| ▲ | measurablefunc 14 hours ago |
| Point still stands, translation from continuous to discrete is not as simple as people think. |
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| ▲ | phreeza 13 hours ago | parent [-] |
| Numerical issues totally exist but the reason has nothing to do with the fact that Cauchy sequences don't exist on a computer imo. |
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| ▲ | measurablefunc 7 hours ago | parent [-] | | The abstract formulation is different from the concrete implementation. It is precisely b/c the abstractions do not exist on computers that the abstract analysis does not automatically transfer the necessary analytical properties to the digital implementation. Cauchy sequences & Dedekind cuts are abstract & do not exist on digital computers. |
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