"intuitive doubt" is a correct and usable phrase in written English
You can use it when you want to express a feeling of uncertainty or hesitation based on your instincts or intuition, rather than on concrete evidence or facts. Example: Despite all the evidence pointing towards his innocence, Sarah couldn't shake her intuitive doubt about his involvement in the crime.
While this "disturbance" picture of measurement is intuitive – and no doubt what inspires the common understanding exemplified in "Numbers" – it leaves the reason for uncertainty mysterious.
On the other hand we have the conviction, also no doubt intuitive to the degree that it is strongly held, that we are indeed creatures of accident, alone with our brilliance unless accident has come up with like creatures elsewhere.
Simple new stats such as WHIP, OPS, and B.A.B.I.P. would no doubt support intuitive fans and front office staff alike, so long as it's merely sprinkled here and there.
This is the product that many Apple fanboys have been praying for their whole lives, and while the iPad's sleek lines and intuitive interface will no doubt excite and please many thousands of consumers, there are others that are less impressed with the technical characteristics of the first-generation device.
Hunter has hardly mentioned it to his players, as if to avoid planting a seed of doubt to their intuitive movement around the court.
While Murray's brilliance as a counter-attacker and intuitive strategist has never been in doubt, this provided confirmation that he can also turn on the aggression to devastating effect.
After eight years of loyal service to a consummate, intuitive political performer, Mr. Gore left no doubt from the start tonight that he was determined to present himself without Mr. Clinton's shadow darkening his center stage.
Intuitive action leads us home, without a doubt in our minds, we are safe-inside of ourselves.
A wild idea, no doubt, but maybe a little more intuitive in its way than the story commonly told.
Very recent experimental results raise doubts about the Euclidean characterization of intuitive space, at least as far as visual space is concerned; see Koenderink et al. 2010 for details.
