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Topics referred to by the same term
Look up implication, implicational, implications, implies, or imply in Wiktionary, the free dictionary. Implication may refer to: Logical consequence
Implication
Topics referred to by the same term
Material implication may refer to: Material conditional, a logical connective Material implication (rule of inference), a rule of replacement for some
Material_implication
Logical connective
implication) is a binary operation commonly used in logic. When the conditional symbol → {\displaystyle \to } is interpreted as material implication,
Material_conditional
An implication table is a tool used to facilitate the minimization of states in a state machine. The concept is to start assuming that every state may
Implication_table
Rule of logical inference
modus ponendo ponens (from Latin 'mode that by affirming affirms'), implication elimination, or affirming the antecedent, is a deductive argument form
Modus_ponens
The Implication-Realization (I-R) model of melodic expectation was developed by Eugene Narmour as an alternative to Schenkerian analysis centered less
Implication-Realization
Type of logical contradiction
The paradoxes of material implication are a group of classically true formulae involving material conditionals whose translations into natural language
Paradoxes of material implication
Paradoxes_of_material_implication
Directed graph representing a Boolean expression
In mathematical logic and graph theory, an implication graph is a skew-symmetric, directed graph G = (V, E) composed of vertex set V and directed edge
Implication_graph
formal concept analysis (FCA) implications relate sets of properties (or, synonymously, of attributes). An implication A→B holds in a given domain when
Implication (information science)
Implication_(information_science)
Concept in mathematical logic
converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q
Converse_(logic)
Logical connective
is equivalent (or materially equivalent) to Q (compare with material implication), P precisely if Q, P precisely (or exactly) when Q, P exactly in case
If_and_only_if
American post–World War II art movement
to Washington, DC., and worked together for a while, working at the implications of this kind of painting. In abstract painting during the 1950s and 1960s
Abstract_expressionism
Formal statement in logic
avoid paradoxes of material implication. The following statement, for example, is not correctly formalized by material implication: If Bill Gates graduated
Strict_conditional
System of resource-aware logic
intuitionistic and classical implication can be recovered from linear implication by inserting exponentials: intuitionistic implication is encoded as !A ⊸ B,
Linear_logic
Capacity for a sign to have multiple related meanings
of polysemy was developed by B. T. S. Atkins, in the form of lexical implication rules. These are rules that describe how words, in one lexical context
Polysemy
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
Syllogism with conditional premise(s)
the chain argument, chain rule, or the principle of transitivity of implication). The rule may be stated: P → Q , Q → R ∴ P → R {\displaystyle {\frac
Hypothetical_syllogism
Branch of logic
system. The deduction theorem of classical logic relates conjunction and implication: A ∧ B ⊢ C iff A ⊢ B ⇒ C {\displaystyle A\wedge B\vdash C\quad {\mbox{iff}}\quad
Bunched_logic
Implicational hierarchy, in linguistics, is a chain of implicational universals. A set of chained universals is schematically shown as in (1): (1) A <
Implicational_hierarchy
Rule of replacement in propositional logic
In classical propositional logic, material implication is a valid rule of replacement that allows a conditional statement to be replaced by a disjunction
Material implication (rule of inference)
Material_implication_(rule_of_inference)
Formal proof
Transformation rules Propositional calculus Rules of inference (List) Implication introduction / elimination (modus ponens) Biconditional introduction /
Conditional_proof
Property involving two mathematical operations
→ R ) ) Distribution of implication ( P → ( Q ↔ R ) ) ⇔ ( ( P → Q ) ↔ ( P → R ) ) Distribution of implication over equivalence ( P →
Distributive_property
Conditional statement which is true because the antecedent cannot be satisfied
non-vacuously (since some integers are indeed greater than 5), but some of its implications are only vacuously true: for example, when x is the integer 2, the statement
Vacuous_truth
Fuzzy logic concept
interpreted by a t-norm, the residuum plays the role of implication (often called R-implication). If ⇒ {\displaystyle \Rightarrow } is the residuum of
T-norm
Severe malnutrition due to energy deficiency
muscle mass, and increased visceral fat. Moreover, there are metabolic implications including reduced insulin sensitivity and impaired glucose metabolism
Marasmus
Emerging technology field
Nanoid robotics (nanorobotics or nanobotics for short) is an emerging technology field creating robots whose components are at or near the scale of a nanometer
Nanorobotics
of non-classical logics designed to exclude the paradoxes of material implication. The characteristic that separates connexive logic from other non-classical
