I have two syllogisms which I think are pretty similar. Correct me if I am wrong but I believe "Only A are B" is the same as "All B are A".
Only A are B (Can be rewritten as "All B are A") Only B are C Therefore, only A are C.
I believe this syllogism to be valid because if all B are A and all C are B (which are As), it follows that all C are A.
All A are B All C are A Therefore, some C are B.
I believe this syllogism to be valid as well (I think all C are B) because I think all A are B and C as well (and all B are A and C...).
Am I correct for both syllogisms? I'm having a bit of a hard time trying to understand the "only" and "all" words used in these syllogisms.