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- Jed Z. Buchwald & George E. Smith (2001). Incommensurability and the Discontinuity of Evidence. Perspectives on Science 9 (4):463-498.: Incommensurability between successive scientific theories—the impossibility of empirical evidence dictating the choice between them—was Thomas Kuhn's most controversial proposal. Toward defending it, he directed much effort over his last 30 years into formulating precise conditions under which two theories would be undeniably incommensurable with one another. His first step, in the late 1960s, was to argue that incommensurability must result when two theories involve incompatible taxonomies. The problem he then struggled with, never obtaining a solution that he found entirely satisfactory, was how to extend this initial line of thought to sciences like physics in which taxonomy is not so transparently dominant as it is, for example, in chemistry. This paper reconsiders incommensurability in the light of examples in which evidence historically did and did not carry over continuously from old laws and theories to new ones. The transition from ray to wave optics early in the nineteenth century, we argue, is especially informative in this regard. The evidence for the theory of polarization within ray optics did not carry over to wave optics, so that this transition can be regarded as a prototypical case of discontinuity of evidence, and hence of incommensurability in the way Kuhn wanted. Yet the evidence for classic geometric optics did carry over to wave optics, notwithstanding the fundamental conceptual readjustment that Fresnel's wave theory required.
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Since 1962 Kuhn's concept of incommensurability has undergone a process of transformation. His current account of incommensurability has little in common with his original account of it. Originally, incommensurability was a relation of methodological, observational and conceptual disparity between paradigms. Later Kuhn restricted the notion to the semantical sphere and assimilated it to the indeterminacy of translation. Recently he has developed an account of it as localized translation failure between subsets of terms employed by theories.
Philosophers and historians of science have made the claim that successive scientific theories are incommensurable, that is, that many or all of their concepts fail to coincide. This claim has been echoed by cognitive psychologists who have applied it to the successive conceptual schemes of young children, or of children and adults. This paper examines the psychological evidence for the claim and proposes ways of reinterpreting it which do not involve imputing incommensurability. An alternative approach to understanding conceptual change is suggested, according to which novel concepts are introduced against a background of shared concepts, rather than as part of incommensurable conceptual schemes.
This paper addresses a relatively common scientific (as opposed to philosophical) conception of intertheoretic reduction between physical theories. This is the sense of reduction in which one (typically newer and more refined) theory is said to reduce to another (typically older and coarser) theory in the limit as some small parameter tends to zero. Three examples of such reductions are discussed: First, the reduction of Special Relativity (SR) to Newtonian Mechanics (NM) as (v/c)20; second, the reduction of wave optics to geometrical optics as 0; and third, the reduction of Quantum Mechanics (QM) to Classical Mechanics (CM) as0. I argue for the following two claims. First, the case of SR reducing to NM is an instance of a genuine reductive relationship while the latter two cases are not. The reason for this concerns the nature of the limiting relationships between the theory pairs. In the SR/NM case, it is possible to consider SR as a regular perturbation of NM; whereas in the cases of wave and geometrical optics and QM/CM, the perturbation problem is singular. The second claim I wish to support is that as a result of the singular nature of the limits between these theory pairs, it is reasonable to maintain that third theories exist describing the asymptotic limiting domains. In the optics case, such a theory has been called catastrophe optics. In the QM/CM case, it is semiclassical mechanics. Aspects of both theories are discussed in some detail.
In this paper I examine a cognitive mechanism of incommensurability. Using the frame model of concept representation to capture structural relations within concepts, I reveal an ontological difference between object and event concepts: the former are spatial but the latter temporal. Experiments from cognitive sciences further demonstrate that the mind treats object and event concepts differently. Thus, incommensurability can occur in conceptual change across different ontological categories. I use a historical case to illustrate how the ontological difference between an object and an event concept actually caused incommensurability in the context of nineteenth‐century optics. The cognitive and historical analyses indicate that incommensurability can be a local phenomenon and does not necessarily imply incomparability.
Kuhn's incommensurability thesis has generally been interpreted by friends and foes alike so as to preclude direct rational communication across revolutionary divides in science. In this paper, a weaker form of incommensurability is sketched which allows eventual comparison of incommensurable theories, but is consistent with Kuhn's model of science. Incommensurability occurs whenever the knowledge or ability to translate from the language of one theory to that of another is lacking. It can be resolved by acquiring the necessary knowledge or ability.
