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| Topic: | Re:Re:How are mental operations observed? |
| Posted by: | Michael Lamport Commons |
| Date/Time: | 2010/8/5 23:13:13 |
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One Task is More Hierarchically Complex Than Another Task If It is defined in terms of two or more lower order task actions This is the same as a set being formed out of elements This creates the hierarchy A = {a, b} a, b are “lower?than A and compose set A A ≠ {A,...} A set cannot contain itself It organizes lower order task actions In simplest terms, this is a relation on actions The relations are order relations A = (a, b) = {a, {b}} -- an ordered pair This organization is non-arbitrary This means that there is a match between the model-designated orders and the real world orders Not P(a,b) -- not all permutations are allowed Next Order Actions Cannot be Reduced to Previous Order Actions The higher order task actions organize the lower order ones The higher order ones therefore cannot be reduced to the lower order ones That which organizes cannot be one of the actions that is organized ActionOrganizes ≠ {ActionOrganizes, and other actions} For example, the empty set, θ, ≠ {θ, and other actions} By definition, the empty set cannot have any members, including itself The Model Of Hierarchical Complexity Explains Stages Of Development The term Order of Complexity characterizes the underlying task A task analysis allows for specification of this Order, to be used as an independent variable The term Stage refers to the performance observed on that task Studying the relationship of this dependent measure to the Order of Complexity allows for a new and more powerful account of stage-like behaviors |