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The Summer Everything Seemed Possible

  1. 01The Summer Everything Seemed Possible
  2. 02The summer of the big bet
  3. 03The word they invented
  4. 04The Logic Theorist
  5. 05What the program was actually doing
  6. 06Memory Card
  7. 07Intelligence as search
  8. 08See it for yourself
  9. 09Where search breaks down
  10. 10The size of the problem
  11. 11Just the shape
  12. 12The optimism trap
  13. 13What they got right
  14. 14Reinforce your understanding
  15. 15Question: Logic Theorist
  16. 16Question: The greedy trap
  17. 17Question: The hidden scale
  18. 18Quiz: answer
  19. 19The door was open
  20. 20Want to go deeper?
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What the program was actually doing

The Logic Theorist did not understand mathematics. It did not know what a theorem meant. It had a toolbox of rules: if your expression looks like this, you can rewrite it like that.

Think of it like navigating a maze with one simple rule: always move toward where the exit looks closest. You are not planning a route. You are not thinking about the layout. You just keep picking the step that seems to close the gap.

That is what the Logic Theorist did. At each step, it looked at the current expression and the target theorem, picked whichever rule seemed to reduce the distance, and kept going. When a path led nowhere, it backed up and tried another branch.

When it succeeded, it was not insight. It was good navigation: following rules that pointed in roughly the right direction, without ever knowing where it was going.

That is still impressive. Navigating well is genuinely hard. But it is not the same as understanding.

Citations(2)↓
  1. 1. shelf1.library.cmu.edu
  2. 2. iiif.library.cmu.edu
Citations(2)↓
  1. 1. shelf1.library.cmu.edu
  2. 2. iiif.library.cmu.edu