Division by Zero: The Link between Numbers and Infinity

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Year:
2019
Type of Publication:
Article
Keywords:
Infinity, Zero, Division by Zero, Algebraic Representation of Infinity, Cardinality of Infinities
Authors:
Antonio Luigi Paolilli
Journal:
IJISM
Volume:
7
Number:
5
Pages:
212-214
Month:
September
ISSN:
2347-9051
Abstract:
Sanjeev Khuraijam demonstrates that ∞ 0 = 1. One of the three proofs that he presents starts from a result of Paolilli, that is 0 / 0 = 1. In this paper it is sustained that the result of Khuraijam corroborates the thesis of a successive paper of Paolilli in which it is sustained that infinities, even though having the same cardinality, are not all identical and then it should be opportune a more accurate algebraic representation of them, not defining all them with the same symbol (∞). Therefore in this paper it is sustained the thesis that the cardinality of an infinity does not describe its dimension but its typology.

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