Philosophy Colloquium: Anat Schechtman

Much philosophical work on the history of infinity has focused primarily on quantitative conceptions of infinity, operative in mathematics and physics. This talk explores the possibility of an alternative, non-quantitative notion of infinity, whose home is in metaphysics. First, I say what it is for a notion of infinity to be quantitative, and by contrast, what it is for a notion of infinity to be non-quantitative. Second, I develop two models of non-quantitative infinity, qualitative and ontic, each of which aims to make sense of divine infinity. I then argue that the ontic model is superior.