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Topics referred to by the same term
Logical equivalent may refer to: Logical equivalence, in logic and mathematics Logical equality, the logical operator in propositional calculus XNOR gate
Logical_equivalent
Statement that is true regardless of the truth or falsity of its constituent propositions
to be true. The view that logical statements are necessarily true is sometimes treated as equivalent to saying that logical truths are true in all possible
Logical_truth
Operations transforming individual bits of integral data types
bitwise operators have equivalent logical operators. They are equivalent in that they have the same truth tables. However, logical operators treat each
Bitwise_operations_in_C
Symbol connecting formulas in logic
In logic, a logical connective (also called a logical operator, sentential connective, or sentential operator) is an operator that combines or modifies
Logical_connective
In logic, a statement which is always true
interpretation of its component terms, with only the logical constants having a fixed meaning. It is a logical truth. For example, a formula that states "the
Tautology_(logic)
Binary operation that is true if and only if both operands are false
∨ B {\displaystyle A\lor B} is equivalent to ¬ ( ¬ A ∧ ¬ B ) {\displaystyle \neg (\neg A\land \neg B)} , the logical NOR suffices to define the set of
Logical_NOR
Type of digital logic implemented by Boolean circuits
systems may require consideration of the finite time required for practical logical elements to react to changes in their inputs. Where an output is the result
Combinational_logic
Concept in logic
{\displaystyle q} are said to be logically equivalent if they have the same truth value in every model. The logical equivalence of p {\displaystyle p} and
Logical_equivalence
Computer science topic
bitwise NOT, or bitwise complement, is a unary operation that performs logical negation on each bit, forming the ones' complement of the given binary
Bitwise_operation
Logical connective
follows: It is equivalent to that produced by the XNOR gate, and opposite to that produced by the XOR gate. The corresponding logical symbols are " ↔
If_and_only_if
Mathematical table used in logic
functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables. In
Truth_table
Logical operation
In logic, negation, also called the logical not or logical complement, is an operation that takes a proposition P {\displaystyle P} to another proposition
Negation
If and only if relation
In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or bidirectional implication or biimplication
Logical_biconditional
True when either but not both inputs are true
disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs
Exclusive_or
Logic founded on unproven premises
the original point is placed under the guise of a semantic equivalent, or a logical equivalent, or a covering universal, or divided up into exhaustive parts
Begging_the_question
Ethical formula
happened along the timeline.[citation needed] By the contrapositive, the logical equivalent of "ought implies can" is the formula ◻ ¬ A → ¬ O A {\displaystyle
Ought_implies_can
1943 paper proposing artificial neural networks
and have shown them to be equivalent, that is, neural networks under one definition realizes precisely the same logical sentences as neural networks
A Logical Calculus of the Ideas Immanent in Nervous Activity
A_Logical_Calculus_of_the_Ideas_Immanent_in_Nervous_Activity
Logical connective AND
\wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle
Logical_conjunction
defined. C and C++ have the same logical operators and all can be overloaded in C++. Note that overloading logical AND and OR is discouraged, because
Operators_in_C_and_C++
Process of drawing correct inferences
context of the argument. Some theorists understand logical reasoning in a wide sense that is roughly equivalent to critical thinking. In this regard, it encompasses
Logical_reasoning
Logical connective OR
logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as
Logical_disjunction
Relationship where one statement follows from another
Logical consequence (also entailment or logical implication) is a fundamental concept in logic which describes the relationship between statements that
Logical_consequence
Method of deriving conclusions
two expressions are equivalent and can be freely swapped. They contrast with formal fallacies—invalid argument forms involving logical errors. Logicians
Rule_of_inference
Business data structure
optimizing performances while allowing the end user to have the logical equivalent of the "picture of the moment" they are interested in. Kimball’s dimensional
Fact_table
Topics referred to by the same term
homomorphism from a group to a field Characterization (mathematics), the logical equivalency between objects of two different domains. Character theory, the mathematical
Character
Logic puzzle by Raymond Smullyan
One strategy is to use complicated logical connectives in your questions (either biconditionals or some equivalent construction). Boolos' question was
The_Hardest_Logic_Puzzle_Ever
List of symbols used to express logical relations
suggested set of logical symbols Logic gate § Symbols Logical connective Mathematical operators and symbols in Unicode Non-logical symbol Polish notation
List_of_logic_symbols
