
'Must' can express obligation or deduction; 'can't' (not 'mustn't') expresses the negative deduction.
"Must" in deductions expresses positive certainty: you are almost sure something is true based on the available evidence.
She passed every single exam without studying, she must be incredibly smart.
They have not eaten all day, so they must be starving by now.
That cannot be his sister, they look absolutely nothing alike.
"Can't" in deductions expresses negative certainty: you are almost sure something is impossible or cannot be true. It is the logical opposite of "must".
You must always wear a helmet when you ride a bike, it is the law.
Students must not use their phones during the exam under any circumstances.
You must try this restaurant, the food is absolutely incredible.
Common mistake
"He mustn't be here yet" is wrong for negative deduction: use "can't". "He can't be here yet" = it is impossible that he has already arrived. "Must" is for positive deduction. "Can't" is for negative deduction.
Trick to remember it
Quick rule
Did you know?
The epistemic MUST (deduction) and the deontic MUST (obligation) are the same grammatical form with two completely different meanings, and only context allows you to distinguish them. This ambiguity is what linguists call "modal polysemy." In Spanish, the distinction is clearer: "debe ir" (obligation) vs "debe de haber ido" (deduction with the particle "de"). In English, the same form "she must go" can be obligation or deduction. Detective Sherlock Holmes is famous for constantly using the epistemic MUST: "You must have been in Afghanistan, I perceive", he is not saying Watson has an obligation to have been in Afghanistan; he is deducing it is logically impossible that he was not.
Exercise 1 · Pick the right one
She answered every question correctly. She _____ have studied a lot.
Exercise 2 · Pick the right one
He _____ be tired. He slept for twelve hours and just woke up.
Exercise 3 · Form the word
'Must' indicates obligation (you have to do it); 'mustn't' indicates prohibition (you must not do it).
'Should have' expresses a past obligation not fulfilled; 'could have' expresses past capacity or possibility not acted upon.
'A' is used before consonant sounds; 'an' is used before vowel sounds.
'A lot of' works for countable and uncountable; 'many' only for countable; 'much' only for uncountable.
Bryan López
Founder of SpeakUP Academy