AI Snips
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Mathematics Helps But Has Limits
- Reason and mathematics help but cannot fully decide social choices because no-go theorems impose limits.
- David Deutsch argues creativity is required beyond formal algorithms to solve real problems.
The House Apportionment Example
- The apportionment problem: how many seats each US state should get illustrates real-world rounding paradoxes.
- Simple rounding rules can produce allocations that violate proportionality and representation.
Obvious Rules Can Produce Paradoxes
- Nearest-integer rounding seems fair but can produce extra seats and distort representation.
- Practical rules that appear obvious can violate quota and harm proportionality.