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Progress

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        <b>Progress</b>
      
      
        . Scientific progress seems superficially to consist of the accumulation of more and more 
        knowledge. Attempts to abstract principles of rationality in science have often 
        presupposed this view: they tend to yield notions of rationality that are self-consistent 
        -- in which it is rational to be rational -- because rational thought and action is 
        supposed to move closer to the truth, or to yield better approximations to the truth, or 
        to yield higher probabilities of the truth, and so on. Laudan's rejection of the rational 
        role of truth or realism in science mentioned above was in part a reaction against the 
        repeated failures of models of rationality that attempt to make such claims to support 
        them convincingly. In addition to the multifarious logical and conceptual errors in such 
        models, there is the straightforward question: if scientific rationality provides such 
        guarantees of cumulative progress of science, then why do we find the negative historical 
        induction? Why has science overthrown such wildly successful and supported theories? 
      
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        A simple reaction against such major repudiations in the history of science, of course, is 
        to posit an irrationality of some sort in the nature of science (Feyerabend, 1975; Kuhn, 
        1962; Lakatos & Musgrave, 1970). An unsustainable faith in the cumulative progress of 
        science or a rejection of science as being fundamentally rational at all is not a 
        palatable choice. Critical principles provide a transcendence of this dilemma too. 
      
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        The key to this transcendence has already been introduced. Critical principle rationality 
        is self-consistently progressive in the sense that it tends to move away from error, not 
        in the sense that it provides some guarantee of (even a tendency toward) movement toward 
        truth. In this view, science is not necessarily 
      
      
        <i>cumulative</i>
      
      
         in its positive knowledge, but is 
      
      
        <i>progressive</i>
      
      
         in that the positive knowledge, even when utterly rejecting previous positive knowledge, 
        succeeds in avoiding more and deeper errors than previous positive knowledge. Without the 
        recognition of the special nature and role of negative knowledge -- critical principles -- 
        the only possible form of progressivity seems to be cumulativity, and positive 
        cumulativity is contradicted by history. 
      
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        A historical progression that illustrates this point can be found in a cumulative sequence 
        of critical principles that have been involved in the history of physics. In Aristotle's 
        physics, the laws of physics varied from place to place; the laws for the heavens, for 
        example, were not the same as those for earth. The revolution of Copernicus, Galileo, and 
        Newton introduced a principle of criticism of such notions: the heavenly laws and those on 
        earth should be the same (Brown, 1988; Kuhn, 1957). The laws of physics should be place 
        invariant. The Special Theory of Relativity maintained this criterion of place invariance, 
        and added a criterion of velocity (first time derivative of place) invariance. The General 
        Theory of Relativity, in turn, maintained both of these criteria, and added a criterion of 
        acceleration (second time derivative) invariance (Friedman, 1983; Longair, 1984; Lucas & 
        Hodgson, 1990; Misner, Thorne, & Wheeler, 1973; Torretti, 1983; Wald, 1984; Weinberg, 
        1972).
      
      
        <u>[12] <http://www.lehigh.edu/~mhb0/critical.html></u>
      
      
         
      
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        The positive theories, and their underlying ontologies, were radically rejected in each of 
        these moves, but the negative knowledge, the structure of critical principles, was 
        strictly cumulative. It is the cumulativity of these critical principles, I suggest, that 
        accounts for the progressivity of the respective theories. An example mentioned earlier -- 
        the rejection of metaphysical critical principles based on notions of God's design of the 
        universe -- illustrates critical principle progressivity even when there is an 
        infirmation, not a confirmation or cumulation, between critical principles. 
      
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