Are we completely sure that the initial condition is exactly the same? If so, do we know what causes the velocity to change, or does it change at random? If it doesn't change at random, then how does that invalidate determinism?
thank you for the response and the time you put in. That helped somewhat.
So are you saying that a particle doesn't have a specific position and velocity simultaneously? Or are you saying that it is impossible to know the particle's position and velocity simultaneously?
This doesn't prove...
The general definition is that we cannot determine the location and velocity of a particle at any given moment. However, my intuition is to assume this is due to shortcomings in technology and measurement, but apparently that's false. This is a rule of nature.
Can you explain what exactly the...