Journalistic narrative prose is rich in suggestion. By voicing a single narrative ("X happened") statement in a supposedly non-fiction context, sender invites receiver to impute intelligibility, ascertainability, feasibility, topicality and speaker sincerity, as well as veracity, to the terms of an account. Conversely, when a narrative statement passes through a 'news-giving' medium, receivers are deterred from appraising those invited inferences. Similar inducements come from pseudonarrative statements. Meanwhile, some narratives convey other suggestions. Without being explicit they invite extra-logical inferences about event (...) locations, agent numbers, chronologies, relative importance, and determinants, as well as current practicabilities. Awareness of such suggestions is the first step toward distinguishing between prudent and foolhardy inferences. (shrink)

The implicit dimension of enthymemes is investigated from a pragmatic perspective to show why a premise can be left unexpressed, and how it can be used strategically. The relationship between the implicit act of taking for granted and the pattern of presumptive reasoning is shown to be the cornerstone of kairos and the fallacy of straw man. By taking a proposition for granted, the speaker shifts the burden of proving its un-acceptability onto the hearer. The resemblance of the tacit premise (...) with what is commonly acceptable or has been actually stated can be used as a rhetorical strategy. (shrink)

This paper addresses the question of whether the preverbal even (VP-even) embedded in a nonfinite clause can take wide scope (e.g., Bill refused to even drink WATER). The paper presents novel evidence for wide scope VP-even that is independent of the presuppositions of even. The evidence is based on examples of antecedent-contained deletion (ACD), where embedded VP-even associates with a nominal constituent (or part of it) that raises out of the embedded clause via quantifier raising. Assuming that even must c-command (...) the focus that it associates with, the case at issue forces VP-even to have wide scope, and further shows that VP-even in NPI-licensing contexts is not necessarily an NPI. (shrink)

We discuss presupposition, the phenomenon whereby speakers mark linguistically the information that is presupposed or taken for granted, rather than being part of the main propositional content of a speech act. Expressions and constructions carrying presuppositions are called “presupposition triggers”, forming a large class including definites and factive verbs. The article first introduces the range of triggers, the basic properties of presuppositions such as projection and cancellability, and the diagnostic tests used to identify them. The reader is then introducedto major (...) models of presupposition from the last 50 years, separated into three classes: Frege-Strawson derived semantic models, pragmaticmodels such as that offered by Stalnaker, and dynamic models. Finallywe discuss some of the main current issues in presupposition theory. These involve accommodation, which occurs when a hearer's knowledge state is adjusted to meet the speaker's presuppositions; presupposition failure, which occurs when a presupposition is false; the interaction between presuppositions and attitudes; and the triggering problem, i.e., the problem of explaining why presuppositions occur in the first place. (shrink)

Philosophers and linguists alike tend to call a semantic theory ‘Russellian’ just in case it assigns to sentences in which definite descriptions occur the truth-conditions Russell did in ‘On Denoting’. This is unfortunate; not all aspects of those particular truth-conditions do explanatory work in Russell's writings. As far as the semantics of descriptions is concerned, the key insights of ‘On Denoting’ are that definite descriptions are not uniformly referring expressions, and that they are scope-bearing elements. Anyone who accepts these two (...) claims can account for Russell's puzzle cases the way he did. Russell had no substantive argument for the claim that ‘The F is G’ entails ‘There is at most one F’; in fact, he had important misgivings about it. I outline an argument against this claim, and I argue that by holding on to uniqueness contemporary semanticists make a momentous mistake: they keep the illusion alive that there is a way to account for linguistic meaning without addressing what linguistic expressions are for. (shrink)

Unsurprisingly, the negation of sentence (1), shown in (3), does not share this entailment. Neither does the yes/no question formed from this sentence. Similarly, if we add a possibility modal to the sentence, or construct a conditional of which (1) is the antecedent, the resulting sentences do not share the entailment of the original, as we see from the examples below.

