Phil Henshaw wrote:
> but does that
> answer the question of whether abstract systems of logic can be built to
> be entirely self-referential, while being sustained by 'feeding on' or
> in other ways 'exploring' the gradients of other systems with which they
> have no 'logical' connection?
>   
If a person moves to a new country and doesn't know the language, and 
learns it through observation and experiment, that might be an 
example.   That's assuming the person had a closed self-referential 
learning mechanism.   Presumably the engine that's driven by the 
abstract system of logic can store and retrieve data, even if the logic 
itself were unmodifiable?    (I doubt the latter is a useful constraint, 
but for the sake of the thought experiment..)

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