In the 5th century BCE, Zeno of Elea devised dozens of arguments against the possibilities of motion, change, and plurality. The loveliest of these, the Arrow Paradox, is briefly stated: "The flying arrow is motionless." In 1970, Wes Salmon published an anthology devoted to Zeno's Paradoxes and amply demonstrating their capacity to reward scrutiny from the perspectives afforded by mathematics and physics as they themselves move forward. Wes's introduction to that anthology was my first assignment in my first philosophy course. In 2019, I'll try to demonstrate that Zeno's paradoxes continue...
Quantum mechanics is a strange theory, and it has been used to justify all manner of religious claims such as extra-sensory perception. This year we bring together five experts on the physics of quantum mechanics to discuss what we know and what we don’t know. We will work both to make the basic laws of quantum mechanics accessible to the non-expert, while at the same time addressing cutting-edge debates in the philosophy and application of quantum physics.
In the 1980s, David Mermin derived a simple example of a Bell inequality and showed that it is violated in measurements on entangled quantum systems. In this talk, I reanalyze Mermin’s example, using correlation arrays, the workhorse in Jeffrey Bub’s Bananaworld (2016). For the class of all non-signaling correlations conceivable in the kind of experiment considered by Mermin, I derive both the Bell inequality, a necessary condition for such correlations to be allowed classically, and the Tsirelson bound, a necessary condition for them to be allowed quantum-mechanically. I show that the Tsirelson bound for these experiments follows directly from the geometry going into their quantum-mechanical analysis. I use this example to promote Bubism (not to be confused with QBism though both are information-theoretic approaches to the foundations of quantum mechanics). I do so by comparing the rules for probabilities in quantum mechanics, illustrated by my Bubist reanalysis of Mermin’s example, to the rules for spatio-temporal behavior in special relativity.