Anthony F. Peressini

Much of the current thought concerning mathematical ontology and epistemology follows Quine and Putnam in looking to the indispensable application of mathematics in science. A standard assumption of the indispensability approach is some version of confirmational holism, i.e., that only "sufficiently large" sets of beliefs "face the tribunal of experience." In this paper I develop and defend a distinction between a pure mathematical theory and a mathematized scientific theory in which it is applied. This distinction allows for the possibility that pure mathematical theories are systematically insulated from such confirmation in virtue of their being distinct from the "sufficiently large" blocks of scientific theory that are empirically confirmed.

Although accounts of evolutionary altruism which leave the question of whether altruism can evolve in nature open to empirical confirmation/refutation have been worked out for special (two-trait) cases, no real effort has been made to work out such accounts for general (N-trait) cases. It is tempting to take this lack of attention as evidence for an inextricably conventional element, which precludes such accounts from being of practical scientific value. I argue that such accounts do generalize in a natural way. As is often the case in science, generalizing theoretically simplified notions is not straightforward because of issues hidden in the special case. These issues do not, however, turn out to be essentially conventional

Giulio Tononi (2008) has offered his integrated information theory of consciousness (IITC) as a “provisional manifesto.” I critically examine how the approach fares. I point out some (relatively) internal concerns with the theory and then more broadly philosophical ones; finally I assess the prospects for IITC as a fundamental theory of consciousness. I argue that the IITC’s scientific promise does carry over to a significant extent to broader philosophical theorizing about qualia and consciousness, though not as directly as Tononi suggests, since the account is much more focused on the qualitative character of experience rather than on consciousness itself. I propose understanding it as “integrated information theory of qualia” (IITQ), rather than of consciousness.