Back to the Metriscape: Geometry, Math And Space For Observers, Teachers And Mathematicians

Isaac Newton wrote that “it is the glory of geometry that from those few principles … it is able to produce so many things.” (Principia p. 3.) This laid the groundwork for Newton’s Principia, “an explication of the System of the World” and the sun and planets, including the invention of calculus. But Newton’s system represents an approach far different from the tendency later— a tendency which has become more and more pronounced to this day— to exclude ordinary spacial considerations, intel...