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Author : John P. Mayberry
Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 347/5 ( reviews)
Book Synopsis The Foundations of Mathematics in the Theory of Sets by : John P. Mayberry
Download or read book The Foundations of Mathematics in the Theory of Sets written by John P. Mayberry. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
Author : Luca Incurvati
Release : 2020-01-23
Genre : History
Kind : eBook
Book Rating : 829/5 ( reviews)
Book Synopsis Conceptions of Set and the Foundations of Mathematics by : Luca Incurvati
Download or read book Conceptions of Set and the Foundations of Mathematics written by Luca Incurvati. This book was released on 2020-01-23. Available in PDF, EPUB and Kindle. Book excerpt: Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
Author : Abraham Adolf Fraenkel
Release : 1968
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Abstract Set Theory by : Abraham Adolf Fraenkel
Download or read book Abstract Set Theory written by Abraham Adolf Fraenkel. This book was released on 1968. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Douglas Cenzer
Release : 2020-04-04
Genre : Mathematics
Kind : eBook
Book Rating : 943/5 ( reviews)
Book Synopsis Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory by : Douglas Cenzer
Download or read book Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory written by Douglas Cenzer. This book was released on 2020-04-04. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra.The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.
Author : Stefania Centrone
Release : 2019-11-11
Genre : Mathematics
Kind : eBook
Book Rating : 559/5 ( reviews)
Book Synopsis Reflections on the Foundations of Mathematics by : Stefania Centrone
Download or read book Reflections on the Foundations of Mathematics written by Stefania Centrone. This book was released on 2019-11-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.
