Topology Quotes

“Time and space were, from Death's point of view, merely things that he'd heard described. When it came to Death, they ticked the box marked Not Applicable. It might help to think of the universe as a rubber sheet, or perhaps not.”
― Terry Pratchett, Hogfather

“[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing—one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.”
― Paul R. Halmos

“A.N. Kolmogorov and Yasha Sinai had worked out some illuminating mathematics for the way a system's "entropy per unit time" applies to the geometric pictures of surfaces stretching and folding in phase space. The conceptual core of the technique was a matter of drawing some arbitrarily small box around some set of initial conditions, as one might draw a small square on the side of a balloon, then calculating the effect of various expressions or twists on the box. It might stretch in one direction, for example, while remaining narrow in the other. The change in area corresponded to an introduction of uncertainty about the system's past, a gain or loss of information.”
― James Gleick, Chaos: Making a New Science

“الطبولوجي هو شخص لا يميّز بين كعكة (الدونات) وفنجان القهوة”
― Ivan Moscovich, 1,000 Play Thinks: Puzzles, Paradoxes, Illusions & Games

“The ultimate definition and behavior of 'the real' are embedded in Randomly Organized Structural Entities (ROSE), which can only be understood through topological behaviors that remain independent of physical laws. In this state of deep simplicity, reality manifests not through the rigid dissection of nature into blocks, but as hidden topological information within nature's irrational ratios—where minimal surfaces in mathematical solution spaces ushers the essence of consciousness to the surface”
― Burak Cem Coşkun, Doğa Üzerine ve Yönteme Karşı