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Treatise on Intuitionistic Type Theory

  • Johan Georg Granström
  • Johan Georg Granström

Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 22)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Johan Georg Granström
    Pages 1-11
  3. Johan Georg Granström
    Pages 13-51
  4. Johan Georg Granström
    Pages 53-76
  5. Johan Georg Granström
    Pages 77-106
  6. Johan Georg Granström
    Pages 107-154
  7. Johan Georg Granström
    Pages 155-173
  8. Back Matter
    Pages 175-196

About this book

Introduction

Intuitionistic type theory can be described, somewhat boldly, as a fulfillment of the dream of a universal language for science.  In particular, intuitionistic type theory is a foundation for mathematics and a programming language.  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 Ample historical references are given throughout the book.

Keywords

intuitionism intuitionistic type theory lingua characteristica notion of knowledge notion of truth

Authors and affiliations

  • Johan Georg Granström
    • 1
  • Johan Georg Granström
    • 2
  1. 1.SträngnäsSweden
  2. 2.UppsalaSweden

Bibliographic information