We present Peirce's cenopythagorean categories and Merleau-Ponty's entrelacs and chiasma, as universal phenomenological tools, particularly useful for a better understanding of dynamic, non-classical, non-separated contemporary mathematics. As a case study, we revisit Grothendieck's Résumé, and we explore its extremely rich mathematical, semiotical and phenomenological entanglements.
Keywords: Banach spaces; Category theory; Functional analysis; Mathematics; Phenomenology; Philosophy; Semiotics.
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