Utility of formal logical principles and logical methods in the approach to the research phenomenon of doctoral theses in contemporary contexts

• Wilmer E. Sanz Fernández

  Universidad José Antonio Páez. San Diego, Venezuela

  https://orcid.org/0000-0001-7847-2372

• Alicia Teresa Yánez de Pizzella

  Universidad José Antonio Páez. San Diego, Venezuela

  https://orcid.org/0009-0000-7881-1434

The objective of this paper is to examine the utility of formal logical principles and logical methods in addressing the research phenomenon of doctoral theses today, aiming to identify their effective application and evaluate their benefits and limitations in the contemporary context. The theoretical foundation is based on the classical formal logical principles systematized by Aristotle (Identity, Non-Contradiction, and Excluded Middle), integrating Leibniz's Principle of Sufficient Reason and Spinoza's notion of causality. It also incorporates reinterpretations by authors such as Hegel and Schopenhauer, who suggest that logic must adapt to complexity. The applied methodology is case analysis, illustrating the usefulness of these approaches in two doctoral research scenarios: the need for ethical training in robotics engineers and the influence of language in university-level mathematics teaching. The results show that logical principles are essential for formulating hypotheses, constructing coherent arguments, ensuring the validity of conclusions, and facilitating the integration of diverse research paradigms. Furthermore, it is posited that in the twenty-first century, logic manifests as propositional, modal, and fuzzy logic, whose methods influence contemporary design and management approaches, such as Top-Down and Bottom-Up schemes. Finally, in conclusion, it is reaffirmed that these principles and methods are fundamental for rigor and coherence in doctoral research, offering a solid framework applicable to diverse areas such as robotics, ethics, language, and mathematics.

1. Wilmer E. Sanz Fernández, Universidad José Antonio Páez. San Diego, Venezuela

   Ingeniero Electricista Universidad de Carabobo (UC), Especialista en Docencia para la Educación Superior UC, Magister Scientiarum en Instrumentación Universidad Central de Venezuela (UCV), Doctorando en Ciencias de la Educación, mención Educación Universitaria Universidad José Antonio Páez (UJAP).

2. Alicia Teresa Yánez de Pizzella, Universidad José Antonio Páez. San Diego, Venezuela

   Ingeniero Mecánico Universidad de Carabobo (UC). Magister Scientiarum en Enseñanza de la Matemática (UC), Doctorando en Ciencias de la Educación, mención Educación Universitaria, Universidad José Antonio Páez (UJAP).

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Copyright (c) 2026 Wilmer E. Sanz Fernández, Alicia Teresa Yánez de Pizzella

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

ISSN:2244-7857

Depósito Legal: ppi200902CA3925