
Boolean domain
In mathematics and abstract algebra, a Boolean domain is a set consisting of exactly two elements whose interpretations include false and true.
New!!: Logical disjunction and Boolean domain · 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.
New!!: Logical disjunction and Boolean function · See more »
Boolean-valued function
A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f: X → B, where X is an arbitrary set and where B is a Boolean domain, i.e. a generic two-element set, (for example B.
New!!: Logical disjunction and Boolean-valued function · See more »
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
New!!: Logical disjunction and Commutative property · See more »
Complement (set theory)
In set theory, the complement of a set refers to elements not in.
New!!: Logical disjunction and Complement (set theory) · See more »
Constructivism (mathematics)
In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a mathematical object to prove that it exists.
New!!: Logical disjunction and Constructivism (mathematics) · See more »
Control flow
In computer science, control flow (or flow of control) is the order in which individual statements, instructions or function calls of an imperative program are executed or evaluated.
New!!: Logical disjunction and Control flow · See more »
Curry–Howard correspondence
In programming language theory and proof theory, the Curry–Howard correspondence (also known as the Curry–Howard isomorphism or equivalence, or the proofs-as-programs and propositions- or formulae-as-types interpretation) is the direct relationship between computer programs and mathematical proofs.
New!!: Logical disjunction and Curry–Howard correspondence · See more »
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.
New!!: Logical disjunction and De Morgan's laws · See more »
Disjunction elimination
In propositional logic, disjunction elimination (sometimes named proof by cases, case analysis, or or elimination), is the valid argument form and rule of inference that allows one to eliminate a disjunctive statement from a logical proof.
New!!: Logical disjunction and Disjunction elimination · See more »
Disjunction introduction
Disjunction introduction or addition (also called or introduction) is a rule of inference of propositional logic and almost every other deduction system.
New!!: Logical disjunction and Disjunction introduction · See more »
Disjunctive syllogism
In classical logic, disjunctive syllogism (historically known as modus tollendo ponens (MTP), Latin for "mode that affirms by denying") is a valid argument form which is a syllogism having a disjunctive statement for one of its premises.
New!!: Logical disjunction and Disjunctive syllogism · See more »
Distributive property
In abstract algebra and formal logic, the distributive property of binary operations generalizes the distributive law from boolean algebra and elementary algebra.
New!!: Logical disjunction and Distributive property · See more »
Element (mathematics)
In mathematics, an element, or member, of a set is any one of the distinct objects that make up that set.
New!!: Logical disjunction and Element (mathematics) · See more »
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).
New!!: Logical disjunction and Exclusive or · See more »
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".
New!!: Logical disjunction and Existential quantification · 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.
New!!: Logical disjunction and First-order logic · See more »
Fréchet inequalities
In probabilistic logic, the Fréchet inequalities, also known as the Boole–Fréchet inequalities, are rules implicit in the work of George BooleBoole, G. (1854).
New!!: Logical disjunction and Fréchet inequalities · See more »
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.
New!!: Logical disjunction and George Boole · See more »
Idempotence
Idempotence is the property of certain operations in mathematics and computer science that they can be applied multiple times without changing the result beyond the initial application.
New!!: Logical disjunction and Idempotence · See more »
Identity element
In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.
New!!: Logical disjunction and Identity element · See more »
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.
New!!: Logical disjunction and If and only if · See more »
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.
New!!: Logical disjunction and Intersection (set theory) · See more »
Jan Łukasiewicz
Jan Łukasiewicz (21 December 1878 – 13 February 1956) was a Polish logician and philosopher born in Lwów, a city in the Galician kingdom of Austria-Hungary.
New!!: Logical disjunction and Jan Łukasiewicz · See more »
JavaScript
JavaScript, often abbreviated as JS, is a high-level, interpreted programming language.
New!!: Logical disjunction and JavaScript · See more »
Józef Maria Bocheński
Józef Maria Bocheński (Czuszów, Congress Poland, Russian Empire, 30 August 1902 – 8 February 1995, Fribourg, Switzerland) was a Polish Dominican, logician and philosopher.
New!!: Logical disjunction and Józef Maria Bocheński · See more »
List of Boolean algebra topics
This is a list of topics around Boolean algebra and propositional logic.
New!!: Logical disjunction and List of Boolean algebra topics · See more »
Literal (mathematical logic)
In mathematical logic, a literal is an atomic formula (atom) or its negation.