The work of the late Paul Grice (1913–1988) exerts a powerful influence on the way philosophers, linguists, and cognitive scientists think about meaning and communication. With respect to a particular sentence φ and an “utterer” U, Grice stressed the philosophical importance of separating (i) what φ means, (ii) what U said on a given occasion by uttering φ, and (iii) what U meant by uttering φ on that occasion. Second, he provided systematic attempts to say precisely what meaning is by (...) providing a series of more refined analyses of utterer’s meaning, sentence meaning, and what is said. Third, Grice produced an account of how it is possible for what U says and what U means to diverge. Fourth, by characterizing a philosophically important distinction between the “genuinely semantic” and “merely pragmatic” implications of a statement, Grice clarified the relationship between classical logic and the semantics of natural language. Fifth, he provided some much needed philosophical ventilation by deploying his notion of “implicature” to devastating effect against certain overzealous strains of “Ordinary Language Philosophy,” without himself abandoning the view that philosophy must pay attention to the nuances of ordinary talk. Sixth, Grice undercut some of the most influential arguments for a philosophically significant notion of “presupposition.” Today, Grice’s work lies at the center of research on the semantics-pragmatics distinction and shapes much discussion of the relationship between language and mind. In a nutshell, Grice has forced philosophers and linguists to think very carefully about the sorts of facts a semantic theory is supposed to account for and to reflect upon the most central theoretical notions, notions that otherwise might be taken for granted or employed without due care and attention. To be sure, Grice’s own positive proposals have their weaknesses; but in the light of his work any theory of meaning that is to be taken at all seriously must now draw a sharp line between genuinely semantic facts and facts pertaining to the nature of human interaction.. (shrink)

A number of authors in favor of a unitary account of singular descriptions have alleged that the unitary account can be extrapolated to account for plural definite descriptions. In this paper I take a closer look at this suggestion. I argue that while the unitary account is clearly onto something right, it is in the end empirically inadequate. At the end of the paper I offer a new partitive account of plural definite descriptions that avoids the problems with both the (...) unitary account and standard Russellian analyses. (shrink)

Presuppositions are at the same time a crucial and almost neglected dimension of arguments and fallacies. Arguments involve different types of presuppositions, which can be used for manipulative purposes in distinct ways. However, what are presuppositions? What is their dialectical function? Why and how can they be dangerous? This paper intends to address these questions by developing the pragmatic approaches to presupposition from a dialectical perspective. The use of presuppositions will be analyzed in terms of presumptive conclusions concerning the interlocutor’s (...) acceptance of a proposition, which can be assessed as reasonable or unacceptable. Their dialectical function is described in terms of dark side commitments attributed to a collective "voice" representing what is commonly shared. For this reason, they count as attempts to include the presupposed contents into the hearer’s commitment store, which in some circumstances can reverse the burden of proof. The different manipulative strategies grounded on controversial presuppositions will be examined by showing the distinct roles that the latter play and the relationship between the degrees of presuppositional implicitness and the speaker’s burden of retraction. (shrink)

Presuppositions are pragmatically considered as the conditions of the felicity of a speech act, or discourse move; however, the decision of setting the conditions of a move, which the hearer needs to accept in order to continue the dialogue, can be thought of as a speech act of a kind. The act of presupposing depends on specific conditions and in particular on the possibility of the hearer to reconstruct and accept the propositional content. These pragmatic conditions lead to epistemic considerations: (...) How can the speaker know that the hearer can reconstruct and accept a presupposition? A possible answer can be found in an argumentative approach grounded on the notion of presumptive reasoning. On this perspective, by presupposing the speaker advances a tentative conclusion about what the hearer may accept, hold, or know proceeding from factual, linguistic, and epistemic rules of presumption. (shrink)

Pragmatic presupposition is analyzed in this paper as grounded on an implicit reasoning process based on a set of presumptions, which can define cultural differences. The basic condition for making a presupposition can be represented as a reasoning criterion, namely reasonableness. Presuppositions, on this view, need to be reasonable, namely as the conclusion of an underlying presumptive reasoning that does not or may not contain contradictions with other presumptions, including the ordering of the hierarchy of presumptions. Presumptions are in turn (...) analyzed considering their nature and their hierarchy, namely their object and their possible contextual backing, which eliminates some of their possible defaults. This analysis of presupposition brings to light the relationship between communicative infelicities or misunderstandings deriving from presuppositional failures and the underlying system of presumptions and presumptive reasoning. This approach can be applied to the investigation of communicative problems within the medical context, and more precisely the communication in diabetes cases. (shrink)

