To address the two questions exposed in the scope of IWINAC-2005, we will make use of the ``building of and for knowledge'' concepts that distinguish three levels of description in each calculus: The Physical Level (PL), where the hardware lives, the Symbol Level (SL) where the programs live and a third level, introduced by Newell and Marr, situated above the symbol level and named by Newell ``the Knowledge Level'' (KL) and by Marr the level of ``the theory of calculus''. We seek the interplay between the natural and the artificial at each one of these three levels (PL, SL, KL).
1 Interplay at the Physical Level
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From Artificial to Natural
1.1 Computational Neuroscience
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From Natural to Artificial
1.2 Bio-inspired Circuits and Mechanisms
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2 Interplay at the Symbol Level
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From Artificial to Natural
2.1 Neuro-informatics
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From Natural to Artificial
2.2 Bio-inspired Programming Strategies
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3 Interplay at the Knowledge Level
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From Artificial to Natural
3.1 Computational approach to Cognition
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From Natural to Artificial
3.2 Cognitive Inspiration in AI&KE
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