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Depth of nesting of quantifiers in a formula
logic, the quantifier rank of a formula is the depth of nesting of its quantifiers. It plays an essential role in model theory. The quantifier rank is a property
Quantifier_rank
Mathematical use of "for all" and "there exists"
most common quantifiers are the universal quantifier and the existential quantifier. The traditional symbol for the universal quantifier is "∀", a rotated
Quantifier_(logic)
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
Impossible task in computing
Any first-order formula has a prenex normal form. For each possible quantifier prefix to the prenex normal form, we have a fragment of first-order logic
Entscheidungsproblem
Mathematical use of "there exists"
In predicate logic, an existential quantification is a type of quantifier which asserts the existence of an object with a given property. It is usually
Existential_quantification
Logical operation
are two quantifiers, one is the universal quantifier ∀ {\displaystyle \forall } (means "for all") and the other is the existential quantifier ∃ {\displaystyle
Negation
Method of deriving conclusions
philosopher". Another innovation of first-order logic is the use of the quantifiers ∃ {\displaystyle \exists } and ∀ {\displaystyle \forall } , which express
Rule_of_inference
Branch of logic
quantifiers. Then FO[m] can be defined as all FO formulas α with qr(α) ≤ m (or, if a partition is desired, as those FO formulas with quantifier rank equal
Finite_model_theory
Formal system of logic
standard or full semantics, quantifiers over higher-type objects range over all possible objects of that type. For example, a quantifier over sets of individuals
Higher-order_logic
Logical quantifier
certain condition. This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the
Uniqueness_quantification
Basis of generic programming
relative to a non-quantifier connective, whereas in classical logic non-quantifier connectives do not increase the rank of quantifiers nested under them
Parametric_polymorphism
Axioms for the natural numbers
definable by existentially quantified formulas (with free variables) of PA. Formulas of PA with higher quantifier rank (more quantifier alternations) than existential
Peano_axioms
Syntactically correct logical formula
is called quantifier-free. An existential formula is a formula starting with a sequence of existential quantification followed by a quantifier-free formula
Well-formed_formula
Problem in computer science
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Halting_problem
Branch of mathematical logic
the theorems of I. Second, one reduces the intuitionistic theory I to a quantifier free theory of functionals F. These interpretations contribute to a form
Proof_theory
Mathematical set of all subsets of a set
In category theory and the theory of elementary topoi, the universal quantifier can be understood as the right adjoint of a functor between power sets
Power_set
Statement that is taken to be true
predicate calculus, but additional logical axioms are needed to include a quantifier in the calculus. Axiom of equality. Let L {\displaystyle {\mathfrak {L}}}
Axiom
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
Computation model defining an abstract machine
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Turing_machine
Paradox in set theory
given to this statement is that Zermelo wanted to include higher-order quantification in order to avoid Skolem's paradox. Around 1930, Zermelo also introduced
Russell's_paradox
viewpoint involves a verificational interpretation of the existential quantifier, which is at odds with its classical interpretation. There are many forms
Mathematical_object
Algebraic manipulation of "true" and "false"
way. Boolean algebra is not sufficient to capture logic formulas using quantifiers, like those from first-order logic. Although the development of mathematical
Boolean_algebra
Branch of mathematics that studies sets
known as its rank. The rank of a pure set X {\displaystyle X} is defined to be the least ordinal that is strictly greater than the rank of any of its
Set_theory
Logical incompatibility between two or more propositions
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Contradiction
Limitative results in mathematical logic
of arithmetic consisting of a number of leading universal quantifiers followed by a quantifier-free body (these formulas are at level Π 1 0 {\displaystyle
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Mathematical-logic system based on functions
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Lambda_calculus
Process of repeating items in a self-similar way
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Recursion
Set theory concept
of all members of the set. In particular, the rank of the empty set is zero, and every ordinal has a rank equal to itself. The sets in V are divided into
Von_Neumann_universe
System of arithmetic in proof theory
usual quantifier-free axioms for 0, 1, +, ×, exp, together with the scheme of induction for all formulas in the language all of whose quantifiers are bounded
Elementary function arithmetic
Elementary_function_arithmetic
Infinite cardinal number
sets with the same cardinality as S {\displaystyle S} of minimum possible rank. This has the property that card ( S ) = card ( T ) {\displaystyle
Aleph_number
Form of mathematical proof
step. The first quantifier in the axiom ranges over predicates rather than over individual numbers. This is a second-order quantifier, which means that
Mathematical_induction
Logic theorem
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Law_of_noncontradiction
