It is widely assumed that the identity relation is, among other things, transitive. Some have proposed that the identity relation might hold between objects contingently or occasionally. If, on those proposals, identity is shown to not be transitive, then there is reason to reject such proposals. One such argument attempts to show that the identity relation on such proposals violates transitivity in cases of ‘simultaneous’ fissions and fusion. I argue that, even in those cases, contingent identity and occasional identity are (...) transitive. (shrink)

I review and reconsider some of the themes of ‘Two notions of necessity’ (Davies and Humberstone, 1980) and attempt to reach a deeper understanding and appreciation of Gareth Evans’s reflections (in ‘Reference and contingency’, 1979) on both modality and reference. My aim is to plot the relationships between the notions of necessity that Humberstone and I characterised in terms of operators in two-dimensional modal logic, the notions of superficial and deep necessity that Evans himself described, and the epistemic notion of (...) a priority. (shrink)

Las interpretaciones tradicionales de Frege tienden a explicar su antipsicologismo como indicando que ninguna consideración subjetivista debe interferir en la elaboración de un lenguaje lógico; dichas interpretaciones, sin embargo, tienen problemas para explicar el énfasis dado por el mismo Frege a conceptos como el de fuerza asertiva. Este artículo pretende solucionar esta extrañeza investigando, a partir de su concepto de ciencia, algunas de las ideas epistemológicas de Frege. Esto nos llevará a concluir que una concepción de la verdad como fenómeno (...) esencialmente público puede resolver este y otros problemas interpretativos. (shrink)

Near the beginning of De Gen. et Cor. II.1, Aristotle claims that the generation and corruption of all naturally constituted substances are “not without the perceptible bodies”. It is not clear what he intends by this. In this paper I offer a new interpretation of this assertion. I argue that the assumption behind the usual reading, namely, that these “perceptible bodies” ought to be distinguished from the naturally constituted substances, is flawed, and that the assertion is best understood as a (...) claim that Aristotle has established in the second half of the first book of the De Gen. et Cor. (shrink)

In this paper I will analyze some philosophically relevant aspects involved in the dissolution of Benacerraf’s problem of fixing the identity of natural numbers by Shapiro’s structuralism. My fundamental aim is to present three criticisms to Shapiro’s position –to his conception of language, to his characterization of structures as ante rem, and to his dramatic conception of ontology. Some of these criticisms will also be directed to Benacerraf’s identification problem.

In this paper I argue for the idea that, throughout the history of science, there are some cases of theory change that would show how science develops with no referential continuity. For this purpose, I analyze Psillos’ proposal of a theory of reference used to account for referential continuity in conceptual transitions. This kind of continuity is requested by Psillos —as by other philosophers— in his defense of scientific realism. By means of a historical case, the theory of germplasm of (...) August Weismann, I intend to demonstrate that Psillos’ demand for reference continuity can be found to be inadequate. DOI:10.5007/1808-1711.2010v14n3p335. (shrink)

Esse artigo contém uma leitura da semântica fregeana na qual sentidos são parafraseados como regras cognitivas e a existência e a verdade em termos da aplicabilidade dessas regras. Nesse contexto ideias objetáveis da semântica fregeana são substituídas por outras mais intuitivas e plausíveis, sendo as consequências disso especulativamente consideradas.

O principal objetivo desse artigo é interpretativo. Trata-se de historiar as tradicionais teorias descritivistas dos nomes próprios sugeridas por Frege, Russell, Wittgenstein e Searle, demonstrando que, diversamente do que é suposto, elas não constituem teorias diversas a competir entre si, mas apresentações algo diversas de um mesmo modo de ver.

The paper discusses the emergence of Frege's puzzle and the introduction of the celebrated distinction between sense and reference in the context of Frege's logicist project. The main aim of the paper is to show that not logicism per se is mainly responsible for this introduction, but Frege's constant struggle against formalism. Thus, the paper enlarges the historical context, and provides a reconstruction of Frege's philosophical development from this broader perspective.

