Logical Determinacy versus Logical Contingency. The Case of Łukasiewicz’s Three-valued Logic
Keywords:
Łukasiewicz, many-valued logic, three-valued logic, modal logic, four-value logic, logical contingency, logical determinacy.Abstract
In constructing the three-valued logic, Jan Łukasiewicz was highly inspirited by the Aristotelian idea of logical contingency. Nevertheless, we can construct a four-valued logic for explicating the Stoic idea of logical determinacy. In this system, we have the following truth values: 0 (‘possibly false), 1 (‘necessarily false’), 2 (‘possibly true’), 3 (‘necessarily true’), where the designated truth value is represented by the two values: 2 and 3.
