> You got it right the first time. No, I gave an example of inductive reasoning common in science. Induction means concluding from the particular to the general. So in this case we might have observed something happening in the past, induced it happens in all of time, deduced that future time is part of all time by definition, and finally concluded that it will happen in the future. Induction is not restricted to time, it can equally be a generalization over time or any circumstance really.

We don't check each and every room in the country to see if general relativity holds there, and then fall in despair once we realize it might have randomly stopped holding in one of them yesterday.

> No, it does not. It observes that the world behaves according to general rules. It does not presuppose that it does.

I'd like to see you explain how you can you observe a rule. Are you God? Can you see all of space and time and all possible dimensions? Science observes particulars and tries to formulate general rules based on these observations. If science would not use induction, any observation would be meaningless, because the exact circumstances the observation was carried out in would cease to exist the moment the observation was concluded.

Therefore, science is susceptible to the induction problem.