74. More Reasons Why the First "High Dimension" is Six or Maybe Five
(This will make much more sense if you read "11. Why the First "High Dimension" is Six or Maybe Five" first. As before, epistemic status: morally correct, in the mathematician’s sense; here to give flavor and intuition without too much rigor. Frankly, I'm going to move even faster and more cursorily than last time. With thanks to IL, and to everyone I've tried to shill 4D Golf to.) After talking with IL a bit more and doing some thinking for myself, I realized with creeping delight that the long heuristic argument that I gave for why we should consider the first qualitatively high dimension to be six or maybe five is not remotely the only one. In fact, a shocking number of strong heuristic arguments all converge on the same figure: very specifically, "six or maybe five". That is: five is marginal, and six is definite. To give a very quick recap of the heuristic argument from the original post, the idea is that we can operationalize what it means fo...