DrPizza
Administrator Elite Member Goat Whisperer
Re: mathematics
No, in mathematics, there are no absolute truths.
Proved by Godel
Any system of mathematics is necessarily based upon assumptions - thus, these can not be proven true or not true within the system.
Example: Geometry - parallel lines never touch = assumption of Euclid.
Fast forward a few thousand years to non-Euclidean geometry. Assumption = parallel lines meet.
And then, "whoa! The Universe follows non-Euclidean geometry" Surprise!
No, in mathematics, there are no absolute truths.
Proved by Godel
Any system of mathematics is necessarily based upon assumptions - thus, these can not be proven true or not true within the system.
Example: Geometry - parallel lines never touch = assumption of Euclid.
Fast forward a few thousand years to non-Euclidean geometry. Assumption = parallel lines meet.
And then, "whoa! The Universe follows non-Euclidean geometry" Surprise!