The purpose of this paper is to show how micro-argumentation mechanisms of presumptive reasoning and reasoning from best explanation can be used for explaining some cases of presupposition cancellation. It will be shown how the relationship between presupposition triggers and pragmatic presuppositions can be analyzed in terms of presumptive and non-presumptive polyphonic articulation of an utterance, resulting in different types of commitments for the interlocutors. This approach is grounded on the two interconnected notions of presumptions and commitments. In some complex (...) cases of presupposition “suspension,” the speaker presumes the hearer’s acceptance of and commitment to propositions that cannot be presumed as such, namely that do not belong to the common ground, or that have been explicitly rejected as being commonly shared. This phenomenon triggers a complex type of reasoning that can be represented as an abductive pattern, grounded on hierarchies of presumptions and aimed at providing an interpretation that solves this conflict of presumptions. Several cases of suspension of presupposition will be investigated as resulting from non-presumptive polyphonic articulations, in which different voices responsible for distinct commitments are distinguished. By indirectly reporting an element of discourse, the speaker can refuse to take responsibility for the presupposed proposition, and correct the commitments that may result for him. This polyphonic treatment of utterances shows how and why a presupposition is suspended, and identifies the conflicting presumptions that can be further solved through reasoning from best explanation. This reasoning can result in a different reconstruction of the developed logical form of utterance or of its illocutionary force. (shrink)

PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...) all booksellers, including Barnes & Noble, Amazon, and brick-and-mortar bookstores under ISBN 978-0-578-88646-6. ●●●●● In light of the length of this book, readers who would like to have a more detailed description of the book's objectives and method may find it helpful to read the detailed and clearly written Wikipedia entry about this work: From the Wikipedia search page, use the search phrase "Critique of Impure Reason". At least at the time of this writing (11/29/2021), the Wikipedia entry is well-researched and accurate. ●●●●● In addition, a "Primer on Bartlett's CRITIQUE OF IMPURE REASON" has been made available by the author. It is available under its title through PhilPapers and other philosophy online archives. ●●●●● COMMENDATIONS OF THIS WORK, from the back cover of the published edition: ●●●●● “I admire its range of philosophical vision.” – Nicholas Rescher, Distinguished University Professor of Philosophy, University of Pittsburgh, author of more than 100 books. ●●●●● “Bartlett’s _Critique of Impure Reason_ is an impressive, bold, and ambitious work. Careful scholarship is balanced by original analyses that lead the reader to recognize the limits of meaning, knowledge, and conceptual possibility. The work addresses a host of traditional philosophical problems, among them the nature of space, time, causality, consciousness, the self, other minds, ontology, free will and determinism, and others. The book culminates in a fascinating and profound new understanding of relativity physics and quantum theory.” – Gerhard Preyer, Professor of Philosophy, Goethe-University, Frankfurt am Main, Germany, author of many books including _Concepts of Meaning_, _Beyond Semantics and Pragmatics_, _Intention and Practical Thought_, and _Contextualism in Philosophy_. ●●●●● “[This work’s] goal is of a unique and difficult species: Dr. Bartlett seeks to develop a formal logical calculus on the basis of transcendental philosophical arguments; in fact, he hopes that this calculus will be the formal expression of the transcendental foundation of knowledge.... I consider Dr. Bartlett’s work soundly conceived and executed with great skill.” – C. F. von Weizsäcker, philosopher and physicist, former Director, Max-Planck-Institute, Starnberg, Germany. ●●●●● “Bartlett has written an American “Prolegomena to All Future Metaphysics.” He aims rigorously to eliminate meaningless assertions, reach bedrock, and place philosophy on a firm foundation that will enable it, like science and mathematics, to produce lasting results that generations to come can build on. This is a great book, the fruit of a lifetime of research and reflection, and it deserves serious attention.” — Martin X. Moleski, former Professor, Canisius College, Buffalo, NY, studies of scientific method, the presuppositions of thought, and the self-referential nature of epistemology. ●●●●● “Bartlett has written a book on what might be called the underpinnings of philosophy. It has fascinating depth and breadth, and is all the more striking due to its unifying perspective based on the concepts of reference and self-reference.” – Don Perlis, Professor of Computer Science, University of Maryland, author of numerous publications on self-adjusting autonomous systems and philosophical issues concerning self-reference, mind, and consciousness. ●●●●● ●●●●● The _Critique of Impure Reason: Horizons of Possibility and Meaning_ comprises a major and important contribution to philosophy. Thanks to the generosity of its publisher, this massive 885-page volume has been published as a free open access eBook (3.75MB) as well as an open access printed edition. It inaugurates a revolutionary paradigm shift in philosophical thought by providing compelling and long-sought-for solutions to a wide range of philosophical problems. In the process, the work fundamentally transforms the way in which the concepts of reference, meaning, and possibility are understood. The book includes a Foreword by the celebrated German philosopher and physicist Carl Friedrich von Weizsäcker. ●●●●● In Kant’s _Critique of Pure Reason_ we find an analysis of the preconditions of experience and of knowledge. In contrast, but yet in parallel, the new _Critique_ focuses upon the ways—unfortunately very widespread and often unselfconsciously habitual—in which many of the concepts that we employ _conflict_ with the very preconditions of meaning and of knowledge. ●●●●● This is a book about the boundaries of frameworks and about the unrecognized conceptual confusions in which we become entangled when we attempt to transgress beyond the limits of the possible and meaningful. We tend either not to recognize or not to accept that we all-too-often attempt to trespass beyond the boundaries of the frameworks that make knowledge possible and the world meaningful. ●●●●● The _Critique of Impure Reason_ proposes a bold, ground-breaking, and startling thesis: that a great many of the major philosophical problems of the past can be solved through the recognition of a viciously deceptive form of thinking to which philosophers as well as non-philosophers commonly fall victim. For the first time, the book advances and justifies the criticism that a substantial number of the questions that have occupied philosophers fall into the category of “impure reason,” violating the very conditions of their possible meaningfulness. ●●●●● The purpose of the study is twofold: first, to enable us to recognize the boundaries of what is referentially forbidden—the limits beyond which reference becomes meaningless—and second, to avoid falling victims to a certain broad class of conceptual confusions that lie at the heart of many major philosophical problems. As a consequence, the boundaries of _possible meaning_ are determined. ●●●●● Bartlett, the author or editor of more than 20 books, is responsible for identifying this widespread and delusion-inducing variety of error, _metalogical projection_. It is a previously unrecognized and insidious form of erroneous thinking that undermines its own possibility of meaning. It comes about as a result of the pervasive human compulsion to seek to transcend the limits of possible reference and meaning. ●●●●● Based on original research and rigorous analysis combined with extensive scholarship, the _Critique of Impure Reason_ develops a self-validating method that makes it possible to recognize, correct, and eliminate this major and pervasive form of fallacious thinking. In so doing, the book provides at last provable and constructive solutions to a wide range of major philosophical problems. ●●●●● CONTENTS AT A GLANCE ▪▪▪▪▪ Preface ▪▪▪▪▪ Foreword by Carl Friedrich von Weizsäcker ▪▪▪▪▪ Acknowledgments ▪▪▪▪▪ Avant-propos: A philosopher’s rallying call ▪▪▪▪▪ Introduction ▪▪▪▪▪ A note to the reader ▪▪▪▪▪ A note on conventions ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART I ▪▪▪▪▪ ▪▪▪▪▪ WHY PHILOSOPHY HAS MADE NO PROGRESS AND HOW IT CAN ▪▪▪▪▪ 1 Philosophical-psychological prelude ▪▪▪▪▪ 2 Putting belief in its place: Its psychology and a needed polemic ▪▪▪▪▪ 3 Turning away from the linguistic turn: From theory of reference to metalogic of reference ▪▪▪▪▪ 4 The stepladder to maximum theoretical generality ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART II ▪▪▪▪▪ THE METALOGIC OF REFERENCE ▪▪▪▪▪ A New Approach to Deductive, Transcendental Philosophy ▪▪▪▪▪ 5 Reference, identity, and identification ▪▪▪▪▪ 6 Self-referential argument and the metalogic of reference ▪▪▪▪▪ 7 Possibility theory ▪▪▪▪▪ 8 Presupposition logic, reference, and identification ▪▪▪▪▪ 9 Transcendental argumentation and the metalogic of reference ▪▪▪▪▪ 10 Framework relativity ▪▪▪▪▪ 11 The metalogic of meaning ▪▪▪▪▪ 12 The problem of putative meaning and the logic of meaninglessness ▪▪▪▪▪ 13 Projection ▪▪▪▪▪ 14 Horizons ▪▪▪▪▪ 15 De-projection ▪▪▪▪▪ 16 Self-validation ▪▪▪▪▪ 17 Rationality: Rules of admissibility ▪▪▪▪▪ ▪▪▪▪▪ ▪▪▪▪▪ PART III ▪▪▪▪▪ PHILOSOPHICAL APPLICATIONS OF THE METALOGIC OF REFERENCE ▪▪▪▪▪ Major Problems and Questions of Philosophy and the Philosophy of Science ▪▪▪▪▪ 18 Ontology and the metalogic of reference ▪▪▪▪▪ 19 Discovery or invention in general problem-solving, mathematics, and physics ▪▪▪▪▪ 20 The conceptually unreachable: “The far side” ▪▪▪▪▪ 21 The projections of the external world, things-in-themselves, other minds, realism, and idealism ▪▪▪▪▪ 22 The projections of time, space, and space-time ▪▪▪▪▪ 23 The projections of causality, determinism, and free will ▪▪▪▪▪ 24 Projections of the self and of solipsism ▪▪▪▪▪ 25 Non-relational, agentless reference and referential fields ▪▪▪▪▪ 26 Relativity physics as seen through the lens of the metalogic of reference ▪▪▪▪▪ 27 Quantum theory as seen through the lens of the metalogic of reference ▪▪▪▪▪ 28 Epistemological lessons learned from and applicable to relativity physics and quantum theory ▪▪▪▪▪ ▪▪▪▪▪ PART IV ▪▪▪▪▪ HORIZONS ▪▪▪▪▪ 29 Beyond belief ▪▪▪▪▪ 30 _Critique of Impure Reason_: Its results in retrospect ▪▪▪▪▪ ▪▪▪▪▪ SUPPLEMENT ▪▪▪▪▪ The Formal Structure of the Metalogic of Reference ▪▪▪▪▪ APPENDIX I ▪▪▪▪▪ The Concept of Horizon in the Work of Other Philosophers ▪▪▪▪▪ APPENDIX II ▪▪▪▪▪ Epistemological Intelligence ▪▪▪▪▪ References ▪▪▪▪▪ Index ▪▪▪▪▪ About the author. 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The paper focuses on the difference between event‐conditionals and premise‐conditionals. An event‐conditional contributes to event structure: it modifies the main clause event; a premise‐conditional structures the discourse: it makes manifest a proposition that is the privileged context for the processing of the associated clause. The two types of conditional clauses will be shown to differ both in terms of their ‘external syntax’ and in terms of their ‘internal syntax’. The peripheral structure of event conditionals will be shown to lack the (...) functional head Force, which encodes illocutionary force. Event conditionals are merged inside the IP of the matrix clause. Premise‐conditionals contain the head Force and they are merged outside the associated CP. (shrink)

