Division by Zero: The Link between Numbers and Infinity
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- Infinity, Zero, Division by Zero, Algebraic Representation of Infinity, Cardinality of Infinities
- Antonio Luigi Paolilli
- 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.
Full text: IJISM_866_FINAL.pdf