Download the app
educalingo
Search

Meaning of "metamathematics" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF METAMATHEMATICS

metamathematics  [ˌmɛtəˌmæθɪˈmætɪks] play
facebooktwitterpinterestwhatsapp

GRAMMATICAL CATEGORY OF METAMATHEMATICS

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Metamathematics 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 METAMATHEMATICS MEAN IN ENGLISH?

Metamathematics

Metamathematics is the study of mathematics itself using mathematical methods. This study produces metatheories, which are mathematical theories about other mathematical theories. Emphasis on metamathematics is due to David Hilbert's attempt of proving the consistency of mathematical theories by proving a proposition about a theory itself, i.e. specifically about all possible proofs of theorems in the theory; in particular, both a proposition A and its negation not A should not be theorems. However, metamathematics provides "a rigorous mathematical technique for investigating a great variety of foundation problems for mathematics and logic, among which the consistency problem is only one".

Definition of metamathematics in the English dictionary

The definition of metamathematics in the dictionary is the logical analysis of the reasoning, principles, and rules that control the use and combination of mathematical symbols, numbers, etc.

WORDS THAT RHYME WITH METAMATHEMATICS


aquatics
əˈkwætɪks
bioinformatics
ˌbaɪəʊˌɪnfəˈmætɪks
biomathematics
ˌbaɪəʊˌmæθəˈmætɪks
biosystematics
ˌbaɪəʊˌsɪstɪˈmætɪks
chromatics
krəʊˈmætɪks
cymatics
saɪˈmætɪks
diplomatics
ˌdɪpləˈmætɪks
dogmatics
dɒɡˈmætɪks
dramatics
drəˈmætɪks
glossematics
ˌɡlɒsəˈmætɪks
informatics
ˌɪnfəˈmætɪks
kinematics
ˌkɪnɪˈmætɪks
mathematics
ˌmæθəˈmætɪks
numismatics
ˌnjuːmɪzˈmætɪks
pneumatics
njʊˈmætɪks
pragmatics
præɡˈmætɪks
problematics
ˌprɒblɪˈmætɪks
rheumatics
ruːˈmætɪks
systematics
ˌsɪstɪˈmætɪks
telematics
ˌtɛlɪˈmætɪks

WORDS THAT BEGIN LIKE METAMATHEMATICS

metamale
metamathematical
metamathematician
metamer
metameral
metamere
metameric
metameric segmentation
metamerically
metamerism
metamict
metamictisation
metamictization
metamorphic
metamorphically
metamorphism
metamorphist
metamorphose
metamorphoses
metamorphosis

WORDS THAT END LIKE METAMATHEMATICS

acrobatics
aerobatics
aerostatics
amateur dramatics
athletics
biostatics
cosmetics
ecstatics
electrostatics
geostatics
gyrostatics
higher mathematics
hydrostatics
logistics
magnetostatics
orthotics
politics
statistics
tactics
thermostatics

Synonyms and antonyms of metamathematics in the English dictionary of synonyms

SYNONYMS

Translation of «metamathematics» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF METAMATHEMATICS

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

Translator English - Chinese

元数学
1,325 millions of speakers

Translator English - Spanish

metamatemática
570 millions of speakers

English

metamathematics
510 millions of speakers

Translator English - Hindi

metamathematics
380 millions of speakers
ar

Translator English - Arabic

تخطى
280 millions of speakers

Translator English - Russian

метаматематика
278 millions of speakers

Translator English - Portuguese

metamathematics
270 millions of speakers

Translator English - Bengali

metamathematics
260 millions of speakers

Translator English - French

metamathematics
220 millions of speakers

Translator English - Malay

Metamatematik
190 millions of speakers

Translator English - German

Metamathematik
180 millions of speakers

Translator English - Japanese

超数学
130 millions of speakers

Translator English - Korean

metamathematics
85 millions of speakers

Translator English - Javanese

Metamatika
85 millions of speakers
vi

Translator English - Vietnamese

metamathematics
80 millions of speakers

Translator English - Tamil

metamathematics
75 millions of speakers

Translator English - Marathi

मेटाममायमेटिक्स
75 millions of speakers

Translator English - Turkish

Metamatematik
70 millions of speakers

Translator English - Italian

metamatematica
65 millions of speakers

Translator English - Polish

metamatematyki
50 millions of speakers

Translator English - Ukrainian

метаматематика
40 millions of speakers

Translator English - Romanian

metamathematics
30 millions of speakers
el

Translator English - Greek

metamathematics
15 millions of speakers
af

Translator English - Afrikaans

metamathematics
14 millions of speakers
sv

Translator English - Swedish

metamathematics
10 millions of speakers
no

Translator English - Norwegian

metamathematics
5 millions of speakers

Trends of use of metamathematics

TRENDS

TENDENCIES OF USE OF THE TERM «METAMATHEMATICS»

The term «metamathematics» is normally little used and occupies the 136.111 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
36
/100
The map shown above gives the frequency of use of the term «metamathematics» in the different countries.
Principal search tendencies and common uses of metamathematics
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «metamathematics».

