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In the last decade the 2 have interacted profitably and their relative strengths and weaknesses were complemented.

MG was offered for the last 20 years as a computational philosophy to accelerate the computations arising in various scientific fields. The idea was to accelerate algorithms by operating on various scales such that the computations related with a certain length scale are performed directly on the objects relevant at that scale.

In our present view, the multi-scale / multi-grid phenomena and the relevant Macros hierarchies are considered for their own interest even (sometimes) in the absence of a multi-scale algorithm which accelerates the computations.

The multi-scale concept is proposed as a tool to reformulate and reorganize the way of approaching the problematics of various fields. Thus its usefulness transcends by far the mere application of a computational technique and may induce in certain fields a shift in the concepts, the language, the techniques and even in their objectives.

Understanding the critical behavior of a microscopic system of Micro's reduces then to the identification of the relevant Macro's and the description of their long time-scales evolution. Conversely, finding an appropriate Multi-Agent explanation for a macroscopic complex phenomenon is to find a system of Micro's whose effective macroscopic critical dynamics leads to Macro's modeling well the macroscopic complex phenomenon.

The emergence of this sort of algorithmic operational way of acquiring and expressing knowledge has a very far reaching methodological potential.

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