This paper consider Prior's connective Tonk from a particular bilateralist perspective. I show that there is a natural perspective from which we can see Tonk and its ilk as perfectly well-defined pieces of vocabulary; there is no need for restrictions to bar things like Tonk.

Inferentialism claims that expressions are meaningful by virtue of rules governing their use. In particular, logical expressions are autonomous if given meaning by their introduction-rules, rules specifying the grounds for assertion of propositions containing them. If the elimination-rules do no more, and no less, than is justified by the introduction-rules, the rules satisfy what Prawitz, following Lorenzen, called an inversion principle. This connection between rules leads to a general form of elimination-rule, and when the rules have this form, they may (...) be said to exhibit “general-elimination” harmony. Ge-harmony ensures that the meaning of a logical expression is clearly visible in its I-rule, and that the I- and E-rules are coherent, in encapsulating the same meaning. However, it does not ensure that the resulting logical system is normalizable, nor that it satisfies the conservative extension property, nor that it is consistent. Thus harmony should not be identified with any of these notions. (shrink)

We now move to the demonstration of the left-to-right direction of the equivalence result. Let us assume that there is a winning $$\mathbf {P}$$ P -strategy in the dialogical game for $$\varphi $$ φ.

According to a main idea of Gentzen the meanings of the logical constants are reflected by the introduction rules in his system of natural deduction. This idea is here understood as saying roughly that a closed argument ending with an introduction is valid provided that its immediate subarguments are valid and that other closed arguments are justified to the extent that they can be brought to introduction form. One main part of the paper is devoted to the exact development of (...) this notion. Another main part of the paper is concerned with a modification of this notion as it occurs in Michael Dummett’s book The Logical Basis of Metaphysics. The two notions are compared and there is a discussion of how they fare as a foundation for a theory of meaning. It is noted that Dummett’s notion has a simpler structure, but it is argued that it is less appropriate for the foundation of a theory of meaning, because the possession of a valid argument for a sentence in Dummett’s sense is not enough to be warranted to assert the sentence. (shrink)

The aim of this paper is to reconsider several proposals that have been put forward in order to develop a Proof-Theoretical Semantics, from the by now classical neo-verificationist approach provided by D. Prawitz and M. Dummett in the Seventies, to an alternative, more recent approach mainly due to the work of P. Schroeder-Heister and L. Hallnäs, based on clausal definitions. Some other intermediate proposals are very briefly sketched. Particular attention will be given to the role played by the so-called Fundamental (...) Assumption. We claim that whereas, in the neo-verificationist proposal, the condition expressed by that Assumption is necessary to ensure the completeness of the justification procedure ( from the outside , so to speak), within the definitional framework it is a built-in feature of the proposal. The latter approach, therefore, appears as an alternative solution to the problem which prompted the neo-verificationists to introduce the Fundamental Assumption. (shrink)

This is a commentary on MM McCabe's "First Chop your logos... Socrates and the sophists on language, logic, and development". In her paper MM analyses Plato's Euthydemos, in which Plato tackles the problem of falsity in a way that takes into account the speaker and complements the Sophist's discussion of what is said. The dialogue looks as if it is merely a demonstration of the silly consequences of eristic combat. And so it is. But a main point of MM's paper (...) is that there is serious philosophy in the Euthydemos, too. MM argues that to counter the sophist brothers Euthydemos and Dionysodoros, Socrates points out that that there are different aspects to the verb 'to say' that run in parallel to the different aspects of the very 'to learn'. So just as there is continuity rather than ambiguity between 'to learn' and 'to understand', so there is continuity between the different aspects of saying. Thus Socrates puts forward a teleological account of both learning and meaning. Following up on some of MM's thoughts, I argue that the sophists subscribe, despite appearance, to a theory of meaning that respects serious and widely accepted philosophical theses on meaning. -/- Forthcoming in the Australasian Philosophical Review. The curator of the volume is Fiona Leigh, and the committee also has Hugh Benson and Tim Clarke. You can find MM's paper as well as the commentaries by Nicholas Denyer and Russell E. Jones and Ravi Sharma (and myself) by registering. (shrink)

I argue that the implementation of theDummettian program of an ``anti-realist'' semanticsrequires quite different conceptions of the technicalmeaning-theoretic terms used than those presupposed byDummett. Starting from obvious incoherences in anattempt to conceive truth conditions as assertibilityconditions, I argue that for anti-realist purposesnon-epistemic semantic notions are more usefully kept apart from epistemic ones rather than beingreduced to them. Embedding an anti-realist theory ofmeaning in Martin-Löf's Intuitionistic Type Theory(ITT) takes care, however, of many notorious problemsthat have arisen in trying to specify suitableintuitionistic (...) notions of semantic value,truth-conditions, and validity, taking into accountthe so-called ``defeasibility of evidence'' forassertions in empirical discourses. (shrink)

