
Re: 4 colors problem
Posted:
Mar 4, 2014 1:22 PM


Proving a theorem involves not only proving the parts that are provable, but also proving the counterexamples that propose themselves to be unprovable or disprovable to the proof at hand, in proof's favor.
The evidence of a counterexample that shows that 4 color theorem may fail under certain situation is the matrix B from the previous post. It is representative of a map of an imagined world where each country is square shape of equal size to all the other countries, lined up in a row, row after row, except for one row having a country 6 times bigger than all the others on a map, and 4 color theory fails.
Having shown an irrefutable and undisputable evidence of a situation where the 4 color theorem fails (infinitely, as it fails as many times as there are odd numbers, which is infinite), what else can one do to show that it is so?

