General Science and Philosophy

    

New Concept of H Removes Paradoxes of Infinity

Authors: William Hesslefors Nairn

An alternative framework to zero and infinity can be presented through the new concepts of 0^m and H^m. These bold definitions aim to mathematically represent infinitesimal and infinite values, preserving our intuition while reducing manyseemingly unnecessary contradictions encountered across several mathematical domains while dealing with infinity. I define 0^m as some hierarchy of infinitesimally small values, keeping the concept somewhat similar to finite numbers and using approximations (which have proved very useful in other areas of mathematics) as opposed to letting zero continue to represent absolute nothingness(and doing the same for H^m to replace the absurdity of infinity). Some applications include potential improvements to geometric series and supremum definitions, and clarifications to quadratic equation and inverse matrices - etc.Feedback on its implications and my communication are highly welcomed.

Comments: 9 Pages. Email: whnairn@gmail.com (Note by viXra Admin: Please cite and listed scientific references; Please submit article written with AI assistance to ai.viXra.org)

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[v1] 2025-06-28 23:11:41

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