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Consistency of the axioms of arithmetic
In mathematics, Hilbert's second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic is consistent
Hilbert's_second_problem
23 mathematical problems stated in 1900
Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. They were all unsolved at the time, and several
Hilbert's_problems
On solvability of Diophantine equations
Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900. It is the challenge
Hilbert's_tenth_problem
On dissections between polyhedra
The third of Hilbert's problems presented in 1900 was the first to be solved. The problem asks the following: Given any two polyhedra of equal volume,
Hilbert's_third_problem
Mathematical problems related to differential equations
In mathematics, Riemann–Hilbert problems, named after Bernhard Riemann and David Hilbert, are a class of problems that arise in the study of differential
Riemann–Hilbert_problem
German mathematician (1862–1943)
_{j}}({\vec {x}})q_{j}({\vec {x}})} . This result is known as the Hilbert root theorem, or "Hilberts Nullstellensatz" in German. He also proved that the correspondence
David_Hilbert
On transcendence of certain numbers
Hilbert's seventh problem is one of David Hilbert's list of open mathematical problems posed in 1900. It concerns the irrationality and transcendence of
Hilbert's_seventh_problem
Limitative results in mathematical logic
he turned to a second problem for his habilitation. His original goal was to obtain a positive solution to Hilbert's second problem. At the time, theories
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
On lattices and sphere packing in Euclidean space
Hilbert's eighteenth problem is one of the 23 problems set out in a celebrated list compiled in 1900 by mathematician David Hilbert. It asks three separate
Hilbert's_eighteenth_problem
On uniformization of analytic relations
Hilbert's twenty-second problem is the penultimate entry in the celebrated list of 23 Hilbert problems compiled in 1900 by David Hilbert. It entails the
Hilbert's twenty-second problem
Hilbert's_twenty-second_problem
On topology of algebraic curves and surfaces
Hilbert's 16th problem was posed by David Hilbert at the Paris conference of the International Congress of Mathematicians in 1900, as part of his list
Hilbert's_sixteenth_problem
When are solutions in the calculus of variations analytic
Hilbert's nineteenth problem is one of the 23 Hilbert problems, set out in a list compiled by David Hilbert in 1900. It asks whether the solutions of
Hilbert's_nineteenth_problem
On solutions of 7th-degree equations
Hilbert's thirteenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It entails proving whether
Hilbert's_thirteenth_problem
Impossible task in computing
Entscheidungsproblem (German for 'decision problem'; pronounced [ɛntˈʃaɪ̯dʊŋspʁoˌbleːm]) is a challenge posed by David Hilbert and Wilhelm Ackermann in 1928. It
Entscheidungsproblem
2008 British TV series or programme
had formulated the Incompleteness Theorem based on his study of Hilbert's second problem: This statement cannot be proved Using a code based on prime numbers
The_Story_of_Maths
Proposition in mathematical logic
problems in set theory, and establishing its truth or falsehood was the first of Hilbert's 23 problems presented in 1900. The answer to this problem is
Continuum_hypothesis
Classify quadratic forms over algebraic number fields
Hilbert's eleventh problem is one of David Hilbert's list of open mathematical problems posed at the Second International Congress of Mathematicians in
Hilbert's_eleventh_problem
Type of vector space in math
plays a significant role in optimization problems and other aspects of the theory. An element of a Hilbert space can be uniquely specified by its coordinates
Hilbert_space
Logical principle
debate had a profound effect on Hilbert. Reid indicates that Hilbert's second problem (one of Hilbert's problems from the Second International Conference in
Law_of_excluded_middle
Problem that can be possibly solved via mathematics
planets in the Solar System, or a problem of a more abstract nature, such as Hilbert's problems. It can also be a problem referring to the nature of mathematics
Mathematical_problem
Problem in computer science
halting problem which emerged in the 1950s. 1900 (1900): David Hilbert poses his "23 questions" (now known as Hilbert's problems) at the Second International
Halting_problem
Thought experiment of infinite sets
Hilbert's paradox of the Grand Hotel (colloquially the Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive
Hilbert's paradox of the Grand Hotel
