First, I briefly recapitulate the main points of Rosen’s article, namely, that the word “Being” does not adequately signify the paradoxical unification of subject and object and that the Klein bottle can serve as a more appropriate sign -vehicle than the word. I then propose to apply his insight more widely; however, in order to do that, it is first necessary to identify infra- and exostructures of language, including culture, category structure, logic, metaphor, semantics, syntax, concept, and sign vehicles, (...) that preserve the status quo and keep subject and object disjunct. After analyzing those infra/exostructures, I engage a complementary process of integrating them, coagula, in order to spark ideas for innovating ways in which more of those facets of language can embrace paradox. (shrink)

We begin with a prepositional languageLpcontaining conjunction (Λ), a class of sentence names {Sα}αϵA, and a falsity predicateF. We (only) allow unrestricted infinite conjunctions, i.e., given any non-empty class of sentence names {Sβ}βϵB,is a well-formed formula (we will useWFFto denote the set of well-formed formulae).The language, as it stands, is unproblematic. Whether various paradoxes are produced depends on which names are assigned to which sentences. What is needed is a denotation function:For example, theLPsentence “F(S1)” (i.e.,Λ{F(S1)}), combined with a denotation (...) functionδsuch thatδ(S1)“F(S1)”, provides the (or, in this context, a)Liar Paradox.To give a more interesting example,Yablo's Paradox[4] can be reconstructed within this framework.Yablo's Paradoxconsists of an ω-sequence of sentences {Sk}kϵωwhere, for eachnϵω:WithinLPan equivalent construction can be obtained using infinite conjunction in place of universal quantification - the sentence names are {Si}iϵωand the denotation function is given by:We can express this in more familiar terms as:etc. (shrink)

Starting from the minimal principle of generative anthropology - that human culture originates as 'the deferral of violence through representation' - the author proposes a new understanding of the fundamental concepts of metaphysics and an explanation of the historical problematic that underlies the postmodern 'end of culture.' Part I discusses the nature of paradox and the related notion of irony, as well as the fundamental concepts of being, thinking, and signification, leading to an anthropological interpretation of the origin of (...) philosophy and semiotics in Plato's Ideas. Part II develops the idea that material exchange originates in the sparagmos or violent rendering of the sacrificial victim from which each participant obtains a roughly equal portion. Examining the holocaust, the author demonstrates how postmodern dialogue becomes dominated by the rhetoric of victimage, and the culture of centrality gives way to an aesthetic of the marginal. (shrink)

According to Cantor (Mathematische Annalen 21:545–586, 1883 ; Cantor’s letter to Dedekind, 1899 ) a set is any multitude which can be thought of as one (“jedes Viele, welches sich als Eines denken läßt”) without contradiction—a consistent multitude. Other multitudes are inconsistent or paradoxical. Set theoretical paradoxes have common root—lack of understanding why some multitudes are not sets. Why some multitudes of objects of thought cannot themselves be objects of thought? Moreover, it is a logical truth that such multitudes do (...) exist. However we do not understand this logical truth so well as we understand, for example, the logical truth $${\forall x \, x = x}$$ . In this paper we formulate a logical truth which we call the productivity principle. Rusell (Proc Lond Math Soc 4(2):29–53, 1906 ) was the first one to formulate this principle, but in a restricted form and with a different purpose. The principle explicates a logical mechanism that lies behind paradoxical multitudes, and is understandable as well as any simple logical truth. However, it does not explain the concept of set. It only sets logical bounds of the concept within the framework of the classical two valued $${\in}$$ -language. The principle behaves as a logical regulator of any theory we formulate to explain and describe sets. It provides tools to identify paradoxical classes inside the theory. We show how the known paradoxical classes follow from the productivity principle and how the principle gives us a uniform way to generate new paradoxical classes. In the case of ZFC set theory the productivity principle shows that the limitation of size principles are of a restrictive nature and that they do not explain which classes are sets. The productivity principle, as a logical regulator, can have a definite heuristic role in the development of a consistent set theory. We sketch such a theory—the cumulative cardinal theory of sets. The theory is based on the idea of cardinality of collecting objects into sets. Its development is guided by means of the productivity principle in such a way that its consistency seems plausible. Moreover, the theory inherits good properties from cardinal conception and from cumulative conception of sets. Because of the cardinality principle it can easily justify the replacement axiom, and because of the cumulative property it can easily justify the power set axiom and the union axiom. It would be possible to prove that the cumulative cardinal theory of sets is equivalent to the Morse–Kelley set theory. In this way we provide a natural and plausibly consistent axiomatization for the Morse–Kelley set theory. (shrink)

