Reply to Valverde

Professor Thompson responds to Valverde\u27s argument, in the last issue, that his approach to Risk puts too much emphasis on the distinction between Risk subjectivism and Risk objectivism. In doing so, he asserts, inter alia, that anchoring Risk judgments in a probabilistic framework does not go far enough in rejecting reigning Risk-analysis notions of real Risk

Risk Objectivism and Risk Subjectivism: When Are Risks Real

Typically, those who discuss Risk management envision a two-step process wherein, first, Risk is more or less objectively appraised and, second, the acceptability of those Risks is subjectively evaluated. This paper questions the philosophical foundations of that approach

SUSTAINING ANIMAL AGRICULTURE AND ENVIRONMENTAL QUALITY IN THE SOUTH: WHAT HAPPENED AND WHY? DISCUSSION

Environmental Economics and Policy, Livestock Production/Industries,

Competing Conceptions of Risk

Recent literature is said to reflect growing acknowledgment of multiple conceptions of risk but often to obscure an important distinction. Building on work of Kristin Shrader-Frechette, the authors explore the potential for debate over competing philosophical conceptions of risk

AGAINST MECHANISM: METHODOLOGY FOR AN EVOLUTIONARY ECONOMICS

When the first economics departments were proposed at Cambridge and Oxford, the proponents thought acceptance would be improved if economics could be seen as incorporating the methods of physics. The enterprise was premised on the existence of economic laws that describe invariant relationships between events. These event regularities, like gravity, were not affected by human action. Humans could adapt and use them, but not change them. Thus the metaphor of "mechanism" seemed appropriate and became embedded in economists' language. It is common to use the term market mechanism to link prices and commodities. This suggests the economy is like turning a crank attached to a set of gears where there is a fixed relationship between the crank's motion and the last gear's motion. The gears have no ideas of their own, they don't get mad; there is no cognitive element between events and action.Institutional and Behavioral Economics,

Technological ethics in university-industry partnerships: The best of both worlds?

Paul Thompson suggests that technological ethics are today better served in the private sector than in the universities. If so, university-industry partnerships could have the result of improving the capacity for university-based science to address ethical issues, if they bring some of the norms and practices that are commonplace in the private sec­tor into the university. Or they could have the result of transferring the relatively weak ethics performance of university science to the private sector. While we can hope for the better outcome, his suspicion is that university-industry partnerships are likely to produce the latter

Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds

Our main result is that for all sufficiently large $x_0>0$, the set of commensurability classes of arithmetic hyperbolic 2- or 3-orbifolds with fixed invariant trace field $k$ and systole bounded below by $x_0$ has density one within the set of all commensurability classes of arithmetic hyperbolic 2- or 3-orbifolds with invariant trace field $k$. The proof relies upon bounds for the absolute logarithmic Weil height of algebraic integers due to Silverman, Brindza and Hajdu, as well as precise estimates for the number of rational quaternion algebras not admitting embeddings of any quadratic field having small discriminant. When the trace field is $\mathbf{Q}$, using work of Granville and Soundararajan, we establish a stronger result that allows our constant lower bound $x_0$ to grow with the area. As an application, we establish a systolic bound for arithmetic hyperbolic surfaces that is related to prior work of Buser-Sarnak and Katz-Schaps-Vishne. Finally, we establish an analogous density result for commensurability classes of arithmetic hyperbolic 3-orbifolds with small area totally geodesic $2$-orbifolds.Comment: v4: 17 pages. Revised according to referee report. Final version. To appear in Math. Res. Let

Arc Phenomena in low-voltage current limiting circuit breakers

Circuit breakers are an important safety feature in most electrical circuits, and they act to prevent excessive currents caused by short circuits, for example. Low-voltage current limiting circuit breakers are activated by a trip solenoid when a critical current is exceeded. The solenoid moves two contacts apart to break the circuit. However, as soon as the contacts are separated an electric arc forms between them, ionising the air in the gap, increasing the electrical conductivity of air to that of the hot plasma that forms, and current continues to flow. The currents involved may be as large as 80,000 amperes. Critical to the success of the circuit breaker is that it is designed to cause the arc to move away from the contacts, into a widening wedge-shaped region. This lengthens the arc, and then moves it onto a series of separator plates called an arc divider or splitter. The arc divider raises the voltage required to sustain the arcs across it, above the voltage that is provided across the breaker, so that the circuit is broken and the arcing dies away. This entire process occurs in milliseconds, and is usually associated with a sound like an explosion and a bright ash from the arc. Parts of the contacts and the arc divider may melt and/or vapourise. The question to be addressed by the Study Group was to mathematically model the arc motion and extinction, with the overall aim of an improved understanding that would help the design of a better circuit breaker. Further discussion indicated that two key mechanisms are believed to contribute to the movement of the arc away from the contacts, one being self-magnetism (where the magnetic field associated with the arc and surrounding circuitry acts to push it towards the arc divider), and the other being air flow (where expansion of air combined with the design of the chamber enclosing the arc causes gas flow towards the arc divider). Further discussion also indicated that a key aspect of circuit breaker design was that it is desirable to have as fast a quenching of the arc as possible, that is, the faster the circuit breaker can act to stop current flow, the better. The relative importance of magnetic and air pressure effects on quenching speed is of central interest to circuit design