Hilbert's_paradox_of_the_Grand_Hotel
System of formal deduction in logic
a Hilbert system, sometimes called Hilbert calculus, Hilbert-style system, Hilbert-style proof system, Hilbert-style deductive system or Hilbert–Ackermann
Hilbert_system
all equal to 1 or −1? Hilbert's fifteenth problem: put Schubert calculus on a rigorous foundation. Hilbert's sixteenth problem: what are the possible
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Foundational controversy in twentieth-century mathematics
solvability of every mathematical problem." This Third Insight is referring to Hilbert's second problem and Hilbert's ongoing attempt to axiomatize all
Brouwer–Hilbert_controversy
3-volume treatise on mathematics, 1910–1913
not been established for Principia's axioms of set theory. (See Hilbert's second problem.) Russell and Whitehead suspected that the system in PM is incomplete:
Principia_Mathematica
Study of mathematics itself
white. The Entscheidungsproblem (German for 'decision problem') is a challenge posed by David Hilbert in 1928. The Entscheidungsproblem asks for an algorithm
Metamathematics
Mathematical formal infinite series
Hahn embedding theorem and then studied by him in relation to Hilbert's second problem. The field of Hahn series K [ [ T Γ ] ] {\displaystyle K\left[\left[T^{\Gamma
Hahn_series
Conjecture on zeros of the zeta function
make up Hilbert's eighth problem in David Hilbert's list of twenty-three unsolved problems; it is also one of the Millennium Prize Problems of the Clay
Riemann_hypothesis
Non-contradiction of a theory
Equiconsistency – Being equally consistent Hilbert's problems – 23 mathematical problems stated in 1900 Hilbert's second problem – Consistency of the axioms of arithmetic
Consistency
Attempt to formalize all of mathematics, based on a finite set of axioms
In mathematics, Hilbert's program, formulated by German mathematician David Hilbert in the early 1920s, was a proposed solution to the foundational crisis
Hilbert's_program
Math theorem about sphere packing
1900, David Hilbert included it in his list of twenty three unsolved problems of mathematics—it forms part of Hilbert's eighteenth problem. The next step
Kepler_conjecture
Study of geometries as axiomatic systems
period after David Hilbert's famous address on unsolved problems, remarked that his colleagues had already solved Hilbert's second problem. At the University
Foundations_of_geometry
Yes-or-no question that cannot ever be solved by a computer
theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an algorithm
Undecidable_problem
operators on Hilbert spaces. In the theory of partial differential equations, it is very useful in solving elliptic boundary value problems. Let (H, ⟨
Hilbert–Schmidt_theorem
Partially unsolved problem in mathematics
In July 2023, a second and independent preprint of Neville appeared on arXiv, claiming the solution of the problem for separable Hilbert spaces.[non-primary
Invariant_subspace_problem
Basis for Euclidean geometry
Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as
Hilbert's_axioms
Theorem in formal logic
to the strong normalization of the Girard/Reynold's System F. Hilbert's second problem Dag Prawitz, 1968. Hauptsatz for higher order logic. Journal of
Takeuti's_conjecture
Basic framework of mathematics
axiom of choice is unprovable in ZF even without urelements. 1970: Hilbert's tenth problem is proven unsolvable: there is no recursive solution to decide
Foundations_of_mathematics
Question about single-shape aperiodic tiling
problem can be seen as a natural extension of the second part of Hilbert's eighteenth problem, which asks for a single polyhedron that tiles Euclidean 3-space
Einstein_problem
Complexity class used to classify decision problems
second phase consists of a deterministic algorithm that verifies whether the guess is a solution to the problem. The complexity class P (all problems
NP_(complexity)
Concept in quantum information theory
In quantum information theory, a set of bases in Hilbert space Cd are said to be mutually unbiased if when a system is prepared in an eigenstate of one
Mutually_unbiased_bases
Millennium Prize Problem
existence and mass gap problem is an unsolved problem in mathematical physics and mathematics, and one of the seven Millennium Prize Problems defined by the Clay
Yang–Mills existence and mass gap
Yang–Mills_existence_and_mass_gap
Yes/no problem in computer science
decision problem is a computational problem that can be posed as a yes–no question on a set of input values. An example of a decision problem is deciding
Decision_problem