This essay is written at the crossroads of intuitive holism, as typified in Eastern thought, and the discursive reflectiveness more characteristic of the West. The point of departure is the age-old human need to overcome fragmentation and realize wholeness. Three basic tasks are set forth: to provide some new insight into the underlying obstacle to wholeness, to show what would be necessary for surmounting this blockage, and to take a concrete step in that direction. At the outset, the question of (...) paradox is addressed, examined in relation to Zen meditation, the problem of language, and the thinking of Heidegger. Wholeness is to be realized through paradox, and it is shown that a complete realization requires that paradox be embodied. Drawing from the fields of visual geometry and qualitative mathematics, three concrete models of paradox are offered: the Necker cube, the Moebius surface, and the Klein bottle. In attempting to model wholeness, an important limitation is recognized: a model is a symbolic representation that maintains the division between the reality represented and the act of symbolizing that reality. It is demonstrated that while the first two models are subject to this limitation, the Klein bottle, possessing higher dimensionality, can express wholeness more completely, provided that it is approached in a radically nonclassical way. The final question of this essay concerns its own capability as an essay. It is asked whether the present text is restricted to affording a mere abstract reflection on wholeness, or whether wholeness can tangibly be delivered. (shrink)

Paradox is a logical phenomenon. Usually, it is produced in type theory, on a type Ω of “truth values”. A formula Ψ (i.e., a term of type Ω) is presented, such that Ψ↔¬Ψ (with negation as a term¬∶Ω→Ω)-whereupon everything can be proved: In Sect. 1 we describe a general pattern which many constructions of the formula Ψ follow: for example, the well known arguments of Cantor, Russell, and Gödel. The structure uncovered behind these paradoxes is generalized in Sect. 2. (...) This allows us to show that Reynolds' [R] construction of a typeA ≃℘℘A in polymorphic λ-calculus cannot be extended, as conjectured, to give a fixed point ofevery variable type derived from the exponentiation: for some (contravariant) types, such a fixed point causes a paradox.Pursueing the idea that $$\frac{{{\text{type theory}}}}{{{\text{categorical interpretation}}}} = \frac{{{\text{(propositional) logic}}}}{{{\text{Lindebaum algebra}}}}$$ the language of categories appears here as a natural medium for logical structures. It allows us to abstract from the specific predicates that appear in particular paradoxes, and to display the underlying constructions in “pure state”. The essential role of cartesian closed categories in this context has been pointed out in [L]. The paradoxes studied here remain within the limits of the cartesian closed structure of types, as sketched in this Lawvere's seminal paper — and do not depend on any logical operations on the type Ω. Our results can be translated in simply typed λ-calculus in a straightforward way (although some of them do become a bit messy). (shrink)

Theories of discursive integration form a group of theories that see the principles responsible for the integration of experience data (apperception) in the practices and schemes of discourse. These theories indicate that the use of language unites and organizes experience data. Their main assumption can be expressed as follows: this integration does not inhere in objects and cannot be derived from them; hence this integration cannot be secondarily expressed in language, but results exclusively from the use of (...) class='Hi'>language (or discourse). In this article, Witold Marzęda gives an overview of narrativist theories, script theories, Gazzaniga and Dennett’s models, which refer to evolutionary psychology, and the theories of Lakoff and Johnson – all these being theories of discursive integration. Marzęda’s main objective is to formulate a paradox, which consists in a trap of self-referentiality into which these theories fall: they postulate some general properties of discourse, which, firstly, do not have to become at once the properties of individual models and which, secondly, do not admit of falsification. (shrink)

