Differential Logic • Discussion 10

Re: Laws of FormLyle Anderson

Let’s say we’re observing a system at discrete intervals of time and testing whether its state satisfies or falsifies a given predicate or proposition p at each moment.  Then p and \mathrm{d}p are two state variables describing the time evolution of the system.  In logical conception p and \mathrm{d}p are independent variables, even if empirical discovery finds them bound by law.

What gives the differential variable \mathrm{d}p its meaning in relation to the ordinary variable p is not the conventional notation used here but a class of temporal inference rules, in the present example, the fourfold scheme of inference shown below.

Temporal Inference Rules

cc: Category TheoryCyberneticsOntologStructural ModelingSystems Science
cc: FB | Differential LogicLaws of Form

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