Abstract
Algebra constitutes here a background against which thinking and activity of the left are examined. The search for whereabouts of “the spirit of generalization” among the working class whose absence was observed by Marx in 1870 leads us to algebra as, on one hand, a generalization of arithmetic, and on the other, as in the metaphor: “dialectics - the algebra of revolution”. These two metaphors together open a new point of view with the help of which we can throw some light upon the confusion and, ultimately helplessness of the left in the contemporary world urgently needing a revolutionary boost, in our opinion. The work here approaches the critical math education methodology (Scovsmose and Borba,2004) in reviewing the state of affairs (CS) and, through the explorative reasoning, leads to the imagined situation (IS) of the design of the program for Organic Intellectuals of the Working Class.