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This article contributes to the explanation of the methodological differences between Cournot and Walras when these authors apply mathematics to economics. Our article explains the reasons behind Cournot’s refusal when Walras required him to write an article, which advocates the application of mathematical method in economics. We indicate then why Cournot remains in favour of mathematical method even after the publication of Principles in 1863. We show then that Cournot refers to specific way of considering mathematics in economics. This way differs from the Walras’ one in several aspects. |