Connexive_logic
Rule of logical inference
transposition to the premise which is a material implication. For example: If P, then Q. (premise – material implication) If not Q, then not P. (derived by transposition)
Modus_tollens
In logic, a statement which is always true
{\displaystyle R} to be true, and so the definition of tautological implication is trivially satisfied. Similarly, if S {\displaystyle S} is a tautology
Tautology_(logic)
Kind of non-classical logic
kind of non-classical logic requiring the antecedent and consequent of implications to be relevantly related. They may be viewed as a family of substructural
Relevance_logic
Logic problem, AND of pairwise ORs
Alternatively, they may be expressed as a special type of directed graph, the implication graph, which expresses the variables of an instance and their negations
2-satisfiability
Concerns and policies regarding the biophysical environment
Environmental impact of paper Environmental impact of pesticides Environmental implications of nanotechnology Environmental impact of shipping Environmental impact
Environmental_issues
Version of classical propositional calculus that uses only one connective
logic, the implicational propositional calculus is a version of classical propositional calculus that uses only one connective, called implication or conditional
Implicational propositional calculus
Implicational_propositional_calculus
French army officer (1845–1924)
Maurice-Henri Weil (1845–1924) was a French soldier and historian noted for his implication in the Dreyfus Affair. Maurice-Henri Weil was born in Paris to Ignace-Léopold
Maurice_Weil
Various systems of symbolic logic
be used to obtain new formulas: A weakened premise makes for a strong implication, and vice versa. For example, note that if ( ¬ ¬ ψ ) → ϕ {\displaystyle
Intuitionistic_logic
Slang term used for a young person
age of consent for sexual activity and usually appears older, with the implication that a person above the age of consent might find them sexually attractive
Jailbait
Study of general and fundamental questions
biology, examining their fundamental concepts, methods, assumptions and implications. Philosophy is related to and informs many other fields, such as law
Philosophy
Question that has a built-in supposition
presuppositions (often with loaded language—having an unspoken and often emotive implication), it is known as a loaded question. For example, a classic loaded question
Complex_question
Information conveyed verbally yet not literally
this is an implicated premise. The hearer can now draw the contextual implications that +> Susan needs to be cheered up. +> Peter wants me to ring Susan
Implicature
System of logic in mathematics and philosophy
connectives of Łukasiewicz logic are → {\displaystyle \rightarrow } ("implication"), and the constant ⊥ {\displaystyle \bot } ("false"). Additional connectives
Łukasiewicz_logic
Situation in which one cannot avoid a problem because of contradictory constraints
applied to loopholes and quirks of the military system, always with the implication that rules are inaccessible to and slanted against those lower in the
Catch-22_(logic)
Open source browser engine
version as Blink in 2013. Blink's name was influenced by two factors: the implication of speed, and a reference to the non-standard blink HTML element, popularised
Blink_(browser_engine)
19th-century English proverb
advocating for the daily consumption of apples. By extension, the broader implication is "if one eats healthful foods, one will remain in good health and will
An apple a day keeps the doctor away
An_apple_a_day_keeps_the_doctor_away
Point in time when the maximum rate of petroleum extraction is reached
unprecedented risk management problem." To avoid the serious social and economic implications a global decline in oil production could entail, the Hirsch report emphasized
Peak_oil
Symbol connecting formulas in logic
examples. Common connectives include negation, disjunction, conjunction, implication, and equivalence. In standard systems of classical logic, these connectives
Logical_connective
Mathematical table used in logic
negation is Russell's, alongside of which is the matrix for material implication in the hand of Ludwig Wittgenstein. It is shown that an unpublished manuscript
Truth_table
Type of logical formula
programming, where it is common to write definite clauses in the form of an implication: (p ∧ q ∧ ... ∧ t) → u In fact, the resolution of a goal clause with
Horn_clause
Unsourced material may be challenged and removed. Find sources: "Ethical implications in contracts" – news · newspapers · books · scholar · JSTOR (May 2026)
Ethical implications in contracts
Ethical_implications_in_contracts
Universally-occurring linguistic pattern
(opposite: statistical, often called tendencies) and implicational (opposite: non-implicational). Absolute universals apply to every known language and
Linguistic_universal
Device that measures proper acceleration
ISSN 2510-523X. Kröger, Jacob Leon; Raschke, Philip (January 2019). "Privacy implications of accelerometer data: a review of possible inferences". Proceedings
Accelerometer
Spanish spy (1936–2023)
1936 – 3 May 2023) was a Spanish spy and businessman best known for his implication in several corruption scandals and the faking of his own death in the
