An Introduction to Ramsey Theory: Fast Functions, Infinity, and Metamathematics, Matthew Katz, Jan Reimann
Àâòîð: Petr Hajek Íàçâàíèå: Metamathematics of First-Order Arithmetic ISBN: 1107168414 ISBN-13(EAN): 9781107168411 Èçäàòåëüñòâî: Cambridge Academ Ðåéòèíã: Öåíà: 111620.00 T Íàëè÷èå íà ñêëàäå: Åñòü Îïèñàíèå: This much-needed monograph on the metamathematics of first-order arithmetic pays particular attention to subsystems (fragments) of Peano arithmetic and gives the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness.
Àâòîð: Roman Murawski Íàçâàíèå: Recursive Functions and Metamathematics ISBN: 0792359046 ISBN-13(EAN): 9780792359043 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 181670.00 T Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç. Îïèñàíèå: Deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This book considers the historical and philosophical context of these issues and their philosophical and methodological consequences. It is intended for advanced students of logic, mathematics, philosophy of science.
Àâòîð: Hájek Petr Íàçâàíèå: Metamathematics of Fuzzy Logic ISBN: 1402003706 ISBN-13(EAN): 9781402003707 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 81050.00 T Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç. Îïèñàíèå: This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. It aims to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named ‘fuzzy inference’ can be naturally understood as logical deduction. It is for mathematicians, logicians, computer scientists, specialists in artificial intelligence and knowledge engineering, and developers of fuzzy logic.
Àâòîð: Roman Murawski Íàçâàíèå: Recursive Functions and Metamathematics ISBN: 9048152984 ISBN-13(EAN): 9789048152988 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 181670.00 T Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç. Îïèñàíèå: Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics.
Àâòîð: Petr H?jek Íàçâàíèå: Metamathematics of Fuzzy Logic ISBN: 0792352386 ISBN-13(EAN): 9780792352389 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 198450.00 T Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç. Îïèñàíèå: Offers a treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. This work aims to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named `fuzzy inference` can be naturally understood as logical deduction.