In formulating the puzzle about cognitive significance in ‘Über Sinn und Bedeutung’, Frege rejects the approach he suggested in the Begriffsschrift on the ground that if the utterance of a sentence of the form a = b is understood as ‘a’ and ‘b’ referring to the same object we lose the subject matter. In this note, we will show how Frege’s concerns can be understood and circumvented.

The Distributional Compositional Categorical model is a mathematical framework that provides compositional semantics for meanings of natural language sentences. It consists of a computational procedure for constructing meanings of sentences, given their grammatical structure in terms of compositional type-logic, and given the empirically derived meanings of their words. For the particular case that the meaning of words is modelled within a distributional vector space model, its experimental predictions, derived from real large scale data, have outperformed other empirically validated methods that (...) could build vectors for a full sentence. This success can be attributed to a conceptually motivated mathematical underpinning, something which the other methods lack, by integrating qualitative compositional type-logic and quantitative modelling of meaning within a category-theoretic mathematical framework. The type-logic used in the DisCoCat model is Lambekʼs pregroup grammar. Pregroup types form a posetal compact closed category, which can be passed, in a functorial manner, on to the compact closed structure of vector spaces, linear maps and tensor product. The diagrammatic versions of the equational reasoning in compact closed categories can be interpreted as the flow of word meanings within sentences. Pregroups simplify Lambekʼs previous type-logic, the Lambek calculus. The latter and its extensions have been extensively used to formalise and reason about various linguistic phenomena. Hence, the apparent reliance of the DisCoCat on pregroups has been seen as a shortcoming. This paper addresses this concern, by pointing out that one may as well realise a functorial passage from the original type-logic of Lambek, a monoidal bi-closed category, to vector spaces, or to any other model of meaning organised within a monoidal bi-closed category. The corresponding string diagram calculus, due to Baez and Stay, now depicts the flow of word meanings, and also reflects the structure of the parse trees of the Lambek calculus. (shrink)

This monograph proposes a new way of implementing interaction in logic. It also provides an elementary introduction to Constructive Type Theory. The authors equally emphasize basic ideas and finer technical details. In addition, many worked out exercises and examples will help readers to better understand the concepts under discussion. One of the chief ideas animating this study is that the dialogical understanding of definitional equality and its execution provide both a simple and a direct way of implementing the CTT approach (...) within a game-theoretical conception of meaning. In addition, the importance of the play level over the strategy level is stressed, binding together the matter of execution with that of equality and the finitary perspective on games constituting meaning. According to this perspective the emergence of concepts are not only games of giving and asking for reasons, they are also games that include moves establishing how it is that the reasons brought forward accomplish their explicative task. Thus, immanent reasoning games are dialogical games of Why and How. (shrink)

On a now orthodox view, humans and many other animals possess a “number sense,” or approximate number system, that represents number. Recently, this orthodox view has been subject to numerous critiques that question whether the ANS genuinely represents number. We distinguish three lines of critique – the arguments from congruency, confounds, and imprecision – and show that none succeed. We then provide positive reasons to think that the ANS genuinely represents numbers, and not just non-numerical confounds or exotic substitutes for (...) number, such as “numerosities” or “quanticals,” as critics propose. In so doing, we raise a neglected question: numbers of what kind? Proponents of the orthodox view have been remarkably coy on this issue. But this is unsatisfactory since the predictions of the orthodox view, including the situations in which the ANS is expected to succeed or fail, turn on the kind of number being represented. In response, we propose that the ANS represents not only natural numbers, but also non-natural rational numbers. It does not represent irrational numbers, however, and thereby fails to represent the real numbers more generally. This distances our proposal from existing conjectures, refines our understanding of the ANS, and paves the way for future research. (shrink)

Paradigmatic uses of negative existentials such as ‘Vulcan does not exist’ are problematic because they present the interpreter with a pragmatic paradox: a speaker who uses such a sentence seems to be asserting something that is incompatible with what she presupposes. An adequate solution must therefore explain why we interpret paradigmatic uses of negative existentials as saying something true, even though such uses present us with a pragmatic paradox. I provide such an explanation by analyzing paradigmatic uses of negative existentials (...) as corrections of previous assertions that are judged to suffer from referential presupposition failure. I present the explanation within the framework of a simple version of segmented discourse representation theory. (shrink)

Futility is easily defined as uselessness. The mistaken appearance that it cannot be defined is explained by difficulties applying it to particular cases. This latter problem is a major goal of clinical training and cannot be solved in a pithy statement.

