Riemann geometry, chicken or the egg?



Many mathematical representations are borne from observation. For
example base 10 likely developed logically from counting fingers on
the human hand. Early astronomical observations inspired the math to
build the pyramids etc etc.

During the mid 1800's when Riemann was evolving his theories,
Euclidean geometry was completely adequate to describe the
observations of Newtonian physics.

Only since the turn of the century has modern physics turned to
Riemann geometry to represent and describe observations. How is it
that the math theory developed first before the observations?
.



Relevant Pages

  • Re: Riemann geometry, chicken or the egg?
    ... Early astronomical observations inspired the math to ... build the pyramids etc etc. ... Euclidean geometry was completely adequate to describe the ... Riemann geometry to represent and describe observations. ...
    (sci.math)
  • recommendations for Euclidean Geometry Books
    ... So my plans changed now to teach Math at high school level. ... Geometry that would broaden my knowledge of Euclidean Geometry and help me ... I searched for Euclidean Geometry books at Amazon.com, ...
    (sci.math)
  • Re: Riemann geometry, chicken or the egg?
    ... Early astronomical observations inspired the math to ... Riemann geometry to represent and describe observations. ... elliptical spaces such as the surface of a globe or hyperbolic spaces ...
    (sci.math)
  • Re: Riemann geometry, chicken or the egg?
    ... Early astronomical observations inspired the math to ... Riemann geometry to represent and describe observations. ... elliptical spaces such as the surface of a globe or hyperbolic spaces ...
    (sci.math)
  • Re: Why does everyone do it?
    ... Blame it all on the "new math". ... Euclidean geometry ... anymore. ... Hence no circe squarers and no angle ...
    (sci.math)