Metaphorical meaning can be analyzed as triggered by an apparent communicative breach, an incongruity that leads to a default of the presumptive interpretation of a vehicle. This breach can be solved through contextual renegotiations of meaning guided by the communicative intention, or rather the presumed purpose of the metaphorical utterance. This paper addresses the problem of analyzing the complex process of reasoning underlying the reconstruction of metaphorical meaning. This process will be described as a type of abductive argument, aimed at (...) explaining how the vehicle can best contribute to the purpose of the utterance. This type of reasoning involves the analysis of the possible predicates that can be and usually are attributed to the vehicle, and the selection of the one that can support the implicit conclusion constituting the communicative goal of the metaphorical utterance. Metaphorical meaning, in this perspective, becomes the outcome of a complex process of meaning reconstruction aimed at providing the best explanation of the function of the vehicle within a discourse move. (shrink)

Among the many peculiarities of schizophrenics perhaps the most obvious is their tendency to say odd things. Indeed, for most clinicians, the hallmark of schizophrenia is “thought disorder”. Decades of clinical observations, experimental research, and linguistic analyses have produced many hypotheses about what, precisely, is wrong with schizophrenic speech and language. These hypotheses range from assertions that schizophrenics have peculiar word association hierarchies to the notion that schizophrenics are suffering from an intermittent form of aphasia. In this article, several popular (...) hypotheses are critically assessed. Work in the area turns out to be flawed by errors in experimental method, faulty observations, tautological reasoning, and theoretical models that ignore the complexities of both speech and language. This does not mean that schizophrenics are indistinguishable from nonschizophrenics. They are clearly deviant in many situations. Their problem, however, appears to be in processing information and in selective attention, not in language itself. (shrink)

This paper is about even in downward entailing contexts. Karttunen and Peters (1979) have shown that there are two different sets of implicatures of even in such contexts. They argue that the two sets of implicatures are derived by allowing even to take scope either higher or lower than a negative polarity licenser. Rooth (1985) argues that even is lexically ambiguous, that is, there is a negative polarity even. I argue against Rooth's ambiguity theory and show that within Rooth's theory (...) of focus, a scope theory of even has better empirical coverage. I also answer objections to the scope theory raised by Rooth (1985) and Karttunen and Karttunen (1977). (shrink)

