semantics - 'A / One / At least one student entered the room.' Are these the same? (truth-conditionally)
I just wonder if the two following sentences are truth-conditionally the same. Sentence 1 essentially means there existed a student who entered the room, and this situation includes two, three or more students entering the room. Hence, I believe these two sentences are truth-conditionally the same. Are they?
- A student entered the room.
- At least one student entered the room.
How about
- One student entered the room
I gather this is different, as sentence 3 only means one student, not more and not fewer?
Any and all insights would be welcome.
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