How can we express - - - - - -?
V.Gopal
at certain 'rate'. How can we express its rate of elongation?
We cnnot make any line continuous without introducing the idea of
'elongation' and 'contraction' of lines in coordinate geometry.
Uncle Al
Lines are infinitely long. Line segments are no problem to anybody
but you.
Location, velocity, acceleration, jerk, snap, crackle, pop - in that
order, distance/time^n.
General Relativity is a tensor theory - no coordinate background at
all. When did topology ever care about length? You are a loud boring
flaming imbecile.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
"Quis custodiet ipsos custodes?" The Net!
Mike Hanson
> Location, velocity, acceleration, jerk,
'Jolt' to the British. We like to be different.
> snap, crackle, pop - in that order, distance/time^n.
I hadn't heard these latter three, but, thanks to Rice Crispies, I
shall never forget them. This is good naming - cute but effective.
Mike.
Douglas Eagleson
"V.Gopal" wrote:
That is a geometric necessity question or a mathematics set
question. Elongation of a set is possible and might exist for real,
but it sure is not common. Not common because the cause
of the set itself must occur by the elongation of a cause
of all sets. Meaning the cause of all differentials. And graphs
do not cause differentials.
To express the differential of its own cause is the abstracted
relation, you likely are thinking of. And an example is one
made by an engineer. Take a spring and cause the
material to alter as the spring is compressed, and use
a spring to alter that spring. Making a highly nonlinear
differential.
So, in the end you are simply adding another independent
variable. A common occurance, now.
Geometric necessity and set theory was not really examined.
If I have any question like this, it means do I need
a nonlinear protractor. And someday we just might.
How do you know when you need one? If you find
a relation without identifiable variables a hidden
constant may cause one to be needed. Or just say,
you want to try to observe the constant, to allow
normal protractors. A true hidden variable means
a function is not going to define the relation, except it
means the abstract function will be missing.
Right now a very serious variable is missing, the cause
to all differentials. A universal abstract physical constant.
Except you do not need to look to hard, look to the
rereading of the Greek schools.
Douglas Eagleson
Gaithersburg, MD USA
V.Gopal
I salute you for your reply! It is excellent, clear and explicit.
I believe that the difficulty arises because here 'elongation'is an
idea that involves 'self-reference'. We always think the problem of
self-reference in terms of negative effect leading to a dead-lock,
e.g. "I am a lier." In this case, from what I say no one can decide
whether what I am saying is true or false. It does not demonstrate
the logic behind self-reference. Nothing can demonstrate the logic
involved in self-reference. The formula for 'Rate of elongation' has to
reveal universally applicable logic involved in self-reference - this
would become the law of thought or the law of investigation of truth.
"Velocity proportional to distance" (expansion of universe) involves
self-reference - here use of the term 'velocity' is wrong; it must be
'acceleration'. Similarly 'gravity inversely proportional to hight'
makes gravity (g) at a point, inexpressible. The working of a
predictable system involves self-reference.
'Elongation' involves a quality like elasticy and also environment
e.g. force, and, 'elongation' represents state of change. State of
change involves self-reference. Geometrical curves represent state
of change, and state of change involves cntinuous falsification of
the past. Therefore geometry of continuous lines represents nature.
This is the reason why in statistics IF the resulting curve is smooth
prediction 'becomes' accurate with zero-error.
Douglas Eagleson
"V.Gopal" wrote:
Thanks for liking my reply.
A quote from yours:
"Geometrical curves represent state
of change, and state of change involves cntinuous falsification of
the past. Therefore geometry of continuous lines represents nature.
This is the reason why in statistics IF the resulting curve is smooth
prediction 'becomes' accurate with zero-error."
In simple test wording you appear to state that geometry
is a cause of the world or a knowledge of the world.
It is a real nice dilemma! Thanks
V.Gopal
is
not a 'cause', nor geometry is 'knowledge' of the real. Geometry gives
us a vague idea about cause - effect relation. Geometry tells us that
cause and effect are inseparable; cause and effect are contiguous in
space; cause and effect are continuous in time, cause and effect are
asymmetrical or 'one sided' etc. Geometry gives us an idea about the
reason why a system is predictable. It gives a very vague idea about
how a predictable system should look like. It tells us that if we want
to make prediction about a system then the system to which we want
to apply knowledge, the same sysytem must be source of all knowledge
that we use to make the prediction. Unfortunately the 'method' turns
out
to be statistical. In any statistical prediction the 'curve'
seems 'move' (acquire a particular shape) on its own without any
extrnal cause. In statistics we use 'dead information' and not
knowledge drawn from experience. Each information is a state of
'no change' and not the state of change, but the curve as a whole
projects the state of change without giving us any knowlege as to why
the system is prdictable, and, if we do not know why the system is
predictable it means we do not have 'true knowledge' of the system,
whether it is a piece of matter or the universe as a whole.