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The Collaborative International Dictionary
Clear-headedness

Clear-headed \Clear"-head`ed\ (kl[=e]r"h[e^]d`[e^]d), a. Having a clear understanding; quick of perception; intelligent. ``He was laborious and clear-headed.''
--Macaulay. -- Clear"-head`ed*ness, n.

Wiktionary
clear-headedness

n. the state of being clear-headed

Usage examples of "clear-headedness".

If I presumed to ease your mind, forgive me, but the time is now for clear-headedness, yes?

In the latter case, he was experiencing that clear-headedness sometimes granted to people just about to die.