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Must, might, and cannot for logical conclusions about now.
Why you specifically

The rule
Modals of deduction in the present are used to make logical conclusions about what is happening now. Must is for a strong conclusion, might is for a weaker possibility, and cannot is for something that is logically impossible. With be, the pattern is must be, might be, and cannot be.
The trap

He must at work because his car is outside.
He must be at work because his car is outside.
must be + base form of be is used for a strong logical conclusion about the present.
She maybe at home, but I am not sure.
She might be at home, but I am not sure.
might is used for a weaker logical conclusion or possibility about the present.
He cannot asleep because his room light is on.
He cannot be asleep because his room light is on.
cannot be + base form is used to say something is logically impossible now.
They must a lot of homework because they are still in the library.
They must have a lot of homework because they are still in the library.
must is followed by a verb form or be, not a noun phrase used alone to show deduction.
Prove it
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