In the debate over whether mathematical facts, properties, or entities explain physical events (in what philosophers call “extra-mathematical” explanations), Aidan Lyon’s (2012) affirmative answer stands out for its employment of the program explanation (PE) methodology of Frank Jackson and Philip Pettit (1990). Juha Saatsi (2012; 2016) objects, however, that Lyon’s examples from the indispensabilist literature are (i) unsuitable for PE, (ii) nominalizable into non-mathematical terms, and (iii) mysterious about the explanatory relation alleged to obtain between the PE’s mathematical explanantia and (...) physical explananda. In this paper, I propose a counterexample to Saatsi’s objections. My counterexample is Frank Jackson’s (1998a) program explanation for color experience, which I argue needs recasting as an extra-mathematical PE due to its implicit reliance on reflectance, a property that suffers conceptual regress unless redefined with Fourier harmonics. Pace Saatsi, I argue that this recast example is an authoritative PE, non-nominalizable, and minimally esoteric. Important for the indispensability debate at large, moreover, is that my counterexample reifies Fourier harmonics without the Enhanced Indispensability Argument (an argument to which Lyon applies PE as a premise). Indispensabilists have long overlooked the conditionalization of a limited mathematical realism on property realism, and my counterexample to Saatsi exploits this conditionalization. (shrink)

Inside and outside of a Christian worldview, bioethicists have discussed ectopic pregnancy at some length as a maternal-fetal vital conflict. Most bioethicists agree that methotrexate and salpingostomy are low-risk, successful interventions for this life-threatening pathology, and are thus beneficent, just, and wholly acceptable. A small cohort of Christian, largely Catholic, bioethicists have reservations about methotrexate and salpingostomy, but cannot resolve their internal disputes about these because of flawed casuistry. This paper aims to settle the issue about whether methotrexate and salpingostomy (...) are acceptable within a Catholic worldview: despite the best arguments in favor of methotrexate as a moral option, it is morally unacceptable, and despite hesitation about salpingostomy related to analogies with previable delivery, it is the optimal procedure for ectopic pregnancy. (shrink)