Mathematical set formed from two given sets
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Cartesian_product
Collection of mathematical objects
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Set_(mathematics)
Set of all things that may be the input of a mathematical function
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Domain_of_a_function
Fundamental theorem in mathematical logic
contrast with the direct meaning of the notion of semantic consequence, that quantifies over all structures in a particular language, which is clearly not a recursive
Gödel's_completeness_theorem
Symbol representing a mathematical object
either represents an unspecified constant of the theory, or is being quantified over. The earliest uses of an "unknown quantity" date back to at least
Variable_(mathematics)
Set whose elements all belong to another set
included (or contained) in B. A k-subset is a subset with k elements. When quantified, A ⊆ B {\displaystyle A\subseteq B} is represented as ∀ x ( x ∈ A ⇒ x
Subset
Yes/no problem in computer science
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Decision_problem
Standard system of axiomatic set theory
{\displaystyle \lnot } , ∧ {\displaystyle \land } , ∨ {\displaystyle \lor } The quantifier symbols ∀ {\displaystyle \forall } , ∃ {\displaystyle \exists } The equality
Zermelo–Fraenkel_set_theory
3-volume treatise on mathematics, 1910–1913
(τ1,...,τm,σ1,...,σn) with the set of sequences of n quantifiers (∀ or ∃) indicating which quantifier should be applied to each variable σi. (One can vary
Principia_Mathematica
Subfield of mathematics
of quantifier elimination can be used to show that definable sets in particular theories cannot be too complicated. Tarski established quantifier elimination
Mathematical_logic
Mathematical set containing all objects
most versions of this theory do allow the use of quantifiers over all sets (see universal quantifier). One way of allowing an object that behaves similarly
Universal_set
Value indicating the relation of a proposition to truth
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Truth_value
Mathematical set containing no elements
heretofore obtained by set theory can just as easily be obtained by plural quantification over individuals, without reifying sets as singular entities having
Empty_set
Relationship where one statement follows from another
possibility. 'It is necessary that' is often expressed as a universal quantifier over possible worlds, so that the accounts above translate as: Γ {\displaystyle
Logical_consequence
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
Attempt to persuade or to determine the truth of a conclusion
quantificational logic Existential Illicit conversion Proof by example Quantifier shift Syllogistic fallacy Affirmative conclusion from a negative premise
Argument
Proof in set theory
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Cantor's_diagonal_argument
Diagram that shows all possible logical relations between a collection of sets
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Venn_diagram
Subfield of automated reasoning and mathematical logic
Mathematical induction Binary decision diagrams DPLL Higher-order unification Quantifier elimination Large language models Alt-Ergo Automath CVC E IsaPlanner LCF
Automated_theorem_proving
Function, homomorphism, or morphism
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Map_(mathematics)
Mathematical operation with two operands
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Binary_operation
Study of computable functions and Turing degrees
arithmetical hierarchy by permitting quantification over sets of natural numbers in addition to quantification over individual numbers. These areas are
Computability_theory
Yes-or-no question that cannot ever be solved by a computer
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Undecidable_problem
Function that preserves distinctness
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Injective_function
Subset of a function's codomain
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Range_of_a_function
Set of elements in any of some sets
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Union_(set_theory)
Set of elements common to all of some sets
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Intersection_(set_theory)
Theory of truth in the philosophy of language
truth conditions of complex sentences (built up from connectives and quantifiers) can be reduced to the truth conditions of their constituents. The simplest
Semantic_theory_of_truth
Mathematical set that can be enumerated
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Countable_set
Logical principle
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Law_of_excluded_middle
Non-contradiction of a theory
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Consistency
Theorem for proving more complex theorems
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Lemma_(mathematics)
Characteristic of some logical systems
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Completeness_(logic)
Set of the elements not in a given subset
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Complement_(set_theory)
Axiomatic logical system
arithmetic). Variables not bound by an existential quantifier are bound by an implicit universal quantifier. Sx ≠ 0 0 is not the successor of any number. (Sx
Robinson_arithmetic
Theorem that arithmetical truth cannot be defined in arithmetic
by the first-order Peano axioms. This is a "first-order" theory: the quantifiers extend over natural numbers, but not over sets or functions of natural
