W
wmw
Guest
Once we define a system it will be true within that system. I can define that red = black. It is true in my system, but there is no connection to absolute truth.Not true. The truths that these geometries give are absolute truths in their respective realm of application. For example, in Euclidean geometry, it is absolutely true that the base angles of an isosceles triangle are equal. This is absolutely true in Euclidean geometry and if you don’t believe it, give us a counterexample.
All logic systems work this way, we build upon axioms that are considered true, but are not truly proved to be truth for the real world. In the real world Euclidean geometry is a good approximation of situations where the curvature of space is non negligible; hence, not an absolute description.