Francisco_Paesa
Fifth letter of the Latin alphabet
English language alphabet and several other European languages, which has implications in both cryptography and data compression. This makes it a harder letter
E
Erotic practices involving domination and sadomasochism
person, for example, by being whipped, purely recreationally, without any implication of being psychologically dominated, and submissives may be ordered to
BDSM
State of a person who has never engaged in sexual intercourse
interpersonal relationships. Although virginity has social implications and had significant legal implications in some societies in the past, it has no legal consequences
Virginity
Common Greek noun for knowledge
and philosophies in the Greco-Roman world. It is best known for its implication within Gnosticism, where it signifies a spiritual knowledge or insight
Gnosis
Movement of Earth's lithosphere
sciences, explaining a diverse range of geological phenomena and their implications in other studies such as paleogeography and paleobiology. In the late
Plate_tectonics
Polytheistic religious groups
generally applied the term "pagan" to any non-Christian group with the implication of belief in false gods. The origin of the term's application to polytheism
Paganism
Pair of logical equivalences
understood by setting up models using Kripke semantics. Three out of the four implications of de Morgan's laws hold in intuitionistic logic. Specifically, we have
De_Morgan's_laws
Wine term used to indicate a high-quality vineyard or group of vineyards
wines. The term is often used within classifications of French wine. By implication, a wine that displays (or is allowed to display) the name of its cru
Cru_(wine)
Dispute resolution with assistance of a moderator
Australian Government sought to engage the population and industry on Mabo's implications for land tenure and use by enacting the Native Title Act 1993 (Cth),
Mediation
English Army officer and politician
Oliver Cromwell during the Commonwealth.[citation needed] Following his implication in the Rye House Plot in 1683, Armstrong was hanged, drawn and quartered
Thomas Armstrong (English politician)
Thomas_Armstrong_(English_politician)
Logical connective
connective which is the negation of converse implication (equivalently, the negation of the converse of implication). Converse nonimplication is notated P ↚
Converse_nonimplication
2005 book by T. Colin Campbell and Thomas M. Campbell II
Most Comprehensive Study of Nutrition Ever Conducted and the Startling Implications for Diet, Weight Loss and Long-term Health is a book by T. Colin Campbell
The_China_Study
Attack model against cryptographic hash functions
collision resistance does imply preimage resistance (by a provisional implication). Conversely, a second-preimage attack implies a collision attack (trivially
Preimage_attack
Resistance to German occupation in WWII
several forms: Asserting the legitimacy of the exiled government, and by implication the lack of legitimacy of Vidkun Quisling's pro-Nazi regime and Josef
Norwegian_resistance_movement
Relationship between programs and proofs
of the combinators could be seen as axiom-schemes for intuitionistic implicational logic. In 1958, he observes that a certain kind of proof system, referred
Curry–Howard_correspondence
Internet aesthetic capturing empty and often transitional places
is the absence of living things, particularly other people, with the implication that the viewer is alone; this lack of presence is characteristic of
Liminal_space
Folk story and cautionary tale
tradition in which a vagina is said to contain teeth, with the associated implication that sexual intercourse might result in injury, emasculation, or castration
Vagina_dentata
Algebraic structure used in logic
and greatest element 1) equipped with a binary operation a → b called implication such that (c ∧ a) ≤ b is equivalent to c ≤ (a → b). In a Heyting algebra
Heyting_algebra
Japanese rock band
collaborates with other artists regularly, first on the 1998 album Black: Implication Flooding with experimental musician Keiji Haino. They have released several
Boris_(band)
Clade of reptiles
Caseosaurus crosbyensis from the Late Triassic of Texas, USA and its implications for early dinosaur evolution". Acta Palaeontologica Polonica. 63. doi:10
Dinosaur
Slang
the statement or action by the speaker had no intentional homosexual implications, to "rid [oneself] of a possible homosexual double-entendre". The phrase
No_homo
Proof strategy for showing a collection of statements are equivalent
English it is also sometimes called a cycle of implications, closed chain inference, or circular implication; however, it should be distinguished from circular
Ringschluss
Title given to military organizations
is a title given to military organizations at various times, with the implication of an emergency or reserve force raised for local defense. The term "home
Home_guard
expectation, expectedness, and in French attente Facilitation Implication / realization Implication (independent from realization) Induction Inertia Musical
Melodic_expectation
or method. The listing documents the occurrence of a death, making no implications regarding wrongdoing or justification on the part of the person killed