Tarski's undefinability theorem
Tarski's_undefinability_theorem
Approach to logic
"Procrustean," employing an artificial language of function and argument, quantifier, and bound variable. Suffers from theoretical problems, probably the most
Term_logic
Symbol representing a property or relation in logic
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Predicate_(logic)
Mathematical model for deduction or proof systems
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Formal_system
Study of the semantics, or interpretations, of formal and natural languages
Aristotle's syllogisms, but with the generality of modern logics based on the quantifier. The main modern approaches to semantics for formal languages are the
Semantics_(logic)
Mathematical function such that every output has at least one input
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Surjective_function
Class of formal logics
capable of expressing Aristotle's logic as a special case. It explains the quantifiers in terms of mathematical functions. It was also the first logic capable
Classical_logic
Type of logical argument that applies deductive reasoning
statements that are not provided for in syllogism as well) by the use of quantifiers and variables. A noteworthy exception is the logic developed in Bernard
Syllogism
Target set of a mathematical function
this case the matrices with rank 2) but many do not, instead mapping into some smaller subspace (the matrices with rank 1 or 0). Take for example the
Codomain
Size of a possibly infinite set
have the least rank, then it will work (this is a trick due to Dana Scott: it works because the collection of objects with any given rank is a set). Some
Cardinal_number
Any one of the distinct objects that make up a set in set theory
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Element_of_a_set
Whether a decision problem has an effective method to derive the answer
theory of trees (see S2S). Methods used to establish decidability include quantifier elimination, model completeness, and the Łoś–Vaught test. Some undecidable
Decidability_(logic)
Symbolic description of a mathematical object
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Expression_(mathematics)
Complexity class used to classify decision problems
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
NP_(complexity)
Measure of algorithmic complexity
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Kolmogorov_complexity
Additional mathematical object
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Mathematical_structure
Axiom of set theory
axiom of choice. Given an ordinal parameter α ≥ ω+2 – for every set S with rank less than α, S is well-orderable. Given an ordinal parameter α ≥ 1 – for
Axiom_of_choice
Form of second-order logic
fragment of second-order logic where the second-order quantification is limited to quantification over sets. It is particularly important in the logic
Monadic_second-order_logic
Input to a mathematical function
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Argument_of_a_function
Sequence of words formed by specific rules
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Formal_language
In mathematics, a statement that has been proven
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Theorem
In logic, a statement which is always true
tautology can be extended to sentences in predicate logic, which may contain quantifiers—a feature absent from sentences of propositional logic. Indeed, in propositional
Tautology_(logic)
Undecidability of equality of real numbers
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Richardson's_theorem
Ordered listing of items in collection
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Enumeration
Reasoning for mathematical statements
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Mathematical_proof
Mathematical logic concept
their existential impact is dependent upon further propositions where quantification existence is instantiated (existential instantiation), not on the hypothetical
Contraposition
Concept in mathematical logic
\{\leftrightarrow \}} is functionally complete, but this only works if quantification over propositions (a device from second-order logic) is used, so it
Functional_completeness
Term in logic and deductive reasoning
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Soundness
Mathematical logic concept
called "primitive recursive arithmetic with the additional principle of quantifier-free transfinite induction up to the ordinal ε0", is neither weaker nor
Gentzen's_consistency_proof
Set that is not a finite set
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Infinite_set
One-to-one correspondence
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
Bijection
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
Obsolete theories in natural history and natural philosophy
↔ = Predicate functional variable propositional variable Proof Quantifier ∃ ! ∀ rank Sentence atomic spectrum Signature String Substitution Symbol function
List of superseded scientific theories
List_of_superseded_scientific_theories
QUANTIFIER RANK
QUANTIFIER RANK
Boy/Male
Indian
Respect, Rank
Girl/Female
Tamil
Rankini | ரநà¯à®•ீநீ
Rankini | ரநà¯à®•ீநீ
Boy/Male
Indian
Respect, Rank
Surname or Lastname
Irish
Irish : shortened form of McMeans.English : habitational names from East and West Meon in Hampshire, which take their names from the Meon river. The word is Celtic but of uncertain meaning, possibly ‘swift one’.nickname from Middle English mene ‘inferior in rank’, ‘of low degree’ (from Old English gemǣne), or from Middle English mene ‘moderate in behaviour’ (from Old French mëen, mean).
