There's another example from science like this.

On a heat source, put a beaker of water.

Then put a thermometer into that water

and turn on your heat source.

Then record as the time passes,

what the temperature of the water is.

You will notice that the temperature of the water will increase.

You can do this with a source pan at home.

So long as the heat source is relatively constant,

the temperature rise will be relatively constant as well.

So after one minute, the temperature might go

from 20 degrees Celsius to 30 degrees Celsius.

Imagine every minute climbs by another 10 degrees Celsius.

But at some point it's going to stall.

When it hits the boiling point.

Precisely.

Now, if you're a thoroughgoing inductive us,

or even a Bayesian reasoner, and you don't know anything

about the boiling temperature and what phenomena happens

at that temperature, you can join all of those lovely lines

into a perfectly diagonal straight line

and extrapolate off into infinity.

...