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Expression denoting a set of sets in formal semantics
semantics, a generalized quantifier (GQ) is an expression that denotes a set of sets. This is the standard semantics assigned to quantified noun phrases
Generalized_quantifier
Mathematical use of "for all" and "there exists"
semantics of quantified noun phrases Lindström quantifier — a generalized polyadic quantifier Quantifier shift "Predicates and Quantifiers". Oak Ridge
Quantifier_(logic)
Generalized polyadic quantifier
Lindström quantifier is a generalized polyadic quantifier. Lindström quantifiers generalize first-order quantifiers, such as the existential quantifier, the
Lindström_quantifier
Qx_{1}\dots Qx_{n}\rangle } of quantifiers for Q ∈ {∀,∃}. It is a special case of generalized quantifier. In classical logic, quantifier prefixes are linearly
Branching_quantifier
Type of determiner that indicates quantity
Mathematics, quantifiers were introduced into mathematical logic formalism. See Quantifier (logic) § History for details. Linguistics portal Generalized quantifier—the
Quantifier_(linguistics)
Denoting phrase in the form of "the X"
defended Russell's theory, and incorporated it into the theory of generalized quantifiers. On this view, 'the' is a quantificational determiner like 'some'
Definite_description
Semantic object to which an operator applies
Continuation-passing style De dicto and de re Generalized quantifier Logical form (linguistics) Quantifier (linguistics) Type shifter Heim, Irene; Kratzer
Scope_(formal_semantics)
Kind of quantifier in logic
In logic, a conditional quantifier is a kind of Lindström quantifier (or generalized quantifier) QA that, relative to a classical model A, satisfies some
Conditional_quantifier
Mathematical logical term
A counting quantifier is a mathematical term for a quantifier of the form "there exists at least k elements that satisfy property X". In first-order logic
Counting_quantification
Concept of logic or linguistics
another level of abstraction.[citation needed] Compositionality Generalized quantifier John Pagus Lambda calculus Logical connective Supposition theory
Syncategorematic_term
term 'quantifier', more precisely existential quantifier. A 'quantifier' is an expression like "there exists at least one 'such-and-such'". Quantifier variance
Quantifier_variance
Statistics models class
In statistics, a generalized additive model (GAM) is a generalized linear model in which the linear response variable depends linearly on unknown smooth
Generalized_additive_model
Extension of first-order logic with atoms expressing variable dependencies
Dependence logic is a logic of imperfect information, like branching quantifier logic or independence-friendly logic (IF logic): in other words, its game-theoretic
Dependence_logic
Use of an expression whose interpretation depends on context
work by Kamp (1981) and Heim (File Change Semantics, 1982), and generalized quantifier theory, such as work by Barwise and Cooper (1981), was studied in
Anaphora_(linguistics)
Formal study of linguistic meaning
"some students smoke". Formal semanticists use the concept of generalized quantifiers to extend this basic framework to a broad range of quantificational
Formal semantics (natural language)
Formal_semantics_(natural_language)
Proposed linguistic universal
the equivalence of the following two sentences, schematized in generalized quantifier notation to the right. Every aardvark bites.
Conservativity
Overview of and topical guide to logic
grammar Situation semantics Concepts Compositionality Counterfactuals Generalized quantifier Logic translation Mereology Modality (natural language) Opaque context
Outline_of_logic
Any collection of sets, or subsets of a set
concept in measure theory, also referred to as an algebra of sets Generalized quantifier – Expression denoting a set of sets in formal semantics Indexed
Family_of_sets
Mathematical use of "for all"
function is obtained by changing the universal quantifier into an existential quantifier and negating the quantified formula. That is, ¬ ∀ x P ( x ) is equivalent
Universal_quantification
Lexical item associated with affirmation or negation
ongoing research in cross-linguistic semantics. Downward entailing Generalized quantifier Grammatical polarity Subtrigging Veridicality See Baker (1970).
