Paul Teller

Why does Bohr nowhere discuss the projection postulate? He has the courtesy to cast at least a few disparaging words at some other notions for which he has no use, such as quantum logic. But he will not even admit the projection postulate as a subject for discussion. Another way to raise the puzzle is to point out that, although Bohr has a lot to say about measurement, he won't even recognize the existence of what has come to be called the “problem of measurement”.I have exaggerated slightly. We have one relevant comment, in the report of the discussion after Bohr's talk at the 1938 Warsaw conference:Professor Bohr wished to say, relative to the question propounded by the president, that the duality he noticed in the interpretation of the formalism of quantum mechanics was, in his opinion, a question of choosing the most adequate description of the experiment.

Taking the semantic values of predicates to be precise properties leaves no room for predicate vagueness. I suggest instead understanding talk of properties as used in semantics as idealized placeholders for the imprecise results of navigating the word/world interface. Basic predications result by applying imprecise informal rules of word use, and it is in the imprecision of these rules that vagueness arises. The idealized property-placeholders then function to separate the messy process of navigating the word/world interface from the exact rules of semantic composition. This scheme applies a methodology of problem separation that is well known in the physical sciences.

Sainsbury argued that exact extensions for predicates entails the unacceptable infinite tower of higher order vagueness so that exact extensions must be rejected. I offer a second argument: The exact extensions arise when semantic values are assumed to be (exact) properties. But no assignment of unique properties to predicates could arise from any real-world finite basis. How, then, is talk of properties as semantic values to be understood? We distinguish the precise compositional rules of semantics from the operation of messy, imprecise rules at the word/world interface for applicability of minimal predicates. When such application is sufficiently clear it is idealized as property instantiation and semantic composition proceeds in familiar ways. These imprecise rules for application of minimal predicates provide the proper locus for study of vagueness. The conclusions thus far apply to show that higher order vagueness is not forced and that classical logic can generally be retained. I discuss implications for the sorites paradox. Abandoning properties entails abandoning simple correspondence truth understood as Pa is true just in case a has the property signified by P. As an alternative I outline a pragmatist approach to truth, the spirit of which is conveyed by the slogan, “To be true enough is to work well enough.”

Sainsbury argued that exact extensions for predicates entails the unacceptable infinite tower of higher order vagueness so that exact extensions must be rejected. I offer a second argument: The exact extensions arise when semantic values are assumed to be (exact) properties. But no assignment of unique properties to predicates could arise from any real-world finite basis. How, then, is talk of properties as semantic values to be understood? We distinguish the precise compositional rules of semantics from the operation of messy, imprecise rules at the word/world interface for applicability of minimal predicates. When such application is sufficiently clear it is idealized as property instantiation and semantic composition proceeds in familiar ways. These imprecise rules for application of minimal predicates provide the proper locus for study of vagueness. The conclusions thus far apply to show that higher order vagueness is not forced and that classical logic can generally be retained. I discuss implications for the sorites paradox. Abandoning properties entails abandoning simple correspondence truth understood as Pa is true just in case a has the property signified by P. As an alternative I outline a pragmatist approach to truth, the spirit of which is conveyed by the slogan, “To be true enough is to work well enough.”

Epistemic humility and semantic considerations for perspectival realism are the focus of Chapter 3 by Paul Teller. Teller characterizes perspectivism as the view that human knowledge is always from a particular perspective. Perspectival realism, he argues, is unlike scientific realism, which subsumes a particular kind of semantic realism, which Teller calls “referential realism.” Referential realism fails according to Teller, and his alternative to this general story of reference is pragmatic in character. The upshot of this pragmatic switch is that perspectivism becomes the only philosophy that doesn’t make referential success a miracle.

If the semantic values of predicates are, as Williamson assumes (_Philsophical Perspectives,_ _13_, 505–517, 1999, 509) properties in the intensional sense, then epistemicism is immediate. Epistemicism fails, so also this properties account of predicates. I deploy examination of Williamson’s account as a foil against properties as semantic values, showing that his two positive arguments for bivalence fail, as do his efforts to rescue epistemicism from obvious problems. In Part II I argue that, despite the properties account’s problems, it has an important role to play in compositional semantics. We may separate the problem of how smallest parts of language get attached to the world from the problem of how those parts compose 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 composition. Attachment to the world must be studied separately, and I review some of the options. As a bonus we see why the requirement of higher order vagueness is an artifact of taking properties as semantic values literally instead of as a simplifying idealization.

