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Meaning of "model theory" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF MODEL THEORY

model theory play
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GRAMMATICAL CATEGORY OF MODEL THEORY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Model theory is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES MODEL THEORY MEAN IN ENGLISH?

Model theory

In mathematics, model theory is the study of classes of mathematical structures from the perspective of mathematical logic. The objects of study are models of theories in a formal language. We call a theory a set of sentences in a formal language, and model of a theory a structure that satisfies the sentences of that theory. Model theory recognises and is intimately concerned with a duality: It examines semantical elements by means of syntactical elements of a corresponding language. To quote the first page of Chang and Keisler: universal algebra + logic = model theory. Model theory developed rapidly during the 1990s, and a more modern definition is provided by Wilfrid Hodges: model theory = algebraic geometry − fields, although model theorists are also interested in the study of fields. Other nearby areas of mathematics include combinatorics, number theory, arithmetic dynamics, analytic functions, and non-standard analysis. In a similar way to proof theory, model theory is situated in an area of interdisciplinarity among mathematics, philosophy, and computer science.

Definition of model theory in the English dictionary

The definition of model theory in the dictionary is the branch of logic that deals with the properties of models; the semantic study of formal systems.

WORDS THAT BEGIN LIKE MODEL THEORY

mode
mode of transport
model
model plane
model railway
model-theoretic
modeling
modelist
modelled
modeller
modelling
modelling clay
modello
modem
Modena
moder
moderate
moderate breeze
moderate gale
moderate-sized

WORDS THAT END LIKE MODEL THEORY

atomic theory
automata theory
big bang theory
big-bang theory
chaos theory
complexity theory
conspiracy theory
decision theory
game theory
gauge theory
information theory
kinetic theory
number theory
probability theory
quantum theory
set theory
string theory
systems theory
the kinetic theory
theory
wave theory

Synonyms and antonyms of model theory in the English dictionary of synonyms

SYNONYMS

Translation of «model theory» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF MODEL THEORY

Find out the translation of model theory to 25 languages with our English multilingual translator.
The translations of model theory from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «model theory» in English.

Translator English - Chinese

模型理论
1,325 millions of speakers

Translator English - Spanish

la teoría de modelos
570 millions of speakers

English

model theory
510 millions of speakers

Translator English - Hindi

मॉडल सिद्धांत
380 millions of speakers
ar

Translator English - Arabic

نظرية النموذج
280 millions of speakers

Translator English - Russian

теория модель
278 millions of speakers

Translator English - Portuguese

teoria dos modelos
270 millions of speakers

Translator English - Bengali

মডেল তত্ত্ব
260 millions of speakers

Translator English - French

la théorie des modèles
220 millions of speakers

Translator English - Malay

Teori model
190 millions of speakers

Translator English - German

Modelltheorie
180 millions of speakers

Translator English - Japanese

モデル理論
130 millions of speakers

Translator English - Korean

모델 이론
85 millions of speakers

Translator English - Javanese

Teori model
85 millions of speakers
vi

Translator English - Vietnamese

mô hình lý thuyết
80 millions of speakers

Translator English - Tamil

மாதிரி கோட்பாடு
75 millions of speakers

Translator English - Marathi

मॉडेल सिद्धांत
75 millions of speakers

Translator English - Turkish

Model teorisi
70 millions of speakers

Translator English - Italian

teoria dei modelli
65 millions of speakers

Translator English - Polish

teoria modelu
50 millions of speakers

Translator English - Ukrainian

теорія модель
40 millions of speakers

Translator English - Romanian

teoria modelului
30 millions of speakers
el

Translator English - Greek

θεωρία μοντέλο
15 millions of speakers
af

Translator English - Afrikaans

model teorie
14 millions of speakers
sv

Translator English - Swedish

modellteori
10 millions of speakers
no

Translator English - Norwegian

modell teori
5 millions of speakers

Trends of use of model theory

TRENDS

TENDENCIES OF USE OF THE TERM «MODEL THEORY»

The term «model theory» is regularly used and occupies the 69.535 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
68
/100
The map shown above gives the frequency of use of the term «model theory» in the different countries.
Principal search tendencies and common uses of model theory
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «model theory».