Polarity_item
Concept in formal logic
[clarification needed] Definable set Branching quantifier Generalized quantifier Plural quantification Reification (linguistics) Boolos, George (August
Nonfirstorderizability
Computational problem
winning strategy in a generalized geography game is PSPACE-complete. Let GG = { ⟨G, b⟩ | P1 has a winning strategy for the generalized geography game played
Generalized_geography
Dutch professor, philosopher and logician
philosophy of science, logical structures in natural language (generalized quantifiers, categorial grammar, substructural proof theory), dynamic logic
Johan_van_Benthem_(logician)
Measure of income inequality
biodiversity as entropy has also been proposed leading to uses of generalized entropy to quantify biodiversity. The formula for general entropy for real values
Generalized_entropy_index
Form of logic that allows quantification over predicates
sentence like Cube(b) and obtain a quantified sentence by replacing the name with a variable and attaching a quantifier: ∃ x C u b e ( x ) {\displaystyle
Second-order_logic
⊆ X {\displaystyle A\subseteq X} are "large". Filter quantifiers are a type of logical quantifier which, informally, say whether or not a statement is
Filter_quantifier
Mathematical theory of data types
Science 14 (2012): 271-323. Barwise, Jon; Cooper, Robin (1981) Generalized quantifiers and natural language Linguistics and Philosophy 4 (2):159--219
Type_theory
Representation of the control state of a computer program
discernible at the core of Montague's (1973) PTQ treatment of NPs as generalized quantifiers". The extent to which continuations can be used to explain other
Continuation
Kaplan. generalized quantifier In logic and linguistics, a quantifier that can express more complex relationships than standard quantifiers like "all"
Glossary_of_logic
Mathematical theory
that plural logic as Boolos defined it is ontologically innocent. Generalized quantifier Homogeneity (linguistics) Variadic function Harman, Gilbert; Lepore
Plural_quantification
Logical quantifier
uniqueness quantification can be generalized into counting quantification (or numerical quantification). This includes both quantification of the form
Uniqueness_quantification
Study of correct reasoning
existential quantifier " ∃ {\displaystyle \exists } " applied to the individual variable " x {\displaystyle x} ". In higher-order logics, quantification is also
Logic
Pair of logical equivalences
This duality can be generalised to quantifiers, so for example the universal quantifier and existential quantifier are duals: ∀ x P ( x ) ≡ ¬ [ ∃ x ¬
De_Morgan's_laws
Field in mathematics similar to the real numbers
there is an algorithm that, given a quantifier-free formula defining a semialgebraic set, produces a quantifier-free formula for its projection. In fact
Real_closed_field
International learned society
Goranko (2016–2020), and Larry Moss (2020-2024). Dynamic semantics Generalized quantifier Information theory Type theory "FoLLI website". Retrieved 6 July
Association for Logic, Language and Information
Association_for_Logic,_Language_and_Information
Topics referred to by the same term
subunit, a class of proteins Generalized quadrangle, a type of incidence structure in mathematics Generalized quantifier, a type of expression in linguistic
Gq_(disambiguation)
Computational Formula that can be measured in terms of True or False
PSPACE proof where no more than one universal quantifier is placed between each variable's use and the quantifier binding that variable. This was critical
True quantified Boolean formula
True_quantified_Boolean_formula
Concept in functional programming
In functional programming, a generalized algebraic data type (GADT, also first-class phantom type, guarded recursive datatype, or equality-qualified type)
Generalized algebraic data type
Generalized_algebraic_data_type
Family of probability distributions often used to model tails or extreme values
In statistics, the generalized Pareto distribution (GPD) is a family of continuous probability distributions. It is often used to model the tails of another
Generalized Pareto distribution
Generalized_Pareto_distribution
Type of logical system
"for all x, if x is a human, then x is mortal", where "for all x" is a quantifier, x is a variable, and "... is a human" and "... is mortal" are predicates
First-order_logic
Aczel in 1977 with the PhD thesis Applications of Set Theory to Generalized Quantifiers. He was elected to the Finnish Academy of Science and Letters in
Jouko_Väänänen
Dutch linguist
research topics include genericity in linguistics, intensional logic, generalized quantifiers, discourse representation theory, and the linguistic representation
Alice_ter_Meulen
Ways how entities stand to each other
Westerstahl, Dag (December 1989). "Aristotelian syllogisms and generalized quantifiers". Studia Logica. 48 (4): 577–585. doi:10.1007/bf00370209. S2CID 32089424