Logical relations are a proof method employed in programming language semantics to show that two denotational semantics are equivalent. To describe the
Logical_relations
Device performing a Boolean function
A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output
Logic_gate
Type of logical system
theorem must be equivalent to first-order logic. A logical system satisfying Lindström's definition that has a semidecidable logical consequence relation
First-order_logic
Sequence of network packets from a source computer to a destination
broadcast domain. RFC 2722 defines traffic flow as "an artificial logical equivalent to a call or connection." RFC 3697 defines traffic flow as "a sequence
Traffic flow (computer networking)
Traffic_flow_(computer_networking)
Logical operator in propositional calculus
that the logical operation signified by "+" is not the same as the inclusive disjunction signified by "∨" but is actually equivalent to the logical inequality
Logical_equality
Logical operation
and propositional calculus, the Sheffer stroke denotes a logical operation that is equivalent to the negation of the conjunction operation, expressed in
Sheffer_stroke
Constructed human language based on predicate logic
Lojban (pronounced [ˈloʒban] ) is a logical, constructed human language created by the Logical Language Group, which aims to be syntactically unambiguous
Lojban
Technique used to estimate delay in a CMOS circuit
The method of logical effort, a term coined by Ivan Sutherland and Bob Sproull in 1991, is a straightforward technique used to estimate delay in a CMOS
Logical_effort
Possessing negative truth value
The negation of false is equivalent to the truth not only in classical logic and Boolean logic, but also in most other logical systems, as explained below
False_(logic)
Subfield of mathematics
'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid
Mathematical_logic
Denoting phrase in the form of "the X"
is not the case that the present King of France is bald", or its logical equivalent, "The present King of France is not bald", is true. But this sentence
Definite_description
Topics referred to by the same term
Logical equivalence, where two statements are logically equivalent if they have the same logical content Material equivalence, a relationship where the
Equivalence
Study of correct reasoning
informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure
Logic
Type of logic diagram
the subject. Every categorical proposition can be reduced to one of four logical forms, named A, E, I, and O based on the Latin affirmo (I affirm), for
Square_of_opposition
Mathematical use of "for all"
quantification this requires a logical conditional. For example, For all composite numbers n, one has 2·n > 2 + n is logically equivalent to For all natural numbers
Universal_quantification
Algebraic manipulation of "true" and "false"
the values of the variables are numbers. Second, Boolean algebra uses logical operators such as conjunction (and) denoted as ∧, disjunction (or) denoted
Boolean_algebra
American journalist (born 1967)
believe that Der Stürmer-like anti-Semitic cartoons are the moral and logical equivalent of making fun of Moses or Muhammed". In a November 2018 Guardian article
Glenn_Greenwald
Subset of computer's virtualised hardware resources
A logical partition (LPAR) is a subset of a computer's hardware resources, virtualized as a separate computer. In effect, a physical machine can be partitioned
Logical_partition
Bearer of truth values
Russell. Propositions are relevant to many fields. Logicians examine their logical form and inferential patterns as the premises and conclusions of arguments
Proposition
Digital logic gate
logic gate whose function is the logical complement of the exclusive OR (XOR) gate. It is equivalent to the logical connective ( ↔ {\displaystyle \leftrightarrow
XNOR_gate
1921 philosophical work by Ludwig Wittgenstein
idea that logical inferences are justified by rules. If an argument form is valid, the conjunction of the premises will be logically equivalent to the conclusion
Tractatus Logico-Philosophicus
Tractatus_Logico-Philosophicus
3-volume treatise on mathematics, 1910–1913
resulting their matrix) is logically equivalent to some f evaluated at those same values of x. (and vice versa, hence logical equivalence)". In other words:
Principia_Mathematica
Value indicating the relation of a proposition to truth
In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical
Truth_value
Concept in mathematical logic
In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining
Functional_completeness
Logically self-contradictory statement
paradox, cannot be easily resolved by making foundational changes in a logical system. Examples outside logic include the ship of Theseus, a paradox that
Paradox
Mathematical proposition equivalent to the axiom of choice
ideal and that every field has an algebraic closure. Zorn's lemma is equivalent to the well-ordering theorem and also to the axiom of choice, in the sense
Zorn's_lemma
Mathematical logic concept
said to be contraposed to the original and is logically equivalent to it. Due to their logical equivalence, stating one effectively states the other; when
Contraposition
Mathematical symbol of equality
geometric figures. Equality of truth values (through bi-implication or logical equivalence), may be denoted by various symbols including =, ~, and ⇔.
