I have never heard of this intrinsic value before until I come across this page on MDN.
From what I know intrinsic means
It looks like the intrinsic value is part of the newer CSS3 sizing module:
http://dev.w3.org/csswg/css-sizing/
I have not used it yet but perhaps the reference will provide you with more information.
Based on a quick review, this module would make it easier to specify how content fills the width and height of a parent containing block.
At the moment, JavaScript functions are often used to compute widths and heights of container blocks based on % values for variable child elements content.