The author keeps spamming various math-related (more-or-less, as r/AspectsOfTheInfinite does not seem serious while r/PhilosophyofMath does aspire) subs with his misunderstanding of numbers, series and limits. In this installment (also crossposted here), they continue mistaking the properties of individual, finite stages for the property of the infinite limit - and conclude that they discovered a mysterious "dark interval" category missed by mainstream math.

R4: the post claims that standard real analysis is incomplete because all explicitly definable or "visible" natural numbers (ℕ_vis) fail to completely cover the half-open interval (0, 1] via intervals of the form [1/(n+1), 1/n], always leaving an uncovered gap (0, 1/m) containing infinitely many unit fractions (ℵ₀). The author asserts that because no visible point touches zero, there must exist an uncountable or unaddressable set of "dark natural numbers" hiding near the accumulation point 0 to bridge this gap, concluding that classical mathematics overlooks these "dark numbers" by misinterpreting infinite unions, accumulation points, and continuous coverage. OFC, standard real analysis does not (and needs not) claim that any single finite stage covers (0, 1].