The paper discusses legal implications of the expansion of practical uses of mathematics in social life. Taking as a starting point the omnipresence of mathematical infrastructures underlying policies, technology and markets, the paper proceeds by attending to relevant materials offered by general philosophy, legal philosophy, and the history and philosophy of mathematics. The paper suggests that the modern transformation of mathematics and its practical applications have spurred the emergence of multiple useful technologies and forms of social interaction but have impoverished (...) access to meanings originating in the lifeworld. The paper also argues that, as part of devices of interest aggregation and expert networks, mathematical infrastructures can be scrutinized by a revised form of legal practice that subjects them to legal critique and reconstruction in order to overcome conditions that have eroded the moral self-awareness of individuals and communities and their existential meanings. (shrink)

When reassessing the role of Debreu’s axiomatic method ineconomics, one has to explain both its success and unpopularity; onehas to explain the “bright shadow” Debreu cast on the discipline:sheltering, threatening, and difficult to pin down. Debreu himself didnot expect to have such an influence. Before he received the Bank ofSweden Prize in 1983 he had never openly engaged with themethodology or politics of mathematical economics. When in severalspeeches he later rigorously distinguished mathematical form fromeconomic content and claimed this as the (...) virtue of mathematicaleconomics, he did both: he defended mathematical reasoning againstthe theoretical innovations since the 1970s and expressed remorse forhaving promised too much because it cannot support claims abouteconomic content. The analysis of this twofold role of Debreu’saxiomatic method raises issues of the social and political responsibilityof economists over and above standard epistemic issues. (shrink)

The paper discusses legal implications of the expansion of practical uses of mathematics in social life. Taking as a starting point the omnipresence of mathematical infrastructures underlying policies, technology and markets, the paper proceeds by attending to relevant materials offered by general philosophy, legal philosophy, and the history and philosophy of mathematics. The paper suggests that the modern transformation of mathematics and its practical applications have spurred the emergence of multiple useful technologies and forms of social interaction but have impoverished (...) access to meanings originating in the lifeworld. The paper also argues that, as part of devices of interest aggregation and expert networks, mathematical infrastructures can be scrutinized by a revised form of legal practice that subjects them to legal critique and reconstruction in order to overcome conditions that have eroded the moral self-awareness of individuals and communities and their existential meanings. (shrink)