Tuesday, November 9, 2010

The Four Color Map Theorem Paper

Shannon Smith October 7,2010
RSA SR9 Geometry E block
The Personal Opinion of Shannon Smith on The Four Color Map Theorem
The Four Color Map Theorem has not been proven true either by inductive reasoning or deductive reasoning. Since no other type of proof is acceptable, the Four Color Map Theorem is not acceptably proven.
The definition of inductive reasoning is “ a conjecture based on observed reasoning.” At first, it may seem like the Four Color Map Theorem is proven this way, but it is not. The Four Color Map Theorem says the any map can be colored with a minimum of four colors. The way they “proved” it was by a computer coming up with examples of different maps that “prove” this theorem. They failed to come up with a map that fail to disprove this theory. What inductive reasoning means is someone witness a repeating phenomenon that results in the same reactions or endings every time. After finding every possible way the phenomenon can go, they come to the conclusion that it is true or false. The computer came up with a lot of examples but not all of the possible ones. It is not proved inductively.
Deductive reasoning means that “A logical assertion was reached from known facts.” The Four Color Map Theorem is not even remotely near being proved by deductive reasoning. If you beg to differ, let me ask you; Where are these know facts? What are these know facts? Let me tell you, there are none. These “known facts” are non-existent. There are only examples of how this may be true. You may say there are “facts” but they are merely educated guesses, not a known fact. The dictionary definition of “fact” is “a truth known by actual experience or observation...”. This definition leads us back to inductive reasoning, which I have already proved to not be valid in the argument of the Four Color Map Theorem being a proof. The first part of the definition of fact mentions experience. No one has had a first-hand experience with the Four Color Map Theorem being proved true because the computer has not even come up with all of the possibilities! Therefore, the Four Color Map Theorem is not proved deductively either.
The Four Color Map Theorem is not proved inductively or deductively and this is the only way that anything can be proved correctly. If all of these other theorem have been proved inductively or deductively, then why can this theorem not be proven? it is not proven because it is not able to be proven whether inductively or deductively.

No comments:

Post a Comment