Final answer:
The additional premise that leads to a logical conclusion in aesthetic analysis could potentially be that only an artwork's intrinsic properties are pertinent to our aesthetic interactions with it.
Step-by-step explanation:
The question posed is concerned with identifying an additional premise that when combined with the existing premises, would lead to a logically valid conclusion concerning the properties of an artwork and how they are related to our aesthetic interactions with it. This topic touches upon concepts like aesthetic analysis, the significance of an artwork as a cultural artifact, and theories of value such as intrinsic and extrinsic properties.
Given the provided information, we learn that artworks can be analyzed aesthetically by examining various properties, some of which are intrinsic—pertaining to the work itself—while others are extrinsic—tied to the work's relationships and broader contexts. The addition of the premise that only an artwork's intrinsic properties are relevant to our aesthetic interactions with it (premise 3) could lead to a conclusion consistent with the observations noted by art historians and philosophers.