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> "what do we mean when we use the word 'reasoning'"

This is exactly the most interesting and important point. Because the word reason has been subject to so much philosophical debate throughout history, it is very laden with meanings and implications. It sets all kinds of expectations about normativity, objectivity, truth, and humans convincing other humans. To use the word reason for a stochastic generator is misleading.



Consider the difference between “reasonable” and “rational”



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