No categories
: This paper continues my application of theories of concepts developed in cognitive psychology to clarify issues in Kuhn's mature account of scientific change. I argue that incommensurability is typically neither global nor total, and that the corresponding form of scientific change occurs incrementally. Incommensurability can now be seen as a local phenomenon restricted to particular points in a conceptual framework represented by a set of nodes. The unaffected parts in the framework constitute the basis for continued communication between the communities supporting alternative structures. The importance of a node is a measure of the severity of incommensurability introduced by replacing it. Such replacements occur incrementally so that changes like that from the conceptual structure of Aristotelian celestial physics to the conceptual structure of Newtonian celestial physics occur in small stages over time, and for each change it is in principle possible to identify the arguments and evidence that led historical actors to make the revisions. Thus the process of scientific change is a rational one, even when its beginning and end points are incommensurable conceptual structures. It is also apparent, from a detailed examination of the conceptual structure of astronomy at the time of Copernicus, thatthe kind of conceptual difficulty identified as incommensurability may occur within a single scientific tradition as well as between two rival traditions.
The thesis that certain competing scientific theories are incommensurable was introduced by Kuhn and Feyerabend in 1962 and has been a subject of widespread critique. Critics have generally taken incommensurable theories to be theories which cannot be compared in a rational manner, but both Kuhn and Feyerabend have explicitly rejected this interpretation, and Feyerabend has discussed ways in which such comparisons can be made in a number of his writings. This paper attempts to clarify the incommensurability thesis through the examination of a number of examples, both scientific and nonscientific, of cases in which incommensurable points of view compete. There follows a discussion of Kuhn's analogy between paradigm change and gestalt shifts, the ways in which incommensurable theories can be compared, and one key reason why the incommensurability thesis has been so often misinterpreted by its critics.
The incommensurability thesis is the thesis that the content of some alternative scientific theories is incomparable due to translation failure between the vocabulary the theories employ. This paper presents an overview of the main issues which have arisen in the debate about incommensurability. It also briefly outlines a response to the thesis based on a modified causal theory of reference which allows change of reference subsequent to initial baptism, as well as a role to description in the determination of reference. On such a view, the content of theories may be compared on the basis of shared reference, despite failure of translation. Two recent developments involving the incommensurability thesis are also examined: (i) the taxonomic version of the incommensurability thesis found in Kuhn's later writings, (ii) Hoyningen-Huene's neo-Kantian interpretation of Kuhn's metaphysics.
The incommensurability thesis, as introduced by T.S. Kuhn and P.K. Feyerabend, states that incommensurable theories are conceptually incompatible theories which share a common domain of application. Such claim has often been regarded as incoherent, since it has been understood that the determination of a common domain of application at least requires a certain degree of conceptual compatibility between the theories. The purpose of this work is to contribute to the defense of the notion of local or gradual incommensurability, as proposed by late Kuhn. The application of this notion would allow to render the incommensurability thesis coherent. To support this view, a typical example of incommensurability will be formally analyzed by applying the structuralist metatheory developed, among others by W. Balzer, C.U. Moulines and J.D. Sneed. The structural reconstruction of the relation between the phlogiston theory and the oxygen theory offered here will reveal that they are locally incommensurable, and will even make possible to determine the ontological reduction relation that they also exemplify.
Central to Kuhn's notion of incommensurability are the ideas of meaning variance and lexicon, and the impossibility of translation of terms across different theories. Such a notion of incommensurability is based on a particular understanding of what a scientific language is. In this paper we first attempt to understand this notion of scientific language in the context of incommensurability. We consider the consequences of the essential multisemiotic character of scientific theories and show how this leads to even a single theory being potentially 'internally incommensurable'. We then discuss Kuhn's lexicon-based approach to incommensurability and the problems associated with it. Finally we argue that this approach by Kuhn has interesting overlaps with the problem of meaning associated with multisemiosis, particularly the challenge of understanding the process of symbolization in scientific theories.
Discussion of Jed Z. Buchwald & George E. Smith, Incommensurability and the discontinuity of evidence
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