Why measurement is important?
Let’s say we set a goal.
It just acts like a location pointer in the cognitive? map which is temporal as well as spatial? in nature.
Now you basically need one thing i.e. some measurable quantity which have the following properties.
- Property 1: There exist a comparable function and the set of all the possible measurable quantity is a totally ordered set \(S\).
- Property 2: If \(a, b \in S\) and \(a \leq b\) then we say that \(b\) is an indicator that you are in the right direction.
- Property 3: There exists an element \(g\) (goal) in the set \(S\) which have the property that
\[g \geq a\ \ \forall a \in S\]
Time evolution says you are on the right track!!
Let’s say daily at some point of time you are measuring, and as a result of measure you get an element \(d \in S\), then we can track this value \(d\) everyday and plot on x-y axis
If it is increasing monotonically you are on right track, and by calculating average gradient of this curve one can estimate that goal can be achieved~ and be certain.