Problem Spaces. Celia Lury

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situation, ‘an objectively unified existential situation’ (1938: 104) is reached.

      Like Dewey, Herbert Simon is of the view that a problem is not given but must be created. In doing so, he introduces the concept of problem space:

      Every problem-solving effort must begin with creating a representation for the problem – a problem space in which the search for the solution can take place. (1996: 108)

      He argues that, as a purposeful representation, a designed problem space is a methodological artifact that is always ‘in imminent danger of dissolving and vanishing’ (1996: 131). It is sustained, however, by the boundary or artificial sciences. This is the term he uses to describe the set of methodological practices by which design2 can be refined to be beneficial to society. A key element of design for Simon is the partitioning of a complex problem into sub-problems through boundary-making. Through boundary-making, Simon says, problem-solving can often be accomplished through the use of relatively simple recursive operations such as those performed by bundles of algorithms. He uses the analogy of a pair of scissors to describe boundary-making or partitioning: he writes: ‘Human rational behavior … is shaped by a scissors whose blades are the structure of task environments and the computational capabilities of the actor’ (1990: 7).

      Variety, within the limits of satisfactory constraints, may be a desirable end in itself among other reasons because it permits us to attach value to the search as well as its outcome – to regard the design process as itself a valued activity for those who participate in it. (1996: 130)

      He argues that problem-solving systems should not merely assemble solutions but must rather ‘search for appropriate assemblies’ (1996: 124).

      Simon further argues for the importance of discovering new representations of problems, rather than merely deploying existing framings of a problem, even while acknowledging that the process of discovery is poorly understood. In describing this process, the terms ‘situation’ and ‘relevance’ (both of great importance to Dewey) creep in:

      Focus of attention is the key to success – focusing on the particular features of the situation that are relevant to the problem, then building a problem space containing these features but omitting the irrelevant ones. This single idea falls far short of a theory of representation change but takes a first step toward building such a theory. (1996: 109)

      At a basic level, both Dewey and Simon say that a problem is not simply found but must be composed or represented,3 and then represented again.4 Both thus understand what I am calling the composition of a problem in terms of a process of re-presentation, understood as presenting – or perhaps better, situating – the problem again and again as part of a methodologically informed process. Dewey proffers the drawing of a line of inquiry as an overarching term, while Simon uses the term design. For both, the process of re-presentation is an active practice in which a problem is repeatedly composed or put together anew. For both, the composition of a problem across a problem space involves repetition of one kind or another and is thus a process in which temporality is of profound importance.

      To start with Dewey: he argues that, in the pursuit of inquiry, a solution must be a mere possibility in the process of problematization, not ‘an assured present existence’ (1938: 118). This point is of central importance to him: it is what leads him to argue that a problem is never static or fixed, but emerges in constantly changing relations to a situation that is itself constantly changing. He asserts, ‘To mention the temporal quality of inquiry is not simply to assert that inquiry takes time, but that the subject matter of inquiry goes through temporal modifications’ (1991: 125). As Paul Rabinow puts it, for Dewey, ‘Thinking was itself a temporal experience or, to be more precise, thinking was a temporal experiment’:

      To find a way to acknowledge and incorporate modification, or modulation, in the process of inquiry Dewey identifies specific roles for facts and ideas as described above. To be able to exploit the transformative relation between ideas and facts, Dewey insists upon the importance of ‘formulating [facts] in propositions: that is, by means of symbols’. This is important both because unless they are so represented they will ‘relapse into the total qualitative situation’ and because, if facts are not ‘carried and treated by means of symbols’, they lose their provisional character, and in losing this character they are categorically asserted and ‘inquiry comes to an end’. In other words, symbolic logic – what might also be called conceptualization – plays a vital role in Dewey’s formulation of the process of inquiry, since it is what enables the researcher to identify and exploit the temporalities of possibility in a given situation in practice:

      Experimental

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