These comments are part of a book symposium on Karen Bennett's book, _Making Things Up_.

Alberto Casullo ("Necessity, Certainty, and the A Priori", Canadian Journal of Philosophy 18, 1988) argues that arithmetical propositions could be disconfirmed by appeal to an invented scenario, wherein our standard counting procedures indicate that 2 + 2 != 4. Our best response to such a scenario would be, Casullo suggests, to accept the results of the counting procedures, and give up standard arithmetic. While Casullo's scenario avoids arguments against previous "disconfirming" scenarios, it founders on the assumption, common to scenario and (...) response, that arithmetic might be independent of standard counting procedures. Here I show, by attention to tallying as the simplest form of counting, that this assumption is incoherent: given standard counting procedures, then (on pain of irrationality) arithmetical theory follows. (shrink)

Tropes is a systematic investigation into the metaphysics of properties, aiming to motivate and defend trope theory, and more specifically Natural Class Trope Nominalism (NCTN). Ehring’s book treats an impressive span of relevant positions, considerations, debates and objections with charity and clarity; it’s also a real page-turner, at least if one has (as I do) a taste for analytic twists and turns.