Originally posted by KellyJay…...I'm having trouble with how you define circles and straight lines. . ...…
"I do not define a straight line as a circle (you clearly haven't been reading my posts very carefully). "
"So circles are in fact always straight lines in at least one set of dimensions by definition. "
Yes, I'm having trouble with how you define circles and straight lines.
Kelly
why don’t you study geometry?
Originally posted by KellyJayThat is because you clearly don't understand basic English words such as 'definition'. If I tell you that a cow is always an animal, that does not in any way shape or form imply that I define cows as animals. I gave a definition for a straight line and it did not include the statement that a straight line is a circle. I merely observed that a circle is a straight line in the polar co-ordinate system.
Yes, I'm having trouble with how you define circles and straight lines.
Kelly
Originally posted by KellyJayNo they are not straight. You told us quite clearly that you defined straight as being without curves of any kind in any dimension. The diameter of a circle in the three dimensional universe is always curved in the fourth dimension and is therefore not straight by your definition. If you choose to ignore the fourth dimension then you are admitting that my definition is a better one and yours is of no practical use whatsoever.
I find your use of language ridiculous so far, with you that has been
my point. I have given you a definition of straight and I have shown
you that your employment of circle being straight from a certain point
of view isn't true but an illusion if you are looking at the
circumference; however, for an example of straight look at the
diameter or radius of a circle those are straight.
Kelly
My statement that a circle is a straight line in certain dimensions is most definitely not an illusion, it is a mathematical fact based on the definition I gave.
Originally posted by twhiteheadYour claim that a circle is a straight like is like saying 6 is an odd
No they are not straight. You told us quite clearly that you defined straight as being without curves of any kind in any dimension. The diameter of a circle in the three dimensional universe is always curved in the fourth dimension and is therefore not straight by your definition. If you choose to ignore the fourth dimension then you are admitting that my ...[text shortened]... ns is most definitely not an illusion, it is a mathematical fact based on the definition I gave.
number because you can there by adding 3 and 3.
Kelly
Originally posted by KellyJayYour claim that a circle is a straight like is like saying 6 is an odd
Your claim that a circle is a straight like is like saying 6 is an odd
number because you can there by adding 3 and 3.
Kelly
number because you can ( get ) there by adding 3 and 3.
Kelly
It looked good when I wrote it the first time. 🙁
Originally posted by Andrew HamiltonKellyJay
[b]…...I'm having trouble with how you define circles and straight lines. . ...…
why don’t you study geometry?[/b]
I wasn’t being funny or sarcastic in any way when I asked that -seriously, why don’t you study geometry? -in particular, 4-dimensional geometry?
This could allow you to understand what cosmologists and scientists actually mean by “4-dimensional curvature” and understand how a line can be straight in 3-dimensionals but curved in 4-dimensionals.
I know you think it is erroneous to think you can have such a thing but, seriously, ask yourself “how do I know it is erroneous when I don’t understand it?” -the only way you can find out is if you find out for yourself by studying 4-dimensional geometry.
And, also ask yourself “how is it that both the science of geometry and physics say you can have such a thing and it makes sense if it didn’t make sense?” -I mean, do you really think you know better than all the greatest minds in the world who understand and know a lot more than me and you?
Originally posted by KellyJay6 is not an odd number by definition. A circle is a straight line under certain co-ordinate systems by definition.
Your claim that a circle is a straight like is like saying 6 is an odd
number because you can there by adding 3 and 3.
Kelly
I no you don't like it, but you are wrong on this one and should simply admit your ignorance of geometry and walk away, you sound like a little child who has just been told the earth is round trying to claim that it is flat.
Originally posted by twhiteheadMy point exactly, 6 is even, yet if you choose to look at it by
6 is not an odd number by definition. A circle is a straight line under certain co-ordinate systems by definition.
I no you don't like it, but you are wrong on this one and should simply admit your ignorance of geometry and walk away, you sound like a little child who has just been told the earth is round trying to claim that it is flat.
how you get 6 by the numbers 3, you still cannot say 6 is odd.
You want to take a small part of the equation for putting together
a circle and suggest that means a circle is straight line.
Kelly
Originally posted by KellyJayNot so at all. My definition of a straight line is that in a given co-ordinate system (or set of dimensions), the formula for the graph of the object in question is of the form y=ax1 + bx2 + cx3 .... Where x1,x2,... are dimensions and a, b, c etc are constants.
My point exactly, 6 is even, yet if you choose to look at it by
how you get 6 by the numbers 3, you still cannot say 6 is odd.
You want to take a small part of the equation for putting together
a circle and suggest that means a circle is straight line.
Kelly
You will find that under the Cartesian co-ordinate system that definition matches the typical view of a straight line that you have in your mind.
Do you understand the definition thus far? What problems do you have with such a definition?
Would you prefer to be more restrictive and only use the word when referring to Cartesian co-ordinates?
Do you realize that since space is not flat, such straight lines could not exist in reality?
Most important of all, whatever we choose to call the lines that I defined in the first part of this post, the arguments in this thread are quite solid mathematically and your attempt to dispute a word being used is little more than admission by you that you have no rebuttal worth making.
Originally posted by twhiteheadYou believe a straight line cannot exist in reality, okay. No, your
Not so at all. My definition of a straight line is that in a given co-ordinate system (or set of dimensions), the formula for the graph of the object in question is of the form y=ax1 + bx2 + cx3 .... Where x1,x2,... are dimensions and a, b, c etc are constants.
You will find that under the Cartesian co-ordinate system that definition matches the typical ...[text shortened]... e a word being used is little more than admission by you that you have no rebuttal worth making.
reality and mine are different, you can do what you will in yours.
Kelly
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Originally posted by KellyJay…your reality and mine are different…
You believe a straight line cannot exist in reality, okay. No, your
reality and mine are different, you can do what you will in yours.
Kelly
How can they be different when reality is independent of what we believe it to be?
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Originally posted by KellyJayget a earth globe. draw a line from new york to the coast of france. it is a line right? meaning if one were to walk on it, it would seem like a line, no going left or right. meaning it is a straight line in 2D(the surface of the earth.) but since you drew the line on a sphere, how can it still be straight in 3D?
You believe a straight line cannot exist in reality, okay. No, your
reality and mine are different, you can do what you will in yours.
Kelly
EDIT: like twhite said, in a given coordinate system, you may draw a line, but it would be curbed in another coordinate system. also i may add that you might dig a tunnel from new york to the coast of france, (taking a shortcut through the 3rd dimension to reach your destination) and that would be a straight line. but right now, apart from the SF wormholes, one cannot take a shortcut through the 4th dimension and make a straight line in 3d space
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Originally posted by ZahlanziAgain, you can take a globe wrap a tape measure "AROUND IT" and
get a earth globe. draw a line from new york to the coast of france. it is a line right? meaning if one were to walk on it, it would seem like a line, no going left or right. meaning it is a straight line in 2D(the surface of the earth.) but since you drew the line on a sphere, how can it still be straight in 3D?
it will connect the dots across the globe. If you take a sphere and look
at its diameter or radius, you will have straight lines.
Kelly