Using Modern Information Theory to Develop a Quantitative Philosophy of Science

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Robertson, Douglas
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One of the critical problems with the classical philosophy of science is that it has not been quantitative in the past. But today the modern quantitative theory of information gives us the mathematical tools that are needed to make philosophy quantitative for the first time. A quantitative philosophy of science can provide vital insights into critical scientific questions ranging from the nature and properties of a Theory of Everything (TOE) in physics to the quantitative implications of Goedel’s celebrated incompleteness theorem for mathematics and physics. It also provides us with something that was conspicuously lacking in Kuhn’s famous book (1962) that introduced the idea of on paradigm shifts: a precise definition of a paradigm. This paper will begin to investigate these and other philosophical implications of the modern quantitative theory of information.