# Do Not Extrapolate

Suppose that you got some data points, f(1)=2, f(2)=4, f(3)=6. And
let's say the variable means time. Then will f(4)=8 be true?

NOPE. You don't know anything about that. You can't know the futur
e just with past data. MOORE'S LAW CAN'T BE TRUE FOREVER. What you
were doing was just a speculation or a gambling. This is called ex
trapolation.

You can know the future, only with laws of the logic & nature. And
with past data, you can just verify a hypothesis if it's replicabl
e. In other words, you can verify the orbit of a planet with past
data, and can know the place of the planet at a time by using the
orbit, but you can't apply this to any other objects which would n
ot have an orbit.

But you can guess that f(1.5)=3, f(2.5)=5. This is called interpol
ation and is totally fine especially if you can assure continuity.
Because those are just missing data occured in the past.