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A Modern Perspective On Type Theory

RRP $29.99

Towards the end of the nineteenth century, Frege gave us the abstraction principles and the general notion of functions. Self-application of functions was at the heart of Russell's paradox. This led Russell to introduce type theory in order to avoid the paradox. Since, the twentieth century has seen an amazing number of theories concerned with types and functions and many applications. Progress in computer science also meant more and more emphasis on the use of logic, types and functions to study the syntax, semantics, design and implementation of programming languages and theorem provers, and the correctness of proofs and programs. The authors of this book have themselves been leading the way by providing various extensions of type theory which have been shown to bring many advantages. This book gathers much of their influential work and is highly recommended for anyone interested in type theory. The main emphasis is on:
- Types: from Russell to Ramsey, to Church, to the modern Pure Type Systems and some of their extensions.
- Functions: from Frege, to Russell to Church, to Automath and the use of functions in mathematics, programming languages and theorem provers.
- The role of types in logic: Kripke's notion of truth, the evolution and role of the propositions as types concept and its use in logical frameworks.
- The role of types in computation: extensions of type theories which can better model proof checkers and programming languages are given.

The first part of the book is historical, yet at the same time, places historical systems (like Russell's RTT) in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms), but at the same time, places another historical system (the proof checker Automath) in the modern setting. The third part uses this bridging in the first two parts between historical and modern systems to propose new systems that bring more advantages together. This book has much to offer to mathematicians, logicians and to computer scientists in general. It will have considerable influence for many years to come.' - Henk Barendregt


Origami Paper In A Box - Abstract Patterns

RRP $19.99

These kits feature beautiful folding papers in a variety of Japanese patterns and step-by-step folding instructions of origami models-everything you need to create amazing origami art! The ancient art of origami originated in Japan, where it was steeped in tradition. The 4 models presented in this kit include several with strong symbolic meanings, as well as those which have practical uses, and those that are just for fun.

The included book opens with an illustrated history of origami that highlights master folders and traces the evolution of this pastime and art form up until the present day.

This box includes:

  • A full-colour 32-page book with step-by-step folding instructions
  • 192 sheets of 6” x 6” folding papers
  • 10 gorgeous patterns printed in colour on both sides

About the Author

The Tuttle Publishing Company was established in 1948 in Rutland, Vermont, and Tokyo, Japan, and is today regarded as a premier publisher and seller of books rooted in Asian culture, language, and history.

The company's founder, Charles Egbert Tuttle, Jr., after graduating Phillips Exeter Academy and Harvard University felt his call of duty and joined the US military. Tuttle was sent to serve under General MacArthur’s staff in Japan immediately following World War II. His primary mission was a post-war revival of the Japanese Publishing Industry. Tuttle remained in Japan after honorable discharge and began to lay the foundation for what was soon to be the birth of Tuttle Publishing.



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Thrill, Motivate, Organise, Design Articles

Greeting Card Paper Craft Crafty Modern Origami
Origami Coloring Journaling Stationery
Patterns Crochet Embroidery Simple Patterns

Thrill, Motivate, Organise, Design Books

Greeting Card Paper Craft Crafty Modern Origami
Origami Coloring Journaling Stationery
Patterns Crochet Embroidery Simple Patterns

Thrill, Motivate, Organise, Design