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Metaphysica

International Journal for Ontology and Metaphysics

Ed. by Hüntelmann, Rafael / Meixner, Uwe / Tegtmeier, Erwin

Together with Cumpa, Javier

Editorial Board Member: Addis, Laird / Davies, Brian / Hochberg, Herbert / Johansson, Ingvar / Kanzian, Christian / Klima, Gyula / Koons, Robert C / Künne, Wolfgang / Löffler, Winfried / Mulligan, Kevin / Nef, Frederic / Oaklander, Nathan / Oderberg, David / Orilia, Francesco / Plantinga, Alvin / Potrc, Matjaz / Rapp, Christof / Reicher-Marek, Maria Elisabeth / Schantz, Richard / Scholz, Oliver / Seibt, Johanna / Simons, Peter / Smith, Barry / Stoecker, Ralf / Strobach, Niko / Trettin, Käthe / Wachter, Daniel

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1874-6373
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The Only Probability Is Verbal Probability

George Masterton
Published Online: 2014-01-07 | DOI: https://doi.org/10.1515/mp-2014-0005

Abstract

In 1977 van Fraassen showed convincingly, and in detail, how one can give a dissentive answer to the question “[a]re there necessities in nature?”. In this paper, I follow his lead and show in a similar fashion and detail, how it is possible to give a dissentive answer to: Are there probabilities in nature? This is achieved by giving a partial analysis – with the aid of Kaplanian pragmatics – of objective chance in terms of that credence that is reasonable where prevailing laws and conditions exhaust one’s evidence. This template belongs firmly within the established Bayesian program of analysing objective chance as ultimate belief. Its contribution to that program is the same as van Fraassen’s contribution to the empiricist program of analysing physical necessity; namely, it demonstrates the logical possibility of such an analysis.

Keywords: Physical probability; Physical necessity; Kaplan’s pragmatics; Total evidence

References

  • van Fraassen, B. 1977. “The Only Necessity Is Verbal Necessity.” The Journal of Philosophy 74(2):71–85.CrossrefGoogle Scholar

  • van Fraassen, B. 1979. “Propositional Attitudes in Weak Pragmatics.” Studia Logica 38(4):365–374.CrossrefGoogle Scholar

  • van Fraassen, B. 1989. Laws and Symmetry. Oxford:Oxford University Press.Google Scholar

  • Hall, N. 1994. “Correcting the Guide to Objective Chance.” Mind 103(412):505–17.Web of ScienceCrossrefGoogle Scholar

  • Kaplan, D. 1968. “Quantifying in.” Synthese, 19(1–2):178–214.CrossrefGoogle Scholar

  • Kaplan, D. 1989. “Demonstratives: An Essay on Semantics, Logic, Metaphysics, and Epistemology of Demonstratives and Other Indexicals.” In Themes from Kaplan, edited by J.Almog, J.Perry, and H.Wettstein, 483–563. Oxford University Press.Google Scholar

  • Lewis, D. 1983. “Attitudes de dicto and de se.” In Philosophical Papers Volume I, 133–60.New York:Oxford University Press. Originally published in (1979). Philosophical Review 88:513–43.CrossrefGoogle Scholar

  • Lewis, D. 1986. “A Subjectivist’s Guide to Objective Chance.” In Philosophical Papers Volume II, 83–133.New York:Oxford University Press. Originally published in R., Jeffrey ed., Studies in Inductive Logic and Probability Volume II (Berkley, CA: University of California Press, 1980).Google Scholar

  • Meacham, C. J. G. 2010. “Two Mistakes Regarding the Principal Principle.” British Journal of Philosophy of Science 61:407–31.CrossrefWeb of ScienceGoogle Scholar

  • Williamson, J. 2008. “Philosophies of Probability.” In Handbook of the Philosophy of Mathematics, edited by A. Irvine. Vol. 4 of the Handbook of the Philosophy of Science, 493–533. North Holland: Elsevier.Google Scholar

  • Williamson, J. 2010. In Defence of Objective Bayesianism. Oxford: Oxford University Press.Google Scholar

About the article

Published Online: 2014-01-07

Published in Print: 2014-04-01


For example, in conversation with Carl Hoefer he argued for the position that while there are no probabilities in nature, there are necessities.

Some examples of the creed, where E is the ultimate evidence proposition and where is to be read as “the rational credence in A, where one’s evidence is exhausted by E”, are Lewis’ (1980) Reformulated Principle: , where is the ultimate evidence that is true at world w and time t and is the chance at t and w function. Hall’s (1994) Principle: Meacham’s (2010) Principle: , where is the E-grounded or E-entailed chance function.Williamson’s (2010) Principle: If E entails , then .

This is so for no other reason than that I think I can see how a reduction to ultimate belief can be achieved, whereas I cannot see how to demonstrate the convergence required for the reduction of these probabilities to belief at the convergent limit of updating.

For the sake of simplicity I ignore the inertial frame relativity of simultaneity. It can be accommodated in what is to follow by taking the frame of the state to be the inertial frame of the person making the physical probability ascription, or it can just be left as an arbitrarily chosen Cauchy surface.

With only a slight, and obvious, alteration to the reduction schema for physical probability ascriptions, one can also give a similar analysis for claims like “The objective chance of A is in .”

This is not true of projectivist positions on lawhood; those where there is no objectivity to the extension of the term “natural law” over and above our intersubjective agreement – however this is obtained – on what is to count as a natural law. Typically, such intersubjective agreement will be a fleeting thing, so the extension of “natural law” will change over time and perhaps even across social context. For such a position, the law sentence will be sensitive to all aspects of the context in which it is used. This causes no problems for van Fraassen’s reduction– one simply retains as the argument of N, where t is a rigid designator of a time and a designates that actual-at-w′’s individual’s counterpart at w′. What is incompatible with van Fraassen’s reduction is his later (van Fraassen 1989) claim that there are no natural laws. Fortunately, I see no reason why an empiricist need be forced to such an extreme.

Where context makes it plain that is a proposition, I follow van Fraassen in omitting the square brackets.

Proof:

On the basis of these commonly agreed distinctions, I tend to side with those who assert that of these three attitudes, only de dicto belief qualifies as a propositional attitude.

There are cogent arguments for the reducibility of r-belief to d-belief—Kaplan (1968) himself even attempted such a reduction explicitly – and I am sympathetic to that program; however, it is harder to sustain the view that all belief can be reduced to d-belief once one has recognised the legitimacy of belief de se. Lewis (1979) argues convincingly when introducing s-belief that though d-belief is reducible to s-belief, the converse is not the case.


Citation Information: Metaphysica, ISSN (Online) 1874-6373, ISSN (Print) 1437-2053, DOI: https://doi.org/10.1515/mp-2014-0005.

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©2014 by Walter de Gruyter Berlin / Boston. Copyright Clearance Center

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