I am sorry I am so SLOW at UNDERSTANDING
try getting into the following mindset:
1) what you don't understand is not automatically "misterious".
2) people are not always there to give you knowledge for free, while being sneered at in the process.
Now, let me rephrase for the last time. After that, find a nice primary school and enlist.
everybody human who has repeatdly carried two rocks, then 1 rock, then again 2 rocks, then 3, then 4, forms over the years a proprioceptive image of what "double, treble" means.
If he then takes a pebble, then 10, then a rock, he will say "these ten pebbles weigh as much as HALF THAT rock. The rock weighs 10 pebbles, imho. that pther ROCK WEIGHS double THAT".
Then he moves on to animals and sounds (like I do, when I talk to you about acoustics).
he meets a dog barking, then two, then one, then a bigger one, then two, then three, then a small one.
He listens to a rock falling, then two, then three, then one, then nothing then one then two.
After YEARS, he will say: that "big dog is ONE AND A HALF the size of the LITTLE dog, but BARKS
three times as loud. His bark is
three times the other"
Did somebody install a meter in his brain? No.
Is his measurement totally subjective? No.
His PERCEPTION is subjective, his
measurement is...
ta daaaaa!
an analogue measurement,
based on his comparison of neural data which he feels, and visual data that he can objectively assess.
He can count dogs, he can see them. he can hear them. he can count that TWO similar dogs bark DOUBLE just one such dog,
and forms the proprioceptive image and the concept of...
ta-daaaa...
"DOUBLE"!
Since dogs and rocks are the same more or less everywhere and for everybody, since we share a COMMON reality, such assessment is BY AND LARGE common to mankind,
and that "double" is BY AND LARGE the same for me, you and my cousin.
Then centuries go by,
and a scientist discovers how surfaces react to pressure...
and how variations in pressure can be measured...
... and introduces logarithmic scales and the likes in the process.
But what I tried to explain you is the
MISTERY of "HOW CAN SOMETHING INTIMATE AND SUBJECTIVE BE RELATED TO AN OBJECTIVE MEASUREMENT?"
That ANALOGUE measurement exist, may be a surprise to you, but go to the nearest church, look at the tower: see the clock? Ok.
the same kind of measurement makes even analphabet people capable of distinguishing between "that noise" and "a noise double that".
Medecine relies on such subjective assessments when it judges if a man is deaf by feeding him sounds and ASKING him if he hears them, and how loud ("is the right hear the same as the left?" "Now: what about these two sounds: are they the same as before? right and left?").
Every day, people are given drugs and undergo surgery based on self-perception of their body's reaction to external pressure,
according to scales and proportions which are FAR MORE detailed than "double" or "treble": and they do it by proprioceptive judgement of external data.
Go figure if trained musicians can't do such assessments...
