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Journal of the ACMS 2004 Inaugural Issue
Recent Parallels Between the Philosophy of Science and
Mathematics This paper provides a summary of logical positivism — empirical verification in terms of sensations, expression of scientific laws using mathematics and hence logic, and correspondence rules between propositions and sensory observations with the goal of producing a non-controversial, literal description of the world. It carefully discusses several problems that ultimately thwarted it. It contrasts logical positivism with the radical subjectivism of Feyerabend and discusses the need for a third approach between foundationalism and relativist anarchy.
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