Chapman and Hall/CRC, 2025. — 442 p. — ISBN-13 : 978-1032954820 Contemporary students of mathematics differ considerably from those of half a century ago. In spite of this, many textbooks written decades ago, and now considered to be “classics”, are still prescribed for students today. These texts are not suitable for today’s students. This text is meant for and written to...
Перевод с англ. Ю.А. Гастева. — Под ред. А.С. Есенина-Вольпина. — М.: Мир, 1966. — 556 с. В ходе развития теории множеств, которая является основой построения большинства математических дисциплин, возникли чрезвычайно сложные проблемы непротиворечивости. Книга представляет собой наиболее полный из существующих обзор исследований, вызванных к жизни этой проблематикой; в ней...
Springer, 2024. — 142 p. — (University Texts in the Mathematical Sciences). — ISBN 9819746426. Primarily designed for graduate students of mathematics, this textbook delves into Naïve set theory , offering valuable insights for senior undergraduate students and researchers specializing in set theory. Commencing with a comprehensive exploration of functions and relations, the...
Cambridge University Press, 2024. — 174 p. — (Cambridge Tracts in Mathematics, Series Number 234). — ISBN 978-1-009-56229-4. The theory of definable equivalence relations has been a vibrant area of research in descriptive set theory for the past three decades. It serves as a foundation of a theory of complexity of classification problems in mathematics and is further motivated...
Cham: Springer Nature Switzerland, 2024. — 246 p. The main aim of this book is to provide a compact self-contained presentation of the forcing technique devised by Cohen to establish the independence of the continuum hypothesis from the axioms of set theory. The book follows the approach to the forcing technique via Boolean valued semantics independently introduced by Vopenka...
2nd Edition. — Springer, 2024. — 382 p. — ISBN 978-3-031-63421-5. Formal Concept Analysis is a field of applied mathematics based on the mathematization of concept and conceptual hierarchy. It thereby activates mathematical thinking for conceptual data analysis and knowledge processing. The underlying notion of “concept” evolved early in the philosophical theory of concepts...
Пер. с англ.: А.С. Есенин-Вольпин. — М.: Мир, 1969. — 348 с. — (Библиотека сборника «Математика»). В книге излагается доказательство независимости гипотезы континуума от остальных аксиом теории множеств — один из самых интересных и ярких результатов, полученных в математике за последнее десятилетие. Именно за этот результат ее автор, профессор Станфордского университета П....
Dordrecht: D. Reidel Publishing Company, 1971. — viii, 100 p. — (Synthese Library, vol. 34). — ISBN 978-90-277-0411-5, 978-94-010-3144-8. This book presents the classic relative consistency proofs in set theory that are obtained by the device of 'inner models'. Three examples of such models are investigated in Chapters VI, VII, and VIII; the most important of these, the class...
Boca Raton: Chapman and Hall/CRC, 2024. — xvi, 346 p. — ISBN 978-1-032-58120-0, 978-1-032-58401-0, 978-1-003-44991-1. Set theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. Nearly every branch of Mathematics depends upon set theory, and thus, knowledge of set theory is of interest to every mathematician. This book...
Учебно-методическое пособие. — Ярославль: Ярославский государственный университет (ЯрГУ) имени П.Г. Демидова, 2023. — 48 с. Материалы, содержащиеся в данном пособии, ознакомят студентов с первоначальными понятиями математической логики и теории множеств. Они включают теоретические положения, большое количество примеров и упражнения для самостоятельного решения. Предназначено...
Singapore: World Scientific Publishing Company, 2022. — 480 p. — ISBN 9811261776. Why learn set theory ? This book provides the answer -- it is interesting, and also useful ! Taking a new approach and looking from a fresh perspective, the discussion flows in a friendly and transparent way, supplemented with a lot of examples and figures. This makes the theory easily...
Учебно-методическое пособие. — Минск: Белорусский государственный университет (БГУ), 2023. — 49 с.: ил. Учебно-методическое пособие предназначено для студентов факультета философии и социальных наук БГУ специальностей «Социология», «Социальные коммуникации». Каждая тема содержит исторические сведения, теоретический материал, примеры решения, задачи для самостоятельного решения...
Berlin: de Gruyter, 2010. — 859 p. This is the revised and updated second edition of a well-established research monograph on the axiom of determinacy, written by an expert in the field. This axiom is a fundamental statement in set theory, and it is related to winning strategies in game theory. The nonstationary ideal on ω₁ The partial order P_{max} P_{max} variations...
Academic Press, Elsevier, 1969. — 236 p. — (Pure and Applied Mathematics, 31). — ISBN 0-12-598050-7, 978-0-12-598050-0, 978-0-12-374573-6. In mathematical logic, a Boolean-valued model is a generalization of the ordinary Tarskian notion of structure from model theory. In a Boolean-valued model, the truth values of propositions are not limited to "true" and "false", but instead...
Academic Press, Elsevier, 1969. — 236 p. — (Pure and Applied Mathematics, 31). — ISBN 0-12-598050-7, 978-0-12-598050-0, 978-0-12-374573-6. In mathematical logic, a Boolean-valued model is a generalization of the ordinary Tarskian notion of structure from model theory. In a Boolean-valued model, the truth values of propositions are not limited to "true" and "false", but instead...