The Plan of a Square

Canadian Journal of Philosophy 41 (5):137-144 (2011)
Amidst many discussions on super-valuational algebras and their philosophical applications — on which I was writing my dissertation — Hans and I once paused to ponder the mystical experience of the square. I mean A Square, the hero of Flatland. I mean that perfectly two-dimensional being, with no depth whatsoever, citizen of an equally two-dimensional depthless world, who one day had the good fortune of receiving a visit from a Sphere. What's more, he had the fortune of being able to visit, albeit briefly, the undreamt-of three-dimensional world his guest came from — which is to say, our three-dimensional world. He visited and experienced our world before falling back for all eternity into the total flatness of ..
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