(February 7, 2015 at 8:24 am)bennyboy Wrote:(February 7, 2015 at 8:13 am)Heywood Wrote: All non-triangle polygons is not all polygons. Remember the challenge is to find something true of all polygons which is not true for all triangles. Keep trying....if you ever do succeed, I will put "moron" next to my name. You don't have to do anything, the fact that you put so much effort into it so far was enough of a reward for me.oic more semantics. Fine.
"All polygons" is a Big Set, by your definition of the workings of logic. It's a Big Set which includes squares. Triangles do not include squares. Therefore something that is true of the set of all polygons is not true of triangles. Except, that is, in Heywood Land, where every triangle is proof that all polygons are triangles.
There is no semantics. Anything that is true of all polygons will be true of all triangles. Your daughter could probably figure this out. To be honest, I got a chuckle that you seriously took up the challenge. I hope you didn't waste too much time on it.