The phrase "a kind of intuitive" is correct and usable in written English.
It can be used when describing something that has an intuitive quality or nature, often in relation to understanding or perception.
Example: "Her approach to problem-solving is a kind of intuitive understanding that often leads to innovative solutions."
Alternatives: "somewhat instinctive" or "a sort of innate".
And this answer has a kind of intuitive appeal.
Holden is meant, it's true, to be a kind of intuitive moral genius.
Andrej and the woman conduct a kind of intuitive diplomacy, brokering a delicate entente between the groups they represent.
These cultural institutions have been engaged in a kind of intuitive risk analysis, and have assumed (correctly) that their risks are low.
The idea of the skills gap makes a kind of intuitive sense — think of all those unemployed construction workers presumably ill equipped to do anything else.
But what makes them interesting as movies is that they work on a kind of intuitive visual level, much like a painter works".
By insisting on the criteria of a present object for any kind of intuitive knowledge, Wodeham denies that an intuition of a non-extant, non-present object is possible.
Most outsider artists are self-taught, and Outsider Art itself is often driven by a kind of unruly intuitive verve – call it madness of a kind if you like (not all the great Outsider artists suffered from psychiatric disorders, but many of them did).
The MRES promises a kind of completely intuitive system, designed to run based solely on cues issued by the operator using standard, spoken sentences.
Without a test for absurdity apart from a certain kind of intuitive unacceptability to native speakers, we seem to be left without a means of declaring 'Saturday is in bed' to be a category violation but 'The seat of the bed is hard' not to be.
In the movie, that distinction is far less clear; Charles Wallace has only a vague kind of intuitive gift, and merely comes off a bit charmingly odd.
