Erik,
Well Said. I must say that i haven't read the "Principia" before. Now I have a copy and I'am reading it in my free time (Tough English).
In DEFINITION III
" Upon which account, this vis insita, may, by a most significant name, be called vis inertice, or force of inactivity.But a body exerts this force only, when another force, impressed upon it, endeavours to change its condition ; and the exercise of this force may be
considered both as resistance and impulse ; "
The reason for the above corruption of Newton's version of Mechanics is that early 20th century science had no good explanation for how "Inertial" forces work, so they simply got rid of them at the "axiomatic" stage (ie. at the ~10:15 quote from video).
I didn't go on reading Principia, Had Sir Newton explained how a body exerts the inertia force.
How does a body exert inertia force, Erik ?
How can we classify the inertia force ?
What's meant by (Force) ?
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