Counterfactual Conditionals : Orthodoxy and its Challenges

There is an intense debate in the philosophy of language and linguistics on so-called counterfactual conditionals. I shall introduce what I take to be the standard view:
First, counterfactuals have truth–conditions.
Second, these truth–conditions can be spelled out in terms of possible worlds.
Third, the possible worlds deciding on the truth or falsity of a counterfactual are those that minimally differ from the actual world.
Then I shall point out selected challenges to the standard view.