In this book, Catherine Frost uses evidence and case studies to offer a re-examination of declarations of independence and the language that comprises such documents. Considered as a quintessential form of founding speech in the modern era, declarations of independence are however poorly understood as a form of expression, and no one can completely account for how they work. Beginning with the founding speech in the American Declaration, Frost uses insights drawn from unexpected or unlikely forms of founding in (...) cases like Ireland and Canada to reconsider the role of time and loss in how such speech is framed. She brings the discussion up to date by looking at recent debates in Scotland, where an undeclared declaration of independence overshadows contemporary politics. Drawing on the work of Hannah Arendt and using a contextualist, comparative theory method, Frost demonstrates that the capacity for renewal through speech arises in aspects of language that operate beyond conventional performativity. Language, Democracy, and the Paradox of Constituent Power is an excellent resource for researchers and students of political theory, democratic theory, law, constitutionalism, and political history. (shrink)

On the face of it, Plato’s dialogue the Cratylus has a clear and narrowly linguistic subject matter, specifically, the debate between conventionalism and naturalism in the theory of meaning. But why should this topic be of sufficient interest to Plato to warrant an entire dialogue? What philosophically was at stake for him in these seemingly recherché questions about language? I argue that at least one major motivation is a defense of Platonistic epistemology and, in particular, Plato’s Theory of Recollection. (...) Specifically, I argue that conventionalism and naturalism pose alternative responses to a certain version of the paradox of analysis. If either is correct, Plato’s own solution to the paradox – the Theory of Recollection – will not be adequately motivated. If, however, neither conventionalism nor naturalism can plausibly avoid the paradox, the Theory of Recollection will still be needed. (shrink)

The settler-colonial and republican principles of early U.S. politics tend to be studied as paradoxical ambitions of American nation-building. This article argues that early republican thought in the United States developed through what I call ‘ideological code-switching’, a vernacular practice that allowed popular actors to strategically vacillate between anti-colonial and neo-colonial discourses as complementary principles of revolutionary change. I illustrate these claims by tracing a genealogy of anti- and neo-colonial thought from the founding of the United States to its transnational (...) emergence in the U.S.-Mexico borderlands. I demonstrate that ideological code-switching first appeared as a rhetorical strategy among the Federalist debates, where Publius argued for the feasibility of expansionist republics via a hemispheric account of American exceptionalism. These appeals to hemispheric unity remained salient into the nineteenth century among groups like the ‘Republicans of ‘Nacogdoches’, a militia comprised of Indigenous, Mestizo, and White actors that mobilized an attack on Spain and founded the Republic of Texas in April of 1813. Drawing on archival research, I turn to the U.S.-Mexico borderlands as an example of the way marginalized groups instrumentalized links between anti- and neo-colonial politics to envision their position in the rapidly evolving landscapes of transnational revolution. (shrink)

This book offers readers a collection of 50 short chapter entries on topics in the philosophy of language. Each entry addresses a paradox, a longstanding puzzle, or a major theme that has emerged in the field from the last 150 years, tracing overlap with issues in philosophy of mind, cognitive science, ethics, political philosophy, and literature. Each of the 50 entries is written as a piece that can stand on its own, though useful connections to other entries are (...) mentioned throughout the text. Readers can open the book and start with almost any of the entries, following themes of greatest interest to them. Each entry includes recommendations for further reading on the topic. -/- Philosophy of Language: 50 Puzzles, Paradoxes, and Thought Experiments is useful as a standalone textbook, or can be supplemented by additional readings that instructors choose. The accessible style makes it suitable for introductory level through intermediate undergraduate courses, as well as for independent learners, or even as a reference for more advanced students and researchers. (shrink)