List of unarmed African Americans killed by law enforcement officers in the United States
List_of_unarmed_African_Americans_killed_by_law_enforcement_officers_in_the_United_States
Quote from ''Hamlet'' indicating an ironic reversal
preposition, particularly "by" (i.e. "hoist by his own petard") or "on", the implication being that the bomb has rolled back and the unfortunate bomb-maker has
Hoist_with_his_own_petard
Idiom
[or "have been out"], but don't ask where", often with the facetious implication that you are about to be, or have been, up to no good. In the Southern
See_a_man_about_a_dog
research activities that anticipate and address ethical, legal and social implications (ELSI) or aspects (ELSA) of emerging sciences, notably genomics and nanotechnology
Ethical, Legal and Social Aspects research
Ethical,_Legal_and_Social_Aspects_research
American political insult for someone sympathetic to communism
20th century to refer to those of leftish sympathies, usually with an implication of effeteness. In the 1920s, for example, a Wall Street Journal editorial
Pinko
Person who holds values of ancient Romans
to embody the values of ancient Roman civilization – values which, by implication, became extinct on their death. It has been used to describe a number
Last_of_the_Romans
Science fiction genre that focuses on technological use of life studies
focuses on biotechnology. It is derived from cyberpunk, but focuses on the implications of biotechnology rather than mechanical cyberware and information technology
Biopunk
Mental distress due to gender incongruence
the binary model of gender. However, this declassification could carry implications for healthcare accessibility, as HRT and gender-affirming surgery could
Gender_dysphoria
Subclade of green plants, also known as land plants
liverworts are more closely related to mosses than hornworts, with the implication that liverworts were not among the first species to colonize land. There
Setaphyta
Cognitive biases associated with occupations
though French déformation can also be translated as distortion. The implication is that professional training, and its related socialization, often result
Déformation_professionnelle
Format for expressing RDF statements in HTML documents
Beautiful, Tormented Machine". Building Interoperable Web Metadata "RDFa – Implications for Accessibility – Standards Schmandards". "Web Data Commons – RDFa
RDFa
Topics referred to by the same term
refers to: Crossword puzzle, a word game Economic puzzle, where the implication of theory is inconsistent with observed economic data Jigsaw puzzle,
Puzzle_(disambiguation)
Public relations tactic using fake grassroots movements
by withholding information about the source's financial backers. The implication behind the use of the term is that instead of a "true" or "natural" grassroots
Astroturfing
Topics referred to by the same term
map from one set to another in set theory →, representing a material implication in logic →, representing morphism in category theory →, representing
→
Methods for indexing the Internet
Back-of-the-book-style web indexes may be called "web site A-Z indexes". The implication with "A-Z" is that there is an alphabetical browse view or interface
Web_indexing
Topics referred to by the same term
the assignment operator in various programming languages a converse implication in logic the relative direction of left or back "Caused by" (and other
←
Time period of 1000 years
beginning on any date. Millennia sometimes have religious or theological implications (see millenarianism). The word millennium derives from the Latin mille
Millennium
Logical connective
generic circuits and Boolean algebra. It is the negation of material implication. That is to say that for any two propositions P {\displaystyle P} and
Material_nonimplication
Air pressure differential between two areas
the movement of gases or liquids along a pressure gradient with the implication that the movement occurs because the lower pressure pulls the gas or
Suction
Symbolic logic system
formulated using the same syntax as intuitionistic propositional logic, with implication → {\displaystyle \to } , conjunction ∧ {\displaystyle \land } , disjunction
Minimal_logic
Erotic materials depicting minors
enforcement personnel because the term "pornography" can carry the inaccurate implication of consent and create distance from the abusive nature of the material
Child_pornography
Figure of speech describing an impossible event
figure of speech so hyperbolic that it describes an impossibility. The implication of such a phrase is that the circumstances in question (the adynaton
When_pigs_fly
Nonsensical speech or writing
rough equivalent of nonsense, folderol, balderdash, or claptrap. The implication is that the criticized expression or proposition lacks substance or congruence
Gibberish
Place
Carnival Corporation also owns nearby Half Moon Cay. Contrary to the implication of its name, it is located on Eleuthera, rather than on separate islands
Princess_Cays
Historical period (c. 3300–1200 BCE)
Another implication is decreased levels of immunocompetence in the Metal Age due to changes in diet caused by agriculture. The last implication is that
Bronze_Age
IMPLICATION
IMPLICATION
IMPLICATION
IMPLICATION
Surname or Lastname
English
English : patronymic from Speak.
