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Qualia: The Geometry of Integrated Information

Figure 9

Context-dependency of informational relationships.

(A): The same set of connections engaged in two different contexts (red arrows) for the system in Fig. 3. At the bottom of the quale (in the null context) the connections generate 1.1 bits of information, whereas the up-set of the connections, in the full context, generates 1.8 bits of information. (B): A system of AND-gates. The four cyan elements generate 1.5 bits of information in the null context and 4 bits of information in the full context. (CDEF): The relationship between Φ and context-dependence. Each panel shows a system of 8 AND-gates with two sets of connections chosen, shown in red and cyan (in panel E a connection is chosen twice). Each point in the graphs shows the average value of the difference: “r in full context – r in null context” = ei(X0(¬r,x1)→X0(T,x1))−ei(X0(maxH)→X0(r,x1)), averaged across network states where Φ is in the range [k,k+0.5), as k varies from 0 to 3.5 bits. The graphs show that, context as Φ increases, the information generated by a set of connections in the full context increases relative to the same connections in the null.

Figure 9

doi: https://doi.org/10.1371/journal.pcbi.1000462.g009