Reflections on the Foundations of Mathematics

Released on by Stefania Centrone
preview-18

  • Reflections on the Foundations of Mathematics Book Detail

  • Author : Stefania Centrone
  • Release Date : 2019-11-11
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 511
  • ISBN 13 : 3030156559
  • File Size : 24,24 MB
DOWNLOAD BOOK

Reflections on the Foundations of Mathematics by Stefania Centrone PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Reflections on the Foundations of Mathematics books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Foundations of Space and Time

Foundations of Space and Time

File Size : 4,4 MB
Total View : 5623 Views
DOWNLOAD

Encapsulates the latest debates on this topic, giving researchers and graduate students an up-to-date view of the field.