Category Archives: Math. Thought and Its Objects

At the outset of this section, Parsons writes that one point at which “reservations about standard first-order logic as the universal measure of ontology can affect the notion of mathematical object is the ancient question whether reference to objects is … Continue reading →

Parsons has been proposing the view that “speaking of objects just is using the linguistic devices of singular terms, predication, identity and quantification”. And the focus so far has been on first-order quantification. But what about generalizations about properties, the … Continue reading →

Right, as promised, time to make a start commenting on Charles Parsons’s long awaited Mathematical Thought and Its Objects (CUP, 2008). For those who haven’t had a copy in their hands, this is a pretty substantial volume (pp. xx + … Continue reading →