Infinitesimal Idealization, Easy Road Nominalism, and Fractional Quantum Statistics

It has been recently debated whether there exists a so-called “easy road” to nominalism. In this essay, I attempt to fill a lacuna in the debate by making a connection with the literature on infinite and infinitesimal idealization in science through an example from mathematical physics that has been largely ignored by philosophers. Specifically, by appealing to John Norton’s distinction between idealization and approximation, I argue that the phenomena of fractional quantum statistics bears negatively on Mary Leng’s proposed path to easy road nominalism, thereby partially defending Mark Colyvan’s claim that there is no easy road to nominalism

Model templates within and between disciplines: from magnets to gases – and socio-economic systems

One striking feature of the contemporary modelling practice is its interdisciplinary nature. The same equation forms, and mathematical and computational methods, are used across different disciplines, as well as within the same discipline. Are there, then, differences between intra- and interdisciplinary transfer, and can the comparison between the two provide more insight on the challenges of interdisciplinary theoretical work? We will study the development and various uses of the Ising model within physics, contrasting them to its applications to socio-economic systems. While the renormalization group (RG) methods justify the transfer of the Ising model within physics – by ascribing them to the same universality class – its application to socio-economic phenomena has no such theoretical grounding. As a result, the insights gained by modelling socio-economic phenomena by the Ising model may remain limited

Some Methodological Aspects of the Controversy between Mainstream Economics and Institutionalism

Mainstream economics has been running the gauntlet of adverse criticism for decades. These critiques claim as a message of central importance that mainstream economics has lost its relevance for understanding reality. By making a brief comparison between the methodological strategies of the main stream and institutional economics I suggest that the firm demarcation between the streams stems from the difference between their methodologies. Its peculiar interest directed mainstream economics to take a unique methodological path and consequently the adherents have not been able to be on the lookout for certain facets of socio-economic reality. However, the chosen path, the axiomatic-deductive strategy proved to be an appropriate method for identifying economic laws. This claim is justified even by some recent efforts of new institutional economics. In order to support the conversation between the schools I highlight some causes that currently make it impossible to start a rational discourse