We automatically assume total area of a shape is sum of area of individual sub pieces. How do one define area and build it up purely axiomatically. Without say getting to measure theory? The difficulties arise because individual pieces need to have area and not some other n-dimensional volume concept. Is there a rigorous definition for area and other n-dim volumes?
2026-04-01 13:42:56.1775050976
Why is sum of area of pieces equal the whole?
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