A measurement quantifies a certain object or event; it gives them a number in
physical units.
In this sense, you can't quantify the freedom you have;
If this would be possible, you would have to make an action (the measurement)
which gives you back a concrete number. This number would show "your
freedom", but such an action does not exist.
You write the following:
"Other aspects of freedom are also measurable. "I may move from place to
place without restriction" is either true or it isn't."
And if you can go in another direction twice as far? How does your freedom
increase? Does it become twice as big?
Many people discuss about which thing includes freedom and which not.
I'm not allowed to go 20 meters south, because there's the house of my
neighbour. Does this restrict my freedom? I don't think so.
No measurement will show up the answer.
No science at all.
I will agree that freedom is about science if you come and show me the newest
numbers of your freedom measurement.