6 papers
Uniform terms and local elements
Volodymyr Zhuravlov
The article explores function terms within uniform theories. It examines the uniformity of these theories through an algebraic lens. The paper compares the uniformity of terms and…
Multiplicative logic in arithmetic
Volodymyr Zhuravlov
The article explores the arithmetic of multiplication as a model of many valued projective logic. It is demonstrated that closed numerical intervals within this framework constitut…
Associative ideals in monoids
Volodymyr Zhuravlov
The article investigates the properties of associative ideals in monoids. Such ideals have some applications in the logic of non-standard sequences and category theory. The relatio…
Nonclassical logics and multivariate truth values
Volodymyr M. Zhuravlov
The article demonstrates that logic is not necessarily singleton and does not always have the standard interpretation of negation. Appropriate generalizations of logic are suggeste…
Predicates and terms from non-standard sequences
V. M. Zhuravlov
The article proposes a method for constructing non-standard theories based on terms from partially existing sequences of elements. The method is illustrated by the example of the t…
Uniformity_and_nonuniformity
V. M. Zhuravlov
The article introduces the concept of uniformity, which is formulated as a scheme of axioms. The connection of this concept with ordered sets is studied. The effectiveness of using…