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The aim of this module is to explore the relationship between uncertainty, logic and computation. Traditionally, logic and computation have focused on the deduction of certain knowledge, neglecting the role of uncertainty and its computational manifestation. One component of the module will focus on epistemic modal logic, which extends formal classical logics to express reasoning about knowledge and information. Another component will consider the computational nature of reliability and its role in defining standards of measurement and systems of representation. Concepts such as the measurement problem, the private language argument, logical depth and the connection between data compression, prediction and understanding will be explored, with a focus on how finite objects can be used to reliably communicate Platonic ideals.
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COMPUTATIONAL EPISTEMOLOGY