Girl/Female
Hindu, Indian, Sanskrit, Traditional
Invested with Divine Quantities
Girl/Female
Muslim
Female servant of lower rank
Surname or Lastname
English
English : occupational name for a wool-packer, from an agent derivative of Middle English pack(en) ‘to pack’.German and Jewish (Ashkenazic) : from an agent derivative of Middle Low German pak, German Pack ‘package’, hence an occupational name for a wholesale trader, especially in the wool trade, one who sold goods in large packages rather than broken down into smaller quantities, or alternatively one who rode or drove pack animals to transport goods.
Surname or Lastname
German
German : from Middle High German kellaere ‘cellarman’, ‘cellar master’ (Latin cellarius, denoting the keeper of the cella ‘store chamber’, ‘pantry’). Hence an occupational name for the overseer of the stores, accounts, or household in general in, for example, a monastery or castle. Kellers were important as trusted stewards in a great household, and in some cases were promoted to ministerial rank. The surname is widespread throughout central Europe.English : either an occupational name for a maker of caps or cauls, from Middle English kellere, or an occupational name for an executioner, from Old English cwellere.Irish : reduced form of Kelleher.Scottish : variant of Keillor.
Surname or Lastname
English
English : regional name from the coastal district of eastern Yorkshire (now Humberside), the origin of which is probably Old Norse hǫldr, within the Danelaw (the region of pre-conquest England where Danish rule and custom was dominant) a rank of feudal nobility immediately below that of earl, + nes ‘nose’, ‘headland’.
Surname or Lastname
English
English : originally, like most of the English names derived from the ranks of nobility, either a nickname or an occupational name for a servant employed in a noble household. The vocabulary word is a native one, from Old English eorl ‘nobleman’, and in the Middle Ages was often used as an equivalent of Norman Count.
Boy/Male
Tamil
King of poor
Girl/Female
Tamil
Light, Beauty, Prosperity, Rank, Power, Steel construction company
Surname or Lastname
English
English : from Old Norse hǫldr, within the Danelaw (the region of pre-conquest England where Danish rule and custom was dominant) a rank of feudal nobility immediately below that of earl.German : nickname from Middle High German holde ‘friend’ or ‘servant’, ‘vassal’.German (Höld) : variant of Held ‘hero’ (see Held 1), found chiefly in Bavaria.
Surname or Lastname
English
English : status name from Middle English frankelin ‘franklin’, a technical term of the feudal system, from Anglo-Norman French franc ‘free’ (see Frank 2) + the Germanic suffix -ling. The status of the franklin varied somewhat according to time and place in medieval England; in general, he was a free man and a holder of fairly extensive areas of land, a gentleman ranked above the main body of minor freeholders but below a knight or a member of the nobility.The surname is also borne by Jews, in which case it represents an Americanized form of one or more like-sounding Jewish surnames.In modern times, this has been used to Americanize François, the French form of Francis.The American statesman and scientist Benjamin Franklin (1706–90) was the son of Josiah Franklin, a chandler (dealer in soap and candles), who had emigrated in about 1682 from Ecton, Northamptonshire, to Boston, MA, where his son was born.
Surname or Lastname
English
English : occupational name for a hunter, Old English hunta (a primary derivative of huntian ‘to hunt’). The term was used not only of the hunting on horseback of game such as stags and wild boars, which in the Middle Ages was a pursuit restricted to the ranks of the nobility, but also to much humbler forms of pursuit such as bird catching and poaching for food. The word seems also to have been used as an Old English personal name and to have survived into the Middle Ages as an occasional personal name. Compare Huntington and Huntley.Irish : in some cases (in Ulster) of English origin, but more commonly used as a quasi-translation of various Irish surnames such as Ó Fiaich (see Fee).Possibly an Americanized spelling of German Hundt.
