For example in this sentence:
This may mean he believes the document is authentic.
What does this phrase mean? Does it mean it is certain the man thinks the document is authentic or it is only possible/we are unsure he does for certain.
For example in this sentence:
This may mean he believes the document is authentic.
What does this phrase mean? Does it mean it is certain the man thinks the document is authentic or it is only possible/we are unsure he does for certain.
May is a modal auxiliary verb. There are nine of them in English, and they're all weird, irregular, and illogical. So it's not surprising you're puzzled. One of their features is that they all have several kinds of meaning.
In particular, may, like all modals, has two senses (with different strange names, naturally):
Note that, in a social context, permission means possibility, especially in a culture where whatever is not compulsory is forbidden, like schools or prisons.
The presenting example
- This may mean he believes the document is authentic.
occurs in a context with previous discourse, including whatever the referents for this, he, and the document are. Given that, what it means is that, in the opinion of the speaker, there is a possibility (ranging from 1% to 100%, with no other clues) that he believes the document is authentic.
There is no certainty at all in the meaning of that sentence; it's all possibility. Use of modals of any kind (whether they refer to Possibility, like may, or Necessity, like must) precludes certainty. Contrast the sentences with modals below, with the sentence at the end, which simply asserts certainty:
It is uncertain whether he believes it is certainly authentic.
Usually the sort of context for this would be a situation where someone is pointing that certain acts of his are explicable if he believes it to be authentic, although it does not preclude other explanations, such as, he could be hedging his bets in case it is, or he has another motive entirely.