Intellect - cold, unemotional, rational, logical
Spirit - emotional, non-rational, warm, illogical
Rather than being an 'either/or' the elements of intellect and spirit should be viewed as being totally coexisting within humans. Similar to the use of foot and hand; these are not 'either/or' but two separate parts of the human body with different purposes.
In similar way the discussions of intellect and spirit ignore the fact that both are part of the package. They are in essence two sides of the same coin.