What are the two major semantic categories of modal auxiliaries? Briefly explain them.

concord

Using inversion:

He walked so fast that none of us was his equal.

double genitive

What are the two major semantic categories of modal auxiliaries? Briefly explain them.

Reinforcing the negation:

No student in the class wants to take part in the speech contest next week.

Using extraposition:

To give a child whatever he or she wants is generally considered unwise.

Using transferred negation:

I think that her son didn’t finish his homework.

Using subordination:

We have no information about this company. We still want to cooperate with it, for we have no other choices.

Using a relative clause:

We have erected barriers between the environment and ourselves. With every breath we take, we expose our lungs to the outside world, regardless of all the barriers.

Using coordination:

I caught the Eurostar train from London to Paris for the weekend. Then I flew back from Paris to London with British Airways.