Hi guys,

I made him do his homework.

(1) Is this sentence form correct? [subject + make(s)/made + object + v] or verb phrases?

She helped me get rid of my addiction for cigarettes.

I don't really grasp the structure(the reasoning behind it) of these types of sentences.

(2) Are the causatives and help(in this case) modal verbs?

(If they are modal verbs, then I can understand why the verbs behind them are in base form. So, are they?)
I made him do his homework. (1) Is this sentence form correct? -- Yes.

(2) Are the causatives and help(in this case) modal verbs?-- No, they are main verbs 'causing' bare infinitive verbs.

(If they are modal verbs, then I can understand why the verbs behind them are in base form. So, are they?-- No. Modals are not the only verbs that take infinitives.)
Thank you!

bare infinitive - an infinitive without the preposition to?

Have one additional question

How would you call the help verb in this case (I don't think it is a causative verb, is it?)?
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bare infinitive - an infinitive without the preposition to?-- Right.

How would you call the help verb in this case (I don't think it is a causative verb, is it?)?-- 'Causative verbs' are a wide collection of verbs in which the infinitive clause represents the resulting state. If that definition holds, then 'help' is certainly a causative verb there.
I see!

I had no idea!

I just followed the grammar book, thinking causative verbs are make, get, let, have...

Now I know better! Thanks for the input.
Have, make and let are a subset of causative verbs called coercive verbs. Get is in another subset, I suppose.
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Enlightenment leading towards chaos... Subsets of causatives... My brain is fried by the ever more complicating structures of the English language...