Ben Syversen on Doubling the Cube

See Operationalism: An Interpretation of the Philosophy of Ancient Greek Geometry by Viktor Blåsjö:

I present a systematic interpretation of the foundational purpose of constructions in ancient Greek geometry. I argue that Greek geometers were committed to an operationalist foundational program, according to which all of mathematics—including its entire ontology and epistemology—is based entirely on concrete physical constructions. ...

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