Peter,
   I would use construction grammar terminology and call it a "schema", a
set grammatical construction with variable slots.

   too   [adjective]  to  [verb]

The excess of adjective (state) precludes the action or activity.

Too sick to work.  Too tired to care.  Too lazy to pick up after himself.
You can go on indefinitely.

I don't think it is an adverb of purpose (Allison's suggestion) because
there is often no purpose involved.

Craig>


 I'm wondering if someone on the list could help me with the analysis
> of the following:
>
> He was too drunk to drive.
>
> What is the function of the infinitive "to drive"?
>
> Peter Adams
>
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