As far as I know, “intellectual gymnastics” is used in a negative sense. For example, the discipline of philosophy can be belittled as “intellectual gymnastics”.
However, a university in Japan seems to be advertising one of their new academic programs by using the term in a positive sense as follows:
Advanced Education in the Liberal Arts -- Intellectual Gymnastics
Is this simply an incorrect use because of connotation? Or is there maybe some other connotation of the term that is positive?