Paul Teller

Science is widely taken to aim, and often to succeed, in producing truths, a “mirror of nature”. Not so. Instead, science fashions models, understood broadly as representations that are never both completely precise and completely accurate. . This chapter discusses how the misconception arose and how it is now being corrected. The account begins with a tension between the founding metaphors of the Scientific Revolution, reading God’s book of nature and the clock metaphor. The former pre-frames laws and physics fundamentalism; the latter the discovery of mechanisms, how things work. Laws aimed at truth, but the world is too complicated for us to get generalizations exactly right. Likewise, the complexity of mechanisms always requires simplifying idealization. Further, different problems require different idealizations and so a pluralism of accounts. The pluralism is unproblematic as different problems about the same subject matter can be consistently dealt with using very different schemes of simplification.

If the semantic value of predicates are, as Williamson assumes, properties, then epistemicism is immediate. Epistemicism fails, so also this properties view of predicates. I use examination of Williamsons position as a foil, showing that his two positive arguments for bivalence fail, and that his efforts to rescue epistemicism from obvious problems fail to the point of incoherence. In Part II I argue that, despite the properties view’s problems, it has an important role to play in combinatorial semantics. We may separate the problem of how smallest parts of language get attached to the world from the problem of how those parts combine to form complex semantic values. For the latter problem we idealize and treat the smallest semantic values as properties (and referents). So doing functions to put to one side how the smallest parts get worldly attachment, a problem that would just get in the way of understanding the combinatorics. Attachment to the world has to be studied separately, and I review some of the options. As a bonus we see why, mostly, higher order vagueness is an artifact of taking properties as semantic values literally instead of as a simplifying idealization.

In the contemporary discussion of hidden variable interpretations of quantum mechanics, much attention has been paid to the “no hidden variable” proof contained in an important paper of Kochen and Specker. It is a little noticed fact that Bell published a proof of the same result the preceding year, in his well-known 1966 article, where it is modestly described as a corollary to Gleason's theorem. We want to bring out the great simplicity of Bell's formulation of this result and to show how it can be extended in certain respects

One can give a strong sense to the idea that a relation does not 'reduce' to non-relational properties by saying that a relation does not supervene upon the non-relational properties of its relata. That there are such inherent relations I call the doctrine of relational holism, a doctrine which seems to conflict with traditional ideas about physicalism. At least parts of classical physics seem to be free of relational holism, but quantum mechanics, on at least some interpretations, incorporates the doctrine in an all pervasive way

We extend the work of French and Redhead [1988] further examining the relation of quantum statistics to the assumption that quantum entities have the sort of identity generally assumed for physical objects, more specifically an identity which makes them susceptible to being thought of as conceptually individuatable and labelable even though they cannot be experimentally distinguished. We also further examine the relation of such hypothesized identity of quantum entities to the Principle of the Identity of Indiscernibles. We conclude that although such an assumption of identity is consistent with the facts of quantum statistics, methodological considerations show that we should take quantum entities to be entirely unindividuatable, in the way suggested by a Fock space description.