Maybe the only comprehensible worlds are measurable ones, and timers emerge from measurement-constructed histories, so elementary tasks (those caused by timers) are possible if any "why" questions have answers. Why are explanations "possible"? Maybe bc only explainers survive.
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Replying to @EvanOLeary
I don't yet understand the Deutsch speak! How do you define task and constructor in normal computationalism?
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Replying to @Plinz
A task is the abstract specification of a transformation, and a constructor is that which can cause a transformation that meets that specification. If the laws impose no limit on how accurately or reliably a transformation can be performed, then a constructor for it can be built
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Replying to @EvanOLeary
I a constructor a function that is computable by the available resources?
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Replying to @Plinz
A constructor is the limit converged to by a sequence of substrates all of which imperfectly perform a transformation. A task is closer to a function but can have many outputs for 1 input. Computation: Abstract->A Measurement: Concrete->A Preparation: A->C Transformation: C->C
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Replying to @EvanOLeary
Does that imply that a constructor is an approximate specification of a combination of operators (what's a substrate?), or is it the continuous limit of a series of discrete operators, or something else? (What does it mean to perform a transformation imperfectly?)
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Replying to @Plinz @EvanOLeary
Does having multiple outputs for an input mean that tasks are not deterministic or that they are sets of multiple functions mapping from the same set of parameters?
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Replying to @Plinz
I think tasks are deterministic specifications, because everything possible happens. "Which single outcome will happen" ("to us") is not deterministic, but there's no such thing in reality. But they are not all one to one, like logically reversible computations.
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Replying to @EvanOLeary
So are they arbitrary abstract (deterministic or indeterministic) operators that can be fully or approximately implemented by a substrate?
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Replying to @Plinz
Never fully, but yes they are abstract specifications that can be met by physical reality if they're possible (and can't be met if they're impossible). Which sense of "operator" do you mean?
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An operator takes a state (one or several parameters) and returns a different one (often in-place), by implementing a computable function.
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Replying to @Plinz
Ah! Then not always, because tasks could be non-functional relations.
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