deborah kant (12 Ergebnisse)

Paperback. Zustand: Brand New. 63 pages. German language. 8.27x5.83x8.27 inches. In Stock.

Taschenbuch. Zustand: Neu. Neuware - Many believe mathematical truth is indisputable. However, the set-theoretic independence phenomenon challenges this idea. Certain statements about infinite sets, like the continuum hypothesis, are neither true nor false according to the standard axioms. While philosophers have offered various diagnoses of this problem, this book posits that the set-theoretic community is key to solving the issue, proposing a pragmatic approach. It presents the first extensive empirical study, featuring interviews with 28 set theorists from varied backgrounds. It explores the spectrum of disagreement and agreement among practitioners, predicting whether the community will adopt new axioms. Overall, this book demonstrates the potential of empirical research for philosophical purposes, also contributing to debates in social epistemology. It addresses a complex problem, applies a novel sociological method, and reveals much about the inner workings of a scientific community in the foundations of mathematics.

Taschenbuch. Zustand: Neu. Pragmatic Insights into Set-Theoretic Independence | Exploring Disagreement and Agreement among Practitioners | Deborah Kant | Taschenbuch | Englisch | 2026 | Klostermann | EAN 9783465046431 | Verantwortliche Person für die EU: Klostermann, [.], Westerbachstr. 47, 60489 Frankfurt / Main, bestellung[at]klostermann[dot]de | Anbieter: preigu.

Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar.

Zustand: New. In.

Taschenbuch. Zustand: Neu. Reflections on the Foundations of Mathematics | Univalent Foundations, Set Theory and General Thoughts | Stefania Centrone (u. a.) | Taschenbuch | xxviii | Englisch | 2020 | Springer | EAN 9783030156572 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives.The volume is divided into three sections, the first two of which focus on the two most prominent candidate theories for a foundation of mathematics. Readers may trace current research in set theory, which has widely been assumed to serve as a framework for foundational issues, as well as new material elaborating on the univalent foundations, considering an approach based on homotopy type theory (HoTT). The third section then builds on this and is centred on philosophical questions connected to the foundations of mathematics. Here, the authors contribute to discussions on foundational criteria with more general thoughts on the foundations of mathematics which are not connected to particular theories.This book shares the work of some of the most important scholars in the fields of set theory (S. Friedman), non-classical logic (G. Priest) and the philosophy of mathematics (P. Maddy). The reader will become aware of the advantages of each theory and objections to it as a foundation, following the latest and best work across the disciplines and it is therefore a valuable read for anyone working on the foundations of mathematics or in the philosophy of mathematics.

Paperback. Zustand: Brand New. 522 pages. 9.25x6.10x1.18 inches. In Stock.

Zustand: New.

Paperback. Zustand: Brand New. 221 pages. German language. 9.25x6.10x0.55 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Dieses Buch erklärt kurz und prägnant die Forschung zum faszinierenden mengentheoretischen Unabhängigkeitsphänomen: Zahlreiche mengentheoretische Sätze sind gemäß den Standardaxiomen weder beweisbar noch widerlegbar. Um das zu zeigen, baut man zwei verschiedene mengentheoretische Modelle, meist mit Hilfe der bahnbrechenden Beweistechnik Forcing. Am Beispiel des berühmtesten unabhängigen Satzes der Kontinuumshypothese erläutert dieses Buch die Grundstruktur und die wesentlichen Argumente eines Unabhängigkeitsbeweises. Anschließend bietet es Einblicke in Themen, die Mengentheoretiker:innen aktuell beschäftigen und diskutiert verschiedene philosophische Sichtweisen auf das mysteriöse Phänomen.

Taschenbuch. Zustand: Neu. Das mengentheoretische Unabhängigkeitsphänomen | Eine Welt jenseits der mathematischen Beweiskraft | Deborah Kant | Taschenbuch | essentials | xiii | Deutsch | 2025 | Springer | EAN 9783662710968 | Verantwortliche Person für die EU: Springer Spektrum in Springer Science + Business Media, Tiergartenstr. 15-17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.