This volume is published concurrently with the one reviewed below and together they unite a number of Quine's previously scattered papers into two compact volumes; this volume deals with his more philosophical work while the other is concerned with more purely technical logical studies. The twenty-one essays cover the period 1934-1964 and none have appeared between hard covers before. Several of the articles—"The ways of paradox," "Foundations of mathematics," "On the application of modern logic," and "Necessary truth"—are essentially popular (...) expositions. The others are generally more restricted in both scope and appeal, and deal with the ontology of the sentential calculus, truth by convention, implicit definition, modal logic, and ontological reduction in the sciences. Several articles concern the philosophy of science directly: "On simple theories of a complex world," "Posits and reality," and "The scope and language of science." This fine collection will be of significant help in presenting the work of a distinguished philosopher to a wider audience, as well as providing the professional with a source of discussion.—P. J. M. (shrink)

Kneller's main concern is that, "If we are to understand the problems, policies, and concepts of education, we must first examine carefully the language of educational discourse." This book is a sober and readable review of several problems in modern philosophy, in which are revealed some of the strategies used by the giants of language philosophy to analyze difficult philosophical propositions and paradoxes. Each chapter of historical exposition is paralleled with a chapter of applications to problems in educational (...) philosophy. The early part of the book is a review of John Dewey's central theses, plus a few words on research methodology in general, both of which are related to the conduct of classroom lessons; the second part of the book, which Kneller calls "Formal Analysis," is an exceedingly competent precis of work in the philosophy of science, especially Wittgenstein's and Carnap's, followed by a series of important caveats to educational researchers, reminding them of some of the serious problems of inference and generalization in the behavioral sciences; the third section, featuring Ryle, Austin, and Strawson, is called "Informal Analysis," and is principally a discussion of "ordinary language" philosophy, with applications to the familiar clichés and slogans of school administrators and politicians. Kneller favors this last group, since he feels that informal analysis is more "practical and humane," and his feelings are supported by some current conflicts between hard and soft educational research. The basic exhortation of this book, though, is that people who talk and think about education should be more philosophically competent about it, even if their philosophical blunders have not yet affected their ability to teach and make policy. He maintains that educational philosophy will not add anything new to the educational universe, but rather, clarify what is already there.—E. H. W. (shrink)

For Sengzhao (374−414 CE), a leading Sanlun philosopher of Chinese Buddhism, things in the world are ontologically indeterminate in that they are devoid of any determinate form or nature. In his view, we should understand and use words provisionally, so that they are not taken to connote the determinacy of their referents. To echo the notion of ontic indeterminacy and indicate the provisionality of language, his main work, the Zhaolun, abounds in paradoxical expressions. In this essay, I offer a (...) philosophical analysis and rational reconstruction of Sengzhao’s linguistic thought, with a view to exploring the rationale for and purpose of his use of paradoxical language. (shrink)

According to Emma Borg, minimalism is (roughly) the view that natural language sentences have truth conditions, and that these truth conditions are fully determined by syntactic structure and lexical content. A principal motivation for her brand of minimalism is that it coheres well with the popular view that semantic competence is underpinned by the cognition of a minimal semantic theory. In this paper, I argue that the liar paradox presents a serious problem for this principal motivation. Two lines (...) of response to the problem are discussed, and difficulties facing those responses are raised. I close by issuing a challenge: to construe the principal motivation for BM in such a way so as to avoid the problem of paradox. (shrink)

