This work is licensed under a Creative Commons Attribution 4.0 International License.

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