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>> “He was a carpenter, after all.” <<
Carpenter was a gross mistranslation.
Joseph was a stone mason, as all builders in Judea were.
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First of all we're talking about Jesus, not Joseph. But in ancient Greek text he is referred to as τέκτων (wood worker) as opposed to λιθολόγος (stone mason). Furthermore in Hebrew he is identified as חָרַשׁ עֵצִים (craftsman of wood).