value problems for the Laplacian in a bounded domain in the plane with smooth boundary. The methods use the theory of bounded operators on Hilbert space
Sobolev spaces for planar domains
Sobolev_spaces_for_planar_domains
Paradox in set theory
incompleteness theorems – Limitative results in mathematical logic Hilbert's first problem – Proposition in mathematical logicPages displaying short descriptions
Russell's_paradox
Russian mathematician and computer scientist
computer scientist. He is best known for his negative solution of Hilbert's tenth problem (Matiyasevich's theorem), which was presented in his 1972 doctoral
Yuri_Matiyasevich
Unsolved problem in computer science
Unsolved problem in computer science If the solution to a problem can be checked in polynomial time, must the problem be solvable in polynomial time? More
P_versus_NP_problem
Class of ordinary differential equations
In mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form d d x [ p ( x ) d y
Sturm–Liouville_theory
Abstract mathematics problem
paradox (also known as the balls and vase problem or the ping pong ball problem) is a hypothetical problem in abstract mathematics and logic designed
Ross–Littlewood_paradox
Polynomial ideals are finitely generated
was stated and proved by David Hilbert in 1890 in his seminal article on invariant theory, where he solved several problems on invariants. In this article
Hilbert's_basis_theorem
Computational problems no algorithm can solve
homeomorphic, or if a 5-manifold is homeomorphic to S5. Hilbert's tenth problem: the problem of deciding whether a Diophantine equation (multivariable
List_of_undecidable_problems
Subfield of mathematics
these problems shaped the direction of mathematical logic, as did the effort to resolve Hilbert's Entscheidungsproblem, posed in 1928. This problem asked
Mathematical_logic
In functional analysis, a Hilbert space
kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous linear functional. Specifically, a Hilbert space
Reproducing kernel Hilbert space
Reproducing_kernel_Hilbert_space
Unsolved problem in mathematics
Unsolved problem in mathematics Is every sufficiently large sequence of square numbers with constant second difference necessarily a sequence of consecutive
Büchi's_problem
Proof by Alan Turing
to the Entscheidungsproblem". It was the second proof (after Church's theorem) of the negation of Hilbert's Entscheidungsproblem; that is, the conjecture
Turing's_proof
Existence of values making formula true
validity problem was posed firstly by David Hilbert, as the so-called Entscheidungsproblem. The universal validity of a formula is a semi-decidable problem by
Satisfiability
American mathematician and educator (1921–2008)
widely varied areas of mathematics, including the solution of Hilbert's fifth problem, and was a leader in reform and innovation in mathematics teaching
Andrew_M._Gleason
to child with the most famous example being the Bernoulli family. This second generation phenomenon also holds in physics but in that field the Nobel
List of second-generation mathematicians
List_of_second-generation_mathematicians
Problem in physics and celestial mechanics
In physics, the n-body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally
N-body_problem
Sum of inverse squares of natural numbers
The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed
Basel_problem
Type of measurement in quantum mechanics
discovered with Hilbert's twelfth problem. Unsolved problem in mathematics Do SIC-POVMs exist in all dimensions? More unsolved problems in mathematics
SIC-POVM
Mathematical-logic system based on functions
computable function can decide the question. This was historically the first problem for which undecidability could be proven. As usual for such a proof, computable
Lambda_calculus
Computation model defining an abstract machine
recognized… — Gandy With regard to Hilbert's problems posed by the famous mathematician David Hilbert in 1900, an aspect of problem #10 had been floating about
Turing_machine
Statement that is taken to be true
vectors ('states') in a separable Hilbert space, and physical quantities as linear operators that act in this Hilbert space. This approach is fully falsifiable
Axiom
unsolved problems in mathematics, these include: The sixth problem of 1900 Hilbert's problems about the axiomatization of physics, the problem is either
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Swedish mathematician and concert pianist
consider Hilbert's fifth problem in the spirit of functional analysis. In two years, 1969–1970, Enflo published five papers on Hilbert's fifth problem; these
Per_Enflo
Unsolved problem in mathematics
