This word is acceptable for play in the US & UK dictionaries that are being used in the following games:

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• Wordscraper
• Wordosaur

n. The state of being sagacious; an acuteness of perception or discernment.

n. The quality of being sagacious; sagacity.

n. the trait of forming opinions by distinguishing and evaluating

n. the mental ability to understand and discriminate between relations

"The one thing that really -- the case in point in this is how she gushed personally when the Democrats were praising the sagaciousness and independence of Iowa voters."

wiseness    wisdom