The inference to best explanation in Argument 1-2 cannot discriminate between a mind-independent extensive structure and a deeply entrenched intersubjective practice that generates identical observational predictions.
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extensive structure(Used to characterize length as an objective, mind-independent property amenable to numerical representation)
A property structure in which relations such as 'greater than' and 'sum of' hold among instances of the property, such that the property shares much of its structure with the positive real numbers
mind-independent(Used to classify objects such as tables and chairs.)
An object is mind-independent if its existence does not, by its very nature, depend on being the object or content of mental states, i.e., it could survive the annihilation of all thinking things.