New!!: Logical disjunction and Literal (mathematical logic) · See more »
Logic
Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.
New!!: Logical disjunction and Logic · See more »
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.
New!!: Logical disjunction and Logical conjunction · See more »
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.
New!!: Logical disjunction and Logical connective · See more »
Logical graph
A logical graph is a special type of diagramatic structure in any one of several systems of graphical syntax that Charles Sanders Peirce developed for logic.
New!!: Logical disjunction and Logical graph · See more »
Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
New!!: Logical disjunction and Mathematical logic · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Logical disjunction and Mathematics · See more »
Meaning (linguistics)
In linguistics, meaning is the information or concepts that a sender intends to convey, or does convey, in communication with a receiver.
New!!: Logical disjunction and Meaning (linguistics) · See more »
Monotonic function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order.
New!!: Logical disjunction and Monotonic function · See more »
Natural language
In neuropsychology, linguistics, and the philosophy of language, a natural language or ordinary language is any language that has evolved naturally in humans through use and repetition without conscious planning or premeditation.
New!!: Logical disjunction and Natural language · See more »
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.
New!!: Logical disjunction and Negation · See more »
Operation (mathematics)
In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.
New!!: Logical disjunction and Operation (mathematics) · See more »
Operator (computer programming)
Programming languages typically support a set of operators: constructs which behave generally like functions, but which differ syntactically or semantically from usual functions.
New!!: Logical disjunction and Operator (computer programming) · See more »
OR gate
The OR gate is a digital logic gate that implements logical disjunctionit behaves according to the truth table to the right.
New!!: Logical disjunction and OR gate · See more »
Programming language
A programming language is a formal language that specifies a set of instructions that can be used to produce various kinds of output.
New!!: Logical disjunction and Programming language · See more »
Proposition
The term proposition has a broad use in contemporary analytic philosophy.
New!!: Logical disjunction and Proposition · See more »
Propositional calculus
Propositional calculus is a branch of logic.
New!!: Logical disjunction and Propositional calculus · See more »
Python (programming language)
Python is an interpreted high-level programming language for general-purpose programming.
New!!: Logical disjunction and Python (programming language) · See more »
Sequence point
A sequence point defines any point in a computer program's execution at which it is guaranteed that all side effects of previous evaluations will have been performed, and no side effects from subsequent evaluations have yet been performed.
New!!: Logical disjunction and Sequence point · See more »
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
New!!: Logical disjunction and Set theory · See more »
Short-circuit evaluation
Short-circuit evaluation, minimal evaluation, or McCarthy evaluation (after John McCarthy) is the semantics of some Boolean operators in some programming languages in which the second argument is executed or evaluated only if the first argument does not suffice to determine the value of the expression: when the first argument of the AND function evaluates to false, the overall value must be false; and when the first argument of the OR function evaluates to true, the overall value must be true.
New!!: Logical disjunction and Short-circuit evaluation · See more »
Tagged union
In computer science, a tagged union, also called a variant, variant record, choice type, discriminated union, disjoint union, or sum type, is a data structure used to hold a value that could take on several different, but fixed, types.
New!!: Logical disjunction and Tagged union · See more »
Truth function
In logic, a truth function is a function that accepts truth values as input and produces a truth value as output, i.e., the input and output are all truth values.
New!!: Logical disjunction and Truth function · See more »
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).
New!!: Logical disjunction and Truth table · See more »
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.
New!!: Logical disjunction and Truth value · See more »
Union (set theory)
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.
New!!: Logical disjunction and Union (set theory) · See more »
Vacuous truth
In mathematics and logic, a vacuous truth is a statement that asserts that all members of the empty set have a certain property.
New!!: Logical disjunction and Vacuous truth · See more »
William Stanley Jevons
William Stanley Jevons FRS (1 September 1835 – 13 August 1882) was an English economist and logician.
New!!: Logical disjunction and William Stanley Jevons · See more »
Redirects here:
Boolean OR, Disjunction, Disjunction (logic), Inclusive disjunction, Inclusive or, Logical OR, Logical or, Logical sum, Non-exclusive disjunction, Nonexclusive disjunction, Or (logic), Or operator, Or symbol, ⋁, ⟇, ⟏.
References
[1] https://en.wikipedia.org/wiki/Logical_disjunction
