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Non-contradiction of a theory
deductive logic, a consistent theory is one that does not lead to a logical contradiction. A theory T {\displaystyle T} is consistent if there is no formula
Consistency
Mathematical theory
ω-consistent (or omega-consistent, or numerically segregative) theory is a theory (collection of sentences) that is not only (syntactically) consistent
Ω-consistent_theory
Theory of gravitation as curved spacetime
introduction of a number of alternative theories, general relativity continues to be the simplest theory consistent with experimental data. Reconciliation
General_relativity
Theory of subatomic structure
conjecture that all consistent versions of string theory are subsumed in a single framework known as M-theory. Studies of string theory have also yielded
String_theory
Field theory in physics that aims to unify the fundamental forces and particles
formulated a widely accepted, consistent theory that combines general relativity and quantum mechanics to form a theory of everything. Trying to combine
Unified_field_theory
Set of sentences in a formal language
syntactically consistent theories that are not satisfiable, such as ω-inconsistent theories. A complete consistent theory (or just a complete theory) is a consistent
Theory_(mathematical_logic)
Approximation method in quantum physics
the older literature, the Hartree–Fock method is also called the self-consistent field method (SCF). In deriving what is now called the Hartree equation
Hartree–Fock_method
Limitative results in mathematical logic
a theory is consistent if and only if it has a model. If one takes all statements in the language of Peano arithmetic as axioms, then this theory is
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Statistical estimator
In statistics, a consistent estimator or asymptotically consistent estimator is an estimator—a rule for computing estimates of a parameter θ0—having the
Consistent_estimator
Interpretation of quantum mechanics
In quantum mechanics, the consistent histories or simply "consistent quantum theory" interpretation generalizes the complementarity aspect of the conventional
Consistent_histories
Whether a decision problem has an effective method to derive the answer
are undecidable theories in propositional logic, although the set of validities (the smallest theory) is decidable. A consistent theory that has the property
Decidability_(logic)
Adolf Lindenbaum, states that any consistent theory of predicate logic can be extended to a complete consistent theory. The lemma is a special case of the
Lindenbaum's_lemma
Supposition or system of ideas intended to explain something
nature, made in a way consistent with the scientific method, and fulfilling the criteria required by modern science. Such theories are described in such
Theory
Hashing technique
web. This academic paper from 1997 in Symposium on Theory of Computing introduced the term "consistent hashing" as a way of distributing requests among
Consistent_hashing
Indian physicist
equations. He also introduced the Retarded gravitation theory which modifies Newtonian gravity to be consistent with special relativity by replacing the instantaneous
C._K._Raju
Theory of quantum gravity merging quantum mechanics and general relativity
operator and showed the existence of a mathematically consistent background-independent theory. The covariant, or "spin foam", version of the dynamics
Loop_quantum_gravity
Branch of mathematical logic
by Kurt Gödel's incompleteness theorems, which showed that any ω-consistent theory that is sufficiently strong to express certain simple arithmetic truths
Proof_theory
Interpretation of quantum mechanics
The de Broglie–Bohm theory, also known as the pilot wave theory, Bohmian mechanics, and the causal interpretation, is an interpretation of quantum mechanics
De_Broglie–Bohm_theory
Branch of physics
are mathematically incompatible in their standard formulations. A consistent theory of quantum gravity that reduces to both in the appropriate limits
Theoretical_physics
In mathematics, a statement that has been proven
proof theory, which allows proving general theorems about theorems and proofs. In particular, Gödel's incompleteness theorems show that every consistent theory
Theorem
Falsifiable explanation of natural phenomena
"supports" or is consistent with their hypothesis. Albert Einstein described two different types of scientific theories: "Constructive theories" and "principle
Scientific_theory
Theory of gravity by Albert Einstein
produce a complete and self-consistent theory of quantum gravity. In September 1905, Albert Einstein published his theory of special relativity, which
Introduction to general relativity
Introduction_to_general_relativity
Calculus on stochastic processes
of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes
Stochastic_calculus
Minimal standard model of ZFC
consistent theory must have a model, so even within the minimal model of set theory there are sets that are models of ZFC (assuming ZFC is consistent
Minimal_model_(set_theory)
Mathematical logician and philosopher
be disproved from the accepted Zermelo–Fraenkel set theory, assuming that its axioms are consistent. The former result opened the door for mathematicians
Kurt_Gödel
Description of gravity using discrete values
as M-theory, which would constitute a uniquely defined and consistent theory of quantum gravity. As presently understood, however, string theory admits