Unsolved problem in mathematics Is every finite group the Galois group of a Galois extension of the rational numbers? More unsolved problems in mathematics
Inverse_Galois_problem
Mathematical problem
In mathematical logic, Tarski's high school algebra problem was a question posed by Alfred Tarski. It asks whether there are identities involving addition
Tarski's high school algebra problem
Tarski's_high_school_algebra_problem
Sequence of operations for a task
concept of algorithms began with attempts to solve David Hilbert's Entscheidungsproblem (decision problem). Later formalizations were framed as attempts to define
Algorithm
Relation between algebraic varieties and polynomial ideals
proven by David Hilbert in his second major paper on invariant theory in 1893 (following his seminal 1890 paper in which he proved Hilbert's basis theorem)
Hilbert's_Nullstellensatz
Study of optimal transportation and allocation of resources
to the study of optimal transportation and allocation of resources. The problem was formalized by the French mathematician Gaspard Monge in 1781. In the
Transportation theory (mathematics)
Transportation_theory_(mathematics)
Even integers as sums of two primes
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural
Goldbach's_conjecture
Hungarian and American mathematician and physicist (1903–1957)
"Hilbert's Sixth Problem: Mathematical Treatment of the Axioms of Physics". In Browder, Felix E. (ed.). Mathematical Developments Arising from Hilbert
John_von_Neumann
Numerical method for solving physical or engineering problems
differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis
Finite_element_method
American mathematician and Nobel Laureate (1928–2015)
equations resolved Hilbert's nineteenth problem on regularity in the calculus of variations, which had been a well-known open problem for almost 60 years
John_Forbes_Nash_Jr.
Problem of solving a partial differential equation subject to prescribed boundary values
In mathematics, a Dirichlet problem asks for a function which solves a specified partial differential equation (PDE) in the interior of a given region
Dirichlet_problem
Differential calculus on function spaces
foundation. The 20th and the 23rd Hilbert problem published in 1900 encouraged further development. In the 20th century David Hilbert, Oskar Bolza, Gilbert Ames
Calculus_of_variations
Description of a quantum-mechanical system
Another partial differential equation, the Klein–Gordon equation, led to a problem with probability density even though it was a relativistic wave equation
Schrödinger_equation
R-tree variant and index for multidimensional objects
utilization is ≈100%; this structure is called a packed Hilbert R-tree. The second index, called a Dynamic Hilbert R-tree, supports insertions and deletions, and
Hilbert_R-tree
Axioms for the natural numbers
1900, David Hilbert posed the problem of proving their consistency using only finitistic methods as the second of his twenty-three problems. In 1931, Kurt
Peano_axioms
Mathematical logic concept
result on Hilbert's plan to prove the consistency of mathematics. It is likely that all mathematicians ultimately would have accepted Hilbert's approach
Gentzen's_consistency_proof
Function that preserves distinctness
paradox Cantor's theorem – paradox – diagonal argument Compactness Halting problem Lindström's Löwenheim–Skolem Russell's paradox Logics Traditional Classical
Injective_function
Hungarian mathematician (1913–1996)
mathematical conjectures of the 20th century. Erdős pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis
Paul_Erdős
On polynomial rings over fields
mathematics, Hilbert's syzygy theorem is one of the three fundamental theorems about polynomial rings over fields, first proved by David Hilbert in 1890,
Hilbert's_syzygy_theorem
Problems which attempt to find the most efficient way to pack objects into containers
infinite-dimensional Hilbert space with no restrictions. It is worth describing in detail here, to give a flavor of the general problem. In this case, a configuration
Packing_problems
Proof method in mathematical logic
paradox Cantor's theorem – paradox – diagonal argument Compactness Halting problem Lindström's Löwenheim–Skolem Russell's paradox Logics Traditional Classical
Structural_induction
Partial differential equations with data on two intersecting characteristics
The Goursat problem (also called the Darboux problem) is a boundary value problem for a second-order hyperbolic partial differential equation (PDE) in
Goursat_problem
Omission of operations and relations of a structure
paradox Cantor's theorem – paradox – diagonal argument Compactness Halting problem Lindström's Löwenheim–Skolem Russell's paradox Logics Traditional Classical