In this paper I address G. C. Rota’s account of mathematical identity and I attempt to relate it with aspects of Frege as well as Husserl’s views on the issue. After a brief presentation of Rota’s distinction among mathematical facts and mathematical proofs, I highlight the phenomenological background of Rota’s claim that mathematical objects retain their identity through different kinds of axiomatization. In particular, I deal with Rota’s interpretation of the ontological status of mathematical objects in terms of ideality. Then (...) I detect certain similarities among Rota’s views and Frege’s account of the constitution of arithmetical identity on the grounds of 1–1 correspondence. I point out an epistemic as well as an ontological aspect of this issue. In the sequel, I attempt to deal with the problem of “mixed identities” in mathematics stated by Benacerraf by taking in account Rota’s use of the phenomenological notion “Fundierung”. (shrink)

The most striking feature of Meinong's theory of intentionality is his thesis that every mental act has its reference‐object “beyond being and non being”. This theory seems, at first, to be a clear example of the so called object‐theory of intentionality, as it introduces special “postulated” entities in the target‐position of the mental act. Closer examination, however, reveals in Meinong's works important elements of the mediator‐theory. Meinong speaks of auxiliary incomplete objects situated “between” the subject and the object of reference (...) and “mediating” the intentional access to the reference‐object. Moreover, even if the object of reference is of the simple nominal form, the mediating structure involves essentially propositional entities . In the paper we attempt to give a set‐theoretical interpretation of Meinong's theory in the frame of which we could eventually do without the incomplete mediating objects. Yet, some general epistemological considerations suggest the indispensability of such incomplete mediating structures. (shrink)

The most striking feature of Meinong's theory of intentionality is his thesis that every mental act has its reference‐object “beyond being and non being”. This theory seems, at first, to be a clear example of the so called object‐theory of intentionality, as it introduces special “postulated” entities in the target‐position of the mental act. Closer examination, however, reveals in Meinong's works important elements of the mediator‐theory. Meinong speaks of auxiliary incomplete objects situated “between” the subject and the object of reference (...) and “mediating” the intentional access to the reference‐object. Moreover, even if the object of reference is of the simple nominal form, the mediating structure involves essentially propositional entities. In the paper we attempt to give a set‐theoretical interpretation of Meinong's theory in the frame of which we could eventually do without the incomplete mediating objects. Yet, some general epistemological considerations suggest the indispensability of such incomplete mediating structures. (shrink)

Two-dimensional approaches to semantics, broadly understood, recognize two "dimensions" of the meaning or content of linguistic items. On these approaches, expressions and their utterances are associated with two different sorts of semantic values, which play different explanatory roles. Typically, one semantic value is associated with reference and ordinary truth-conditions, while the other is associated with the way that reference and truth-conditions depend on the external world. The second sort of semantic value is often held to play a distinctive role in (...) analyzing matters of cognitive significance and/or context-dependence. (shrink)