Quantum_gravity
Physical and science fiction concept
grounded in empirical evidence. Dirac's theory did not include gravitation and there remains no consistent theory that combines both quantum mechanics and
Anti-gravity
2021 book by Michio Kaku
final Grand Unified Theory and quantum gravity The God Equation with an 11-dimensional string theory as the only self-consistent theory that seems to fit
The_God_Equation
Type of heuristic in path-finding problems
problems in artificial intelligence, a heuristic function is said to be consistent, or monotone, if its estimate is always less than or equal to the estimated
Consistent_heuristic
Apparent contradiction in physical descriptions of the universe
completely consistent, although this is itself a philosophical assumption. When, as in fields such as quantum physics and relativity theory, existing assumptions
Physical_paradox
Interpretation of quantum mechanics
his many-worlds theory". In their detailed review of Everett's work, Osnaghi, Freitas, and Freire Jr. note that Everett consistently used quotes around
Many-worlds_interpretation
South African theoretical physicist (1928-2016)
central tool in the bootstrap program which sought to formulate a consistent theory of infinitely many particle types of increasing spin. Mandelstam was
Stanley_Mandelstam
Physical theory with fields invariant under the action of local "gauge" Lie groups
photons. The gauge anomaly, which must cancel in any consistent physical theory. In the electroweak theory this cancellation requires an equal number of quarks
Gauge_theory
Economic theory that asset prices fully reflect all available information
"bonkers", as the theory's originators were seduced by an "intellectually consistent theory that allowed them to do pretty mathematics [yet] the fundamentals
Efficient-market_hypothesis
Being equally consistent
"as consistent as each other". In general, it is not possible to prove the absolute consistency of a theory T. Instead we usually take a theory S, believed
Equiconsistency
Low energy theories not compatible with string theory
theory, which is hypothesized to be a consistent quantum theory of gravity. In other words, the Swampland is the set of consistent-looking theories with
Swampland_(physics)
Approximation of physical behavior
In physics and probability theory, mean-field theory (MFT) or self-consistent field theory studies the behavior of high-dimensional random (stochastic)
Mean-field_theory
Mental phenomenon of holding contradictory beliefs
or when new information challenges existing beliefs. According to this theory, when an action or idea is psychologically inconsistent with the other,
Cognitive_dissonance
Sociologist (1923–2005)
by those of Everett Hughes, which Freidson took and turned into a consistent theory. Freidson's 1961 paper, Patients view of Medical Practice explores
Eliot_Freidson
their convoluted and all-encompassing nature. Conspiracy theories tend to be internally consistent and correlate with each other; they are generally designed
List_of_conspiracy_theories
a fully consistent theory (perhaps as a quantum field theory)? Is spacetime fundamentally continuous or discrete? Would a consistent theory involve a
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Attempt to formalize all of mathematics, based on a finite set of axioms
proposed to ground all existing theories to a finite, complete set of axioms, and provide a proof that these axioms were consistent. Hilbert proposed that the
Hilbert's_program
Concept in mathematics
{\displaystyle T_{1}} . Note that a conservative extension of a consistent theory is consistent. If it were not, then by the principle of explosion, every
Conservative_extension
Proposed theories of gravity
\partial _{\nu }t\right]} t is the universal time coordinate. This theory is self-consistent and complete. But the motion of the Solar System through the universe
Alternatives to general relativity
Alternatives_to_general_relativity
Principles to describe the practical behavior of colors
schemes, and color mixes. Importantly, color theory relies upon objective standards in-order to be consistent in color mixing and presentation – i.e. to
Color_theory
Mathematical models of strategic interactions
for finding mutually consistent solutions for two-person zero-sum games. Subsequent work focused primarily on cooperative game theory, which analyzes optimal
Game_theory
Concept in mathematical logic
In mathematical logic, a theory is complete if it is consistent and for every closed formula in the theory's language, either that formula or its negation
Complete_theory
Topics referred to by the same term
Self-consistent mean field may be one of the following: Mean field theory, an approach to the many-body problem in physics and statistical mechanics Self-consistent
Self-consistent_mean_field
Framework of superstring theory
M-theory is a theory that unifies all consistent versions of superstring theory. Edward Witten first conjectured the existence of such a theory at a
M-theory
Proposition in mathematical logic
be added as an axiom to ZFC set theory, with the resulting theory being consistent if and only if ZFC is consistent. This independence was proved in
Continuum_hypothesis
Informal set theories
system (which includes most common axiomatic set theories) cannot be proved consistent from within the theory itself – unless it is actually inconsistent.
