01-09-14 Kognition interaktion design Vårterminen 2014 ISP vs WSP It is not exaggerating much to say that there are no WSPs, only ISPs that have been formalized for problem solvers . Simon, 1973, 186 Teorem-bevisandet - WSP? • (4) Any knowledge that the problem solver can aquire about the problem can be represented in one or more problem spaces • Prohibits use of knowledge available in another problem space that may facilitate the proof: It follows that … problems of discovering proofs in formal logic are not, for all problem solvers, well structured • Practical solvability not incompleteness etc. ”…definiteness of problem structure is largely an illusion that arises when we systematically confound the idealized problem that is presented to an idealized (and unlimitedly powerful) problem solver with the actual problem that is to be attacked by a problem solver with limited (even if large) computational capacities”. Simon, 1973, 186 ISP vs WSP We may ask instead how problem solvers of familiar kinds can go to work on problems that are, in important respects, ill strucured … perhaps we have exaggerated the essentiality of definte structure for the applicability and efficacy of these techniques. Simon, 1973, 187 Schack – ett WSP? • Skilj mellan att kunna beräkna något i teorin och i praktiken • Playing a game off chess – viewing this activity as solving a single problem – involves continually redefining what the problem is (Simon, 1973, 186) 1 01-09-14 Varför? ”The move in the real game … has real consequences that cannot be undone, and that are frequently different from the consequences that were anticipated”. En blick framåt: Murtaugh ”In general, the problems presented to problem solvers by the world are best regarded as ISPs. They become WSPs only in the process of being prepared for the problem solvers”. En blick framåt: Adult Math Project “...there is one important feature of grocery shopping behavior that cannot be simulated easily. In the supermarket people generate their own problems as well as solve them, whereas in the laboratory, problems are formulated by the researcher” (Murtaugh, 1985, s. 186). • American Beauty nudlar eller Perfection nudlar? • Små paket: Perfection billigast This is really the too-large economy bag. I don't know if I, probably take me about six months to use this one. And I just, I don't have the storage room for that kind of stuff. I guess if I rearranged my cupboards, maybe I could, but it's a hassle... I don’t know, I just never bought that huge size like that. I never checked the price though on it. But being American Beauty, it probably costs more even in that large size. (Lave, 1984: 85-86) Oh there is a big savings. Hmmm, I might think about that next time, figure out where I can keep it. I actually try to look for better prices. I used – I guess I used to, and I was such in the habit of it that some of the products I'm buying now are leftovers from when I was cutting costs. And I usually look. If they have something on sale, you know, a larger package of macaroni or spaghetti or something, I’ll buy it. (Lave, 1984: 86) 2 01-09-14 The whole design, then, begins to acquire structure by being decomposed into various problems of component design, and by evoking, as the design progresses, all kinds of requirements to be applied in testing the design of its components. During any given short period of time, the architect will find himself working on a problem which, perhaps beginning in an ill strucutred state, soon converts itself through evocation from memory into a well structured problem. Simon, 1973, 190 Coordinating subtasks Much of the coordination of the various well structured design subtasks is implicit – built into the organization of the whole process. To the extent that this is so, the local design activities are guaranteed to mesh into a reasonable over-all structure. Simon, 1973, 191 Varför den här strukturen? • ”The answer revolves around the basically serial character of the problem solving system” • ”… no need for … initial definition of the problem space and task structure. All of the necessary definitory information is potentially available, but distributed through long term memory”. The robot … will continually be confronted with new information from the environment: features … that are omitted from or distorted in its internal representation… and changes … that are different from the changes that were predicted …. But this external information can be used by the robot in the exactly the way that information evoked from the long term memory was used by the architect”. The present view of the boundary between WSP and ISPs derives from our insistence that notions of computability in principle be replaced by notions of practical