Abstract

Reading Marx's Capital in the light of Group Theory in mathematics unveils the concealed capitalist circular system in symmetry that is constant for regular transformation of three basic viewpoints of (1) value form, (2) commodity fetishism and (3) exchange process. The passwords to enter the symmetry immanent in Capital are ‘value mirror’ and ‘two aspects of living labor’. Capital in the descriptive symmetry coincides with the contemporary achievement of Group Theory by N. H. Abel (1802–1829) and É. Gallois (1811–1832). Marx researched mathematics throughout his lifetime, especially in the 1870s and 1880s.

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