A good example of the importance of semantics would be the difference between infinitive and gerund sentences.
I like to swim (infinitive) is the same as I like swimming (gerund). but I stopped to smoke (infinitive) is very different from I stopped smoking (gerund). In the infinitive version stop is intransitive and means "come to
Yes, and in fact I've been wondering what the difference between "without+gerund" and "without+noun" is and what difference between "S could/would V without+gerund" and "S could/would V without+noun" the difference would make.
Do you think you can explain it as you explained the difference between "stop to do" and "stop doing"?