Weyl's predicative classical mathematics as a logic-enriched type theory
Paper in proceedings, 2006

In Das Kontinuum, Weyl showed how a large body of classical mathematics could be developed on a purely predicative foundation. We present a logic-enriched type theory that corresponds to Weyl’s foundational system. A large part of the mathematics in Weyl’s book — including Weyl’s definition of the cardinality of a set and several results from real analysis — has been formalised, using the proof assistant Plastic that implements a logical framework. This case study shows how type theory can be used to represent a non-constructive foundation for mathematics.

logic-enriched type theory predicativism formalisation

Author

Robin Adams

Chalmers, Computer Science and Engineering (Chalmers), Computing Science (Chalmers)

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

03029743 (ISSN) 16113349 (eISSN)

Vol. 4502 1-17

Types for Proofs and Programs International Workshop, TYPES 2006
Nottingham, United Kingdom,

Subject Categories

Algebra and Logic

Computer Science

Areas of Advance

Information and Communication Technology

Roots

Basic sciences

DOI

10.1007/978-3-540-74464-1_1

More information

Created

8/23/2018