Treatise on Intuitionistic Type Theory - Johan Georg Granström

Treatise on Intuitionistic Type Theory

Buch | Hardcover
198 Seiten
2011
Springer (Verlag)
978-94-007-1735-0 (ISBN)
149,79 inkl. MwSt
Intuitionistic type theory can be described, somewhat boldly, as a partial fulfillment of the dream of a universal language for science. This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution. Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.

Johan G. Granström (1977) holds an Uppsala doctorate in mathematical logic (2009). He had the privilege of having Em.Prof. Per Martin-Löf, the father of dependent types, as doctoral supervisor (2003-2009), along with Prof. Erik Palmgren, a renowned expert in constructive mathematics. Dr. Granström has been a short-term research fellow at Ludwig-Maximilians-Universität München (2006-2007) and a research associate in formal methods for MDA at King’s College London (2009). Before entering into doctoral studies he was employed in the computer industry as systems developer, consultant, and software architect (1998-2003).  He worked as Systems and Solutions Architect at Svea Ekonomi (2009-2011) and is currently employed by Google, Zürich (2011- ).

List of Figures

List of Tables

Introduction

Chapter I. Prolegomena

Chapter II. Truth and Knowledge

Chapter III. The Notion of Set

Chapter IV. Reference and Computation

Chapter V. Assumption and Substitution

Chapter VI. Intuitionism

Bibliography

Index of Proper Names

Index of Subjects.

Erscheint lt. Verlag 3.6.2011
Reihe/Serie Logic, Epistemology, and the Unity of Science ; 22
Zusatzinfo XIV, 198 p.
Verlagsort Dordrecht
Sprache englisch
Maße 155 x 235 mm
Themenwelt Geisteswissenschaften Philosophie Allgemeines / Lexika
Geisteswissenschaften Philosophie Erkenntnistheorie / Wissenschaftstheorie
Geisteswissenschaften Philosophie Geschichte der Philosophie
Geisteswissenschaften Philosophie Logik
Geisteswissenschaften Philosophie Philosophie der Neuzeit
Mathematik / Informatik Informatik
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Logik / Mengenlehre
ISBN-10 94-007-1735-0 / 9400717350
ISBN-13 978-94-007-1735-0 / 9789400717350
Zustand Neuware
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