Relation_(philosophy)
Science of characterizing uncertainties
maximum likelihood estimation (MLE). This module can be considered as a generalized kriging method. Module 2: Gaussian process modeling for the discrepancy
Uncertainty_quantification
Brazilian logician
the formalization of qualitative reasoning by means of special generalized quantifiers. His research also includes model theory, non-classical logics
Walter_Carnielli
Swedish logician (1936–2009)
a Swedish logician, after whom Lindström's theorem and the Lindström quantifier are named. (He also independently discovered Ehrenfeucht–Fraïssé games
Per_Lindström
Dutch linguist
negative polarity, and his work is part of the Dutch school of generalized quantifier theory. He is especially known for applying results from the study
Jack_Hoeksema
Method of representing a random variable
and engineering community by R. Ghanem and P. D. Spanos in 1991 and generalized to other orthogonal polynomial families by D. Xiu and G. E. Karniadakis
Polynomial_chaos
Academic journal
Lindström, First Order Predicate Logic with Generalized Quantifiers, Theoria 32, 1966, 186–195. (Lindström quantifiers) Per Lindström, On Extensions of Elementary
Theoria_(philosophy_journal)
of the relational properties of determiners (a contribution to generalized quantifier theory), Zwarts (1983), and a paper on extraction from prepositional
Frans_Zwarts
Family of probability distributions
In probability theory and statistics, the generalized extreme value (GEV) distribution is a family of continuous probability distributions developed within
Generalized extreme value distribution
Generalized_extreme_value_distribution
Italian philosopher (1962–2015)
work in philosophy of logic was concerned with applications of generalized quantifier theory and abstraction principles to the foundations of arithmetic
G._Aldo_Antonelli
Statistical framework
facets are potential sources of error and the purpose of generalizability theory is to quantify the amount of error caused by each facet and interaction
Generalizability_theory
Falso
phrase structure grammars is to assume quantifier raising (QR). Quantifier raising involves moving a quantifier to a higher position in the structure,
Verb_phrase_ellipsis
Concept in information theory
Hahn, Thomas; Y. -Z. Tan, Ernest (2024). "Generalized Rényi entropy accumulation theorem and generalized quantum probability estimation". Physical Review
Rényi_entropy
Algorithmic complexity class
hierarchy of complexity classes with increasingly more complex oracles or quantifier alternations. For example, the class 2-EXPTIME is defined similarly to
EXPTIME
Set of equations
The generalized Lotka–Volterra equations are a set of equations which are more general than either the competitive or predator–prey examples of Lotka–Volterra
Generalized Lotka–Volterra equation
Generalized_Lotka–Volterra_equation
Theorem about products in model theory
Extending the condition to quantified formulas can be viewed as a form of quantifier elimination, where quantification over product elements a ¯ {\displaystyle
Feferman–Vaught_theorem
Fundamental result of mathematical logic
existential quantifiers is provable (valid) in first-order logic if and only if a disjunction composed of substitution instances of the quantifier-free subformula
Herbrand's_theorem
French computer scientist
L, Seth A (24 June 1998). "Ordering finite variable types with generalized quantifiers". Proceedings. Thirteenth Annual IEEE Symposium on Logic in Computer
Serge_Abiteboul
Basis of generic programming
different from how quantifier rank is defined in classical logic because here it measures nesting depth relative to a non-quantifier connective, whereas
Parametric_polymorphism
of generalized functions, the limit of a sequence of distributions is the distribution that sequence approaches. The distance, suitably quantified, to
Limit_of_distributions
Area of mathematical logic
quantifier elimination, every definable subset of an algebraically closed field is definable by a quantifier-free formula in one variable. Quantifier-free
Model_theory
Computer science concept
polynomial-time reductions) that ask if quantified Boolean formulae hold, for formulae with restrictions on the quantifier order. It is known that equality between
Polynomial_hierarchy
Extension of a formal language by the epsilon operator
of consistency. The epsilon-extended calculus is further extended and generalized to cover those mathematical objects, classes, and categories for which
Epsilon_calculus
Algebraic structure
where the interior operator is the universal quantifier and the closure operator is the existential quantifier. The monadic Boolean algebras are then precisely
Interior_algebra
Standard form of Boolean function
C_{m}&&{\text{// (generalized) D.M.}}\end{aligned}}} where ¬ C i = ¬ ( l i 1 ∧ l i 2 ∧ … ∧ l i n i ) ↔ ( ¬ l i 1 ∨ ¬ l i 2 ∨ … ∨ ¬ l i n i ) // (generalized) D.M.
