Ian Pitchford

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Although mathematics provides us with candidates for a finite yet unbounded universe, how can we ever know whether our universe is finite and what shape it might be if it is? Do we have to wait for an astro-Magellan to circumnavigate the universe? Given the scale of the known universe, human exploration seems a rather hopeless way of proving whether the universe is finite. But there are explorers out there that have been navigating the universe for billions of years and can provide us with some insight into whether it is finite or not: photons of light.
What We Cannot Know: Explorations at the Edge of Knowledge
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