Satan, on 12 December 2012 - 11:36 AM, said:
Miss Savage, on 11 December 2012 - 07:48 PM, said:
This thing kept me up for hours last night. Yes, factually correct, but all in all useless as it's defined by its antonym. Leading me to ask the question, how would one explain the concept of "up" to someone outside the taxonomic structure it is nested? Say, to explain "up" to Yog-Sothoth. Defining "up" as the opposite direction of "down" just forces one to define "down," yielding you only madness and despair (which may be the actual objective of Yog-Sothoth, that impish little bastard).
I got as far as defining "up" as: directions from an arbitrarily defined point or line, running parallel to an abstraction of the direction from your feet to your head.
Then I remembered that Yog-Sothoth have neither feet nor head.
Now that's giving me a headache and I don't know who Yog-Sothoth is neither.
I am rubbish at Maths and my geometric visualisation is practically non-existent, but I think you are right, you need to define a reference system first before you can put in directions, so at the minimum two points that are then connected by a line. A single point is an object with no dimensions hence it's not possible to add directions or dimensions to a point, if i remember correctly.
Try this: Euclid's Elements. Maybe the old hoary Philophiser can help you with this.