Naive_set_theory
Particular length or distance determined with the precision of a few orders of magnitude
decoupling of different length scales makes it possible to have a self-consistent theory that only describes the relevant length scales for a given problem
Length_scale
Fundamental cognitive orientation of an individual or society
equivalent to the axioms of the worldview considered as a logical or consistent theory. These basic beliefs cannot, by definition, be proven (in the logical
Worldview
Family of macroeconomic models
Stock-flow consistent models (SFC) are a family of non-equilibrium macroeconomic models based on a rigorous accounting framework, that seeks to guarantee
Stock-flow_consistent_model
Standard system of axiomatic set theory
In set theory, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in
Zermelo–Fraenkel_set_theory
Interdisciplinary study of systems
Systemtheorie is not directly consistent with an interpretation often put on 'general system theory,' to wit, that it is a (scientific) "theory of general systems
Systems_theory
Consistent eschatology (thorough-going eschatology) is a theory in theological and biblical studies that interprets Jesus "in exclusively eschatological
Consistent_eschatology
Axioms for the natural numbers
including research into fundamental questions of whether number theory is consistent and complete. The axiomatization of arithmetic provided by Peano
Peano_axioms
Social and linguistic theory of politeness
Politeness theory, proposed by Penelope Brown and Stephen Levinson, centers on the notion of politeness, construed as efforts to redress the affronts to
Politeness_theory
Branch of mathematics that studies sets
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any
Set_theory
Theory in particle physics
theory, which was plagued by problems of definition, was fundamentally inconsistent at high energies. Some believed that there is only one consistent
Bootstrap_model
Method in mathematical logic
incompleteness theorems not relying on the assumption that the theory being considered is ω-consistent (Smorynski 1977, p. 840; Mendelson 1977, p. 160). This
Rosser's_trick
Published papers of Albert Einstein in 1905
for the attainment of a simple and consistent theory of the electrodynamics of moving bodies based on Maxwell's theory for stationary bodies. The introduction
Annus_mirabilis_papers
Method for describing the electronic structure of molecules using quantum mechanics
functions) of the self-consistent field Hamiltonian and it was at this point that molecular orbital theory became fully rigorous and consistent. This rigorous
Molecular_orbital_theory
Conjecture that gravity must be the weakest force
theory of quantum gravity relative to the gauge forces in that theory. It roughly states that gravity should be the weakest force in any consistent theory
Weak_gravity_conjecture
is infinite". Just as for finite sets, the theory makes further definitions which allow us to consistently compare two infinite sets as regards whether
Paradoxes_of_set_theory
Mathematical theory for handling uncertainty
Possibility theory is a mathematical theory for dealing with certain types of uncertainty and is an alternative to probability theory. It uses measures
Possibility_theory
Formalism in string theory
divergences can arise when the light-cone vertices collide. To produce a consistent theory, it is necessary to introduce higher order vertices, called contact
String_field_theory
Method in physics used to deal with infinities
take a consistent point limit.[citation needed] This was called renormalization, and Lorentz and Abraham attempted to develop a classical theory of the
Renormalization
Candidate "Theory of Everything"
relativity's gravitational force in a mathematically consistent way. In comparison, other theories such as loop quantum gravity are considered by physicists
Introduction_to_M-theory
Solution of some Diophantine equation
from Matiyasevich's result: Corresponding to any given consistent axiomatization of number theory, one can explicitly construct a Diophantine equation that
Diophantine_set
Attraction of masses and energy
field theory predicts negative energy gravitational waves so it also fails. Furthermore, no theory without curvature in spacetime can be consistent with
Gravity
Hypothetical topological feature of spacetime
special solution of the Einstein field equations, and are consistent with the general theory of relativity. In 1995, Matt Visser suggested there may be
Wormhole
Mathematical analysis
provable would be absurd, and so the latter cannot also be provable in a consistent theory. The double-negated existence claim is a logically negative statement
Constructive_analysis
Theory of strings with supersymmetry
known gauge forces. Also, to obtain a consistent, fundamental, quantum theory requires the upgrade to string theory, not just the extra dimensions.[citation
Superstring_theory
American-born Belgian physicist (1928–2011)
the first time a self-consistent theory of charged massive vector bosons which became the foundation of the electroweak theory of elementary particles"
Robert_Brout
Subfield of automated reasoning and mathematical logic
For example, by Gödel's incompleteness theorem, we know that any consistent theory whose axioms are true for the natural numbers cannot prove all first-order
Automated_theorem_proving
Psychological ethological theory
(1907–90). The theory proposes that secure attachments are formed when caregivers are sensitive and responsive in social interactions, and consistently available
Attachment_theory
American theoretical physicist (1924–2019)
consistent theory for the scattering of bound-states on straight-line trajectories was eventually constructed and is nowadays known as string theory.