Equals_sign
Logical connective
can be semantically established by the method of analytic tableaux. The logical rules are The semantic definition by truth tables does not permit the examination
Material_conditional
Measure of circuit complexity
comprises many different logic gates, for example a NAND gate. For each logical type of logic gate, e.g., a two-input NAND, there usually exist different
Gate_equivalent
Ontology applicable across domains of knowledge
"interlingua" that can translate ideas in one terminology to its logical equivalent in another terminology. Advocates[who?] argue that most disagreement
Upper_ontology
Philanthropy conception of meaning
psychological theories, involving notions of thought, intention, or understanding; logical theories, involving notions such as intension, cognitive content, or sense
Meaning_(philosophy)
Inference rule that may be applied to only a particular segment of an expression
whole logical expression, a rule of replacement may be applied to only a particular segment. Within the context of a logical proof, logically equivalent expressions
Rule_of_replacement
transportation stretches are mapped as parallel intervals, which are logical equivalent but have their own different data acquisition points. If a flow item
Counting_point
Type of diagrammatic notation for propositional logic
graphs may be True or False; To enclose a subgraph with a cut is equivalent to logical negation or Boolean complementation. Hence an empty cut denotes
Existential_graph
Computer based test held in India
sections: Verbal Ability and Reading Comprehension, Data Interpretation and Logical Reasoning, and Quantitative Ability. The exam was taken online over a period
Common_Admission_Test
Data having only values "true" or "false"
condition evaluates to true or false. It is a special case of a more general logical data type—logic does not always need to be Boolean (see probabilistic logic)
Boolean_data_type
Logical connective
logic, converse nonimplication is a logical connective which is the negation of converse implication (equivalently, the negation of the converse of implication)
Converse_nonimplication
Pair of logical equivalences
negation normal forms: any formula is equivalent to another formula where negations only occur applied to the non-logical atoms of the formula. The existence
De_Morgan's_laws
Mathematical use of "for all" and "there exists"
formula ∀ x ∈ D P ( x ) {\displaystyle \forall x\in D\;P(x)} is equivalent to the logical conjunction P ( a 1 ) ∧ . . . ∧ P ( a n ) {\displaystyle P(a_{1})\land
Quantifier_(logic)
Axiomatization of arithmetic
( n ) := ¬ ( n ∈ B ) {\displaystyle \phi (n):=\neg (n\in B)} , a logical equivalent to induction is ¬ ∃ ( n ∈ B ) . ¬ ∃ ( k ∈ B ) . k < n ↔ B = { } {\displaystyle
Heyting_arithmetic
Diagram that shows all possible logical relations between a collection of sets
A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams
Venn_diagram
Study of the semantics, or interpretations, of formal and natural languages
validity, and logical consequence. While logical syntax concerns the formal rules for constructing well-formed expressions, logical semantics establishes
Semantics_(logic)
Assignment of meaning to the symbols of a formal language
hand, an interpretation does not have anything to say about logical symbols, e.g. logical connectives " a n d {\displaystyle \mathrm {and} } ", " o r
Interpretation_(logic)
Type of logical argument that applies deductive reasoning
Greek: συλλογισμός, syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based
Syllogism
Properties linking logical conjunction and disjunction
used for semantic consequence and ⟚ for semantical equivalence between logical formulas, then it is demonstrable that φ D {\displaystyle \varphi ^{D}}
Conjunction/disjunction duality
Conjunction/disjunction_duality
Fundamental theorem in mathematical logic
formal deduction. The theorem can be expressed more generally in terms of logical consequence. We say that a sentence s is a syntactic consequence of a theory
Gödel's_completeness_theorem
Symbol representing the word "and" (&)
used as a substitute for &, particularly in handwriting and in prose. The logical conjunction symbol, ∧, is often pronounced "and", but is not related to
Ampersand
Concept in mathematical logic
All S are P. Philosophy portal Aristotle Contraposition Inverse (logic) Logical connective Obversion Term logic Transposition (logic) Robert Audi, ed.
