DECONSTRUCTING VECTOR CALCULUS: A RIGOROUS ANALYSIS FROM A CRITICAL PERSPECTIVE
Abstract
Vector calculus is a foundational mathematical tool extensively utilized in the natural sciences. While it has proven to be a robust and practical framework, the question of its absolute validity remains open. The foundations of vector calculus demand formal-logical scrutiny to establish a more comprehensive understanding. This work explores the critical analysis of vector calculus within the integrated framework of formal logic and rational dialectics. It offers an essential reevaluation of the foundations of vector calculus, emphasizing the necessity for a structured and logical basis. The unity of formal logic and rational dialectics provides a methodological foundation for this analysis. By doing so, this research contributes to a more profound comprehension of the theoretical underpinnings of vector calculus, ensuring its robustness and applicability in scientific practice.
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Vector calculus, formal-logical analysis, mathematical foundations, rational dialectics, and scientific practiceDownloads
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Copyright (c) 2023 Aleksei Petrovich Ivanov
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