¶ Tools of Geometry (2)
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Index Entry
Tools of Geometry:
“They assumed the complementary tool to be a plane. Because the plane went to infinity in all planar directions it could not be defined and therefore was spontaneously overlooked as a tool essential to their empirical demonstrating. What they could not define, yet obviously needed, they identified by the ineffable title ‘axiomatic,’ meaning ‘Everybody knows that.’ Had they recognized the essentiality of defining the fourth tool upon which they inscribed, and had they recognized that our Earth was spherical; ergo, finite; ergo, definite; they could and probably would have employed completely different strategies than that of their initiation of geometry with the exclusive use of the plane. But to the Eastern Mediterranean world there lay the plane of the Earth at their feet on which to scratch with a scriber.”
¶ Citations
