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

<p>Non-classical logic via approximation of self-referential sentences by dynamical systems are consistently presented. The new 6-valued truth values &lt;T, va, A, V, av, F> (here A=Liar, V=TruthTeller) are presented as a function of the classical truth values <italic>x</italic><sub>i</sub> ∈ {0,1}, which resulted in a philosophical standpoint known as Suszko’s Thesis. Three-valued truth tables were created corresponding to Priest’s tables of the same name. In the process of constructing 4-valued truth tables, two more new truth values (va, av) were revealed that do not coincide with the four original ones. Therefore, the closed tables turned out to be 6-valued. Prof Dunn’s 4-valued truth tables are compared with our 4-valued truth tables. De Morgan’s laws are confirmed by six-valued truth tables. Constructed 3-, 4- and 6-valued lattices obeying De Morgan’s laws.</p>
</abstract>

Non-classical logic via approximation of self-referential sentences by dynamical systems are consistently presented. The new 6-valued truth values <T, va, A, V, av, F> (here A=Liar, V=TruthTeller) are presented as a function of the classical truth values xi ∈ {0,1}, which resulted in a philosophical standpoint known as Suszko’s Thesis. Three-valued truth tables were created corresponding to Priest’s tables of the same name. In the process of constructing 4-valued truth tables, two more new truth values (va, av) were revealed that do not coincide with the four original ones. Therefore, the closed tables turned out to be 6-valued. Prof Dunn’s 4-valued truth tables are compared with our 4-valued truth tables. De Morgan’s laws are confirmed by six-valued truth tables. Constructed 3-, 4- and 6-valued lattices obeying De Morgan’s laws.

Dynamic Approximation of Self-Referential Sentences

Studia Humana

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Dynamic Approximation of Self-Referential Sentences"}

Non-classical logic via approximation of self-referential sentences by dynamical systems are consistently presented. The new 6-valued truth values  (here A=Liar, V=TruthTeller) are presented as a function of the classical truth values xi ∈ {0,1}, which resulted in a philosophical standpoint known as Suszko’s Thesis. Three-valued truth tables were created corresponding to Priest’s tables of the same name. In the process of constructing 4-valued truth tables, two more new truth values (va, av) were revealed that do not coincide with the four original ones. Therefore, the closed tables turned out to be 6-valued. Prof Dunn’s 4-valued truth tables are compared with our 4-valued truth tables. De Morgan’s laws are confirmed by six-valued truth tables. Constructed 3-, 4- and 6-valued lattices obeying De Morgan’s laws.

Non-classical logic via approximation of self-referential sentences by dynamical systems are consistently presented. The new 6-valued truth values <T, va, A,...

Dynamic Approximation of Self-Referential Sentences

Publié en ligne: 05 janv. 2023

Pages: 25 - 29

DOI: https://doi.org/10.2478/sh-2022-0013

Mots clés
self-reference, dynamic, Liar, TruthTeller

© 2022 Vladimir A. Stepanov, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Dynamic Approximation of Self-Referential Sentences

Publié en ligne: 05 janv. 2023

Pages: 25 - 29

DOI: https://doi.org/10.2478/sh-2022-0013

Mots clésself-reference, dynamic, Liar, TruthTeller

© 2022 Vladimir A. Stepanov, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
self-reference, dynamic, Liar, TruthTeller