The paper considers a version of the problem of linguistic creativity obtained by interpreting attributions of ordinary semantic knowledge as attributions of practical competencies with expressions. The paper explains how to cope with this version of the problem without invoking either compositional theories of meaning or the notion of `tacit knowledge' (of such theories) that has led to unnecessary puzzlement. The central idea is to show that the core assumption used to raise the problem is false. To render precise argument (...) possible, the paper first identifies and removes some relevant semantic indeterminacy in philosophical talk of `semantic knowledge' and `information'. This yields rules for attributing the two to human speakers and information-processors, respectively. The paper then shows, first, that ordinary speakers qualify as possessing all along an other than finite and definite stock of semantic knowledge and, second, that a very simple information-processor running a procedural semantics qualifies as possessing an analogous stock of semantic information. The second result is used to bring out that the first is neither unduly impressive nor particularly puzzling. (shrink)

An underpinning assumption of modern legal positivism is that the question of how legal standards differ from normative standards in other spheres of human thought is resolved via the concept of a legal system and the notion of internal logic, through use of contextual definition. This approach is seen to lead to an untenable form of structuralism altogether at odds with the positivist's intentions. An alternative strategy is offered which allows the positivists to retain their deepest insights, though at a (...) price. (shrink)

Truth is one of the central subjects in philosophy. It is also one of the largest. Truth has been a topic of discussion in its own right for thousands of years. Moreover, a huge variety of issues in philosophy relate to truth, either by relying on theses about truth, or implying theses about truth.

The rejection of behaviorism in the 1950s and 1960s led to the view, due mainly to Noam Chomsky, that language must be studied by looking at the mind and not just at behavior. It is an understatement to say that Chomskyan linguistics dominates the field. Despite being the overwhelming majority view, it has not gone unchallenged, and the challenges have focused on different aspects of the theory. What is almost universally accepted, however, is Chomsky’s view that understanding language demands a (...) theory that posits mental states that represent rules of language. Call this claim, following Cowie (1999), Representationalism or (R). According to (R), ‘‘[e]xplaining language mastery and acquisition requires the postulation of contentful mental states and processes involving their manipulation’’ (Cowie, 1999, p. 154). Although (R) is nothing more than the general assumption on which cognitive psychology is founded applied to the case of language, even it has had its detractors. Critics have argued that linguistic competence should not in fact be thought of as based on the possession of a body of linguistic knowledge but should be thought of, rather, as a kind of skill. This is an important challenge because one might be inclined to think that no recognizable form of Chomskyan linguistics could withstand the falsification of (R). In this paper we attempt to show that in fact (R) could be false without doing much damage to Chomskyan linguistics at all. Indeed, it is possible that the Chomskyan position could be made more coherent by adopting the view we will sketch. Our claim, therefore, is that critics of (R) might be right, but that this does not obviously make them serious critics of the Chomskyan program. (shrink)

Thinking and using a language are two different but similar activities. Thinking about thinking and thinking about language use have been two major strands in the history of philosophy. One of the principal similarities is that they are both rational activities. As a result, the ability to think and the ability to use a language require being able to recognise and respond to reasons. However, there is a further feature of these activities: we humans are able to have explicit knowledge (...) of how those activities work and what is done by performances in those activities. Thus, theorists face at least two constraints: 1. An account of a rational activity must be compatible with the possibility of agents engaging in that activity. 2. Having described an activity, it must be possible to have knowledge of an activity which is correctly described like that. There are a variety of accounts of how thinking works and how using a language works, and further variation in accounts of what is involved in explicit understanding of particular performances. These accounts can be distinguished by their views of the nature of the reasons that govern performances in that activity and by their views of the way a description of the activity relates to the way the activity proceeds. I argue that any description of thinking or language use requires showing how the truth conditions of thoughts/sentences are determined, and how the truth values of thoughts/sentences affects the way the activity proceeds. I then argue that in order to have explicit knowledge of what we do, truth has to be a substantial evaluative property of uses of language, and furthermore a truth conditional theory of meaning has to be taken as the description of the rationality of using a language. The big result is that, because in understanding language we understand truth, the philosophy of language is first philosophy. (shrink)

In British and American anthropological literature, the ethnology of Central and Eastern European countries has shared in the plight of descriptions of this part of the world: it was seen as exotic, foreign, remote, a backwater, focused on sideline problems and situated on the periphery of this field of science. This state of affairs has been the case since at least the beginning of the Cold War as the descriptions of the national characters of Eastern Bloc communities, drafted by American (...) scholars. The ethnography of these countries was automatically aligned with the same categories of description which were applied to the characteristics of these communities. This was, in part, an effect of entirely different research traditions in the subject matter, objectives and methods of these remote parts of the science. The differences of ’cultural wholes’ did have a decisive impact on the image of ethnology. Like all these communities, Polish ethnology was perceived as a homogeneous whole, which it never was. (shrink)

Recent literature on dialogical logic discusses the case of tonk and the notion harmony in the context of a rule-based theory of meaning. Now, since the publications of those papers, a dialogical version of constructive type theory has been developed. The aim of the present paper is to show that, from the dialogical point of view, the harmony of the CTT-rules is the consequence of a more fundamental level of meaning characterized by the independence of players. We hope that the (...) following paper will contribute to a better understanding of the dialogical notion of meaning. (shrink)