<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Logical Determinacy versus Logical Contingency. The Case of Łukasiewicz’s Three-valued Logic

University of Information Technology and Management in Rzeszow

Studia Humana

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In constructing the three-valued logic, Jan Łukasiewicz was highly inspirited by the Aristotelian idea of logical contingency. Nevertheless, we can construct a...

Logical Determinacy versus Logical Contingency. The Case of Łukasiewicz’s Three-valued Logic

Published Online: Dec 21, 2019

Page range: 8 - 15

DOI: https://doi.org/10.2478/sh-2019-0012

Keywords
Łukasiewicz, many-valued logic, three-valued logic, modal logic, four-value logic, logical contingency, logical determinacy

© 2019 Andrew Schumann, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Logical Determinacy versus Logical Contingency. The Case of Łukasiewicz’s Three-valued Logic

Published Online: Dec 21, 2019

Page range: 8 - 15

DOI: https://doi.org/10.2478/sh-2019-0012

KeywordsŁukasiewicz, many-valued logic, three-valued logic, modal logic, four-value logic, logical contingency, logical determinacy

© 2019 Andrew Schumann, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Łukasiewicz, many-valued logic, three-valued logic, modal logic, four-value logic, logical contingency, logical determinacy