FREQUENCY OF USE OF THE TERM «METAMATHEMATICS» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «metamathematics» during the past 500 years. Its implementation is based on analysing how often the term «metamathematics» 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 metamathematics

EXAMPLES

10 ENGLISH BOOKS RELATING TO «METAMATHEMATICS»

Discover the use of metamathematics in the following bibliographical selection. Books relating to metamathematics and brief extracts from same to provide context of its use in English literature.
1
Metamathematics of Fuzzy Logic
This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis.
Petr Hájek, 2001
2
Recursive Functions and Metamathematics: Problems of ...
The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
‎1999
3
Metamathematics of First-Order Arithmetic
This book covers the most important results in the first order theory of the natural numbers, called Peano arithmetic. These results will be important for all those interested in mathematical logic or computational complexity.
Petr Hájek, Pavel Pudlák, 1998
4
Metamathematics, Machines and Gödel's Proof
Describes the use of computer programs to check several proofs in the foundations of mathematics.
N. Shankar, 1997
5
What Number Is God?: Metaphors, Metaphysics, ...
This book uses modern mathematical metaphors to better understand religion and philosophy.
Sarah Voss, 1995
6
Recursion Theory for Metamathematics
This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic.
Raymond M. Smullyan, 1993
7
Recursion Theory for Metamathematics
This work is a sequel to the author's Godel's Incompleteness Theorems, though it can be read independently by anyone familiar with Godel's incompleteness theorem for Peano arithmetic.
Raymond M. Smullyan Professor of Philosophy Indiana University, 1993
8
Hilbert
As a result of Hilbert's enthusiasm for the problems of mathematical logic and the foundations of mathematics, a whole new area of study has been added to the science — metamathematics, beyond mathematics. "The future historian of ...
Constance Reid, 1996
9
Hilbert-Courant
As a result of Hilbert's enthusiasm for the problems of mathematical logic and the foundations of mathematics, a whole new area of study has been added to the science — metamathematics, beyond mathematics. "The future historian of ...
‎1970
10
Mathematics in Society and History: Sociological Inquiries
I want to jump ahead now to the relatively recent past and look at metamathematics. The general strategy I have outlined in this chapter can help to make sense out of highly abstract mathematical work without recourse to non- materialist (and ...
S. Restivo, 2001

6 NEWS ITEMS WHICH INCLUDE THE TERM «METAMATHEMATICS»

Find out what the national and international press are talking about and how the term metamathematics is used in the context of the following news items.
1
Kurt Godel studied statements which refer to themselves, and his …
... study such statements using the tools of modern logic, which made him one the founders of metamathematics – a branch of mathematics that ... «Phys.Org, Jun 14»
2
Neil DeGrasse Tyson: Scientism's Televangelist
He is also pretty readable, provided you avoid his more technical material about metamathematics, which tends to be pretty bad anyways. «The American Conservative, May 14»
3
When Meta Met Data
... rarefied air of academia, where intellectuals used it to study what others were studying (in fields like metamathematics or metapsychology). «New York Times, Oct 13»
4
Dan Massey, Renaissance Man, Androgyne and Longtime LGBT …
... mathematical linguistics, experimental psychology and metamathematics. 2013-02-05-DanMassey.jpg There were times when I could picture ... «Huffington Post, Feb 13»
5
Logical Positivism and the IPCC: 'The Best-Laid Schemes...'
... notion of logic as a "metalanguage" -- also called "metamathematics. .... notion of logic as a "metalanguage" -- also called "metamathematics. «American Thinker, Mar 10»
6
Professor Uses Mathematics to Decode Beatles Tunes
He talks about the lyrics of 1960s songwriter Randy Newman in terms of metamathematics. When he sees broccoli, he thinks of fractals, ... «Wall Street Journal, Jan 09»

REFERENCE
« EDUCALINGO. Metamathematics [online]. Available <https://educalingo.com/en/dic-en/metamathematics>. Apr 2024 ».
Download the educalingo app
en
English dictionary
Discover all that is hidden in the words on
index
a b c d e f g h i j k l m n o p q r s t u v w x y z