Modal Homotopy Type Theory

Author: David Corfield
Editor: Oxford University Press
ISBN: 0192595032
File Size: 16,58 MB
Format: PDF, Mobi
Read: 8466
Download

"The old logic put thought in fetters, while the new logic gives it wings." For the past century, philosophers working in the tradition of Bertrand Russell - who promised to revolutionise philosophy by introducing the 'new logic' of Frege and Peano - have employed predicate logic as their formal language of choice. In this book, Dr David Corfield presents a comparable revolution with a newly emerging logic - modal homotopy type theory. Homotopy type theory has recently been developed as a new foundational language for mathematics, with a strong philosophical pedigree. Modal Homotopy Type Theory: The Prospect of a New Logic for Philosophy offers an introduction to this new language and its modal extension, illustrated through innovative applications of the calculus to language, metaphysics, and mathematics. The chapters build up to the full language in stages, right up to the application of modal homotopy type theory to current geometry. From a discussion of the distinction between objects and events, the intrinsic treatment of structure, the conception of modality as a form of general variation to the representation of constructions in modern geometry, we see how varied the applications of this powerful new language can be.

New Spaces In Physics

Author: Mathieu Anel
Editor: Cambridge University Press
ISBN: 110849062X
File Size: 16,36 MB
Format: PDF
Read: 502
Download

After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. This volume covers a broad range of topics in mathematical physics, including noncommutative geometry, supergeometry, derived symplectic geometry, higher geometric quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, twistor theory, loop quantum gravity, and geometry in string theory. It is addressed primarily to mathematical physicists and mathematicians, but also to historians and philosophers of these disciplines.

Categories For The Working Philosopher

Author: Elaine Landry
Editor: Oxford University Press
ISBN: 019874899X
File Size: 38,90 MB
Format: PDF, Kindle
Read: 1324
Download

This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, in an accessible waythat builds on the concepts that are already familiar to philosophers working in these areas.

Logical Foundations Of Computer Science

Author: Sergei Artemov
Editor: Springer Nature
ISBN: 303036755X
File Size: 15,28 MB
Format: PDF, ePub, Docs
Read: 5761
Download

This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2020, held in Deerfield Beach, FL, USA, in January 2020. The 17 revised full papers were carefully reviewed and selected from 30 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; other logics in computer science.

Mengenlehre Und Ihre Logik

Author: Willard Van Orman Quine
Editor:
ISBN:
File Size: 51,53 MB
Format: PDF, Mobi
Read: 8027
Download


Category Theory 1991 Proceedings Of The 1991 Summer Category Theory Meeting Montreal Canada

Author: Robert Andrew George Seely
Editor: American Mathematical Soc.
ISBN: 9780821860182
File Size: 32,12 MB
Format: PDF, Kindle
Read: 9410
Download

As category theory approaches its first half-century, it continues to grow, finding new applications in areas that would have seemed inconceivable a generation ago, as well as in more traditional areas. The language, ideas, and techniques of category theory are well suited to discovering unifying structures in apparently different contexts. Representing this diversity of the field, this book contains the proceedings of an international conference on category theory. The subjects covered here range from topology and geometry to logic and theoretical computer science, from homotopy to braids and conformal field theory. Although generally aimed at experts in the various fields represented, the book will also provide an excellent opportunity for nonexperts to get a feel for the diversity of current applications of category theory.

Abstracts Of Papers Presented To The American Mathematical Society

Author: American Mathematical Society
Editor:
ISBN:
File Size: 22,81 MB
Format: PDF, ePub
Read: 6935
Download


Mathematical Reviews

Author:
Editor:
ISBN:
File Size: 54,68 MB
Format: PDF, ePub, Mobi
Read: 3797
Download


Books In Series In The United States

Author:
Editor:
ISBN:
File Size: 20,61 MB
Format: PDF, ePub
Read: 3792
Download


Comprehensive Dissertation Index

Author:
Editor:
ISBN:
File Size: 58,73 MB
Format: PDF, Mobi
Read: 5727
Download


Stanford Bulletin

Author:
Editor:
ISBN:
File Size: 30,29 MB
Format: PDF, Mobi
Read: 4506
Download


Cornell University Courses Of Study

Author: Cornell University
Editor:
ISBN:
File Size: 45,49 MB
Format: PDF, ePub, Mobi
Read: 7414
Download


Index To Theses With Abstracts Accepted For Higher Degrees By The Universities Of Great Britain And Ireland And The Council For National Academic Awards

Author:
Editor:
ISBN:
File Size: 17,17 MB
Format: PDF, Mobi
Read: 5548
Download


Nasa Sp

Author:
Editor:
ISBN:
File Size: 17,36 MB
Format: PDF, Docs
Read: 6436
Download


Large Space Structures Systems In The Space Station Era

Author: John J. Ferrainolo
Editor:
ISBN:
File Size: 52,85 MB
Format: PDF, ePub, Docs
Read: 4944
Download


Government Reports Announcements Index

Author:
Editor:
ISBN:
File Size: 48,59 MB
Format: PDF, Mobi
Read: 2609
Download


International Aerospace Abstracts

Author:
Editor:
ISBN:
File Size: 70,80 MB
Format: PDF, Docs
Read: 216
Download