PhysicsLogic / Durr-Goldstein-Zanghi 1992

Typicality and Joint Claims

Inspect the difference between likely individual properties and one state satisfying them together.

Definitions and assumptions

Scope and physical limitations

The finite canonical ensembles are independent diagnostics, not a model of the Bohmian universe. A selected typical state and a sound selection bridge are separate requirements. Neither high measure nor nonempty selection makes the actual state satisfy every likely property.

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Examples and distinctions

Constructed examples of this model; each answer includes the Lean statement.

Exact root statement

∀ {TypicalState : Type uTypicalState} {Property : Type uProperty} {TypicalMeasure : Type uTypicalEnsemble}
  (context : PhysicsLogic.Philosophy.ProbabilityRoles.TypicalitySelectionContext TypicalState Property TypicalMeasure),
  context.TypicalPropertyBridge ↔
    ∀ (measure : TypicalMeasure) (state : TypicalState),
      context.typical measure state →
        ∀ (property : Property), context.propertyTypicalFor measure property → context.hasProperty state property
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