4 papers
Population-Weighted Density, Density-Weighted Population, Granularity, Paradoxes: a Recapitulation
Anthony B. Morton
Quantifying the population density of an urban area is a fraught issue. Measures of density are often defined differently from place to place or applied inconsistently, and argumen…
Throwing Darts at a Ruler: Unpacking the Intuition Behind Freiling's Axiom of Symmetry
Anthony B. Morton
It is well-known that the Continuum Hypothesis (CH) is independent of the other axioms of Zermelo-Fraenkel set theory with choice (ZFC). This raises the question of whether an intu…
Prize insights in probability, and one goat of a recycled error: Jason Rosenhouse's The Monty Hall Problem
Anthony B. Morton
The Monty Hall problem is the TV game scenario where you, the contestant, are presented with three doors, with a car hidden behind one and goats hidden behind the other two. After…
A Note on Walking Versus Waiting
Anthony B. Morton
This mathematical recreation extends the analysis of a recent paper, asking when a traveller at a bus stop and not knowing the time of the next bus is best advised to wait or to st…