I am trying to complete the following sentence:
This job requires both creativity and X
Where X is a single word describing the ability to think analytically. What would the best word be?
Here's something fancy to impress the ladies: perspicacity.
"Nathan Rothschild was a man of keen perspicacity and profited immensely from his shrewd decision to employ a courier at the Battle of Waterloo, which lead to his eventually becoming the wealthiest man in all of Britain."
1. Acute discernment or understanding; insight.
2. The human faculty or power to mentally grasp or understand clearly.
3. (obsolete) Keen eyesight.
You could use exactitude, thoroughness, precision, or rigor if you mean thinking in the mathematical sense of "analytical thinking".
You could use acumen, discernment, or shrewdness if you mean "analytical thinking" in the sense of "critical thinking".
I personally like shrewdness because of the connotation of "good business sense":
This job requires both creativity and shrewdness.
"Analyticality" fits the bill. (Whether or not it sounds good to many is another question.)
As suggested earlier by @F'x, "rigor" is pretty good, and it plays off of and creates a nice tension with "creativity" .
It suggests rather than capturing whole "the ability to think analytically," so there is conceivably some ambiguity there. But personally I think any ambiguity there is appropriately resolvable by anyone with creativity and the ability to think analytically.
Often by thinking more specifically about what kind of analytic thinking you really want, you'll realize there is a better word than any of us could tell you without knowing your specific situation. (Although, "perspicacity" and "logic" are good generic suggestions.)
"Properly", analysis means breaking apart ideas. But due to uncareful usage, it's become synonymous with:
and many other things. Do you really want to hire someone with the ability to break things apart? Or do you want someone smart? Oder...?
I know the questioner asked for a single word, but I would say the best way to complete the sentence and achieve the desired sense is in fact to use the phrase "critical thinking," which was mentioned as a gloss by another member but not offered as an answer to the question.
This job requires both creativity and critical thinking.