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The file has been updated the 25/12/2020
Click here to see the pdf file: Is infinity a number2020-12-25
This is the first official preprint from the Transverse Mathematics Trial
DOI: 10.13140/RG.2.2.19995.49442/2
ABSTRACT . Draft V3: I look at the interface between natural numbers and potential infinity, ∞, to show that
although ∞ can comply with trichotomy of real numbers, it is not compliant with a stricter trichotomy. Once
I conider potential infinity as a set the stricter trichotomy becomes useless. This article includes the following
content:
(1) potential ∞ is compliant to standard real number definition
(2) Potential infinity includes features of an indefinitely large amount of distinct numbers
(3) The need for strict real numbers definition and proof that ∞ is not a strict number
(4) Proof that ∞ is an indefinitely large union of loose numbers
(5) An alternative answer
(6) Proposal: potential infinity as a set Inf formed of actual infinities
(7) Conclusion