There are few, perhaps no known, exact, true, general laws. Some of the work of generalization is carried by ceteris paribus generalizations. I suggest that many models continue such work in more complex form, with the idea of ceteris paribus conditions thought of as extended to more general conditions of application. I use the term regularity guide to refer collectively to cp‐generalizations and such regularity‐purveying models. Laws in the traditional sense can then be thought of as idealizations, which idealize away from the conditions of application of regularity guides. If we keep clearly in mind the status of laws as such idealizations, problems surrounding traditional topics—such as lawlikeness, corresponding counterfactuals and modality—no longer look to be intractable.

Bogen and Woodward argued the indirect connection between data and theory in terms of their conception of “phenomena.” I outline and elaborate on their presentation. To illuminate the connection with contemporary thinking in terms of models, I distinguish between phenomena tokens, representations of which can be identified with data models, and phenomena types that can be identified with relatively low-lying models or aspects of models in the model hierarchy. Throughout I stress the role of idealization in these considerations.

The science of metrology characterizes the concept of precision in exceptionally loose and open terms. That is because the details of the concept must be filled in—what I call narrowing of the concept—in ways that are sensitive to the details of a particular measurement or measurement system and its use. Since these details can never be filled in completely, the concept of the actual precision of an instrument system must always retain some of the openness of its general characterization. The idea that there is something that counts as the actual precision of a measurement system must therefore always remain an idealization, a conclusion that would appear to hold very broadly for terms and the concepts they express

Quine's essay, “Ontological Relativity” [2] has brought about not a little confusion and disagreement. What is Quine's doctrine, and what are his arguments for it? The following paragraphs search for an answer. First a word about my aims. I will avoid adding to the already extensive discussion of Quine's older thesis of the indeterminacy of translation. Instead, where connections between the old and new doctrines become apparent, I will focus on the connections themselves and their repercussions for ontological relativity.

This paper examines and finds wanting the arguments against van Fraassen’s voluntarism, the view that the only constraint of rationality is consistency. Foundationalists claim that if we have no grounds or rationale for a belief or rule, rationality demands that we suspend it. But that begs the question by assuming that there have to be grounds or a rationale. Instead of asking, why should we hold a basic belief or rule, the question has to be: why should not we be committed as we are? Within a system we can sometimes find internal reasons. But, short of assuming foundationalism from the outset, when it comes to our evolving system as a whole there are no grounds for abandoning the commitments that we experience so strongly. Along the way the paper develops a systematic way of talking about terms that cause confusion because of variation in usage: foundationalism, relativism, basic beliefs and rules, voluntarism, etc.

The traditional way of thinking about science goes back to the corpuscular philosophy with its micro-reductive mechanism and metaphor of reading God's Book of Nature. This "story-1" with its rhetoric of exact truths contrasts with "story-2" which describes science as a continuation of the always imperfect powers of representation given to us by evolution. On story-2 reduction is one among other knowledge fashioning strategies and shares the imperfections of all human knowledge. When we appreciate that human knowledge always admits of refinement, what appear as "emergent properties" no long seems mysterious

We develop an approach to the problem of de se belief usually expressed with the question, what does the shopper with the leaky sugar bag have to learn to know that s/he is the one making the mess. Where one might have thought that some special kind of “de se” belief explains the triggering of action, we maintain that this gets the order of explanation wrong. We sketch a very simple cognitive architecture that yields de se-like behavior on which the action-triggering functionality of the belief-state is what counts it as de se rather than some prior property of being “de se” explaining the triggering of action. This functionality shows that action-triggering change in belief-state also undergirds a correlative change in the objective involved in the triggered action. This model is far too simple to have any claim to showing how the de se works for humans, but it shows, by illustration, that nothing mysteriously “subjective”” need be involved in this aspect of self-conception. While our exposition is very different from those of Perry and Recanati, all three of us are developing the same kind of view.

Nature is complex, exceedingly so. A repercussion of this “complex world constraint” is that it is, in practice, impossible to connect words to the world in a foolproof manner. In this paper I explore the ways in which the complex world constraint makes vagueness, or more generally imprecision, in language in practice unavoidable, illuminates what vagueness comes to, and guides us to a sensible way of thinking about truth. Along the way we see that the problem of ceteris paribus laws is exactly the problem of vagueness and susceptible to similar treatment.