Karpińska’s Paradox in Dimension Three

Bertrand’s Paradox Revisited: More Lessons about that Ambiguous Word, Random

The Bertrand paradox question is: “Consider a unit-radius circle for which the length of a side of an inscribed equilateral triangle equals 3 . Determine the probability that the length of a ‘random’ chord of a unit-radius circle has length greater than 3 .” Bertrand derived three different ‘correct’ answers, the correctness depending on interpretation of the word, random. Here we employ geomet...

Greenberger-Horne-Zeilinger paradoxes for many qudits.

We construct Greenberger-Horne-Zeilinger (GHZ) contradictions for three or more parties sharing an entangled state, the dimension of each subsystem being an even integer d. The simplest example that goes beyond the standard GHZ paradox (three qubits) involves five ququats (d=4). We then examine the criteria that a GHZ paradox must satisfy in order to be genuinely M partite and d dimensional.

The Paradox of Health Policy: Revealing the True Colours of This ‘Chameleon Concept’; Comment on “The Politics and Analytics of Health Policy”

Health policy has been termed a ‘chameleon concept’, referring to its ability to take on different forms of disciplinarity as well as different roles and functions. This paper extends Paton’s analysis by exploring the paradox of health policy as a field of academic inquiry—sitting across many of the boundaries of social science but also marginalised by them. It situates contemporary approaches ...

Comment: Understanding Simpson’s Paradox

I thank the editor, Ronald Christensen, for the opportunity to discuss this important topic and to comment on the article by Armistead. Simpson’s paradox is often presented as a compelling demonstration of why we need statistics education in our schools. It is a reminder of how easy it is to fall into a web of paradoxical conclusions when relying solely on intuition, unaided by rigorous statist...

The Paradox of Infectious Diseases in India Kumarakom-a Hidden Gem