Geoffrey_Chew
Field of mathematics and science based on non-linear systems and initial conditions
Chaos theory is an interdisciplinary area of scientific study and branch of mathematics. It focuses on underlying patterns and deterministic laws of dynamical
Chaos_theory
Attributing events to improbable causes
consistent" with strong beliefs previously held prior to the event that sparked the belief in a conspiracy. People who believe in conspiracy theories
Conspiracy_theory
Particular class of sets which can be described entirely in terms of simpler sets
This shows that both propositions are consistent with the basic axioms of set theory, if ZF itself is consistent. Since many other theorems only hold in
Constructible_universe
Observation in physical cosmology
observations, a number of physicists and mathematicians had established a consistent theory of an expanding universe by using Einstein field equations of general
Hubble's_law
Effective field theory of quantum chromodynamics
Chiral perturbation theory (ChPT) is an effective field theory constructed with a Lagrangian consistent with the (approximate) chiral symmetry of quantum
Chiral_perturbation_theory
Mathematics of a particle physics model
are all self-consistent. For a further discussion see e.g. R. Mann, chapter 25. Overbye, Dennis (11 September 2023). "Don't Expect a 'Theory of Everything'
Mathematical formulation of the Standard Model
Mathematical_formulation_of_the_Standard_Model
Predecessor to modern quantum mechanics (1900–1925)
theory is a collection of results from the years 1900–1925, which predate modern quantum mechanics. The theory was never complete or self-consistent,
Old_quantum_theory
Form of radioactive decay
May 2013). "Third minima in thorium and uranium isotopes in a self-consistent theory". Physical Review C. 87 (5) 054327. arXiv:1302.1165. Bibcode:2013PhRvC
Spontaneous_fission
1971 book by John Rawls
A Theory of Justice is a 1971 work of political philosophy and ethics by the philosopher John Rawls (1921–2002) in which the author attempts to provide
A_Theory_of_Justice
Characteristic of some logical systems
syntactically complete, a corresponding formal theory is called complete if it is a consistent theory. Gödel's incompleteness theorem shows that any computable
Completeness_(logic)
Axiomatization of arithmetic
Any theory over minimal logic proves ¬ ¬ ( P ∨ ¬ P ) {\displaystyle \neg \neg (P\lor \neg P)} for all propositions. So if the theory is consistent, it
Heyting_arithmetic
Mechanism by which a celestial body generates a magnetic field
the dynamo theory proposes a mechanism by which a celestial body such as Earth or a star generates a magnetic field. The dynamo theory describes the
Dynamo_theory
Mathematical logic concept
states that no consistent theory T that contains Robinson arithmetic, Q, can interpret Q plus Con(T), the statement that T is consistent. By contrast,
Gentzen's_consistency_proof
Theory in classical and Marxian economics
labor commanded. Ricardo, building on Smith, developed a more consistent labor theory of value, arguing that the value of commodities is determined by
Labor_theory_of_value
Branch of mathematics relating to posets
theory is a branch of mathematics that studies special kinds of partially ordered sets (posets) commonly called domains. Consequently, domain theory can
Domain_theory
Area of physical and philosophical debate
is claimed to be consistent with the Schrödinger equation. According to this interpretation, the purpose of a quantum-mechanical theory is to predict the
Interpretations of quantum mechanics
Interpretations_of_quantum_mechanics
Russian physicist
Kuzemsky derived a new self-consistent solution of the Hubbard model in the (1973–1978, a notable contribution to the theory of strongly correlated electron
Alexander_Kuzemsky
Hypothetical physical concept
dooms searches for a deterministic "theory of everything" at least as a consistent non-trivial mathematical theory. Freeman Dyson has stated that "Gödel's
Theory_of_everything
1913 article by Vladimir Lenin
world civilisation. Lenin argues that Marxism, on the contrary, is a consistent theory resulting from the processing, critical re-interpretation and creative
