Question

1. I move that a vote be taken on this.
2. I suggest that a vote be taken on this.
(Does #1 mean #2?)

3. He suggested that she was a professor.
(Is this sentence correct? What does 'suggested' mean in this sentence? What other words can we use?)

4. He suggested that she might a spy.
(Is this sentence correct? What does 'suggested' mean here?)

Answer 1

1 is more formal than 2. A suggestion is one person's wish or opinion, but to <b>move</b> (to make a motion) is a formal action at a meeting that needs to be seconded and then voted on. It may pass or it may not pass, but the process in a formal meeting needs to take place.
http://www.rulesonline.com/

3. This sentence would make better sense if you wrote this: He told us that she was a professor. The verb "suggest" doesn't work well here.
http://www.dictionary.com/browse/suggest?s=t

4. In this sentence, "suggest" is a good verb. It means he thinks she's a spy, but he's not sure. He can't prove it.