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A paradigm of scientific discovery is defined within a first-order logical framework. It is shown that within this paradigm there exists a formal scientist that is Turing computable and universal in the sense that it solves every problem that any scientist can solve. It is also shown that universal scientists exist for no regular logics that extend first order logic and satisfy the Lowenheim-Skolem condition.
Daniel N. Osherson, Michael Stob, and Scott Weinstein, "A Universal Inductive Inference Machine", . July 1989.
Date Posted: 24 January 2008