Girl/Female
Indian, Tamil
Truthful Princess
Girl/Female
Australian, Hindu, Indian
Smart
Girl/Female
Tamil
New, Rainy, Handsome, Gratified
Surname or Lastname
English
English : topographic name from Middle English dene ‘valley’ (Old English denu), or a habitational name from any of several places in various parts of England named Dean, Deane, or Deen from this word. In Scotland this is a habitational name from Den in Aberdeenshire or Dean in Ayrshire.English : occupational name for the servant of a dean or nickname for someone thought to resemble a dean. A dean was an ecclesiastical official who was the head of a chapter of canons in a cathedral. The Middle English word deen is a borrowing of Old French d(e)ien, from Latin decanus (originally a leader of ten men, from decem ‘ten’), and thus is a cognate of Deacon.Irish : variant of Deane.Italian : occupational name cognate with 2, from Venetian dean ‘dean’, a dialect form of degan, from degano (Italian decano).
Surname or Lastname
English
English : from a pet form of Bagge 2.
Boy/Male
Indian, Punjabi, Sikh
Lamp Flame
Female
English
Short form of English Latisha, TISHA means "happiness."
Female
Russian
(ÐаÑтаÑÑŒÑ) Short form of Russian Anastasiya, NASTASIA means "resurrection."
Male
Irish
Irish Gaelic form of Latin Lucas, LÚCÃS means "from Lucania."
IMPLICATION
IMPLICATION
IMPLICATION
IMPLICATION
IMPLICATION
v.
To shut out by anticipative action; to prevent or hinder by necessary consequence or implication; to deter action of, access to, employment of, etc.; to render ineffectual; to obviate by anticipation.
n.
A thing not directly aimed at; something which is a secondary object of regard; an object by the way, etc.; as in on or upon the bye, i. e., in passing; indirectly; by implication.
adv.
In an explicit manner; clearly; plainly; without disguise or reservation of meaning; not by inference or implication; as, he explicitly avows his intention.
n.
Contamination by illegality, as in cases of contraband goods; implication.
adv.
Figuratively [Obs.]; by way of allusion; by implication, suggestion, or insinuation.
n.
The act of presupposing; an antecedent implication; presumption.
a.
Not implied merely, or conveyed by implication; distinctly stated; plain in language; open to the understanding; clear; not obscure or ambiguous; express; unequivocal; as, an explicit declaration.
a.
Shrinking from approach or familiarity; reserved; bashful; shy; modest; -- usually applied to women, sometimes with an implication of coquetry.
a.
Like a rascal; trickish or dishonest; base; worthless; -- often in humorous disparagement, without implication of dishonesty.
adv.
By implication.
adv.
By implication; impliedly; as, to deny the providence of God is implicitly to deny his existence.
n.
An implying, or that which is implied, but not expressed; an inference, or something which may fairly be understood, though not expressed in words.
n.
The act of implicating, or the state of being implicated.
adv.
By implication or inference.
v. t.
To take in or include by construction or implication; to comprise; to imply.
v. t.
To mark along with; to suggest or indicate as additional; to designate by implication; to include in the meaning; to imply.
n.
The act of connoting; a making known or designating something additional; implication of something more than is asserted.