This article surveys attempts by aestheticians writing in the Anglo-American analytic tradition during the last half of the twentieth century to clarify, defend, and use the idea of a distinctively aesthetic state of mind. Their ambitions typically include most or all of the following: giving an account of what distinguishes the aesthetic state of mind from other states of mind that are like it in some ways, such as sensual pleasure or drug-induced experience, or from those connected with other realms of human concern, such as the religious, the cognitive, the practical, and the moral; giving that account in a way that appeals neither to any prior idea of the aesthetic nor to the concept of art; explaining related ideas of the distinctively aesthetic, e.g. the ideas of aesthetic properties, qualities, aspects, or concepts, of the aesthetic object, of the aesthetic judgement, and of aesthetic value, in terms of the idea of the distinctively aesthetic state of mind; and defending some more or less close connection between the realm of the aesthetic thereby explained and the realm of art, while recognizing that the aesthetic state of mind may appropriately be directed towards or grounded in non-art (e.g. nature) as well.