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Isomorphism Defined
- Isomorphism is a one-to-one mapping between two sets with no information loss.
- This concept relates to perfectly encoding real world concepts into code in domain modeling.
Practical Limits of Isomorphism
- Perfect one-to-one mappings are rare in software modeling.
- We often achieve approximate mappings that allow practical modeling despite imperfections.
Software's Imperfect Advantage
- Software's imprecision can be an advantage allowing flexible mappings.
- These mappings enable testing correctness empirically instead of relying only on mathematical proofs.