Why was the speed of light even considered to be infinite?

[sophiecentaur]

How many cars arrive in Providence per day? As many as there are specific degrees in a circle. So infinite.

I think you are going off in the wrong direction with this argument. You are choosing a 'degree' as a fundamental step in angle size, which doesn't make sense but the question is considering a single track road (one dimension) - a much simpler statement of the problem.
Stars don't follow the 'trees in a forest' model, where you will see 'wood' wherever you look in an infinite forest (whatever the size and spacing of trees). That implies that either the universe is not infinite or that it is infinite and there is 'something going on with' the light from very distant stars. (Or both of course)

 

[Noel]

One car per day leaves Boston for Providence at 30 mph. How many cars per day arrive in Providence?
One car per day leaves Boston for Providence at 45 mph. How many cars per day arrive in Providence?
One car per day leaves Boston for Providence at 60 mph. How many cars per day arrive in Providence?

I think it depends on how many cars leave other locations for Providence each day, how many breakdowns occur, etc.

 

[sophiecentaur]

I think it depends on how many cars leave other locations for Providence each day, how many breakdowns occur, etc.

I hope that's a joke.