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SBE 2020: Submission Detail

ID Number: 39
Title: Correcting the Mathematical Foundations of the Social & Economic Sciences
Lead Author: Barzilai, Jonathan
Abstract: Errors at the mathematical foundations of economic theory and the social sciences require corrections. For example, for the same reasons that the mathematical theory of thermodynamics cannot be founded on ordinal temperature scales, modern economic theory cannot be founded on ordinal data; additional examples of fundamental errors are given. The conditions for applicability of the operations of addition and multiplication have not been identified; there is no proof in the literature that these operations apply to any scale; and, in fact, they do not. In particular, interval and ratio scale classifications do not imply the applicability of the operations of addition and multiplication and these operations are applied incorrectly and where they are inapplicable. Although the issues stem from the most fundamental questions of applicability of mathematics in these disciplines, it appears that most, perhaps all, of these errors can be corrected.
PDF: Barzilai_Jonathan_39.pdf

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