Eh, I see our responses frowing longer lol.
Let's start with your geometry lesson.
You said:
A finite space simply has a finite volume and does not mean there is a place where it is absent
Lets take a square (basic geometry). There is a square, there is an end to the square. There is an area outside the square. This seems pretty basic to me. Here is a square, here there is not a square. What's the problem? Seems logical. Where is the flaw in logic?
Now, I'm throwing out the word space as far as me using it. In fact, I have not used it except to say I would accept your definition of space. Even the further explained one that space IS gravitational fields. You are the one applying the word space to my arguements.
The word place when referring to a location where no thing exsist will be known as plac# on my replies for now on. This is a concept in which you can determine where "nothing" is my seeing that there is no thing. It is a hypothetical understanding since you cannot measure "nothing" you are really measuring the boundries of exsistence. Here, geometry again. Such as you have four red squares in a cross pattern. There is an empty plac# in between all four squares and you can measure this. Not by itself, but by the four exsisting squares. Just as you can measure dark by the absence of light.
Also, when I spoke of geometry applied to reality, you said:
Nonsense. 1D lines apply to 2D surfaces as well as 3D areas.
1D lines are not present in reality. Even if you have a line of atoms side by side, it is still 3D becasue it has 3 sides to it. If you could see a line on one side, but it does not exsist on the other, that would be 1D.
After I said:
Because a finite universe is finite gravity. Which means at some point gravity, matter, EVERYTHING must stop being somewhere.
You said:
Do you seriously not see the logical contradiction here? You have just said you think there is a place[/b] where there is no space. From basic logic it follow that you cannot have a place (region of space) where there is no space
Where did I say the word "space", "place", or "region" in what you quoted me as saying above? I said I agree that space is gravitaional fields...why would I then say that there is gravitaional fields(space) where there is no gravitaional fields(space)? I didn't and you are misreading me. This is why you do not see logic.
You also said:
A finite space simply has a finite volume and does not mean there is a place where it is absent.
And you complain about MY logic? finite means that there is an end. If there is an end, then there is either something or nothing past that end. If not something or nothing tell me what then. Obviously if there is an end to spaace, universe, all exsistence, then there cannot be a something past the end, so there must be nothing. How is this illogical to you? A is exsistence, N is A - A, so if A = 2 then N = 0. This is soooooo basic logic.
You said:
In geometry you can define an object without reference to external space, and that includes edges.
Okay, define a square without its edges. Can you do it? No. Becasue without defining edges you can have no measurement. Geometry is all measurements. You start off in basic geometry class with a freakin ruler. Please show the mathmatical equation that will prove a square without using measurements. Can't wait.
you said:
This entire thread is based on your misunderstanding of geometry, for example. The volume of an object has nothing to do with external space, and the edge or boundary of an object has nothing to with any space beyond it.
Passing the fact that you are using the word space and not void where needed, I agree somewhat in what you are meaning here. However, if I draw a square, the void outside that square has no control over the square, but the square has defined an area where there is no more void.
I have on this thread agreed to your term of space, and your explanation of "expansion" although it is clearly growth. However your claims, while stating that they are logical and fall within the boundries of basic geometry...are not and do not. Correct me if I am wrong in asuming that what you mean to say is that all there is is exsistence...even if it is finite. The very fact that you say there is no "space" outside of exsistence reaffirms there is nothing outside of exsistence. No space, no nothing. You cannot get there, you cannot measure it, it does not exsist. Which is the very nature of "nothing"
Last but not least you said:
Sigh. It has already been explained to you why the universe does not posses an edge. If it did, crossing it would be exactly the same as if the universe was expanding on its own. The volume would be increasing.
This is why I put the word "hypothetical" in quotation marks before the word edge as you quoted me saying in your response. Agreed that if you did reach a
"hypothetical" edge and went beyond it you would not be outside the universe as you are part of it. However you can clearly imagine if you were two steps ahead...what that is right now before you make it there. It is nothing. No space, no time, nothing.
If you are to respond again with "geometry" this and "geometry" that, would you please refer to some equation or graph which is part of geometry that would serve your ideas? Perhaps then you can help my "limited" knowledge of geometry as you put it lol.