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The Tractable Cognition Thesis Export

Cognitive Science: A Multidisciplinary Journal, Vol. 32, No. 6. (2008), pp. 939-984.

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cognitive complexity in parametrized science theory

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The recognition that human minds/brains are finite systems with limited resources for computation has led some researchers to advance the <i>Tractable Cognition thesis</i>: Human cognitive capacities are constrained by computational tractability. This thesis, if true, serves cognitive psychology by constraining the space of computational-level theories of cognition. To utilize this constraint, a precise and workable definition of computational tractability is needed. Following computer science tradition, many cognitive scientists and psychologists define computational tractability as polynomial-time computability, leading to the <i>P-Cognition thesis</i>. This article explains how and why the P-Cognition thesis may be overly restrictive, risking the exclusion of veridical computational-level theories from scientific investigation. An argument is made to replace the P-Cognition thesis by the <i>FPT-Cognition thesis</i> as an alternative formalization of the Tractable Cognition thesis (here, FPT stands for fixed-parameter tractable). Possible objections to the Tractable Cognition thesis, and its proposed formalization, are discussed, and existing misconceptions are clarified.


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