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Newton's Laws of Mechanics are not universally true. They are especially inaccurate near the speed of light.
But for most practical purposes, they remain an extremely legitimate and useful way to understand much of the physics of everyday life. The fact is: I can make a good prediction of how to bank my pool shot based on Newtonian Mechanics. I don't have to account for how I would bank the shot if near a black hole to make a good decision.
Likewise, one counter-example does not invalidate his argument.
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I am relatively stupid, so let's instead talk about something more along the lines of.....
The square root of X=(the secant of the tangent of y)-(2 times the hypotenuse of the x-axis),all divided by pi....in fact,
this pi