One of my notes on a book I'm reading:
To-infinitive
1. After verbs expressing wish, liking and permission
If the meaning is passive, use the passive to-infinitive
–ing form cannot be used
2. After verbs expressing belief or opinion
Used in formal English
In informal English, a ‘that’ clause is used after some verbs
A ‘that’ clause must be used with other verbs that ‘to be’
3. As a subject or part of the subject
The to-infinitive usually refers to a specific occasion (-ing form cannot be used).
The –ing form can only be used in general statements.
4. After a form of 'be'
The to-infinitive usually refers to a specific occasion (-ing form cannot be used).
Both the –ing form and the to-infinitive can be used in general statements.
5. To express purpose
‘In order’ or ‘so as’ can be put before the infinitive
Negative purpose is expressed by ‘in order not’ or ‘so as not’
If the adjective (before the to-infinitive) is preceded by ‘so’, the infinitive must be preceded by ‘as’.
e.g. She was so kind as to invite me to dinner
6. After certain verbs:
afford, agree, arrage, claim, consent, dar, decide, decline, demand, deserve, expect, fail, hesitate, hope, learn, long, manage, offer, pretend, promise, refuse, swear, tend, threaten, undertake, want, wish.
The next chapter will discuss the -ing form, so I can't tell you much about that yet.
Perhaps in a few days