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Doesn't Alicia Boole Stott's ability indicate that solid intuitions are plausible though? https://www.askaboutireland.ie/reading-room/life-society/science-tech

• feoren 5y ago
  Maybe? I'm not claiming there's no way to have a good intuition about 4D space -- in fact articles like this make me want to figure out how to achieve such a thing. But it seems likely to me that even if your brain is somehow capable of visualizing 4D things, it would be just as weird to move to 5D as it is for normal people to move to 4D. Did Stott have any special intuition about 5+D? And we're talking about making that cognitive jump five more times to get to 10D. However, it's clear the "starfish" intuition is simply not accurate. That's not what N-cubes look like. The point of this post is that we should have cognitive dissonance when we try to think about 10-cubes, because it's weird that (A) the "inner sphere" pokes out of a shape that is (B) convex everywhere. You can resolve the cognitive dissonance easily by simply ignoring or rejecting B -- sure, it's not weird that such a sphere would poke out of a starfish. But you are wrong. It's not a starfish! It's convex everywhere! So you can't say "why do y'all have cognitive dissonance about this?"
  • sdwr 5y ago
    It is accurate, just not completely accurate. You only get cognitive dissonance if you try to resolve it all the way.. stack multiple imperfect intuitions to approximate the real thing.