So I was lying awake this morning pondering zero-dimensional space, as one does at that time of day.
Google tells us that "A topological space is zero-dimensional with respect to the finite-to-finite covering dimension if every finite open cover of the space has a refinement that is a finite open cover such that any point in the space is contained in exactly one open set of this refinement." I used to understand things like this. Anyway, I was more interested in the philosophical meanings of zero-dimensional space than in the mathematical concept. Is it the void that binds? Or, as the late lamented Terry Pratchett wrote: "in the beginning there was nothing, which exploded." The Chinese philosopher Zhuangzi believed that the essence of the Universe was “so great that there is nothing outside it and so small that there is nothing inside it”. This sounds like a dandy description of a zero-dimensional Universe to me. The Chinese and the Buddhists in general seem much more at home with concepts in particle physics that often have us westerners scratching our heads. Start with yin and yang, and they're off to the races. Comments are closed.
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