The math reveals that much like a car whose mile-per-gallon consumption gets ever better the slower it drives, the Thinker’s thought-per-energy consumption gets ever better the slower it thinks. That is, the Thinker’s thinking becomes ever more efficient at ever lower temperatures. For this reason, the Thinker can actually think an infinite number of thoughts and yet only require a finite supply of energy (much as an infinite sum such as 1 + ½ + ¼ +…can add up to a finite number, in this case 2). We excitedly inform the Thinker of the result: “By following the plan, not only will you be able
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