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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

4 Issues per year


SCImago Journal Rank (SJR) 2016: 0.207
Source Normalized Impact per Paper (SNIP) 2016: 0.315

Open Access
Online
ISSN
1898-9934
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Volume 23, Issue 3 (Sep 2015)

Issues

Grzegorczyk’s Logics. Part I

Taneli Huuskonen
Published Online: 2015-09-30 | DOI: https://doi.org/10.1515/forma-2015-0015

Abstract

This article is the second in a series formalizing some results in my joint work with Prof. Joanna Golinska-Pilarek ([9] and [10]) concerning a logic proposed by Prof. Andrzej Grzegorczyk ([11]).

This part presents the syntax and axioms of Grzegorczyk’s Logic of Descriptions (LD) as originally proposed by him, as well as some theorems not depending on any semantic constructions. There are both some clear similarities and fundamental differences between LD and the non-Fregean logics introduced by Roman Suszko in [15]. In particular, we were inspired by Suszko’s semantics for his non-Fregean logic SCI, presented in [16].

Keywords: non-Fregean logic; logic of descriptions; non-classical propositional logic; equimeaning connective

MSC: 03B60; 03B35

MML identifier:: GRZLOG 1

References

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About the article

Received: 2015-04-30

Published Online: 2015-09-30

Published in Print: 2015-09-01


Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, DOI: https://doi.org/10.1515/forma-2015-0015.

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© by Taneli Huuskonen. This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License. BY-SA 3.0

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