Like other sciences, biosemiotics also has its time-honoured archive, consisting, among other things, of writings by those who have been invented and revered as ancestors of the discipline. One such example is Jakob von Uexküll who has been hailed as a precursor of semiotics, developing his theory of “sign” and “meaning” independently of Saussure and Peirce. The juxtaposition of “sign” and “meaning” is revelatory because one can equally legitimately claim Uexküll as a hermeneutician in the same way as others having (...) claimed him as a semiotician. Such a novel temptation can be justified by Uexküll’s prolonged obsession with Sinn and Bedeutung since his first book in 1909. This paper attempts to reconstruct the immediate intellectual horizon of Uexküll’s historicity, a discursive space traversed by his contemporaries Frege and Husserl, in order to see how Uexküll’s discussions of Zeichen and Gegenstand, Sinn and Bedeutung, were informedby other philosophers of language, and to establish Uexküll as a phenomenological hermeneutician in the tradition of Husserl, Heidegger and Gadamer. To forestall and counter possible criticism that hermeneutics is primarily concerned with textual interpretation, while Uexküll is at most an interpreter of animal life, the paper will discuss his unfinished parody of the Platonic dialogue Meno, which is entitled Die ewige Frage: Biologische Variationen über einen platonischen Dialog (1943). It is through such textual practice that one witnesses the emergence of an Uexküll who embodies at once the addressee exercising his understanding of ancient texts as well as the second addresser recoding his explanation to another group of targeted addressees. This textual practice already goes beyond the confines of biology and in fact involves the linguistic pragmatics of rhetoric and speech act. (shrink)

When I say ‘Hesperus is Phosphorus’, I seem to express a proposition. And when I say ‘Joan believes that Hesperus is Phosphorus’, I seem to ascribe to Joan an attitude to the same proposition. But what are propositions? And what is involved in ascribing propositional attitudes?

What is involved in the meaning of our expressions? Frege suggested that there is an aspect of an expression.

This article is about the conception of truth and signification in Augustine's early philosophical writings. In the first, semantic-linguistic part, the gradual shift of Augustine's position towards the Academics is treated closely. It reveals that Augustine develops a notion of sign which, by integrating elements of Stoic epistemology, is suited to function as a transmitter of true knowledge through linguistic expressions. In the second part, both the ontological structure of signified (sensible) things and Augustine's solution to the apparent tautologies of (...) mathematical truths are examined. Again his notion of sign turns out to be the keystone; this time, however, the natural in contrast to the conventional sign of linguistic expressions. In their complementarity, both parts show how Augustine intensely struggles with and (partially) overcomes the skepticism of the sensible world through his conception of sign and signification. (shrink)

Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of (...) his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one. (shrink)

The main focus of this article is to present the practical aspect of the code rules of variation and the search for a second set of genomic rules, including comparison of sequences to understand how to preserve compatible organisms in danger of extinction and how to generate biodiversity. Three new rules of variation are introduced: 1) homologous recombination, 2) a healthy fertile offspring, and 3) comparison of compatible genomes. The novel search in the natural world for fully compatible genomes capable (...) of homologous recombination is explored by using examples of human polymorphisms and by the production of fertile offspring by crossbreeding. By a rational control of: natural crossbreeding of organisms with compatible genomes (something already happening in nature), the current work focuses on the generation of new varieties after a careful plan. This study is presented within the context of biosemiotics, which studies the processing of information, signalling and signs by living systems. I define a group of organisms having compatible genomes as a single theme: the genomic species or population, able to speak the same molecular language through different accents, with each variety within a theme being a different version of the same book. These studies have a molecular, compatible genetics context. Population and ecosystem biosemiotics will be exemplified by a possible genetic damage capable of causing mutations by breaking the rules of variation through the coordinated patterns of atoms present in the 9/11 World Trade Center contaminated dust (U, Ba, La, Ce, Sr, Rb, K, Mn, Mg, etc.), combination that may be able to overload the molecular quality control mechanisms of the human body. I introduce here the balance of codons in the circular genetic code: 2[1(1)+1(3)+1(4)+4(2)]=2[2(2)+3(4)]. (shrink)

Taking a lead from Eva Picardi’s work and influence, I investigate the significance of Frege’s context principle for the philosophy of language. I argue that there are some interpretive problems with recent meta-semantic interpretations of the principle. Instead, I offer a somewhat weaker alternative: the context principle is a tool to license certain definitions. Moreover, I claim that it merely lays out one of many possible ways of licensing a definition. This means, among other things, that despite Frege’s imperative injunctions, (...) the context principle formulates a permission—not a requirement. (shrink)

