Let me repeat Euclid's axioms, translated from the Ancient Greek:
- "To draw a straight line from any point to any point."
- "To produce [extend] a finite straight line continuously in a straight line."
- "To describe a circle with any centre and distance [radius]."
- "That all right angles are equal to one another." The parallel postulate:
- "That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles."
None of these axioms at all pertain in any way to reality in anyway. They all explicitly deal with only mathematical objects. Calling them "wrong" is therefore a mistake. They aren't describing reality, they're laying out rules for a geometric space.
If one of the axioms said anything about the real world, then yes, they would be wrong, but Euclid never said or did that.
Maybe it was a bit pedantic, and unnecessary. Sure, but being ****ing stupid, pedantic
and incorrect about basic mathematical ideas is far worse.