Research into visual reasoning up to now has focused on images that are literal depictions of their objects. I argue in this article that an important further mode of visual reasoning operates on images that depict objects metaphorically. Such images form part of the class of expressive symbols: they are found, for example, in allegorical representations in works of visual art, studied by iconology. They were also a common way of encapsulating insights about the universe in natural philosophy in the Renaissance. Many writers assume that expressive symbols have vanished from modern science, but I argue in the second part of the article that mathematical law statements in present-day physics should be seen, in part, as images that constitute expressive symbols of the world. In support of this view, I offer evidence that law statements relate to their objects metaphorically and that physicists engage with them primarily through visual inspection and visual reasoning.
REASONING WITH VISUAL METAPHORS 2 1 Visual reasoning with literal depictionsThis article has two aims. The first is to broaden the scope of discussions of visual reasoning by arguing that visual reasoning operates on a larger class of images than hitherto acknowledged. Whereas discussions of visual reasoning have so far focused on images taken to be literal depictions of the objects of the reasoning, I will seek to extend the domain to cover images that constitute-for want of a better word at this stage-metaphorical depictions of objects. I will proceed partly by bringing into contact bodies of literature that are usually kept apart. The second aim, to which I will turn in section 4, is to argue that this account applies also to law statements in present-day sciences such as physics. I will argue both that law statements partly constitute metaphorical depictions of their objects, and that physicists achieve understanding of them mainly by visual inspection and visual reasoning.