English

Teaching Le\'sniewski's Prothetic with a Natural Deduction System

Computers and Society 2015-07-15 v1 Logic in Computer Science

Abstract

Protothetic is one of the most stimulating systems for propositional logic. Including quantifiers and an inference rule for definitions, it is a very interesting mean for the study of many questions of metalogic. Unfortunately, it only exists in an axiomatic version, far too complicated and unusual to be easily understood by nowadays students in logic. In this paper, we present a system which is a natural deduction (in Fitch-Ja\'skowski's style) version of protothetic. According to us, this system is adequate for teaching Le\'sniewski's logic to students accustomed to natural deduction.

Keywords

Cite

@article{arxiv.1507.03668,
  title  = {Teaching Le\'sniewski's Prothetic with a Natural Deduction System},
  author = {Pierre Joray},
  journal= {arXiv preprint arXiv:1507.03668},
  year   = {2015}
}

Comments

Presented at the Fourth International Conference on Tools for Teaching Logic (TTL2015), Rennes, France, June 9-12, 2015

R2 v1 2026-06-22T10:11:10.930Z