Journal Title Indian Journal of Science and Technology Journal Abbreviation indjst Publisher Group Informatics (India) Limited (gjeis) Website http://gjeis.org/index.php/indjst

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Title	Logical Analysis of the Foundations of Differential and Integral Calculus
Authors	Kalanov, Temur Z.
Abstract	Critical analysis of the generally accepted (standard) foundations of differential and integral calculus is proposed. Methodological basis of the analysis is the unity of formal logic and of rational dialectics. It is shown that the generally accepted foundations are based on the logically erroneous concepts of "increment as variable quantity", "infinitesimal quantity (uninterruptedly diminishing quantity)", "derivative" and, consequently, represent incorrect basis of mathematics.
Publisher	Indian Society for Education and Environment (ISEE)
Date	2011-12-01
Source	Indian Journal of Science and Technology Volume 4, Issue 12, December 2011

 

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