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 Posted: Wed May 21, 2008 3:33 pm
This is a theory I made up. Tell me if it is logical:
Person A asks for the directions to nowhere. Use the DTNW Theory to give him those directions.
Answer (in theory):
By the Reflexive Theory of Congruence, direction=direction.
Therefore, direction=somewhere.
By Transitive Property of Congruence, direction=nowhere, where nowhere=infinity. Nowhere=infinity because nowhere could be anything. Since nowhere=infinity, substitute nowhere for a actual place. The person can use MapQuest to find the rest of the directions.
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Posted: Thu May 22, 2008 1:05 am
Uh...there appears to be a few holes.
Specifically, how does direction=direction lead to direction=somewhere? The statement direction=direction is a tautology that contains no information on its own.
How does direction=somewhere lead to direction=nowhere? Last I heard, somewhere and nowhere were mutually exclusive.
Nowhere cannot be anything, because it has a very specific definition of not being anywhere. Hence it cannot be anything that is anywhere, and therefore not infinity.
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Posted: Thu May 22, 2008 10:23 am
Thanks for being honest. I guess I have a long way to go.
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Posted: Thu May 22, 2008 6:33 pm
For things like this you want to start with a bunch of really obvious equations or statements called axioms and derive everything from there. You start with one axiom and then for every step that follows you need to be able to say "this statement follows from the previous statement because of this axiom".
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Posted: Wed May 28, 2008 5:49 pm
Another fallacy I see is the nowhere = infinity, this seems to be a definition but I cannot agree to the definition.
Directions To Nowhere:
Because we are asking for directions we assume that there exists a vector that points to nowhere. Now, as Layra-chan said, nowhere and somewhere are mutually exclusive, for there to exist a vector and for it to point, it must point to somehwere. As such, a vector cannot point to nowhere.
However, if we assume a homogeneity of space, and we assume that spatial symmetry holds, then we can say that there exist no absolute coordinates, if there are no absolute coordinates then we can start our argument anywhere. If we start our argument very deep into space, where every direction looks the same then we increase our spatial symmetry from 360 degrees to a symmetry in infinitessimal degrees.
If space is symmetric at infinitessimal degrees then where exactly two different vectors are pointing cannot be differentiated. If where two vectors are pointing cannot be differentiated then there exists no somewhere. For, if there were to exist a somewhere it would be a relatively localized space. Since there exists no such localized space, then the vectors are pointing to nowhere.
Now.... I'm sure that one's full of fallacies as well. lol
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