Existence of Fully and Accurately Defined Systems as Per Gödel’s Incompleteness Theorems

Sk Asraful Karim¹

Section:Review Paper, Product Type: Journal-Paper
Vol.10 , Issue.4 , pp.41-46, Aug-2023

Online published on Aug 31, 2023

Copyright © Sk Asraful Karim . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
Gödel’s incompleteness theorems only have implications for the foundations of mathematics and logic. Now if we apply Gödel’s incompleteness theorems to every individual system, we come to know that the definitions (theorems, equations, and laws) are also incomplete and inconsistent for individual systems; in other words, a completely defined system doesn’t exist. For an isolated system: 1. In an isolated system, for any individual system: - For existing definitions: i. The definition of the system is wrong. ii. If the definition is right, then it contradicts the existence of the system. For the process of definition: In the process of defining a system (within an isolated system), the interaction between the definition and the existence of a system goes such a way that: i. The system can change into another system or systems (similar or absolutely different) at the end of the process of definition. ii. The system can change at every step of the definition, ensuring that the definition must be wrong or the existence of the system may hamper iii. If the definition is correct and changing the system is not possible, the system will destroy itself. The ability of a system to change depends on its amount of energy and the possible stages within that energy. A system can’t be changed into any other system; the change is only possible and sustainable if the change or changes do not break the causality. 2. For an open system and a closed system: As open and closed systems interact with their surroundings, their definitions are disrupted by the presence of other systems, while they also react as per the above-mentioned relation as isolated systems do with their definitions.

Key-Words / Index Term :
Gödel’s Incompleteness Theorems , System, Definition, Incompleteness, Inconsistency, Existence

References :
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