Reduct
Category of mathematical proof
an impossibility theorem is a theorem that demonstrates a problem or general set of problems cannot be solved. These are also known as proofs of impossibility
Proof_of_impossibility
Formulation of the quantum many-body problem
Second quantization, also referred to as occupation number representation, is a formalism used to describe and analyze quantum many-body systems. In quantum
Second_quantization
σ-weak topology, is a topology on B(H), the space of bounded operators on a Hilbert space H. B(H) admits a predual B*(H), the trace class operators on H. The
Ultraweak_topology
acquire the special definition above. Dilation (operator theory) P. Halmos, A Hilbert Space Problem Book, Second Edition, Springer-Verlag, 1982. v t e
Compression (functional analysis)
Compression_(functional_analysis)
Form of logic that allows quantification over predicates
and mathematics, second-order logic is an extension of first-order logic, which itself is an extension of propositional logic. Second-order logic is in
Second-order_logic
Book by Wilhelm Ackermann
Mathematical Logic is the 1950 American translation of the 1938 second edition of David Hilbert's and Wilhelm Ackermann's classic text Grundzüge der theoretischen
Principles of Mathematical Logic
Principles_of_Mathematical_Logic
Measure of algorithmic complexity
diagonal argument, Gödel's incompleteness theorem, and Turing's halting problem. In particular, no program P computing a lower bound for each text's Kolmogorov
Kolmogorov_complexity
Form of second-order logic
satisfiability problem for monadic second-order logic is undecidable in general because this logic subsumes first-order logic. The monadic second-order theory
Monadic_second-order_logic
Motivating example in mathematical study
considerations of Hilbert space theory. The obstacle problem can be reformulated as a standard problem in the theory of variational inequalities on Hilbert spaces
Obstacle_problem
American mathematician
he placed second in the Intel Science Talent Search competition, with a generalization to rectifiable curves of the carpenter's rule problem for polygons
John_Pardon
paradox Cantor's theorem – paradox – diagonal argument Compactness Halting problem Lindström's Löwenheim–Skolem Russell's paradox Logics Traditional Classical
List_of_formal_systems
HILBERTS SECOND-PROBLEM
HILBERTS SECOND-PROBLEM
Surname or Lastname
English
English : variant of Hilbert.
Male
Scottish
Variant spelling of Scottish Gaelic Ailbeart, AILBERT means "bright nobility."
Boy/Male
English
Son of Gilbert.
Male
English
English form of Latin Filbertus, FILBERT means "very bright."
Male
English
English form of Old French Gilebert, GILBERT means "pledge-bright."Â
Female
French
Variant spelling of French Gileberte, GILBERTE means "pledge-bright."
Surname or Lastname
English, French, Dutch, and German
English, French, Dutch, and German : from a Germanic personal name composed of the elements hild ‘strife’, ‘battle’ + berht ‘bright’, ‘famous’.
Male
Spanish
Spanish form of Latin Gilebertus, GILBERTO means "pledge-bright."
Male
French
Norman French form of German Hilbert, ILBERT means "battle-bright."
Female
Spanish
Feminine form of Spanish Gilberto, GILBERTA means "pledge-bright."
Surname or Lastname
English
English : from a Middle English personal name Holbert, which according to Reaney is probably a survival of an unrecorded Old English name Holdbeorht, composed of the Germanic elements hold ‘friendly’, ‘gracious’, or ‘loyal’ + berht ‘bright’, ‘famous’.
Male
English
Variant spelling of Middle English Estmond, ESMOND means "gracious protector."Â
Male
German
Contracted form of German Hildebert, HILBERT means "battle-bright."
Male
French
Variant spelling of French Philibert, PHILBERT means "very bright."
Surname or Lastname
English (of Norman origin), French, and North German
English (of Norman origin), French, and North German : from Giselbert, a Norman personal name composed of the Germanic elements gīsil ‘pledge’, ‘hostage’, ‘noble youth’ (see Giesel) + berht ‘bright’, ‘famous’. This personal name enjoyed considerable popularity in England during the Middle Ages, partly as a result of the fame of St. Gilbert of Sempringham (1085–1189), the founder of the only native English monastic order.Jewish (Ashkenazic) : Americanized form of one or more like-sounding Jewish surnames.The Devon family of Gilbert can be traced to Geoffrey Gilbert (died 1349), who represented Totnes in Parliament in 1326. His descendants included Sir Humphrey Gilbert (died 1583), who discovered Newfoundland.