Converse_(logic)
South African legal case
possible to cure the defect by way of notional severance. The only logical equivalent of severance, the court determined, is "reading in," which can be
National Coalition for Gay and Lesbian Equality v Minister of Home Affairs
National_Coalition_for_Gay_and_Lesbian_Equality_v_Minister_of_Home_Affairs
Typographic symbol
outside string literals, is equivalent to the | character. In regular expression syntax, the vertical bar again indicates logical or (alternation). For example:
Vertical_bar
Function returning one of only two values
formulas are logically equivalent if and only if they express the same Boolean function. The rudimentary symmetric Boolean functions (logical connectives or logic
Boolean_function
Shift operator in computer programming
General, and ANSI make such incorrect statements[page needed]. Logical right shifts are equivalent to division by a power of the radix (usually 2) only for
Arithmetic_shift
considered to have the same meaning and can be marked as semantically equivalent. Logical equivalence Metadata Vocabulary-based transformation Web Ontology
Semantic_equivalence
Impossible task in computing
that since the halting problem for each Turing machine is equivalent to a first-order logical formula of form ∀ ∃ ∀ ∃ 6 {\displaystyle \forall \exists
Entscheidungsproblem
Whether a decision problem has an effective method to derive the answer
decidable if there exists an effective method for deriving the correct answer. Logical systems are decidable if membership in their set of logically valid formulas
Decidability_(logic)
Collection of mathematical objects
foundational logical question, because of the difficulty of conceiving an infinite instantaneous action. However, there are several equivalent formulations
Set_(mathematics)
Concept in mathematical logic
and converse are logically equivalent to each other. For example, substituting propositions in natural language for logical variables, the inverse of the
Inverse_(logic)
Control flow construct for executing code repeatedly
indeterminate loop) is a loop that determines whether to terminate based on a logical condition. These loops are flexible, but their exact behavior can be difficult
Loop_(statement)
Aspect of a computer disk file system
to 0x01 (FAT12), 0x04 (FAT16), 0x0C (FAT32 with logical block addressing), and 0x0E (FAT16 with logical block addressing) types as well. A basic data partition
Microsoft basic data partition
Microsoft_basic_data_partition
Set of sentences in a formal language
statements are taken as axioms. In a deductive theory, any sentence that is a logical consequence of one or more of the axioms is also a sentence of that theory
Theory_(mathematical_logic)
Non-contradiction of a theory
In deductive logic, a consistent theory is one that does not lead to a logical contradiction. A theory T {\displaystyle T} is consistent if there is no
Consistency
Branch of logic
on them. Compound propositions are formed by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction
Propositional_logic
Propositional logic theorem
this can be expressed by the formula A ≡ ~(~A) where the sign ≡ expresses logical equivalence and the sign ~ expresses negation. Like the law of the excluded
Double_negation
Theory that logical truth exists independent of human ideas
anti-psychologism (sometimes associated with logical objectivism and, in stronger forms, with logical realism) is the theory that logical truth does not depend upon the
Anti-psychologism
Analysis of facts to form a judgment
on logical procedures such as formal and informal logic.[citation needed] This emphasized to students that good thinking is equivalent to logical thinking
Critical_thinking
System of formal mathematical logic
which states that there are infinitely many individuals, along with equivalent alternative axioms of infinity. Unlike many other formulations of type
Q0_(mathematical_logic)
Binary operator in computer programming
JavaScript, there is no need for the Elvis operator, because the language's logical disjunction operator (typically || or or) is short-circuiting and returns
Elvis_operator
