Browsing All Posts published on »January, 2012«

An Analogy between Math and Empirical Science

January 17, 2012

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Empirical science is distinguished from mathematics primarily in one crucial respect: while mathematics requires that its propositions conform to pure logic, empirical science requires in addition that its propositions conform to empirical data. Because mathematics is unconstrained by the contingencies and uncertainties of empirical data, it has the virtue of great certainty and generality in […]