The Three Sources and Three Component Parts of Marxism
The_Three_Sources_and_Three_Component_Parts_of_Marxism
Criminological theory
In criminology, the broken windows theory states that visible signs of crime, antisocial behavior and civil disorder create an urban environment that encourages
Broken_windows_theory
Fictional character in The Big Bang Theory and Young Sheldon
the main protagonists in the 2007–2019 CBS television series The Big Bang Theory and the titular main protagonist of its 2017–2024 spinoff series Young Sheldon
Sheldon_Cooper
CONSISTENT THEORY
CONSISTENT THEORY
Boy/Male
Arabic, Muslim, Sindhi
Exalted; Inconsistent with Contradictory
Boy/Male
Hindu, Indian, Marathi
Consisting of Three Matters
Boy/Male
Hindu, Indian, Traditional
Consisting of Gold; Golden
Boy/Male
Tamil
Consisting of Honey
Boy/Male
Arabic, Australian, German, Turkish
Solid; Firm; Strong; Consistent
Boy/Male
Indian, Sanskrit
Consisting of Pure Thought
Boy/Male
Indian
Inconsistent with contradictory
Boy/Male
Indian, Sanskrit
Consisting of the Gods
Boy/Male
Muslim
Inconsistent with contradictory
Boy/Male
Muslim/Islamic
Exalted inconsistent with contradictory to
Boy/Male
Hindu, Indian, Sanskrit
Consisting of Bliss
Boy/Male
Indian, Sanskrit
Consisting of Pure Knowledge; Wise
Girl/Female
Hindu, Indian, Malayalam, Marathi, Sanskrit
Consisting of Light and Splendour
Girl/Female
Indian, Sanskrit
Consisting of Bliss
Boy/Male
Indian, Sanskrit
Knower of the Inconsistent
Boy/Male
Bengali, Hindu, Indian, Marathi, Telugu
Consisting of Honey
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Consisting of Lightning; Shining; Glittering
Girl/Female
German, Hindu, Indian, Marathi, Sanskrit
Consisting of Dancer and Actors
Boy/Male
Indian, Sanskrit
Consisting of Pure Intelligence
Girl/Female
Indian, Sanskrit
Consisting in All; Al-containing
CONSISTENT THEORY
CONSISTENT THEORY
Boy/Male
Irish
Handsome.
Female
Italian
Italian form of Latin Salvatrix, SALVATRICE means "savior."
Girl/Female
Tamil
Monalisa | மோநாலீஸாÂ
Noble
Girl/Female
Tamil
Alamkritha | அலாமà¯à®•à¯à®°à¯€à®¤à®¾
Decorated
Boy/Male
Australian, Dutch, French, German, Swedish
Son of Talmai-farmer; Bright Ruler
Boy/Male
Arabic, German, Muslim, Sindhi
Flowing
Boy/Male
Indian, Tamil
Attraction
Boy/Male
Indian
Soft and Polite
Girl/Female
Muslim American
Peaceful. Pacifist.
Boy/Male
Indian, Punjabi, Sikh
Pure
CONSISTENT THEORY
CONSISTENT THEORY
CONSISTENT THEORY
CONSISTENT THEORY
CONSISTENT THEORY
a.
Possessing firmness or fixedness; firm; hard; solid.
a.
Having agreement with itself or with something else; having harmony among its parts; possesing unity; accordant; harmonious; congruous; compatible; uniform; not contradictory.
n.
That which coexists with another.
a.
See Incumbent.
n.
The quality or state of being self-consistent.
a.
Not exhibiting uniformity of sentiment, steadiness to principle, etc.; unequal; fickle; changeable.
n.
The condition of standing or adhering together, or being fixed in union, as the parts of a body; existence; firmness; coherence; solidity.
a.
Not consistent; showing inconsistency; irreconcilable; discordant; at variance, esp. as regards character, sentiment, or action; incompatible; incongruous; contradictory.
adv.
In a consistent manner.
n.
Agreement or harmony of all parts of a complex thing among themselves, or of the same thing with itself at different times; the harmony of conduct with profession; congruity; correspondence; as, the consistency of laws, regulations, or judicial decisions; consistency of opinions; consistency of conduct or of character.
a.
Standing or resting on something; as, an insistent wall.
p. pr. & vb. n.
of Consist
n.
Alt. of Consistency
a.
Consistent with one's self or with itself; not deviation from the ordinary standard by which the conduct is guided; logically consistent throughout; having each part consistent with the rest.
a.
Living or acting in conformity with one's belief or professions.
n.
Firmness of constitution or character; substantiality; durability; persistency.
a.
Existing at the same time with another.
a.
Insisting; persistent; persevering.
n.
A degree of firmness, density, or spissitude.
n.
That which stands together as a united whole; a combination.