Speaking of truth inescapably confronts us with paradoxes, i.e., correct deductive propositions like a Cretan claiming that all Cretans lie which (due to negative systemic self-reference) end up as circular contradictions, indeterminable questions, or dilemmas. Faced with the numerous paradoxical statements (apparently 82) found in the Bible, the German Protestant reformer Sebastian Franck (14991542), for example, conceded that any truth of God cannot be found in language but only in the immediate silent experience of God. Likewise, believers in an (...) uncompromising search for true facts about this world would certainly agree with (though arguably misappropriate) Wittgenstein in claiming that Whereof one cannot speak, thereof one must be silent. Paradoxes this article claims must neither be feared, nor avoided, nor become subject to hopeless attempts in searching for logic solutions. Paradoxes lead the way to truth in demonstrating that questions of truth, or truth claims, cannot be adequately addressed within the same system of communication (ortho-system) in which they are raised. The encounter with paradoxes (e.g., a God who creates but is uncreated) elevates language and communication onto a meta-level (or system) of communication in which new means (like for instance Gdel's numbering) are needed to speak of what is real but apparently cannot be true. These means, however, will turn out to be likewise paradoxes that furthermore call for new and creative ways of speaking of such truths that previously could not be communicated. The creative admission of paradoxes into communication philosophy will not solve age-old problems or dilemmas; however, it will playfully open up the conversation of science with religion to the creative means of the arts were truth is not argued but performed in paradoxes. (shrink)

Dorothy Edgington’s work has been at the centre of a range of ongoing debates in philosophical logic, philosophy of mind and language, metaphysics, and epistemology. This work has focused, although by no means exclusively, on the overlapping areas of conditionals, probability, and paradox. In what follows, I briefly sketch some themes from these three areas relevant to Dorothy’s work, highlighting how some of Dorothy’s work and some of the contributions of this volume fit in to these debates.

Semantic and soritical paradoxes challenge entrenched, fundamental principles about language - principles about truth, denotation, quantification, and, among others, 'tolerance'. Study of the paradoxes helps us determine which logical principles are correct. So it is that they serve not only as a topic of philosophical inquiry but also as a constraint on such inquiry: they often dictate the semantic and logical limits of discourse in general. Sixteen specially written essays by leading figures in the field offer new thoughts and (...) arguments about the paradoxes. (shrink)

The Liar paradox arises when we consider a sentence that says of itself that it is not true. If such self-referential sentences exist? and examples like?This sentence is not true? certainly suggest this?, then our logic and standard notion of truth allow to infer a contradiction: The Liar sentence is true and not true. What has gone wrong? Must we revise our notion of truth and our logic? Or can we dispel the common conviction that there are such self-referential (...) sentences? The present study explores the second path.0After comparing the Liar reasoning in formal and informal logic and showing that there are no Gödelian Liar sentences, the study moves on from the semantics of self-reference to the metaphysics of expressions and proposes a novel solution to the Liar paradox: Meaningful expressions are distinct from their syntactic bases and exist only relative to contexts. Detailed semantico-metaphysical arguments show that in this dynamic setting, an object can be referred to only after it has started to exist. Hence the circular reference needed in the Liar paradox cannot occur, after all. As this solution is contextualist, it evades the expressibility problems of other proposals. (shrink)

The later Wittgenstein claimed to resolve philosophical problems through returning words to their 'ordinary' use. The paradox arises that Wittgenstein's own philosophy must be written in a philosophical language and, therefore, in an extra-ordinary language. The paradox is discussed with particular reference to rules. Rules constitute language, but the account of the 'rule' itself leads to paradox and contradiction. A rule is followed and following a rule requires an interpretation. The interpretation of the rule (...) requires a decision. The decision precedes the rule, so it justifies following a rule but there cannot be a rule for the decision itself. (shrink)

