Full textRead freeBlue print
Dick, Stephanie. AfterMath: The Work of Proof in the Age of Human–Machine Collaboration
2011, Isis, 102(3): 494-505.
Expand entry
Added by: Fenner Stanley Tanswell
Abstract: During the 1970s and 1980s, a team of Automated Theorem Proving researchers at the Argonne National Laboratory near Chicago developed the Automated Reasoning Assistant, or AURA, to assist human users in the search for mathematical proofs. The resulting hybrid humans+AURA system developed the capacity to make novel contributions to pure mathematics by very untraditional means. This essay traces how these unconventional contributions were made and made possible through negotiations between the humans and the AURA at Argonne and the transformation in mathematical intuition they produced. At play in these negotiations were experimental practices, nonhumans, and nonmathematical modes of knowing. This story invites an earnest engagement between historians of mathematics and scholars in the history of science and science studies interested in experimental practice, material culture, and the roles of nonhumans in knowledge making.
Comment (from this Blueprint): Dick traces the history of the AURA automated reasoning assistant in the 1970s and 80s, arguing that the introduction of the computer system led to novel contributions to mathematics by unconventional means. Dick’s emphasis is on the AURA system as changing the material culture of mathematics, and thereby leading to collaboration and even negotiations between the mathematicians and the computer system.
Full text
Saul, Jennifer M.. What is said and psychological reality; Grice’s project and relevance theorists’ criticisms
2002, Linguistics and Philosophy 25 (3):347-372.
Expand entry
Added by: Chris Blake-Turner, Contributed by: Thomas Hodgson
Abstract: One of the most important aspects of Grice's theory of conversation is the drawing of a borderline between what is said and what is implicated. Grice's views concerning this borderline have been strongly and influentially criticised by relevance theorists. In particular, it has become increasingly widely accepted that Grice's notion of what is said is too limited, and that pragmatics has a far larger role to play in determining what is said than Grice would have allowed. (See for example Bezuidenhuit 1996; Blakemore 1987; Carston 1991; Recanati 1991, 1993, 2001; Sperber and Wilson 1986; Wilson and Sperber 1981.) In this paper, I argue that the rejection of Grice has moved too swiftly, as a key line of objection which has led to this rejection is flawed. The flaw, we will see, is that relevance theorists rely on a misunderstanding of Grice's project in his theory of conversation. I am not arguing that Grice's versions of saying and implicating are right in all details, but simply that certain widespread reasons for rejecting his theory are based on misconceptions.1Relevance theorists, I will suggest, systematically misunderstand Grice by taking him to be engaged in the same project that they are: making sense of the psychological processes by which we interpret utterances. Notions involved with this project will need to be ones that are relevant to the psychology of utterance interpretation. Thus, it is only reasonable that relevance theorists will require that what is said and what is implicated should be psychologically real to the audience. (We will see that this requirement plays a crucial role in their arguments against Grice.) Grice, I will argue, was not pursuing this project. Rather, I will suggest that he was trying to make sense of quite a different notion of what is said: one on which both speaker and audience may be wrong about what is said. On this sort of notion, psychological reality is not a requirement. So objections to Grice based on a requirement of psychological reality will fail. Once Grice's project and that of relevance theorists are seen as distinct, it will be clear that they can happily coexist.2They are simply discussing different subject matters. One may start to wonder, however, about who is really discussing what is said, a topic that both camps claim. I will not attempt a conclusive answer to this question. But I will suggest that Grice's view, despite certain shortcomings, has advantages which seem all too often to have gone unnoticed.
Comment: It would make sense to read Grice before engaging with modern reception of his work
Can’t find it?
Contribute the texts you think should be here and we’ll add them soon!