CO OZNACZA SŁOWO METAMATHEMATICS
Metamatymatyka
Metamatymatyka jest badaniem samej matematyki stosując metody matematyczne. W tym badaniu powstają metateeory, które są matematycznymi teoriami o innych teoriach matematycznych. Nacisk na metamatematykę wynika z prób David Hilbert udowodnienia spójności teorii matematycznych poprzez udowodnienie twierdzenia o samej teorii, tzn. O wszystkich możliwych dowodach twierdzeń teorii; w szczególności zarówno propozycja A, jak i jej negacja nie A nie powinny być twierdzeniami. Metamatymatyka stanowi jednak "rygorystyczną metodę matematyczną do zbadania wielorakich problemów fundamentów matematyki i logiki, wśród których problem spójności jest tylko jednym".
Definicja słowa metamathematics w słowniku
Definicja metamatematyki w słowniku jest logiczną analizą rozumowania, zasad i reguł kontrolujących użycie i kombinację symboli matematycznych, liczb itp.
KSIĄŻKI POWIĄZANE ZE SŁOWEM «METAMATHEMATICS»
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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.
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.
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.
5
What Number Is God?: Metaphors, Metaphysics, ...
This book uses modern mathematical metaphors to better understand religion and philosophy.
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
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 ...
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 ...
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 ...
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «METAMATHEMATICS»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
metamathematics w wiadomościach.
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, Cze 14»
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, Maj 14»
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, Paz 13»
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, Lut 13»
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»
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, Sty 09»