Measure
&
Estimate
So when humans realised that they could use numbers
for all sorts of different kinds of measurement,
they quickly realised that it would be useful
if everyone around could agree on sets of units,
shared definitions.
Of course,
early measurements were associated with the human body,
being as how they usually had that with them,
the length of a foot,
or the pace of a yard.
But these were very approximate,
inevitably giving advantage to those with long legs and big feet.
What was close enough had to be agreed,
so standards needed to be defined locally
and eventually enforced by law,
until such time as their horizons expanded
to the extent that they needed to form international agreements
on standards, sometimes even defined
with the precision associated with and assumed from
the decay of an atom.
Extraordinarily precise
microscopic measurements have been made possible
by technical advances,
but always there is some acceptable leeway
beyond current levels of precision,
and as the chalk on mathematicians blackboards
leads science into ever more minimal areas,
when they need definitions of measure
for dimensions down at quantum levels
they can find that things start to get a little stretchy.
It's hard to measure Planck units
and tiny things like tiny strings.
Measurement defines the edge
of what is tangible in mathematics,
and as prior certainties about space are swallowed by space time
and entanglement seems to collapse
any kind of space at all
when people start talking about stuff with no mass,
it can be seen that measure is not intrinsic to objects
made of some kind of material,
but an experience of the one who views it
and understands it in a shared human context.
But those rarefied levels of definition
on the intangible edges
have little practical use in people's experience
of very tangible lives
At one level or another we are all happy
to accept some degree of estimation
that is appropriate for whatever situation we are in,
from close round numbers to however many decimal places,
but we should always be aware of
when an estimate is no more than a wild guess.