Abstract
Human activity and cognition cannot be modelled without accounting for
development. The principal directions of incorporating development in
production systems, abstract automata and practical problem solvers are
discussed in this paper. A few generalisations of a "physical"
definition of Turing machine are described, including second-order and
hierarchical models. Considering the modification of the machine's
operation set and environment requires a new mathematics, which would
incorporate self-modifying (reflective) axiomatic systems. Schemes of
explicit and implicit definitions are discussed, and the necessity of a
conceptual closure of hierarchical development in science is stressed.
Universal features of development are described, distinguishing structural,
systemic and hierarchical development. These features are indispensable
to insure human-like behaviour in ensembles of Turing machines.
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