S(Zp,ZP): Post-structural readings of Gödel's proof

Abstract

S(zp,zp) performs an innovative analysis of one of modern logic’s most celebrated cornerstones: the proof of Gödel’s first incompleteness theorem. The book applies the semiotic theories of French post-structuralists such as Julia Kristeva, Jacques Derrida and Gilles Deleuze to shed new light on a fundamental question: how do mathematical signs produce meaning and make sense? S(zp,zp) analyses the text of the proof of Gödel’s result, and shows that mathematical language, like other forms of language, enjoys the full complexity of language as a process, with its embodied genesis, constitutive paradoxical forces and unbounded shifts of meaning. These effects do not infringe on the logico-mathematical validity of Gödel’s proof. Rather, they belong to a mathematical unconscious that enables the successful function of mathematical texts for a variety of different readers.