In “On Referring” Peter Strawson pointed out that incomplete descriptions pose a problem for Russell’s analysis of definite descriptions. Howard Wettstein and Michael Devitt appealed to incomplete descriptions to argue, first, that Russell’s analysis of definite descriptions fails, and second, that Donnellan’s referential/attributive distinction has semantic bite. Stephen Neale has defended Russell’s analysis of definite descriptions against Wettstein’s and Devitt’s objections. In this paper, my aim is twofold. First, I rebut Neale’s objections to Wettstein’s and Devitt’s argument and argue that (...) Neale’s attempt to provide an account of referential descriptions within a Russellian framework fails. Second, contra Devitt and Wettstein, I argue that the problem posed by incomplete descriptions shows that Donnellan was right in believing that referential descriptions refer even if the definite description fits nothing. (shrink)

Thanks to David Kaplan (1989a, 1989b), we all know how to handle indexicals like ‘I’. ‘I’ doesn’t refer to an object simpliciter; rather, it refers to an object only relative to a context. In particular, relative to a context C, ‘I’ refers to the agent of C. Since different contexts can have different agents, ‘I’ can refer to different objects relative to different contexts. For example, relative to a context cwhose agent is Gottlob Frege, ‘I’ refers to Frege; relative to (...) a context 0* whose agent is Alexius.. (shrink)

Millianism and Fregeanism agree that a sentence that contains a name expresses a structured proposition but disagree about whether that proposition contains the object that the name refers to (Millianism) or rather a mode of presentation of that object (Fregeanism). Various problems – about simple sentences, propositional‐attitude ascriptions, and sentences that contain empty names – beset each view. To solve these problems, Millianism can appeal to modes of presentation, and Fregeanism can appeal to objects. But this raises a further problem: (...) namely, to explain why the proposition expressed by a sentence that contains a name matters in some cases but not in others. (shrink)

My aim in this paper is to connect naming and analyticity and to argue that, like “Hesperus is Hesperus”, “Hesperus is Phosphorus” is analytic. In the paper, I also discuss several other unexpected cases of analytic truth like “Aristotle existed”.

In this paper, I argue against Millian Descriptivism: that is, the view that, although sentences that contain names express singular propositions, when they use those sentences speakers communicate descriptive propositions. More precisely, I argue that Millian Descriptivism fares no better (or worse) than Fregean Descriptivism: that is, the view that sentences express descriptive propositions. This is bad news for Millian Descriptivists who think that Fregean Descriptivism is dead.

E. E. Constance Jones was one of the first women to study philosophy at the University of Cambridge. This paper focuses on her claim from her first major work, Elements of Logic as a Science of Propositions, that each thing has a unique existence. Jones’s claim follows from claims about tropes and haecceities; but, I suggest, it’s not claims about tropes and haecceities that lead her to accept it. Rather, I suggest, it’s claims about what she calls the denomination of (...) names and the quantitiveness of things that lead her to accept it. Her claim that each thing has a unique existence thus fits within her more general views in Elements of Logic. (shrink)

It is well known that experts’ opinion and testimony take on a decisive weight in judicial fact-finding, raising issues and perplexities that have long been under scholarly scrutiny. In this paper I argue that expert’s opinions have a much wider impact on legal decision-making. In particular, they may generate a problem that I will call ‘the opacity of law’. A legal text, such as a statute or regulation, becomes opaque if a legal authority is not able to grasp its full (...) linguistic content but is nevertheless in a position to use it, thanks to an expert’ opinion, in legal decision-making. When this occurs, not only do experts contribute to fact-finding but also to determining the content of the law. In the paper I analyse the linguistic and cognitive sources of this phenomenon, its characteristics and troublesome consequences, and the different kinds of opacity that may affect legal decision-making. (shrink)

Philosophy and Phenomenological Research, EarlyView.

