Everyone else believes x' = x - d equates the relationship between coordinates in different systems for a single point
How does that sound for wording regarding what everyone else believes?
This is a very logical place to start.
Schrollini wrote:That's true, but it's not really a belief. There's no meaning inherent to the symbols "x' = x - d"; we have to imbue them with meaning by deciding what they mean. And the meaning we choose is that this give a relationship between coordinates in different systems for a single point.
Schrollini wrote:There's no meaning inherent to the symbols "x' = x - d";
That is getting closer to the essence of things.
Schrollini wrote:we have to imbue them with meaning by deciding what they mean.
True, Keeping in mind, please, "mathematics in not subjective". So, from my
point of view, given S(x,y,z) defines x, as the first coordinate (distance).
For me, there is no "choice", up for grabs.
x, for me, is inherent
to S, given Cartesian coordinate system S(x,y,z).
Just as x', is mathematically defined, given S(x',y',z').
Physicists cannot decide what they apply to! They are coordinates.
Physicists can decide that POINT P = (x-d,0,0) = (x',y',z')....but that has nothing to do with x the abscissa/distance.
The manifold, for me, is all smoke and mirrors, and x' = x, is incredibly obvious, and ONLY has to do with
coordinates/abscissa/distances/lengths/numbers/quanta. So, I hear you loud and clear.
As a mathematician, given S(x,y,z)
, imo, Physicists do not get to "choose"/imbue. Physicists needs to accept the mathematical reality, that x IS the first coordinate of S, Given S(x,y,z).
btw, they just now removed my dead fridge after I found out that unplugging it may not stop the leak at all.
So, I am running on fumes...and finished posting for tonight. I will try and read all the posts, I think I might have missed a couple recently. Need a break, I'll fix typos tomorrow.
"While statistics and measurements can be misleading, mathematics itself, is not subjective."
"Be careful of what you believe, you are likely to make it the truth."