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13 votes
2 answers
1k views

On Hamkins' answer to a problem by Michael Hardy

Based on a post by Michael Hardy and Hamkins' answer to it Andreas Blass, Will Brian, Joel Hamkins, Michael Hardy and Paul Larson introduced a new cardinal characteristic of the continuum $\mathfrak{...
Rahman. M's user avatar
  • 2,381
4 votes
1 answer
119 views

Proving Equal Set Sizes in Sequential Point Selection on a Real Interval with Variable-Length Intervals

I'm here as an engineer working on a point sampling algorithm and I've noticed that when I perform the algorithm on an ordered set of points in one direction it selects the exact same number of points ...
Erik Stens's user avatar
1 vote
1 answer
184 views

Meeting a set of spheres in $\mathbb{R}^n$

Let $n \geq 1$ be an integer. Let us call $S\subseteq \mathbb{R}^{n+1}$ an $n$-sphere if there is $x\in \mathbb{R}^{n+1}$ and $r\in \mathbb{R}$ with $r>0$ such that $$S = \{z\in \mathbb{R}^{n+1}: \|...
Dominic van der Zypen's user avatar