The Sorites paradox, as it is known in the philosophical environment, is one of the oldest unsolved puzzles of humanity. It has been inspiring philosophers for centuries now because of its involvement with language, mathematics, philosophy, and humanity in general. In this paper, I try to expose an algebraic explanation for the Sorites defending the fact that the Sorites cannot have a purely logical solution because it is not a problem, it is a statement in itself. The only way to actually solve the Sorites is relating language to logic, is mixing things.
About the author
Marcia R. Pinheiro (b. 1971) is an independent researcher.Her interests include graph theory — small world, convex analysis, real analysis, and modelling. Her publications include ‘Ostrowsky-type inequalities for functions whose modulus of the derivatives are convex and applications’ (2003); ‘S-convexity revisited’ (2005); and ‘Nonisothermal film blowing’ (2005).
© Walter de Gruyter