| 1. | It can be proven that the Kolmogorov complexity is not computable.
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| 2. | Similarly, most subsets of the natural numbers are not computable.
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| 3. | Computable real functions map computable real numbers to computable real numbers.
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| 4. | Computable real functions map computable real numbers to computable real numbers.
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| 5. | Computable real functions map computable real numbers to computable real numbers.
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| 6. | He contributed to the development of modern Computable General Equilibrium models.
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| 7. | He also explicitly discusses the more restricted ensemble of quickly computable universes.
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| 8. | However, the computable numbers are rarely used in practice.
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| 9. | Therefore, almost all real numbers are non-computable.
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| 10. | This argument provides a total computable function that is not primitive recursive.
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