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I assume that the humanities and art are not separate fields but one single field. This field appears distinct from the science field. Since I assume art and humanities as one field, researching art and science implies the humanities and science relationship.
One can say that a field is «an area of activity or interest»[note 1]. However, a field is also «an area of land, used for growing crops or keeping animals, usually surrounded by a fence»[note 2]. Within the frame of art, humanities and science, it is a matter of division of knowledge.
On a factual level, this division affects educational institutions, suggesting a way to shape courses of study.
From a critical point of view, it appears to drive political consequences. For instance, according to Ben Mulvey, humanities are essential for democracy[note 3]. On the other side, Judith Butler claims that humanities have the power to call into question the "hegemony of neoliberalism"[note 4].