Web Reference: Aug 13, 2023 · From an excellent answer here, I gather that 1. is taken to mean that the hotel is hosting an infinite set of guests and that 2. means things have changed, we now have to reassign every room again to accommodate a new infinite set of guests (eg: the ones before + 1). I saw other threads and answers. But the "new" set is just the same old set. The infinite manifold of two or three dimensions, the mathematical beings which depend on a number of variables greater even than three, any number in fact, still have no greater power than the linear continuum. Dec 10, 2023 · Here's a proof by induction that the resistance of a finite version of this ladder with $\ n\ $ rungs is indeed homogeneous of degree $1$ in the variable $\ R\ .$ Taking the limit as $\ n\rightarrow\infty\ $ (assuming it exists $\left.\right.^\color {red} {\dagger}$) then shows that the resistance of the infinite ladder depicted in Figure $2 ...
YouTube Excerpt: Repo → https://github.com/cosdensolutions/code/tree/master/videos/long/

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Last Updated: April 15, 2026

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