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math.LO2024
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…
math.LO2024
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…
math.LO2024
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…