Studia Logica

, Volume 74, Issue 3, pp 441–468

On Alternative Geometries, Arithmetics, and Logics; a Tribute to Łukasiewicz

Authors

  • Graham Priest
    • Department of PhilosophyUniversity of Melbourne
Article

DOI: 10.1023/A:1025123418085

Cite this article as:
Priest, G. Studia Logica (2003) 74: 441. doi:10.1023/A:1025123418085

Abstract

The paper discusses the similarity between geometry, arithmetic, and logic, specifically with respect to the question of whether applied theories of each may be revised. It argues that they can - even when the revised logic is a paraconsistent one, or the revised arithmetic is an inconsistent one. Indeed, in the case of logic, it argues that logic is not only revisable, but, during its history, it has been revised. The paper also discusses Quine's well known argument against the possibility of “logical deviancy”.

Łukasiewiczrevisabilityinconsistent arithmeticsTraditional logicparaconsistencyQuine

Copyright information

© Kluwer Academic Publishers 2003