Surname or Lastname
English and German
English and German : from a Germanic personal name, Holbert, Hulbert, composed of the elements hold, huld ‘friendly’, ‘gracious’ + berht ‘bright’, ‘famous’.German (Hülbert) : topographic name for someone living by a pool or small pond, from Old High German huliwa ‘pool’.
Boy/Male
American, Australian, French, German, Portuguese, Spanish, Swiss, Teutonic
Illustrious Pledge; Shining Pledge; Pledge; Bright Promise; Spanish Form of Gilbert Hostage
Male
Italian
Italian form of Latin Filbertus, FILBERTO means "very bright."
Female
English
Anglicized form of Scottish Gaelic Seònaid, SEONA means "God is gracious."
Male
English
Variant spelling of English Delbert, DILBERT means "bright nobility."
HILBERTS SECOND-PROBLEM
HILBERTS SECOND-PROBLEM
Boy/Male
Hebrew Russian
Twin.
Female
English
Short form of English Acacia, CACIA means "not evil."Â
Boy/Male
Gaelic English Anglo Saxon
Little blond one.
Boy/Male
African, American, Australian, British, Chinese, Christian, English, German, Greek, Irish, Latin
Merciful; Inventor of the Corn Mill; Servant; Soldier
Surname or Lastname
English
English : occupational name for a comber or carder of wool, from an agent derivative of Middle English tÅse(n) ‘to tease’.Americanized spelling of Hungarian TÅ‘zsér, an occupational name for a dealer or tradesman, tÅ‘zsér, especially one selling cattle.
Boy/Male
Hindu
King of the earth
Surname or Lastname
English and Scottish (of Norman origin)
English and Scottish (of Norman origin) : habitational name from a place named as having been the site of a battle, from Old French bataille ‘battle’. In some cases, this may be Battle in Sussex, site of the Battle of Hastings,A John Battle from Yorkshire, England, settled in 1654 on the Nansemond, a stream in VA. His descendants became prominent in NC and GA.
Girl/Female
Muslim
Ready for battle
Girl/Female
Arabic, Muslim
Appreciate
Male
Hebrew
(יִשְמָעֵ×ל) Hebrew name YISHMAEL means "God will hear." In the bible, this is the name of many characters, including a son of Abraham. The Anglicized form is Ishmael.
HILBERTS SECOND-PROBLEM
HILBERTS SECOND-PROBLEM
HILBERTS SECOND-PROBLEM
HILBERTS SECOND-PROBLEM
HILBERTS SECOND-PROBLEM
v. t.
A writing by which some act or event, or a number of acts or events, is recorded; a register; as, a record of the acts of the Hebrew kings; a record of the variations of temperature during a certain time; a family record.
a.
Being of the same kind as another that has preceded; another, like a protype; as, a second Cato; a second Troy; a second deluge.
a.
The sixtieth part of a minute of time or of a minute of space, that is, the second regular subdivision of the degree; as, sound moves about 1,140 English feet in a second; five minutes and ten seconds north of this place.
adv.
Secondly; in the second place.
a.
Having the power of second-sight.
n.
The second part in a concerted piece.
a.
Cutting; divivding into two parts; as, a secant line.
n.
A secdond trial, experiment, or test; a second judicial trial, as of an accused person.
n.
One who seconds or supports what another attempts, affirms, moves, or proposes; as, the seconder of an enterprise or of a motion.
adv.
In the second place.
n.
A sieve of filberts, -- about fifty pounds.
n.
That which is seen at a second view; a meaning beyond the literal sense; the second intention; a hidden signification.
a.
To follow or attend for the purpose of assisting; to support; to back; to act as the second of; to assist; to forward; to encourage.
a.
Of the rank or degree below the best highest; inferior; second-rate; as, a second-class house; a second-class passage.
prep.
Past, out of the reach or sphere of; further than; greater than; as, the patient was beyond medical aid; beyond one's strength.
a.
Of the second size, rank, quality, or value; as, a second-rate ship; second-rate cloth; a second-rate champion.
n.
A right of inheritance belonging to a second son; a property or possession so inherited.
n.
The second part in a concerted piece; -- often popularly applied to the alto.
n.
A unit for the measurement of small intervals of time, such that 1012 (ten trillion) of these units make one second.
imp. & p. p.
of Second