ЧТО ОЗНАЧАЕТ СЛОВО METAMATHEMATICS
Метаматематика
Метаматика - это изучение самой математики с использованием математических методов. Это исследование создает метатеории, которые являются математическими теориями относительно других математических теорий. Акцент на метаматематике связан с попыткой Дэвида Гильберта доказать согласованность математических теорий, доказывая предложение о самой теории, а именно о всех возможных доказательствах теорем в теории; в частности, и предложение А, и его отрицание не А не должны быть теоремами. Однако метаматематика обеспечивает «строгий математический метод для исследования множества проблем фундамента для математики и логики, среди которых проблема согласованности - только одна».
Значение слова metamathematics в словаре английский языка
Определение метаматематики в словаре - это логический анализ рассуждений, принципов и правил, которые контролируют использование и сочетание математических символов, чисел и т. Д.
КНИГИ НА АНГЛИЙСКИЙ ЯЗЫКЕ, ИМЕЮЩЕЕ ОТНОШЕНИЕ К СЛОВУ «METAMATHEMATICS»
Поиск случаев использования слова
metamathematics в следующих библиографических источниках. Книги, относящиеся к слову
metamathematics, и краткие выдержки из этих книг для получения представления о контексте использования этого слова в литературе на английский языке.
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 ...
НОВОСТИ, В КОТОРЫХ ВСТРЕЧАЕТСЯ ТЕРМИН «METAMATHEMATICS»
Здесь показано, как национальная и международная пресса использует термин
metamathematics в контексте приведенных ниже новостных статей.
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, Июн 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, Май 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, Окт 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, Фев 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, Мар 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, Янв 09»