Standard system of axiomatic set theory
been extensively studied. Landmark results in this area established the logical independence of the axiom of choice from the remaining Zermelo-Fraenkel
Zermelo–Fraenkel_set_theory
Limitative results in mathematical logic
natural numbers that are true, but that are unprovable within the system. Equivalently, there will always be statements about natural numbers that are false
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Logical connective
{\displaystyle P} is true and Q {\displaystyle Q} is false. It may be written using logical notation as P ↛ Q {\displaystyle P\nrightarrow Q} , P ⊅ Q {\displaystyle
Material_nonimplication
Ludwig Wittgenstein (Tractatus Logico-Philosophicus), the Vienna Circle, logical positivists, and Willard Van Orman Quine. In the West, inquiry into language
Philosophy_of_language
Computation model defining an abstract machine
falsity of a given purely logical assertion ... — Gandy quoting Behmann Behmann remarks that ... the general problem is equivalent to the problem of deciding
Turing_machine
LOGICAL EQUIVALENT
LOGICAL EQUIVALENT
Girl/Female
Indian
Successful; Logical Thinkers
Girl/Female
African, Arabic, French, Indian, Muslim, Swahili, Tamil
Intelligent; Logical; Intelligent One who Reasons; Wise
Boy/Male
Tamil
Love and kindness, Analytical, Logical
Boy/Male
German, Swedish
Elf; Magical Army; Warrior
Girl/Female
Indian, Tamil
King Rama's Wife
Girl/Female
Hindu
Boy/Male
Indian
Intelligent, Logical
Boy/Male
Hindu, Indian
Logical
Boy/Male
Gujarati, Hindu, Indian, Sanskrit
Logical Science
Boy/Male
Indian, Sanskrit
Logician
Boy/Male
Tamil
Intelligent, Logical
Boy/Male
Hindu
Love and kindness, Analytical, Logical
Girl/Female
Danish, Hindu, Indian, Japanese
Ray of Light; Logical
Girl/Female
Native American
Magical dancer.
Girl/Female
Tamil
Give light to others
Boy/Male
Indian, Sanskrit
Endowed with Mind; Logical
Girl/Female
Hindu, Indian
Give Light to Others
Boy/Male
Hindu, Indian
A Magical Sword
Girl/Female
Australian, French, Swedish
Elf; Magical Counsel
Girl/Female
Indian, Modern, Sanskrit
Magical
LOGICAL EQUIVALENT
LOGICAL EQUIVALENT
Girl/Female
Spanish
Holy.
Boy/Male
Muslim/Islamic
The king
Boy/Male
Tamil
Laughing smileing
Boy/Male
Irish
Slender.
Girl/Female
Indian, Punjabi, Sikh
Beautiful Face
Male
Swedish
Swedish pet form of German Hans, HASSE means "God is gracious."Â
Boy/Male
Tamil
Garden
Male
French
French form of Latin Sebastianus, SÉBASTIEN means "from Sebaste."
Male
Polish
Polish form of Slavic Bronislav, BRONISÅAW means "glorious protector."Â
Female
Swedish
Variant spelling of Swedish Agneta, AGNETTA means "chaste; holy."
LOGICAL EQUIVALENT
LOGICAL EQUIVALENT
LOGICAL EQUIVALENT
LOGICAL EQUIVALENT
LOGICAL EQUIVALENT
a.
Of or pertaining to logic; used in logic; as, logical subtilties.
a.
Having or observing logical sequence; logically consistent and rigorous; consecutive in development or transition of thought.
a.
Of or pertaining to the nodes; from a node to the same node again; as, the nodical revolutions of the moon.
pl.
of Lorica
a.
Logical.
n.
Of or pertaining to a place; limited; logical application; as, a topical remedy; a topical claim or privilege.
a.
According to the rules of logic; as, a logical argument or inference; the reasoning is logical.
n.
A logical deduction.
a.
Having a mixture of seriousness and sport; serious and comical.
n.
A treatise on logic; as, Mill's Logic.
n.
A person skilled in logic.
n.
See Logic.
v. t.
Consistent; logical.
a.
Ignorant or negligent of the rules of logic or correct reasoning; as, an illogical disputant; contrary of the rules of logic or sound reasoning; as, an illogical inference.
a.
Skilled in logic; versed in the art of thinking and reasoning; as, he is a logical thinker.
a.
Having the form of, or resembling, a geometrical cone; round and tapering to a point, or gradually lessening in circumference; as, a conic or conical figure; a conical vessel.
adv.
In a logical manner; as, to argue logically.
a.
Excessively logical; adhering too closely to the forms or rules of logic.
a.
Exciting mirth; droll; laughable; as, a comical story.
a.
Half logical; partly logical; said of fallacies.