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Examples
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Whatever field-like (and time-like, and space-like) influences there are operating consciousness, it seems quite clear to me that it has to function via physical mechanism at the crossover phase-space.
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Malament 1982 had objected that the obstacles to the nominalization of phase-space theories in Hamiltonian mechanics seemed insuperable.
Explanation in Mathematics Mancosu, Paolo 2008
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Lyon and Colyvan (2007) go beyond Malament's claim by arguing that even if a nominalistic reconstruction of phase-space theories were available, the nominalist would still have to show that such reconstruction can yield the explanations yielded by the non-nominalistic version (s).
Explanation in Mathematics Mancosu, Paolo 2008
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Their claim is that the phase-space analysis of the system provides explanations that cannot be provided by any nominalist reconstruction.
Explanation in Mathematics Mancosu, Paolo 2008
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In the jargon of chaos-theory: although trajectories through a region of a dynamical phase-space may exhibit exponential sensitivity to initial perturbations and thus potentially exhibit no meaningful central tendency, their divergence may still have bounded extent.
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Per Shang-Keng Ma, an entropy can be defined as the logarithm of the phase-space volume explored by the system over a given timescale; the states relevant for thermodynamics (mumble mumble microcanonical mumble mumble) would be the decategorification of the states used at the statistical-mechanical level.
Arrow of Time FAQ Sean 2007
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Or is expressed in terms of the volume in phase-space of what the observer sees as a single macrostate.
Against Bounces Sean 2007
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Folks like me believe the upturn is mainly due to improved detection, especially as the 1970s generation of satellites were put into use and now phase-space analysis is put to use in analyzing cyclones outside the tropical Atlantic.
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It is perhaps helpful, in trying to understand the status in Bohmian mechanics of the quantum equilibrium distribution, to think of quantum equilibrium, Ï = | Ï | 2 as roughly analogous to (classical) thermodynamic equilibrium, Ï = exp (- H/kT)/Z, the probability distribution of the phase-space point of a system in equilibrium at temperature T. (Z is a normalization constant called the partition function and k is Boltzmann's constant.)
Bohmian Mechanics Goldstein, Sheldon 2006
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Malcolm's models are all phase-space shapes on a computer screen.
Jurassic Park Crichton, Michael, 1942- 1991
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