Christopher Peacocke Magnitudes: Metaphysics, Explanation, and Perception || Christopher Peacocke: Columbia University,
[email protected] 1 Magnitudes: Exposition of a Realistic Ontology I am going to argue for a robust realism about magnitudes, as irreducible ele- ments in our ontology. This realistic attitude, I will argue, gives a better meta- physics than the alternatives. It suggests some new options in the philosophy of science. It also provides the materials for a better account of the mind’s relation to the world, in particular its perceptual relations. As a preliminary, let us distinguish between magnitude-types, magnitudes, and magnitude-tropes. Magnitude-types are generic kinds of magnitudes. Dis- tance is one magnitude-type, whose instances are more specific distances, such as the distance measured by one meter, and the distance measured by ten miles. Gravitational mass is another magnitude-type, whose instances include the magnitude measured by one gram, and the magnitude measured by ten pounds weight. Magnitudes come in types. Every magnitude is of some magnitude type. As Frege said, “Something is a magnitude not all by itself, but only insofar as it belongs with other objects of a class which is a domain of magnitudes” - “Etwas ist eine Grösse nicht für sich allein sondern nur, sofern es mit andern Gegenständen einer Klasse angehört, die ein Grössengebiet ist” (1998: §161:159). If we slice more finely than magnitudes, we reach magnitude-tropes. Just as we distinguish between properties and tropes, between the property of being red and this particular thing’s redness, to be distinguished from a different ob- ject’s redness, so we can equally make the parallel distinction for magnitudes.