The purpose of statues in public spaces has recently become a matter of controversy. Using a 1937 quotation from the artist Paul Nash and the surrealist leader André Breton, this paper explores the circumstances in which a statue is read as appropriately – ‘in its right mind’ in their terms – situated in public space. In doing so, it draws primarily on examples from Britain, Europe and North America during the rapid expansion in the number of statues in public space from the eighteenth century onwards. The rightmindedness of a statue is shown as primarily determined not by the subject of the statue itself, or by its reception among the public, but by ways in which public authorities and local elites authorise the use of public space. Yet these authorities’ understanding of the fit between a statue and public space can vary over time. Shifts in the political context often prompt changes to where statues are seen as appropriately located. However, picking up on Nash/Breton's phrase, to place a statue in ‘a state of surrealism’ involves more than mere relocation. This is shown to require additional disruption to a statue's artistic language and/or spatial syntax.