Surname or Lastname
English
English : from the Norman personal name Malg(i)er, Maug(i)er, composed of the Germanic elements madal ‘council’ + gÄr, gÄ“er ‘spear’. The surname is now also established in Ulster.Hungarian : from a shortened form of majorosgazda (see Majoros), or a derivative of German Meyer 1.Polish, Czech, and Slovak : from the military rank major (derived from Latin maior ‘greater’), a word related to English mayor and the German surname Meyer.Catalan and southern French (Occitan) : from major ‘major’ (Latin maior ‘greater’), denoting a prominent or important person or the first-born son of a family.Jewish (eastern Ashkenazic) : variant of Meyer 2.
Surname or Lastname
English
English : of uncertain etymology. From the 16th to the 19th century, the English vocabulary word ensign denoted a junior rank of infantry officer, which may be the source of the surname.James Ensign (known as ‘the Puritan’) was born in Chilham, Kent, England, in 1606 and came to Hartford, CT, before 1644.
Girl/Female
Indian
Lady of rank, And honorific
Boy/Male
Muslim
The exalter, To elevate rank
Surname or Lastname
English
English : nickname for a powerfully built man or someone of violent emotions, from the Middle English adjective rank (Old English ranc ‘proud’, ‘rebellious’).English : from a medieval personal name, a back-formation from the diminutive Rankin.South German : variant of Rang 2.German : nickname either for an agile person, from Middle High German ranc ‘quick turn’, or in some instances for someone who was tall and thin, from Low German rank. In some cases the surname may have been from a personal name formed with this element.Czech : from a pet form of a personal name, which could be either Slavic Ranožir or Germanic Randolf (see Randolph).Swedish and Danish : nickname from rank ‘erect’, ‘upright’, ‘straight’.
QUANTIFIER RANK
QUANTIFIER RANK
Boy/Male
British, English
Form of Milton; From the Mill Town
Boy/Male
Australian, Celtic, French, Greek, Irish, Romanian
Moon Man; God is Good; Gift from God
Boy/Male
Muslim/Islamic
Thankful
Girl/Female
British, English
Noble; Shining
Boy/Male
Indian, Sanskrit
Attraction; Handsome; Charming
Boy/Male
Muslim
Name of a saint
Girl/Female
English Spanish
Noble woman.
Girl/Female
English
Feminine.
Boy/Male
British, English
Manservant; Young Man
Boy/Male
Indian, Sanskrit
Purified
QUANTIFIER RANK
QUANTIFIER RANK
QUANTIFIER RANK
QUANTIFIER RANK
QUANTIFIER RANK
a.
Greater than any assignable quantity of the same kind; -- said of certain quantities.
v. t.
To eliminate, as unknown quantities.
n.
To swallow; especially, to swallow with greediness, or in large mouthfuls or quantities.
n.
Measurement of the quantities of heat in bodies.
v. t.
To swallow with greediness or in large quantities; to devour.
adv.
By infinitesimals; in infinitely small quantities; in an infinitesimal degree.
n.
That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
v. t.
To render rational; to free from radical signs or quantities.
n.
One of two or more quantities which have no common measure.
a.
Having large hands, Fig.: Taking, or giving, in large quantities; rapacious or bountiful.
n.
A colorless crystalline alkaloid obtained in small quantities from opium.
a.
Regularly produced or manufactured in large quantities; belonging to wholesale traffic; principal; chief.
n.
An alkaloid existing in small quantities in opium.
n.
One who, or that which, qualifies; that which modifies, reduces, tempers or restrains.
pl.
of Quantity
v. t.
To drink or imbibe in small quantities; especially, to take in with the lips in small quantities, as a liquid; as, to sip tea.
a.
Introduced or determined by interpolation; as, interpolated quantities or numbers.
v. t.
To sell in large quantities, as stock; to get rid of.
n.
Large draughts of liquor; drink taken in excessive quantities.
a.
A branch of algebra which relates to the direct search for unknown quantities.