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- Evandro Agazzi (1985). Commensurability, Incommensurability, and Cumulativity in Scientific Knowledge. Erkenntnis 22 (1-3):51 - 77.Until the middle of the present century it was a commonly accepted opinion that theory change in science was the expression of cumulative progress consisting in the acquisition of new truths and the elimination of old errors. Logical empiricists developed this idea through a deductive model, saying that a theory T superseding a theory T must be able logically to explain whatever T explained and something more as well. Popper too shared this model, but stressed that T explains the old known facts in its own new way. The further pursual of this line quickly led to the thesis of the non-comparability or incommensurability of theories: if T and T are different, then the very concepts which have the same denomination in both actually have different meanings; in such a way any sentence whatever has different meanings in T and in T and cannot serve to compare them. owing to this, the deductive model was abandoned as a tool for understanding theory change and scientific progress, and other models were proposed by people such as Lakatos, Kuhn, Feyerabend, Sneed and Stegmüller. The common feature of all these new positions may be seen in the claim that no possibility exists of interpreting theory change in terms of the cumulative acquisition of truth. It seems to us that the older and the newer positions are one-sided, and, in order to eliminate their respective shortcomings, we propose to interpret theory change in a new way.The starting point consists in recognizing that every scientific discipline singles out its specific domain of objects by selecting a few specific predicates for its discourse. Some of these predicates must be operational (that is, directly bound to testing operations) and they determine the objects of the theory concerned. In the case of a transition from T to T, we must consider whether or not the operational predicates remain unchanged, in the sense of being still related to the same operations. If they do not change in their relation to operations, then T and T are comparable (and may sometimes appear as compatible, sometimes as incompatible). If the operational predicates are not all identical in T and T, the two theories show a rather high degree of incommensurability, and this happens because they do not refer to the same objects. Theory change means in this case change of objects. But now we can see that even incommensurability is compatible with progress conceived as the accumulation of truth. Indeed, T and T remain true about their respective objects (T does not disprove T), and the global amount of truth acquired is increased.Reading list | Discuss | Edit | Categorize |My bibliography
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Summary The incommensurability of scientific theories is not the only famous incommensurability issue in the history of western philosophy. The commensurability of all magnitudes (things) by means of ratios of integers (arithmetical ratios) wasthe thesis of Pythagoreanism. The diagonal and side of a square, however, are not commensurable, thus the Pythagorean thesis is refuted. Most philosophers ancient and contemporary would agree that Pythagoreanism was refuted by the counter-example and the concommitant argument or proof. The incommensurabilists were victorious. The present paper examines the prospects of the contemporary thesis of the incommensurability of scientific theories in the light of the history of the Pythagorean thesis. What factors were responsible for the rather clear-cut victory of theincommensurability side? How were they able to carry through a refutation? How likely is it that the contemporary dispute over the commensurability of scientific theories will be resolved in such a sharp manner? The paper concludes that it is not at all likely.
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| | Other links: springerlink.com dx.doi.org | Scholar | At my library | More options ... According to the Incommensurability Thesis (IT) superseding scientific theories (paradigms) are incommensurable. Unlike many authors we do not discuss whether there is a relationship of this kind. We take for granted that this may be the case, and see the problem in the endeavour to establish the domain of validity of the IT. The notion incommensurability (Ic) is derivative from the concepts of scientific paradigm (P) and scientific revolution (R). There are several concepts of P, as well as various conceptions of R. The Ic concept also has more than one meaning. The validity of the IT is restricted to a subset of P, R, and Ic. From the viewpoint of P this may be the case with (a) substantially different competing general conceptions not reformulated with a view to make them comparable, as well as with (b) scientific communities dogmatically committed to such conceptions. From the viewpoint of R this takes place when we have to do with big revolutions, i.e. superseding conceptions with prevailing discontinuity. Lastly, from the point of view of Ic proper: when it is meant a weak Ic, i.e. a particular incomparability (incompatibility) between the conceptions in question.
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| | Scholar | At my library | More options ... 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.
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| | Other links: dx.doi.org | Scholar | At my library | More options ... : 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.
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| | Other links: mitpressjournals.org dx.doi.org | Scholar | At my library | More options ... 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.
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| | Scholar | At my library | More options ... The alleged problem of "incommensurability" is examined, and attempts to explain scientific change in terms of concepts of meaning and reference are analyzed and rejected. A way of understanding scientific change through a properly developed concept of "reasons" is presented, and the issues of reasons, meaning, and reference are placed in the context of this broader interpretation of scientific change.
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| | Other links: jstor.org journals.uchicago.edu dx.doi.org | Scholar | At my library | More options ... The volume is a collection of essays devoted to the analysis of scientific change and stability. It explores the balance and tension that exist between commensurability and continuity on the one hand, and incommensurability and discontinuity on the other. Moreover, it discusses some central epistemological consequences regarding the nature of scientific progress, rationality and realism. In relation to these topics, it investigates a number of new avenues, and revisits some familiar issues, with a focus on the history and philosophy of physics, and an emphasis on developments in cognitive sciences as well as on the claims of “new experimentalists”.The book constitutes fully revised versions of papers which were originally presented at the international colloquium held at the University of Nancy, France, in June 2004. Each paper is followed by a critical commentary. The conference was a striking example of the sort of genuine dialogue that can take place between philosophers of science, historians of science and scientists who come from different traditions and endorse opposing commitments. This is one of the attractions of the volume.
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| | Scholar | At my library | More options ... 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.
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| | Other links: jstor.org | Scholar | At my library | More options ... In a previous article we have shown that Kuhn's theory of concepts is independently supported by recent research in cognitive psychology. In this paper we propose a cognitive re-reading of Kuhn's cyclical model of scientific revolutions: all of the important features of the model may now be seen as consequences of a more fundamental account of the nature of concepts and their dynamics. We begin by examining incommensurability, the central theme of Kuhn's theory of scientific revolutions, according to two different cognitive models of concept representation. We provide new support for Kuhn 's mature views that incommensurability can be caused by changes in only a few concepts, that even incommensurable conceptual systems can be rationally compared, and that scientific change of the most radical sort—the type labeled revolutionary in earlier studies—does not have to occur holistically and abruptly, but can be achieved by a historically more plausible accumulation of smaller changes. We go on to suggest that the parallel accounts of concepts found in Kuhn and in cognitive science lead to a new understanding of the nature of normal science, of the transition from normal science to crisis, and of scientific revolutions. The same account enables us to understand how scientific communities split to create groups supporting new paradigms, and to resolve various outstanding problems. In particular, we can identify the kind of change needed to create a revolution rather precisely. This new analysis also suggests reasons for the unidirectionality of scientific change.
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| Discuss | Edit | Categorize | My bibliography | Export citation | Other links: informaworld.com tandfonline.com dx.doi.org | Scholar | At my library | More options ...
| | Other links: informaworld.com tandfonline.com dx.doi.org | Scholar | At my library | More options ... 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.
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| | Other links: informaworld.com tandfonline.com dx.doi.org | Scholar | At my library | More options ... Discussion of Evandro Agazzi, Commensurability, incommensurability, and cumulativity in scientific knowledge
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