The causal theory of reference (CTR) provides a well-articulated and widely-accepted account of the reference relation. On CTR the reference of a term is fixed by whatever property causally regulates the competent use of that term. CTR poses a metaethical challenge to realists by demanding an account of the properties that regulate the competent use of normative predicates. CTR might pose a challenge to ethical theorists as well. Long argues that CTR entails the falsity of any normative ethical theory. First-order (...) theory attempts to specify what purely descriptive property is a fundamental right-making property (FRM). Long contends that the notion that the FRM causally regulates competent use of the predicate ‘right’ leads to a reductio. The failure of this argument is nevertheless instructive concerning a point at which ethics and metaethics overlap. (shrink)

This article compares the ability to track individuals lacking mental states with the ability to track intentional agents. It explains why reference to individuals raises the problem of explaining how cognitive agents track unique individuals and in what sense reference is based on procedures of perceptual-motor and epistemic tracking. We suggest applying the notion of singular-files from theories in perception and semantics to the problem of tracking intentional agents. In order to elucidate the nature of agent-files, three views of the (...) relation between object- and agent-tracking are distinguished: the Independence, Deflationary and Organism-Dependence Views. The correct view is argued to be the latter, which states that perceptual and epistemic tracking of a unique human organism requires tracking both its spatio-temporal object-properties and its agent-properties. (shrink)

The meaning of most words in language depends on their context. Understanding how the human brain extracts contextualized meaning, and identifying where in the brain this takes place, remain important scientific challenges. But technological and computational advances in neuroscience and artificial intelligence now provide unprecedented opportunities to study the human brain in action as language is read and understood. Recent contextualized language models seem to be able to capture homonymic meaning variation (“bat”, in a baseball vs. a vampire context), as (...) well as more nuanced differences of meaning—for example, polysemous words such as “book”, which can be interpreted in distinct but related senses (“explain a book”, information, vs. “open a book”, object) whose differences are fine‐grained. We study these subtle differences in lexical meaning along the concrete/abstract dimension, as they are triggered by verb‐noun semantic composition. We analyze functional magnetic resonance imaging (fMRI) activations elicited by Italian verb phrases containing nouns whose interpretation is affected by the verb to different degrees. By using a contextualized language model and human concreteness ratings, we shed light on where in the brain such fine‐grained meaning variation takes place and how it is coded. Our results show that phrase concreteness judgments and the contextualized model can predict BOLD activation associated with semantic composition within the language network. Importantly, representations derived from a complex, nonlinear composition process consistently outperform simpler composition approaches. This is compatible with a holistic view of semantic composition in the brain, where semantic representations are modified by the process of composition itself. When looking at individual brain areas, we find that encoding performance is statistically significant, although with differing patterns of results, suggesting differential involvement, in the posterior superior temporal sulcus, inferior frontal gyrus and anterior temporal lobe, and in motor areas previously associated with processing of concreteness/abstractness. (shrink)

In “Real Patterns” Daniel Dennett developed an argument about the reality of beliefs on the basis of an analogy with patterns and noise. Here I develop Dennett’s analogy into an argument for descriptivism, the view that belief reports do no specify belief contents but merely describe what someone believes, and show that this view is also supported by empirical evidence. No description can do justice to the richness and specificity or “noisiness” of what someone believes, and the same belief can (...) be described by different sentences or propositions (which is illustrated by Dennett’s analogy, some Gettier cases, and Frege’s puzzle), but in some contexts some of these competing descriptions are misleading or even false. Faithful (or truthful) description must be guided by a principle (or principles) related to the principle of charity: belief descriptions should not attribute irrationality to the believer or have other kinds of “deviant” implications. (shrink)

This paper identifies a tension in Frege’s philosophy and offers a diagnosis of its origins. Frege’s Context Principle can be used to dissolve the problem of propositional unity. However, Frege’s official response to the problem does not invoke the Context Principle, but the distinction between ‘saturated’ and ‘unsaturated’ propositional constituents. I argue that such a response involves assumptions that clash with the Context Principle. I suggest, however, that this tension is not generated by deep-seated philosophical commitments, but by Frege’s occasional (...) attempt to take a dubious shortcut in the justification of his conception of propositional structure. (shrink)