Neutraligon wrote:Salandriagado wrote:
No, actually. A triangle is always a triangle, and 2 + 2 is always 4. No exceptions, ever. The first is a tautology, the latter a trivial consequence of the definitions of "2", "4", "+", and "=".
On a globe I can draw a "triangle" using 90 degree turns. Is it a triangle since it has three sides or is it not a triangle since the angles add up to more than 180 degrees?
It's a triangle. By definition, a triangle is a closed figure composed of three line segments. That the angles of a triangle add up to 180 is a theorem that happens to hold in Euclidean space.
As for 2+2 not always equaling 4, well that would depend on if you are working in something less than base 5.
Nope, still holds there. It's just also the case that 4 = 0 or 4 = 1 (depending on the base).