computability in the definition of WSP Simon, 1973, 174 3 01-09-14 Håller ni med? “Conversely it suggests that there may be nothing other than the size of the knowledge base to distinguish ISPs from WSPs, and that general problem-solving mechanisms that have shown themselves to be effacious for handling large albeit apparently wellstructured domains should be extendable to ill-structured domains without any need for introducing qualitatively new components”. Simon, 1973, p. 194 Kirsh om handlingar (action) K&M:s syn på den klassiska modellen “The processing model … is a significant departure from classical theories of action. Its chief novelty lies in allowing individual functional units inside the agent to be in closed-loop interaction with the outside world”. (p. 542) K&M:s syn på den klassiska modellen The point of planning is to discover a series of transformations that can serve as a path from initial to goal state. The metric of goodness, which planners rely on, may be the distance, time, or energy required in getting to the goal, an approximation of these, or some measure of the riskiness of the paths. In each case, a plan is a sequence of pragmatic actions justified with respect to its adequacy along one or another of these physical metrics. 4 01-09-14 Grunden för kritiken • ”If one’s theory of the agent assumes that thinking precedes action, and that, at the best, action can lead one to reevaluate one’s conclusions, then action can never be undertaken in order to alter the way cognition proceeds (sid. 526). Jämför med: Jämför The Star user interface A well designed system makes everything relevant to a task visible on the screen. … When everything being dealt with in a computer system is visible, the display screen relieves the load on the short-term memory by acting as a sort of visual cache Smith et al, 1982 When everything being dealt with in a computer system is visible, the display screen relieves the load on the short term memory by acting as a sort of visual cache . Thinking becomes easier and more productive. A well-designed computer program can actually improve the quality of your thinking. Pragmatiska och epistemiska handlingar Epistemisk handling …we use the term epistemic action to designate a physical action whose primary function is to improve cognition by; 1) unearth new information very early in the game, 2) save mental rotation effort, 3) facilitate retrieval of zoids from memory, 4) make it easier to identify a zoid’s type, 5) simplify the process of matching zoid and contour K&M, 1995, 514 5 01-09-14 Hur kan K&M visa att det inte bara finns pragmatiska handlingar? O-pragmatiska rotationer Antal rotationer If players actually wait until they have formulated a plan before they act, the number of rotations should average to half the number of rotations that can be performed on the zoid before an orientation repeats. K&M 1994, 523 Identifikation 1) Identification: zoids can be physically rotated 90º in as few as 100 ms, whereas we estimate that it takes in the neighborhood of 800 to 1200 ms to mentally rotate a zoid 90º, based on pilot data K&M, 1994, 530 O-pragmatiska rotationer Placering 2) Placement: In about 1% of the cases wehn a player drops a zoid, the act of dropping is preceded by a behavioral routine of translating the zoid to the wall and then back again K&M, 1994, 539 6 01-09-14 Vad bidrar K&M med? ... we should now confront a task and ask not only, ”How does the agent think about this task, for example, categorize elements in it, construct a problem space representation for it?” but also, ”What actions can an agent perform that will make the task more manageable, easier to compute?” Kirsh & Maglio 1994 (p. 545) Vad bidrar K&M med? Consequently, we expect that a well-adapted agent ought to know how to strike a balance between internal and external computation. It ought to achieve an appropriate level of cooperation between internal organizing processes and external organizing processes so that in the long run, less work is performed. Kirsh & Maglio 1994 (p. 545) Diskutera! Hur olika är K&M och Simon? The experimenter varies the external stimuli with the hope of discovering the subject s internal organizing processes … it reflects a bias that the type of environmental structure relevant to problem solving, planning, and choice, as well as to recall and recognition, occurs primarily inside the agent. K&M, 1995, 545 Representation vs. offloading Jämför m. K&M (och Hutchins) Simon about Sir Oswyn and battleships: The long-term memory here is literally a distributed memory, divided among the various groups of experts who are involved at one or another stage of the design process (Simon, 1973, 194) 7
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