FREQUENCY OF USE OF THE TERM «MODEL THEORY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «model theory» during the past 500 years. Its implementation is based on analysing how often the term «model theory» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about model theory

EXAMPLES

10 ENGLISH BOOKS RELATING TO «MODEL THEORY»

Discover the use of model theory in the following bibliographical selection. Books relating to model theory and brief extracts from same to provide context of its use in English literature.
1
A Shorter Model Theory
This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory.
Wilfrid Hodges, 1997
2
A Course in Model Theory: An Introduction to Contemporary ...
This book, translated from the French, is an introduction to first-order model theory.
Bruno Poizat, 2000
3
A Course in Model Theory
Concise introduction to current topics in model theory, including simple and stable theories.
Katrin Tent, Martin Ziegler, 2012
4
Model Theory: Third Edition
It has been thirteen years since the Second Edition of this book was written, and as one would expect, the subject of model theory has changed radically. Model theory is now dominated by new areas which were in their infancy in 1976 and ...
C.C. Chang, H. Jerome Keisler, 2013
5
Model Theory
An up-to-date and integrated introduction to model theory, designed to be used for graduate courses (for students who are familiar with first-order logic), and as a reference for more experienced logicians and mathematicians.
Wilfrid Hodges, 2008
6
Model Theory : An Introduction
This is a text for graduate students, mainly aimed at those specializing in logic, but also of interest for mathematicians outside logic who want to know what model theory can offer them...it is one which makes a good case for model theory ...
David Marker, 2002
7
A Guide to Classical and Modern Model Theory
This volume-is easily accessible to young people and mathematicians unfamiliar with logic; -gives a terse historical picture of Model Theory; -introduces the latest developments in the area; -provides 'hands-on' proofs of elimination of ...
Annalisa Marcja, Carlo Toffalori, 2003
8
A First Course in Linear Model Theory
The authors' fresh approach, methodical presentation, wealth of examples, and introduction to topics beyond the classical theory set this book apart from other texts on linear models.
Nalini Ravishanker, Dipak K. Dey, 2001
9
Model Theory, Algebra, and Geometry
Leading experts survey the connections between model theory and semialgebraic, subanalytic, p-adic, rigid and diophantine geometry.
Deirdre Haskell, Anand Pillay, Charles Steinhorn, 2000
10
Mathematical Logic and Model Theory: A Brief Introduction
This book will be of interest to both advanced undergraduate and graduate students studying model theory and its applications to algebra. It may also be used for self-study.
Alexander Prestel, Charles Delzell, 2011

10 NEWS ITEMS WHICH INCLUDE THE TERM «MODEL THEORY»

Find out what the national and international press are talking about and how the term model theory is used in the context of the following news items.
1
Seven researchers from the University of Waterloo getting funding …
Rahim Moosa (Pure Mathematics): Furthering the role that model theory plays in recognizing, formalizing, and facilitating analogies between ... «570 News, Jun 15»
2
Subaru Reveals New Hyper Blue Exterior Color
Running with the special edition model theory, it is likely that Hyper Blue will be the new shade of choice for Subaru's Series.Blue models which ... «AutoGuide.com, Jun 15»
3
According To A Latest Computer Model Study in Cryosphere, The …
This was revealed by a new climate computer model theory as Nepal is set to lose 99 percent of its glaciers. In view of this, the devastation in ... «Dispatch Times, Jun 15»
4
New particle collider more precise than LHC awaits approval
The discovery verified the Standard Model theory of particle physics which predicted that particles gain mass by passing through the Higgs field ... «International Business Times UK, May 15»
5
Cern: LHC restarts collisions that will eventually explore black holes …
It was in earlier collisions that the Higgs boson or god particle was detected first in 2012, a discovery that verified the Standard Model theory of ... «International Business Times UK, May 15»
6
Maryland researchers to help operate European CERN particle …
The upcoming research will deal with everything from how strong and weak forces interact to the limitations of Standard Model theory, which ... «Diamondback Online, Apr 15»
7
What next for the Large Hadron Collider?
For a long time physicists thought that their Standard Model theory could explain almost everything. Then came two phenomena that showed ... «BBC News, Apr 15»
8
Why We Can't Agree
The multi-model theory presented here doesn't say that all models are equal; far from it. Wildebeest, eagles, and people are more likely to prosper with effective ... «Philosophy Now, Mar 15»
9
Large Hadron Collider's particle quest delayed by a short circuit …
... an extension of physics' Standard Model theory, which describes the fundamental particles, or building blocks, of matter in the universe and ... «OregonLive.com, Mar 15»
10
Going From a Building Economy to a Neural Economy
Of course not. Then why apply model theory created in the 20th century to the new neural economy? The answer is you shouldn't. To see a list ... «LearnBonds, Mar 15»

REFERENCE
« EDUCALINGO. Model theory [online]. Available <https://educalingo.com/en/dic-en/model-theory>. Apr 2024 ».
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