Conjunctive_normal_form
Excessive sweating
specific, narrowly defined, clinical disorder. Hyperhidrosis can either be generalized, or localized to specific parts of the body. Hands, feet, armpits, groin
Hyperhidrosis
Proposition in mathematical logic
by Paul Cohen, complementing earlier work by Kurt Gödel in 1940. The generalized continuum hypothesis states that ℵ α + 1 = 2 ℵ α {\displaystyle \aleph
Continuum_hypothesis
Sequence of characters that forms a search pattern
equivalent patterns which both describe the set of "gray" or "grey". Quantification A quantifier after an element (such as a token, character, or group) specifies
Regular_expression
Medical condition
Acquired generalized lipodystrophy (AGL), also known as Lawrence syndrome and Lawrence–Seip syndrome, is a rare skin condition that appears during childhood
Acquired generalized lipodystrophy
Acquired_generalized_lipodystrophy
Rule of inference in predicate logic
to a quantified generalized statement, or existential proposition. In first-order logic, it is often used as a rule for the existential quantifier ( ∃
Existential_generalization
In the mathematical theory of probability, a generalized renewal process (GRP) or G-renewal process is a stochastic point process used to model failure/repair
Generalized_renewal_process
SNRI medication
among others, is a medication used to treat major depressive disorder, generalized anxiety disorder, obsessive–compulsive disorder, fibromyalgia, neuropathic
Duloxetine
Method for model fitting in statistics
is incorporated into the regression. WLS is also a specialization of generalized least squares, when all the off-diagonal entries of the covariance matrix
Weighted_least_squares
How many different types are in a dataset
true diversity in a dataset is calculated by first taking the weighted generalized mean Mq−1 of the proportional abundances of the types in the dataset
Diversity_index
Mathematical expression
simple continued fractions, whereas the general case is referred to as generalized continued fractions. In complex analysis and numerical analysis, the
Continued_fraction
Measure of the long-range dependence of a time series
for the coefficient also relates to his name. In fractal geometry, the generalized Hurst exponent has been denoted by H or Hq in honor of both Harold Edwin
Hurst_exponent
Framework for scoring a behavior's complexity
a behavior is, such as verbal reasoning or other cognitive tasks. It quantifies the order of hierarchical complexity of a task based on mathematical principles
Model of hierarchical complexity
Model_of_hierarchical_complexity
Statistical measure
deviation is typically simply a differences of scalars; it can also be generalized to the vector lengths of a displacement, as in the bioinformatics concept
Root_mean_square_deviation
Measure giving the average loss beyond a specified Value-at-Risk level
))}{1-\alpha }}.} If the payoff of a portfolio X {\displaystyle X} follows generalized Student's t-distribution with the p.d.f. f ( x ) = Γ ( ν + 1 2 ) Γ (
Tail_value_at_risk
Sentence that resists simple formalization
require using a universal quantifier for the indefinite noun phrase "a donkey", rather than the expected existential quantifier. The naive first attempt
Donkey_sentence
Statistical method in hydrology
Generalized likelihood uncertainty estimation (GLUE) is a statistical method used in hydrology for quantifying the uncertainty of model predictions. The
Generalised likelihood uncertainty estimation
Generalised_likelihood_uncertainty_estimation
Network whose degree distribution follows a power law
"scale" k {\displaystyle k} is a measure of connectivity, generally quantified by a node's degree—that is, the number of links attached to it. Networks
Scale-free_network
addition of counting quantifiers, and thus of uniqueness quantification. This is a more powerful result, as counting quantifiers for high numerical values
Two-variable_logic
Form of second-order logic
ISBN 978-0521898331. Retrieved 2016-09-15. Fagin, Ronald (1975), "Monadic generalized spectra", Zeitschrift für Mathematische Logik und Grundlagen der Mathematik
Monadic_second-order_logic
Calculations of the game complexity of Go
True Quantified Boolean Formula, which is known to be PSPACE-complete, to generalized geography, to planar generalized geography, to planar generalized geography
Go_and_mathematics
Function type in category theory
F-algebras generalize the notion of algebraic structure. Rewriting the algebraic laws in terms of morphisms eliminates all references to quantified elements
F-algebra
Proof of Herbrand's theorem
{\displaystyle F} contains no variable that is bound by two different quantifier occurrences, and that no variable occurs both bound and free. (That is
Herbrandization
Technique to solve partial differential equations
to leverage usage of available computational resources. XPINNs are a generalized space-time domain decomposition approach for the physics-informed neural
Physics-informed neural networks
Physics-informed_neural_networks
based in two procedures: Form-Class and Determine-Quantifier. The procedure Form-Class generalize the Reacts predicates by replacing the substance names
Glauber_discovery_system
System of mathematical set theory
