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There is a long tradition comparing moral knowledge to mathematical knowledge. In this paper, I discuss apparent similarities and differences between knowledge in the two areas, realistically conceived. I argue that many of these are only apparent, while others are less philosophically significant than might be thought. The picture that emerges is surprising. There are definitely differences between epistemological arguments in the two areas. However, these differences, if anything, increase the plausibility of moral realism as compared to mathematical realism. It (...) |
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Language suggestive of natural law ethics, similar to the Catholic understanding of ethical foundations, is prevalent in a number of disciplines. But it does not always issue in a full-blooded commitment to objective ethics, being undermined by relativist ethical currents. In law and politics, there is a robust conception of "human rights", but it has become somewhat detached from both the worth of persons in themselves and from duties. In education, talk of "values" imports ethical considerations but hints at a (...) |
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The teaching of the Aquinas Academy in its first thirty years was based on the scholastic philosophy of Thomas Aquinas, then regarded as the official philosophy of the Catholic Church. That philosophy has not been so much heard of in the last thirty years, but it has a strong presence below the surface. Its natural law theory of ethics, especially, still informs Vatican pronouncements on moral topics such as contraception and euthanasia. It has also been important in Australia in the (...) |
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Mathematics has always been a core part of western education, from the medieval quadrivium to the large amount of arithmetic and algebra still compulsory in high schools. It is an essential part. Its commitment to exactitude and to rigid demonstration balances humanist subjects devoted to appreciation and rhetoric as well as giving the lie to postmodernist insinuations that all “truths” are subject to political negotiation. In recent decades, the character of mathematics has changed – or rather broadened: it has become (...) |
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Quantitative analysts or “Quants” are a source of competitive advantage for financial institutions. They occupy the relatively powerful but often misunderstood role of modeling, structuring, and pricing complex financial instruments in the capital markets. But Quants often function in a discipline free from ethical burdens. Models used to price complex instruments are usually beyond the mathematical understanding of financial sector participants who rely heavily on the integrity of the Quant who built them. Although there has been some attempt to cover (...) |
