A programmatic construction of a sheaf of partial cultural gluings could then be articulated around three main pieces of information: (I) Methodological forces: topological and transformational thinking, universal relatives, logic of sheaves, residuation theory, pendulum weaving, etc. (II) Cultural realizations: critical theory, metaphoric sedimentation, contaminating strata, mediating hierarchies, etc. (III) Projective goals: description of reflective residues (gluing local and global), dense fabrics (joining multipolar threads), plastic generic forms (allowing continuity and dislocating dualisms), etc. It is our contention that (i) Peirce’s system and many mathematical tools, both modern (Riemann, Galois) and contemporary (Grothendieck), provide all the necessary theoretical background to support (I); (ii) Germany’s critical dialectical tradition and Latin America’s TRANS essayists give good examples of how to deal with (II); and (iii) the very “end” of Postmodernism as such, with its reformulations within Modernism and Transmodernism, show the imperative of the integrated relativity, plasticity and contamination sought in (III). Precise labours on these problems will take years, but, with many non-standard tools at hand, pragmaticism and “razonabilidad” can lead the way.
On reintegrating our dispersed culture
from
Peirce and Latin American “razonabilidad”: forerunners of Transmodernity, 2009