Abstract:Starting from a proof of the fundamental theorem of calculus accessible to K-12 students, we apply Hegel’s Science of Logic to Barrow’s theorem. This article may also be considered as an introduction to speculative philosophy, adequate for mathematics educators. We focus on the subsection Barrier and Ought, where Hegel twists Kant’s aphorism you can because you ought and obtains a precept of action aimed at infirming conservative political positions. We direct Hegel’s Ought to criticize the pedagogical conserv… Show more
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