Deeper than primes
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The infinite number of points along a line is not a result of doing anything. They are there, whether you specify any of them or not.
The Man
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Doron you are more than welcome to think about not defining locations all you want, but that will just get and has gotten you, well, nowhere.
The Man
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That's OK I don’t mind, it’s no trouble at all. I mean literally it is no trouble at all. No one said you have to do anything, but you’re going to continue to find it difficult to make anyone believe that you are serious about your notions.
Well I for one can’t wait to hear this ‘definition’ it will have to be a doozy.
Did you suddenly lose track from your previous statement to these two Doron? It is the number of values that must be used to define a location that determines the dimensions of an object or space not other dimensions defining dimensions.
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doronshadmi
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No they can't and the difference between a line and a line segment, clearly shows it.
No segment can be a line exactly as no segment can be a point, and this symmetrical inability guaranties that no collection of 0-dim elements completely covers a 1-dim element.
More general:
n=1 to ∞
k= 0 to n-1
No amount of k-dim elements completely covers a n-dim element.
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doronshadmi
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Demesions are not made of each other.
We simply use Locality (0-dim) as an initial dimension in order to give the names of the other dimensions, where no given dimension depends on any other dimension.
Some name of X is not X (for example: the name "silence" is not silence).
The Man said:
The name of some Locality (0-dim) is given w.r.t other dimensions as follows:
There is no name at 0-dim.
0-dim has 1 name (x) w.r.t 1-dim extension.
0-dim has 2 names (x,y) w.r.t 2-dim extension.
0-dim has 3 names (x,y,z) w.r.t 3-dim extension.
0-dim has n names (x,y,z,...,coordinate-name) w.r.t n-dim extension.
...
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doronshadmi
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Again you are not able to get the notion of building-blocks that are independent of each other, and when linked they define some complex result.
Your notion gets only the complex result and does not get the independent building-blocks that enable the complex result, in the first place.
Really? Show me a line or a line segment that doesn't have any points on it.
ETA: Or, indeed, a circle with one or zero points on it.
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Yes, they can and no, it doesn't.
If points cannot cover a line, there has to be at least a part of the line where there is no point. Show me that part of any line. Unless you can, your statement doesn't hold a 747.
No segment can be a line, but a line is made up of segments.
No segment can be a point, but a segment is made up of points. Just like a line is made up of points.
Your conclusion is just plain wrong.
jsfisher
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Evasion noted. The question was what makes something n-dimensional, not about the construction of dimensions.
Evasion noted. The question was what makes something n-dimensional, not about the names of dimensions.
Evasion noted. The question was what makes something n-dimensional, not about gibberish.
Focus, Doron. It wasn't meant as a hard question: What makes something n-dimensional.
doronshadmi
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No problem: any ≠ between arbitrary distinct points along a line is an uncovered domain of this line. I do not have to show it exactly as I do not have to count infinitely many points in order to show that there are infinitely many points.
You see jsfisher, your friend laca does not understand the difference between "line" and "line segment", exactly because I omitted the word "endless".
So specially for you laca, here is the question:
What is the difference between a single endless line (where only 1-dimesion is considered) and a single line segment?
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jsfisher
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You continue to repeat this as your mindless babble, yet it is trivially refuted. Why do you cling to something so obviously wrong?
Or, if you prefer, please indicate where along any line or line segment a place a point fails to cover. Do that, and you'd prove the rest of us all wrong. Isn't that what you'd like to do?
jsfisher
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doronshadmi
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We are talkink about an endless line, not about line segment.
Again we see jsfisher's "contribution" to this dialog.
doronshadmi
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You do not understand http://www.internationalskeptics.com/forums/showpost.php?p=5266959&postcount=6566.
Simple as that.
doronshadmi
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Now you do not get the first part of http://www.internationalskeptics.com/forums/showpost.php?p=5267138&postcount=6571 .
Show me a line OR a line segment with no points along it.
No, we see your continued contorted use of language.
What did you mean by:
What 'thing' are you referring to that is not needed?
doronshadmi
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An endless line is exactly only a 1-dim element.
A point is exactly only a 0-dim element.
No one of them depends on the other.
You did not get http://www.internationalskeptics.com/forums/showpost.php?p=5266978&postcount=6567.
Simple as that.
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Show me a line with no points on it.
doronshadmi
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An endelss line, where only 1-dim is considered (in this case we have a non-local building-block).
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