Number Theory


0/0 = Nullity = Refuted!

Authors: Ilija Barukčić

Abstract Objectives: The scientific knowledge appears to grow by time. However, every scientific progress involves different kind of mistakes, which may survive for a long time. Nevertheless, the abandonment of partially true or falsified theorems, theories et cetera, for positions which approach more closely to the truth, is necessary. In a critical sense, a reduction of the myth in science demands the non-ending detection of contradictions in science and the elimination the same too. Methods: Nullity as one aspect of the trans-real arithmetic and equally as one of today’s approaches to the solution of the problem of the division of zero by zero is re-analyzed. A systematic mathematical proof is provided to prove the logical consistency of Nullity. Results: There is convincing evidence that Nullity is logically inconsistent. Furthermore, the about 2000 year old rule of the addition of zero’s (0+0+…+0 = 0) is proved as logically inconsistent and refuted. Conclusion: Nullity is self-contradictory and refuted. Keywords: Indeterminate forms, Classical logic, Zero divided by zero

Comments: 18 Pages.

Download: PDF

Submission history

[v1] 2019-03-30 12:21:44
[v2] 2019-04-01 14:56:16
[v3] 2019-04-15 08:36:19

Unique-IP document downloads: 71 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus