Inference to the best explanation, as defended by Peter Lipton, requires that the competing explanation be equally coherent and not merely extensionally equivalent under redescription.

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Peter Lipton(as a contemporary defender of this philosophical approach): A modern philosopher (1954-2007) who wrote extensively defending and refining the idea of inference to the best explanation as a valid way of reasoning.
Redescription(philosophy of science and logic): A different way of describing or explaining the same situation that might reveal new insights without changing what's actually happening.
coherent(de Finetti's usage in the context of the Dutch Book argument for probabilism): A subject is coherent if their unconditional degrees of belief do not permit a Dutch Book (a guaranteed loss through a combination of bets) to be made against them
extensionally equivalent(Applied to Church's thesis and Turing's thesis regarding functions of positive integers): Two theses are extensionally equivalent when they are about one and the same class of functions

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