meaning, memory, G Longo on Zalamea

"Meaning derives, moreover, from the intentionality, even a pre-conscious one, that inheres in protensive gestures
a digital machine with a perfect memory cannot do mathematics, because it cannot constitute invariants and its associated transformation groups, because a perfect, non-protensive memory does not construct meaning
Only animal memory and its human meaning allow not only the construction of concepts and structures, but proof as well, as soon as the latter requires us to propose new concepts and structures, or the employment of ordering or invariance properties which go beyond the given formal system

p 18, Synthetic Philosophy of Mathematics and Natural Sciences, Conceptual analyses from a Grothendieckian Perspective.  Reflections on “Synthetic Philosophy of Contemporary Mathematics” by FERNANDO ZALAMEA,  by Giuseppe Longo