Some Remarks about Attempts of Intuitive Interpretation of Łukasiewicz's Three-valued Logic

Abstract

This article presents some attempts of modification of Łukasiewicz's three-valued logic. Słupecki's attempt had some counterintuitive consequences its assumptions 2, 3, 4 and 8. Borkowski tried to eliminate those counterintuitive consequences. However, his system is four--valued one (it is a modification of Łukasiewicz's four-valued modal system) and its matrices are a result of multiplying of classical, two-valued matrices.