""" The fact that such distance (euclidean as well as non-euclidean as well as network) is a heuristic for "otherness" seems very much implicit in life itself, most familiarly among visual creatures, less so for audio, and even less so for chemical (smell/taste) and least for tactile (if I am not touching it, it doesn't exist?). """
I wonder about the price paid for privileging sight. Trivedi recounts an observation of Sossinsky[☍]: “It is not surprising at all that almost all blind mathematicians are geometers. The spatial intuition that sighted people have is based on the image of the world that is projected on their retinas; thus it is a two (and not three) dimensional image that is analysed in the brain of a sighted person. A blind person’s spatial intuition, on the other hand, is primarily the result of tile and operational experience. It is also deeper – in the literal as well as the metaphorical sense. recent biomathematical studies have shown that the deepest mathematical structures, such as topological structures, are innate, whereas finer structures, such as linear structures are acquired. Thus, at first, the blind person who regains his sight does not distinguish a square from a circle: He only sees their topological equivalence. In contrast, he immediately sees that a torus is not a sphere” Which dovetails nicely with my mathematical goal of the day to think about p-adic metrics, a subject where *visual* habits seem to get in my way or otherwise lead my intuitions astray[p, p²]. P-adic considerations lead to formal koans like: "Every point in an open ball is a centre of the ball." [☍] https://onionesquereality.wordpress.com/2011/07/31/blind-geometers/ [p] https://math.stackexchange.com/questions/2225905/interpretation-of-open-balls-with-the-p-adic-metric [p²] https://www.math.uh.edu/~haynes/files/topgps5.pdf
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