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Nelson Fernández edited Measures.tex
almost 11 years ago
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\section{Measures}
The measures
apply applied in this paper have recently developed and compared with other previously proposed in the literature (Fernández et al., 2012; Gershenson and Fernández, 2012); more refined measures, based on axioms, have been presented in Fernández et al., (2013).
In general, Emergence refers to properties of a phenomenon that are present now and were not before. If we suppose these properties as non-trivial, we could say it is harder now than before to reproduce the phenomenon. In other words, there is emergence in a phenomenon when this phenomenon is producing information and, if we recall, Shannon proposed a quantity which measures how much information was “produced” by a process.Therefore, we can say that the emergence is the same as the Shannon’s information {\it I}. Thus {\it \E=I}