Re: Exact-Point paradox

Dear William Hughes and Laureano Luna:

for the number 0.999... , you cannot deny there are INFINITE REAL
NUMBERS contained in this 0.999... every one of them is bigger than
zero , which leads to k* 00 = 00

( 00 means INFINITY )

better explination is this:

1) For 0.999... there are infinite 9s , every 9 of them is a
positive real number by itself "no matter how small it is "

2) Every 9 of them is NOT JUST A POINT, it is a positive real number
bigger than zero, which means, if any one of those 9s is represented
on real numbers line, then it has a start point and an end point and
between those points there are infinite points like any other real
number.

3) because there is an infinite number of positive real numbers bigger
than zero " the 9s in 0.999.." , then in 0.999.. we have the
addition of infinite positve real numbers which must be INFINITE .

4) from (3) there is a contradiction because 0.999... is a finite
real number which is 1



HOWEVER, TO DECLARE MY STAND IN THIS ISSUE, I WILL SAY THE FOLLOWING:

I think we can agree on one point: There is a big mystery in this
issue,

" there is an exact point, there come points after it,, but none of
them is
the immediate successor",when I made my post, my concern was not to
falsify any strong premise
in this issue, my real concern was to indicate there are "lost
premises" in the big whole picutre,
and if we find those premises, then the whole issue will get back to
be understood and make sense again.

problem with many mathematician is they are in love with the statement
"things do not need to be understood to be true!"
well this is just an escape button was made to give execuses for
those lazy who do not want to dig deeper
to find what make the whole issue clear and understood,,,the target
for science is to make things understood.
and by the way ,in explaining those things that are "un-understood"
there hide huge potentials. Even in explaining
little mysteries come very big revolutions in sciences.

Best example for this come from the great work of Albert Einstein,
when "Lorentz transformation" could not explain
the mystery of light speed in Electromagnetic waves equations," speed
of light looked constant regardless of
the observer speed" ,,, Einstein could just relax and say " things do
not need to be understood to be true " ...
putting in mind no body could claim that "Electromagnetic waves
equations" or " Lorentz transformation " no body could
claim any one of them to be wrong. But Eistien instead of using the
escape button , he was brave and persistence enough
to find the lost premise which made this mystery disappear and make
things to be understood again ,,, the lost premise
was " Time is Relative not Absolute" and he did not need to falsify
any solid premise or law.

I think the statement "things do not need to be understood to be true"
is a TRUE statement but NOT COMPLETE,
the complete statement should be " things do not need to be understood
to be true, but there most be premises to make them
understood in the whole big picture"

The main point is, for our "Exact-point" issue and the mystery in it,
may be mathematicians have the privilege to say" things do not need to
be understood to be true" but people in physical world unfortunately
do not have that privilege, because all physical object consist of
mathematical points at their fundamental level " like the real numbers
line" , in fact real numbers line is a real physical object in one
dimension. So the problem of the existence of an exact point and there
is no immediate successor, while at the same time there are points
which come after that exact point,,, that mystery is a real mystery in
the real physical world , and you cannot claim that things are
abstract and we should not give much concern ,, you cannot claim that
for real things in the real world,,,,

from this,there came Zeno Paradoxes which in fact made good
claimsthat movement never happens ,,, and those paradoxes were very
annoying for a long time. However, since the emerge of Calculus ,,,
those kind of paradoxes set backward because we now have the tool to
tell the exact output and say such movement happens,, but the
philosophical part still never solved... it is still a big mystery
HOW movement happen from one point to another point through streams of
points and without passing any point as the first point or any finite
order. You can read more about this subjectcalled "the super task" and
how tricky it is, in Stanford University site:

http://plato.stanford.edu/entries/spacetime-supertasks/

The exact-point issue , is just a reflection for the basic dilemma of
seeing one object as finite .. and at the same time that object is
consisted of infinite objects " the finite infinite problem" ,,a
property and its negation at the same time for the same object,
however, solving this exact-point mystery should solve that problem
and other problems in mathematics and physics.

What I am sure of about this issue is ... there is at least one missed
premise ,, which does not contradicts the other solid premises ,and at
the same time makes things to be perceived in a clear and understood
manner ..like how the premise of " Time relatvitiy" solved mysterymade
by "electromagnetic waves equations" and "lorentz transformation" ,
and like how the premise of "energy quanta" solved the mystery
appearedfrom applying classic physics laws on "Black Body Radiation
phenomenon" and made the big revolution called "Quantum Mechanics" in
physics.

I would like to hear your stand from what I have written here.

Regards
Said Alyami


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