In support of my earlier Post Re. thoughts on the creation of the eidolon
-----from www.mathwords.com/o/one_dimension.htm---------------
Finite collections of objects (e.g., points in space) are considered 0-dimensional. Objects that are "dragged" versions of zero-dimensional objects are then called one-dimensional ( a line) . Similarly, objects which are dragged one-dimensional objects are two-dimensional, and so on. Dimension is formalized in mathematics as the intrinsic dimension of a topological space. This dimension is called the Lebesgue covering dimension
-- from Wikipedia---------
Classical physics theories describe three physical dimensions: from a particular point in space, the basic directions in which we can move are up/down, left/right, and forward/backward. Movement in any other direction can be expressed in terms of just these three. Moving down is the same as moving up a negative amount. Moving diagonally upward and forward is just as the name of the direction implies; i.e., moving in a linear combination of up and forward. In its simplest form a line describes one dimension, a plane describes two dimensions, and a cube describes three dimensions. See Space and Cartesian coordinate system.)
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15 comments:
Shiva: I think this should have been added as a comment to your original post which I replied to, and not as a new post.
Shiva (2): Please draw me a "one-dimensional" line.....!!!
Karl L Le Marcs said...
Shiva: I think this should have been added as a comment to your original post which I replied to, and not as a new post.
I couldn't attach it as a comment! So after many attempts I tried adding it as a new post and it worked? oh well....
Karl L Le Marcs said...
Shiva (2): Please draw me a "one-dimensional" line.....!!!
A man is lost and asks a stranger for directions. The stranger, using a bandaged index finger, points over the man's shoulder and says " it's over there".
The man replies , " why are you using that finger? It's obviously damaged! Is the bone broken? Is the flesh cut? Was it bitten?"
The stranger lowered his hand and walked away. The man, not having looked in the direction the stranger had pointed, was still lost - but he knew exactly which finger was injured on the stranger's hand.........
Ah so you don't actually mean "line" you mean "direction" !!
I mean line......haha you are quite the character Karl.
Thank you, I know.
*smile*
Well, if you meant "direction" then I would be able to partly agree with you, but if you maintain you mean "line" then I cannot for the reasons stated here and on your previous post.
I was using the mathmatical definition of dimensions
to illutrate a point , so the illustration was pointing in a direction ...dont look at the finger, look at the moon in all its glory!!!!!!!
Precisely my who point Shiva!
When we take mathematics into reality there immediately exists an extra dimension.
A "Line" cannot be one-dimensional (draw me one if you think otherwise) but a "Direction" can be.
Mathematical definitions of dimension work on paper and within the dimensions of themselves, but add direction in space-time and there HAS to exist another dimension.
Thus switching "Line" and "Direction" around changes the meaning of your aguement completely.
As you have it, using "Line", I cannot agree.
OK , I used the wrong finger when I was pointing to the moon hehe.
Not that finger I hope!!!
*eyes wide*
And I don't know how it is over there in China my friend, but over here if you stand pointing at the moon then you either find yourself pointed at, or are expected to start growing pointy ears, body hair and canine teeth!!
*smile*
haha, there is so much polution here I dont see it very often!
This is so interesting.. you are really making me think haha!
How about, "if two x dimensional objects intersect, then at their point of intersection they create an (x-1) dimensional object."
thinks: I hope this gets us past the first sentence of my original post -rolls on the floor laughing ( at himself! )
Shiva: Thank You, one of my (many) roles in life is to inspire thought in others (and also myself).
Erm, you still need to define if these "objects" are hypothetical or if they exist in space-time.
For example. The only ZERO dimensional object possible is hypothetical (ie, an imagined point in space), as soon as that "point" becomes "real" it immediately has, at least, one more dimension.
This applies for every dimension from x=0 to x=infinity (see Cantor's Infinities)
Thus I would suggest you clarify if your analogy re the intersection of these multi-dimensional objects exists hypothetically or in reality (or what we perceive as reality but let's not muddy the waters with that pollutant shall we)
excellent observation! thank you. Let me ponder that one for a while if I may.
thinks( in paraphrase): ...I can easily see the speck in someone else's eye , but I fail to see the log in my own...
Shiva: *bows respectfully*
Ponder away my friend, it's how I like to spend many an hour!
*smile*
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