Chinese Chan or Zen Buddhism is renowned for its improvisational, atypical, and perplexing use of words. In particular, the tradition’s encounter dialogues, which took place between Chan masters and their interlocutors, abound in puzzling, astonishing, and paradoxical ways of speaking. In this chapter, we are concerned with Chan’s use of paradoxical language. In philosophical parlance, a linguistic paradox comprises the confluence of opposite or incongruent concepts in a way that runs counter to our common sense and ordinary rational (...) thinking. One naturally wonders about Chan masters’ rationales for their use of paradox. There are also concerns about whether the use violates the logical principle of noncontradiction to the effect that nothing can be both P and not-P all over in the same way at the same time. Chan became a viable Chinese Buddhist tradition during the Tang dynasty (618−907) and continued to develop for several centuries. The tradition had produced a huge literature; consequently, our investigation of its use of paradox cannot but be limited and selective. In the second section, I first sketch key ideas of Chan that are pertinent to our investigation and then examine the use of paradox in the sermons associated with certain Tang masters of the southern Chan. In the third section, I analyze the presence of paradoxical language in post-Tang encounter dialogues. The fourth section concludes. (shrink)

The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, (...) since it says (only) that it is false. -/- How, then, should we classify Liar sentences? Are they true or false? A natural suggestion would be that Liars are neither true nor false; that is, they fall into a category beyond truth and falsity. This solution might resolve the initial problem, but it beckons the Liar's revenge. A sentence that says of itself only that it is false or beyond truth and falsity will, in effect, bring back the initial problem. The Liar's revenge is a witness to the hydra-like nature of Liars: in dealing with one Liar you often bring about another. -/- JC Beall presents fourteen new essays and an extensive introduction, which examine the nature of the Liar paradox and its resistance to any attempt to solve it. Written by some of the world's leading experts in the field, the papers in this volume will be an important resource for those working in truth studies, philosophical logic, and philosophy of language, as well as those with an interest in formal semantics and metaphysics. (shrink)

Philosopher Daniel C. Fouke sheds the light of rhetorical analysis on a subversive thinker whose challenges to institutional authority have awakened recent scholarly interest. John Toland was a controversial Irish-born British freethinker, satirist, and critic of traditional Christianity. His work Christianity Not Mysterious, now considered a classic exposition of deism, provoked outrage in its time, but eventually led to a healthy skepticism regarding the historical reliability of the biblical canon. Though little known today, Toland was an acquaintance of Gottfried Wilhelm (...) Leibniz, John Locke, and Anthony Ashley Cooper, Third Earl of Shaftesbury, among others. Fouke argues that Toland's use of language in theology and philosophy represents a neglected current of early modern thought, in significant contrast to Locke, to whom Toland is often compared. Toland's practice of philosophy recognizes a social dimension to knowledge, which cannot be found in many of his contemporaries. Fouke analyzes Toland's "exoteric strategy" of speaking as others speak, but with a different meaning. He argues that Toland's philosophy and theology had little to do with positive expression of beliefs, and that his philosophical aim was not to develop an epistemology, a true metaphysical system, an ideal form of governance, or the basis of ethical obligation, but to find ways to participate in the discourses of others while undermining those discourses from within. Fouke traces Toland's practices to Shaftesbury's conception of a comic or "derisory" mode of philosophizing aimed at exposing pedantry, imposture, dogmatism, and folly. This important study adds new depth to our understanding of a neglected though influential British writer. (shrink)

I sketch the basic problem of vagueness - the sorites paradox and propose a new solution. I try to show that the paradoxical result of the sorites arguments arises from combining different language games or representation systems without sufficient care. I propose two solutions, two types of regimentating the sorites. They do not allow an inheritance of the vague property F in the whole sequence of objects. The first introduces some quantitatively determined predicates (quantitative regimentation) and the second (...) (relational regimentation) replaces the equivalence relation between successive objects with a suitable weaker asymmetrical relation ‘is at least as much F as’ (or ‘is at most as much F as’). (shrink)

Investigates the possibility of constructing an interdisciplinary ontology to address such fundamental issues as guidelines for behavior and the validity and scope of knowledge from other than a limited perspective.

