The paper discusses the question of isomorphism from a point of view according to which first of all we need to understand the nature of the processes, and thus to consider the phaenomena of transformation as an irreducible philosophical problem. In doing this, I refer to the metaphysical philosophical system of Gilles Deleuze, using and folding some of its main concepts. My principal thesis is that in a transformational perspective talking of "isomorphism" means facing not the question of a

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... respondence by similarity (adequacy), but that of a correspondence by dissimilarity (adequateness). I discuss such a position in two steps. Firstly, I explain how stressing the creative nature of processes makes possible to comprehend two aspects: a process responds but does not correspond to something; processes are similar only to the extent that they do the same thing differently. Secondly, I suggest that focusing on the specificity of transformation opens also the possibility to rethink the problem of categories in terms not of identity and stability, but of relationality and dynamism: if we look not for commonness, affiliation, and collocation, but for divergence, traversing, and tension, categories may become a matter of penetrating into tendencies, more than a matter of defining states.