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I tought some Computational Geometry courses and efficiently computing the intersections of N line segments is not as straightforward as you might initially thi

• jordan_bonecut 2y ago
  Yes, but so is telling if a photo contains a dog or understanding sentiment in a paragraph of text. Complexity isn't quite the issue, I think it is that there is a distinction between the type of reasoning which these models have learnt and that which is necessary for concrete mathematical reasoning.
  • slashdave 2y ago
    The models do not reason. They have learned associations, because these associations have appeared in their training sets.
    • mr_toad 2y ago
      They also generalise and categorise and perhaps even form abstractions based on those associations. Those are the beginnings of reasoning. I expect that as the models grow more complicated so will their reasoning ability.
• samatman 2y ago
  > Since somewhere some computation must be done to recognize this Humans don't have a "compute intersections" ability (other than a few who have learned it laboriously through algebra), we have a "see things and count them" mechanism. We aren't visually taking lines in a planar space and determining where they cross. We know what an intersection looks like, we see one, increment a counter, and find the next one. If it's less than around five, we do this all at once. Otherwise we literally count, sometimes in small groups, sometimes one at a time.