Pragmatic presuppositions are analyzed considering their relation with the notion of commitment, namely the dialogical acceptance of a proposition by an interlocutor. The attribution of commitments carried out by means of pragmatic presupposition is shown to depend on the reasonableness of the underlying presumptive reasoning, ultimately grounded on hierarchies of presumptions. On this perspective, the ordinary interpretation of pragmatic presuppositions as the “taking for granted” of propositions signaled by semantic or syntactic triggers becomes only the presumptive, prototypical interpretation of a (...) complex linguistic and pragmatic phenomenon. It will be shown how the prototypical interpretation is subject to default in cases of conflicts of presumptions, which lead to reconstructing the speaker’s meaning non-presumptively at a pragmatic, semantic, or syntactic level. The phenomena of presupposition cancellation and neutralization can be explained in terms of presumptive and non-presumptive articulation and interpretation of an utterance, through which the speaker can impose, correct, or refuse implicit commitments. (shrink)

This paper advances an approach to presupposition rooted in the concept of commitment, a dialectical notion weaker than truth and belief. It investigates ancient medieval dialectical theories and develops the insights thereof for analyzing how presuppositions are evaluated and why a proposition is presupposed. In particular, at a pragmatic level, presuppositions are reconstructed as the conclusions of implicit arguments from presumptive reasoning, grounded on presumptions of different type and nature. A false (or rather unaccepted) presupposition can be thus represented as (...) the outcome of a conflict of presumptions – the ones used by the Speaker and the ones commonly accepted or backed by evidence. From an interpretative perspective, this defaulted presumptive reasoning can be explained by comparing the available presumptions and repaired by replacing the weaker and unacceptable ones. (shrink)

This paper is an attempt to give a general explanation of pragmatic aspects of linguistic negation. After a brief survey of classical accounts of negation within pragmatic theories (as speech act theory, argumentation theory and polyphonic theory), the main pragmatic uses of negation (illocutionary negation, external negation, lowering and majoring negation) are discussed within relevance theory. The question of the relevance of negative utterance is raised, and a general inferential schema (based on the so-called invited inference) is proposed and tested (...) for the main uses of negation discussed in the paper. (shrink)

My purpose in this paper is to argue that the classical notion of entailment is not suitable for non-bivalent logics, to propose an appropriate alternative and to suggest a generalized entailment notion suitable to bivalent and non-bivalent logics alike. In classical two valued logic, one can not infer a false statement from one that is not false, any more than one can infer from a true statement a statement that is not true. In classical logic in fact preserving truth and (...) preserving non-falsity are one and the same thing. They are not the same in non-bivalent logics however and I will argue that the classical notion of entailment that preserves only truth is not strong enough for such a logic. I will show that if we retain the classical notion of entailment in a logic that has three values, true, false and a third value in between, an inconsistency can be derived that can be resolved only by measures that seriously disable the logic. I will show this for a logic designed to allow for semantic presuppositions, then I will show that we get the same result in any three valued logic with the same value ordering. I will finally suggest how the notion of entailment should be generalized so that this problem may be avoided. The strengthened notion of entailment I am proposing is a conservative extension of the classical notion that preserves not only truth but the order of all values in a logic, so that the value of an entailed statement must alway be at least as great as the value of the sequence of statements entailing it. A notion of entailment this strong or stronger will, I believe, be found to be applicable to non-classical logics generally. In the opinion of Dana Scott, no really workable three valued logic has yet been developed. It is hard to disagree with this. A workable three valued logic however could perhaps be developed however, if we had a notion of entailment suitable to non-bivalent logics. (shrink)

Grice's Quantity maxims have been widely misinterpreted as enjoining a speaker to make the strongest claim that she can, while respecting the other conversational maxims. Although many writers on the topic of conversational implicature interpret the Quantity maxims as enjoining such volubility, so construed the Quantity maxims are unreasonable norms for conversation. Appreciating this calls for attending more closely to the notion of what a conversation requires. When we do so, we see that eschewing an injunction to maximal informativeness need (...) not deprive us of any ability to predict or explain genuine cases of implicature. Crucial to this explanation is an appreciation of how what a conversation, or a given stage of a conversation, requires, depends upon what kind of conversation is taking place. I close with an outline of this dependence relation that distinguishes among three importantly distinct types of conversation. (shrink)