The author considers following question: is a consistent semantically closed language possible? The negative answer is the orthodox answer in the logic of the 20th century. It was presented in Russell's theory of types and Tarski's semantic theory of metalanguages. Nevertheless, contemporary logicians and philosophers of language return to this problem time and again, pointing to its relevance in various aspects. In particular, it is asserted that semantically closed language is a very important tool for expressing logical (...) and philosophical ideas. In logic of the 20th century, the problem of semantically closed language was discussed in connection with the problem of logical paradoxes. Russell and Tarski saw a fundamental cause of paradoxes in the phenomenon of self-reference that arises in semantically closed language. Accordingly, a solution for paradoxes was seen in eliminating the cause, that is, in prohibiting semantically closed language by means of a hierarchy of logical types of classes (Russell) or a hierarchy of metalanguages (Tarski). However, some contemporary logicians criticize the hierarchical approach, whose main argument consists in asserting that the approach was wrong in its diagnosis of the cause of paradoxes. This author does not try to correct the diagnostics of the hierarchical approach by identifying another cause of paradoxes. Instead, the author recognizes that a general solution of the problem of paradoxes cannot be given, a priori, by eliminating what fundamentally generates them. In this article, a new “ad hoc solution" of the problem is offered that rests upon an empirical method of identifying and eliminating paradoxes. A specific characteristic of the method is admitting the existence of consistent semantically closed language. (shrink)

Heinz Von Forester characterizes the objects “known” by an autopoietic system as eigen-solutions, that is, as discrete, separable, stable and composable states of the interaction of the system with its environment. Previous articles have presented the FBST, Full Bayesian Significance Test, as a mathematical formalism specifically designed to access the support for sharp statistical hypotheses, and have shown that these hypotheses correspond, from a constructivist perspective, to systemic eigen-solutions in the practice of science. In this article several issues related to (...) the role played by language in the emergence of eigen-solutions are analyzed. The last sections also explore possible connections with the semiotic theory of Charles Sanders Peirce. (shrink)

Within contemporary analytic philosophy, varieties of “naturalism” have recently attained an almost unchallenged methodological and thematic dominance. As David Papineau wrote in the introduction to his 1993 book Philosophical Naturalism, “nearly everybody nowadays wants to be a naturalist,” although as Papineau also notes, those who aspire to the term also continue to disagree widely about what specific methods or doctrines it implies. My purpose in this paper, however, is not to argue for or against philosophical naturalism on any of the (...) several conceptions current among analytic philosophers, but rather simply to suggest that a closer look at the history of the analytic tradition can offer helpful terms for rethinking what can be meant by applying the categories of “nature” and “culture” within philosophy’s ongoing reflection on the constitutive forms of human life and practice. For, as I shall argue, the central experience of this history – philosophy’s radical encounter with what it envisions as the logical or conceptual structure of everyday language – also repeatedly demonstrates the existence of a fundamental aporia or paradox of origin and practice at the center of the claim of language upon an ordinary human life. The appearance of this paradox has repeatedly determined the results and projects of the analytic tradition, even as analytic philosophers have also reacted to it, on the level of positive theory, in characteristic modes of dismissal, denial, or repression. Besides offering to elicit more clearly what analytic philosophy still offers to show us about our everyday relation to the language that we speak, I shall argue, documenting the existence and effects of this aporia can also yield a clarified sense of the relationship of the analytic tradition itself to the neighboring streams of “continental” philosophy that have also taken up the question of language during the twentieth century. (shrink)

