Such multiply realized determinate properties are indeed exactly similar across distinct realizations, and so answer the dilemma posed by Shapiro and others (discussed extensively in section 2 above).
But then they are not the same kind and again we don't have an instance of multiple realizability of a single kind with distinct realizations.
On the contrary, it is the sameness of several, numerically distinct realizations of the same information-content, just like the sameness of a book in its several copies.
Does it arise from a consideration of God simply as he is in himself, or does it only result from some reference to really distinct realizations of these perfections in creatures?
Figure3 shows the sensor positions and two distinct realizations of the emitter trajectory generated for T = 1 s and x 0 = 25 m 0.5 m/s 35 m 0.5 m/s T considering respectively σaccel = 0.05 m/s2 and σaccel = 0.2 m/s2.
Simulated scenario with R = 25 RSS sensors deployed on a jittered grid within a square of size 100 m × 100 m and two distinct realizations of the emitter trajectory for σaccel = 0.05 m/s2 and σaccel = 0.2 m/s2.
The results, which are reinforced using statistical analysis, show that the EEG recordings under EC and EO resting conditions are clearly distinct realizations of the same underlying model occurring due to parameter variations with qualitatively different nonlinear dynamic characteristics.
Shapiro remarks: "If [functional kinds] share many causally relevant properties, then they are not distinct realizations … If they have no or only few causally relevant properties in common, then there are no or just a few laws that are true of both of them" (2000, p. 649).
In order to further address this question we have performed, for different values of f C (and always for σ = 0.15), 1000 simulations corresponding to 1000 distinct realizations.
In the conducted Monte-Carlo simulation, a distinct channel realization is used for each iteration.
