In this chapter we consider the theories of embodied cognition and extended mind with respect to the human ability to engage in numerical cognition. Such an enquiry requires first distinguishing between our innate number sense and the sort of numerical reasoning that is unique to humans. We provide anthropological and linguistic research to defend the thesis that places the body at the center of our development of numerical reasoning. We then draw on archaeological research to suggest a rough date for (...) when ancient humans first were able to represent numerical information beyond the body and in enduring material artifacts. We conclude by briefly describing how these capacities for embodied and extended numerical cognition shaped our world. (shrink)

Communication in archaeological artifacts is usually understood in terms of signs or signals, fleshed out under many guises. The notions of signs or signals that archaeologists employ often draw from Saussurean or Peircean semiotic theories from philosophy and linguistics. In this article I consider the consequences of whether we understand archaeological signals in terms of the Saussurean or Peircean framework, and highlight the fact that archaeologists have not always been precise in their use of relevant philosophical machinery. I will argue (...) further that interpretation of archaeological artifacts should be supplemented by a notion of meaning that goes beyond signals and leads us to understand meaning in terms of a specific creator’s communicative intention—which may deviate from how some signal was ordinarily used. This is what I call speaker meaning, drawing from philosophy of language. I then present specific examples from Egypt circa 1300 BC and 3500 BC and from France circa 12,000 BC that I argue are best treated with the proposed notion of speaker meaning. In the course of this discussion I consider questions that arise for current accounts of signals and metaphor in archaeology. Finally, I conclude by considering how my proposal relates to our understanding of decoration and style, humor, the advent of spoken language, and the nature of art. (shrink)

Steven Pinker proposes a game-theoretic framework to help explain the use of veiled speech in contexts where the ultimate aims of the speaker and hearer may diverge—such as cases of bribing a police officer to get out of a ticket and paying a maître d’ to get a table. This is presented as a response to what Pinker sees as the failure in H. P. Grice’s influential theory of meaning to recognize that speakers and hearers are not always cooperating. In (...) this paper I argue that Pinker mischaracterizes Grice’s views on cooperation, and use this to refine a positive picture of what sort of cooperation is demanded by Grice’s Cooperative Principle. This positive picture serves to insulate the Gricean framework from objectors—including Pinker—who overstate the obligations entailed by the adoption of the Cooperative Principle. I then argue that the cases Pinker presents are best treated by recognizing that in each instance the utterance is formulated with two intentions towards two different audiences and detail a resulting revision to Pinker’s game-theoretic framework that reflects this proposal. I conclude by demonstrating how this proposed game-theoretic framework of cooperation with multiple audiences can be used to model the costs and benefits of other types of discourse, including political speech. (shrink)

In An Introduction to Non-Classical Logic: From If to Is Graham Priest presents branching rules in Free Logic, Variable Domain Modal Logic, and Intuitionist Logic. I propose a simpler, non-branching rule to replace Priest's rule for universal instantiation in Free Logic, a second, slightly modified version of this rule to replace Priest's rule for universal instantiation in Variable Domain Modal Logic, and third and fourth rules, further modifying the second rule, to replace Priest's branching universal and particular instantiation rules in (...) Intuitionist Logic. In each of these logics the proposed rule leads to tableaux with fewer branches. In Intuitionist logic, the proposed rules allow for the resolution of a particular problem Priest is grappling with throughout the chapter. In this paper, I demonstrate that the proposed rules can greatly simplify tableaux and argue that they should be used in place of the rules given by Priest. (shrink)

In recent work Sperber and Wilson expand on ideas initially presented in Relevance (1986) and flesh out continuua between showing and meaning, and determinate and indeterminate content. Drawing on Sperber and Wilson’s work, and at points defending it from what I see as potential objections, I present a Schema of Communicative Acts (SCA) that includes an additional third continuum between linguistic and non-linguistic content. The SCA clears the way for consideration of what exactly is meant by showing, the motivations of (...) speakers, how affect impacts expression, and metaphor. The SCA allows us to consider not only how but why we engage in certain forms of communicative behavior, and captures the incredible nuance of human interactions: said and meant, linguistic and non-linguistic, determinate and indeterminate. (shrink)