This paper aims to explore the relationship between the necessity predicate and the truth predicate by comparing two possible-world interpretations. The first interpretation, proposed by Halbach et al. (J Philos Log 32(2):179–223, 2003), is for the necessity predicate, and the second, proposed by Hsiung (Stud Log 91(2):239–271, 2009), is for the truth predicate. To achieve this goal, we examine the connections and differences between paradoxical sentences that involve either the necessity predicate or the truth predicate. A primary connection is established (...) through two translations that change only one of the predicates to the other while keeping everything else unchanged. We prove that in bijective frames, a set of sentences that contains one of the two semantic predicates has the same paradoxicality as the corresponding set of sentences that contains the other predicate obtained through translation. However, there are substantial differences as well. First, the necessity predicate and the truth predicate, under the two interpretations, cannot be defined by each other. Moreover, for sentences that involve only the truth predicate, their paradoxicality is preserved under the homomorphisms of frames. For sentences containing the necessity predicate, their paradoxicality is preserved under bounded morphisms, but none of these sentences can have their paradoxicality preserved under the extension of frames. Finally, we also show that paradoxical sentences involving the necessity predicate and those involving the truth predicate differ significantly in terms of mirror symmetry, circularity dependence, and frame compactness. (shrink)

The paper is concerned with the epistemological status of testimony and the question of what may confer justification on true testimonial beliefs and enable us to call such beliefs knowledge. In particular, it addresses certain anti-reductionist arguments in the epistemology of testimony and their incompatibility with the grammatical categories of egophoricity (conjunct/disjunct marking) and evidentiality (information source marking) present in the architecture of natural languages. First, the tradition of epistemological individualism and its rationale are discussed, as well as certain attempts (...) within this tradition to include testimony-based beliefs in the body of legitimate and rational beliefs. The next section is concerned with the anti-reductionist approach to testimonial beliefs and some arguments supporting ‘the credulity principle’ grounded in Thomas Reid's philosophy of common sense. The last two sections show how the anti-reductionist argumentation is threatened with an insoluble dilemma when considered in the context of languages with the grammatical categories of egophoricity (conjunct/disjunct marking) and evidentiality (information source marking). Special attention is paid to the justificatory role of egophoric and evidential marking; how these grammatical categories may influence the process of belief formation, and consequently, how this bears upon the nature of justification for testimonial beliefs. The final conclusion of the paper is that the anti-reductionist claim concerning the directness and non-inferential nature of testimonial knowledge is bound to meet objections grounded in the structure of many natural languages. This leads to a paradox: in discussion with reductionism, anti-reductionists do seek support for their arguments in common sense beliefs reflected in everyday language, and, on the other hand, their claims are incompatible with the linguistic data found in a number of natural languages. (shrink)

Non-adjacent or long-distance dependencies (LDDs) are routinely considered to be a distinctive trait of language, which purportedly locates it higher than other sequentially organized signal systems in terms of structural complexity. This paper argues that particular languages display specific resources (e.g. non-interpretive morphological agreement paradigms) that help the brain system responsible for dealing with LDDs to develop the capacity of acquiring and processing expressions with such a human-typical degree of computational complexity. Independently obtained naturalistic data is discussed and put (...) to the service of the idea that the above-mentioned resources exert their developmental role from the outside, but in compliance with other internal resources, ultimately compounding an integrated developmental system. Parallels with other human and nonhuman developmental phenomena are explored, which point to the conclusion that the developmental system of concern can be assimilated to cases currently been conceptualized as ‘cue-response systems’ or ‘developmental hybrids’ within the ecological-developmental paradigm in theoretical biology. Such a conclusion is used to support the idea that both current externalist and internalist concepts fall short of a correct characterization of language. (shrink)

The papers collected in this volume exemplify some of the trends in current approaches to logic, language and computation. Written by authors with varied academic backgrounds, the contributions are intended for an interdisciplinary audience. The first part of this volume addresses issues relevant for multi-agent systems: reasoning with incomplete information, reasoning about knowledge and beliefs, and reasoning about games. Proofs as formal objects form the subject of Part II. Topics covered include: contributions on logical frameworks, linear logic, and different (...) approaches to formalized reasoning. Part III focuses on representations and formal methods in linguistic theory, addressing the areas of comparative and temporal expressions, modal subordination, and compositionality. (shrink)