Exclusive propositions stress the necessary condition or the consequent.
| ENGLISH SENTENCE | STANDARDIZED TRANSLATION |
| Only humans are rational |
All rational animals are humans or No nonhumans are rational animals |
Other English sentences with the same translation are:
| None but humans are rational | |
| None except humans are rational | |
| No animals except humans are rational | |
| Of all the animals, only humans are rational |
Note: THE ONLY marks a sufficient condition rather than a necessary.
THE ONLY
THE ONLY is another phrase for ALL.
| ENGLISH SENTENCE | STANDARDIZED TRANSLATION |
| The only winners were logic students | All winners were logic students |
| Kiki was the only one who tried | All people who tried are people identical to Kiki |
Be careful not to confuse THE ONLY with (plain) ONLY or with NONE EXCEPT which are exclusive propositions. The latter mark necessary conditions.