Bound variables within nested quantifiers are handled by increasing the subscript by one for each successive quantifier. This leads to rule 4, which must
Von Neumann–Bernays–Gödel set theory
Von_Neumann–Bernays–Gödel_set_theory
Term in mathematical logic
existential quantifier in φ {\displaystyle \varphi } with disjunction over all the elements in the model and replacing every universal quantifier with conjunction
Spectrum_of_a_sentence
Generalized version of classical Green's function
Multiscale Green's function (MSGF) is a generalized and extended version of the classical Green's function (GF) technique for solving mathematical equations
Multiscale_Green's_function
Israeli computer science professor (born 1944)
applied proof-theoretic semantics to natural language phenomena such as quantifier scope ambiguity, adjectival modification, domain restriction, omitted
Nissim_Francez
Concept in mathematics or computer science
c}f(x)} The logical quantifiers, such as the universal quantifier ( ∀ {\displaystyle \forall } ) and the existential quantifier ( ∃ {\displaystyle \exists
Free variables and bound variables
Free_variables_and_bound_variables
Interpretation rule in formal semantics
regard, they serve as an alternative to syntactic operations such as quantifier raising used in mainstream generative approaches to semantics. Type shifters
Type_shifter
Concept in mathematical modelling
for the variation (dispersion) of a given data set. Often, variation is quantified as variance; then, the more specific term explained variance can be used
Explained_variation
Type of decision problem in computer science
(when generalized so that they can be played on an n × n {\displaystyle n\times n} board) are the games Hex and Reversi. Some other generalized games
PSPACE-complete
Problem setup in machine learning
zero-shot samples are given, namely, samples from new unseen classes. In generalized zero-shot learning, samples from both new and known classes may appear
Zero-shot_learning
GENERALIZED QUANTIFIER
GENERALIZED QUANTIFIER
Surname or Lastname
English
English : status name from Middle English squyer ‘esquire’, ‘a man belonging to the feudal rank immediately below that of knight’ (from Old French esquier ‘shield bearer’). At first it denoted a young man of good birth attendant on a knight, or by extension any attendant or servant, but by the 14th century the meaning had been generalized, and referred to social status rather than age. By the 17th century, the term denoted any member of the landed gentry, but this is unlikely to have influenced the development of the surname.
GENERALIZED QUANTIFIER
GENERALIZED QUANTIFIER
Girl/Female
Bengali, Celebrity, Hindu, Indian, Kannada, Marathi, Sanskrit, Tamil, Telugu, Traditional
Collection of Poems or Songs; Presenting Songs in a Devoted Manner; Presenting Songs as an Offering
Girl/Female
Hindu, Indian
A Smile
Boy/Male
Hindu, Indian, Kannada, Tamil
Lord Shiva
Boy/Male
Indian, Punjabi, Sikh
Lamp's Rays; Rays of Sun
Girl/Female
Irish American
Present. Also a feminine form of Sean: Irish God is gracious; gift from God.
Male
Celtic
, hereditary chief or ruler.
Girl/Female
Arabic
Leader
Girl/Female
Muslim/Islamic
Beautiful Shining Star, One and only
Girl/Female
Bengali, Indian, Tamil, Telugu
Winner; Winning
Male
English
Anglicized form of Hebrew Yuwbal, JUBAL means "river, stream." In the bible, this is the name of a son of Lamech.Â
GENERALIZED QUANTIFIER
GENERALIZED QUANTIFIER
GENERALIZED QUANTIFIER
GENERALIZED QUANTIFIER
GENERALIZED QUANTIFIER
n.
A generalized concept of magnitude.
imp. & p. p.
of Generalize
n.
A fishlike creature (Amphioxus lanceolatus), two or three inches long, found in temperature seas; -- also called the lancelet. Its body is pointed at both ends. It is the lowest and most generalized of the vertebrates, having neither brain, skull, vertebrae, nor red blood. It forms the type of the group Acrania, Leptocardia, etc.
p. pr. & vb. n.
of Generalize
v. t.
To generalize or conclude as an inference from all the particulars; -- the opposite of deduce.
v. t.
To make universal; to generalize.
v. t.
To apply to other genera or classes; to use with a more extensive application; to extend so as to include all special cases; to make universal in application, as a formula or rule.
v. t.
To derive or deduce (a general conception, or a general principle) from particulars.
n.
The act or process of centralizing, or the state of being centralized; the act or process of combining or reducing several parts into a whole; as, the centralization of power in the general government; the centralization of commerce in a city.
a.
Comprising structural characters which are separated in more specialized forms; synthetic; as, a generalized type.
imp. & p. p.
of Mineralize
v. t.
To impregnate with a mineral; as, mineralized water.
a.
Capable of being generalized, or reduced to a general form of statement, or brought under a general rule.
n.
One who takes general or comprehensive views.
imp. & p. p.
of Centralize
v. i.
To form into a genus; to view objects in their relations to a genus or class; to take general or comprehensive views.
imp. & p. p.
of Federalize
n.
The system by which power is centralized, as in a government.
v. t.
To bring under a genus or under genera; to view in relation to a genus or to genera.