By the beginning of the 19th century Hegel's dialectic turned contradiction (conceived as unity of a concept with its determined negation) into distinguished inference. In the course of 20th century a family of systems known as "paraconsistent" formalized dialectical logic according to the contemporary paradigm of inference, oriented to truth-preserving, and not powered anymore solely by contradiction. In this way, nevertheless, Hegel's idea of logic as unfolding of concepts ordered by degree of "determination" reached at every step of the process, (...) was put aside. We attempt to recover the importance of that idea for the hegelian concept of "logical necessity", pointing out in addition that it may well play the role of an order relation for dialectical inference. (shrink)

We propose a solution to the problem of logical omniscience in what we take to be its fundamental version: as concerning arbitrary agents and the knowledge attitude per se. Our logic of knowledge is a spin-off from a general theory of thick content, whereby the content of a sentence has two components: an intension, taking care of truth conditions; and a topic, taking care of subject matter. We present a list of plausible logical validities and invalidities for the (...) logic of knowledge per se for arbitrary agents, and isolate three explanatory factors for them: the topic-sensitivity of content; the fragmentation of knowledge states; the defeasibility of knowledge acquisition. We then present a novel dynamic epistemic logic that yields precisely the desired validities and invalidities, for which we provide expressivity and completeness results. We contrast this with related systems and address possible objections. (shrink)

The traditional possible-worlds model of belief describes agents as ‘logically omniscient’ in the sense that they believe all logical consequences of what they believe, including all logical truths. This is widely considered a problem if we want to reason about the epistemic lives of non-ideal agents who—much like ordinary human beings—are logically competent, but not logically omniscient. A popular strategy for avoiding logical omniscience centers around the use of impossible worlds: worlds that, in one way or another, (...) violate the laws of logic. In this paper, we argue that existing impossible-worlds models of belief fail to describe agents who are both logically non-omniscient and logically competent. To model such agents, we argue, we need to ‘dynamize’ the impossible-worlds framework in a way that allows us to capture not only what agents believe, but also what they are able to infer from what they believe. In light of this diagnosis, we go on to develop the formal details of a dynamic impossible-worlds framework, and show that it successfully models agents who are both logically non-omniscient and logically competent. (shrink)

This paper examines the evolution of Husserl’s philosophy of nonintuitive intentions. The analysis has two stages. First, I expose a mistake in Husserl’s account of non-intuitive acts from his 1901 Logical Investigations. I demonstrate that Husserl employs the term “signitive” too broadly, as he concludes that all non-intuitive acts are signitive. He states that not only meaning acts, but also the contiguity intentions of perception are signitive acts. Second, I show how Husserl, in his 1913/14 Revisions to the Sixth (...) Logical Investigation, amends his 1901 theory of non-intuitive acts, which he now calls “empty” intentions. He there accurately distinguishes empty meaning acts from the empty intentions of perception. In the conclusion, I reveal how Husserl’s alterations to his theory of non-intuitive intentions can inform our understanding of a larger shift in his philosophy. (shrink)

In this paper I discuss a prevailing view by which logical terms determine forms of sentences and arguments and therefore the logical validity of arguments. This view is common to those who hold that there is a principled distinction between logical and nonlogical terms and those holding relativistic accounts. I adopt the Tarskian tradition by which logical validity is determined by form, but reject the centrality of logical terms. I propose an alternative framework for logic (...) where logical terms no longer play a distinctive role. This account employs a new notion of semantic. (shrink)

In appearance, Husserl’s writings seem not to have had any influence on linguistic research, nor does what the German philosopher wrote about language seem to be worth a place in the history of linguistics. The purpose of the paper is exactly to contrast this view, by reassessing both the position and the role of Husserl’s early masterpiece — the Logical Investigations — within the history of linguistics. To this end, I will focus mainly on the third (On the theory (...) of wholes and parts) and fourth (The distinction between independent and non-independent meanings) Investigations, paying special attention to Husserl’s mereology and to the idea of a general pure grammar. The paper tries to situate the third and fourth Logical Investigation within the general context of late nineteenth-century and early twentieth-century linguistics and furthermore attempts to show the historical and theoretical importance of the Logical Investigations for the birth and the development of one of the most important linguistic “schools” of the twentieth century, namely structural linguistics. (shrink)

This paper discusses critically what simulation models of the evolution ofcooperation can possibly prove by examining Axelrod’s “Evolution of Cooperation” and the modeling tradition it has inspired. Hardly any of the many simulation models of the evolution of cooperation in this tradition have been applicable empirically. Axelrod’s role model suggested a research design that seemingly allowed to draw general conclusions from simulation models even if the mechanisms that drive the simulation could not be identified empirically. But this research design was (...) fundamentally flawed, because it is not possible to draw general empirical conclusions from theoretical simulations. At best such simulations can claim to prove logical possibilities, i.e. they prove that certain phenomena are possible as the consequence of the modeling assumptions built into the simulation, but not that they are possible or can be expected to occur in reality I suggest several requirements under which proofs of logical possibilities can nevertheless be considered useful. Sadly, most Axelrod-style simulations do not meet these requirements. I contrast this with Schelling’s neighborhood segregation model, thecore mechanism of which can be retraced empirically. (shrink)

In this paper, I consider Sterba’s recent criticism of skeptical theism in context of his argument from evil. I show that Sterba’s criticism of skeptical theism shares an undesirable trait with all past criticisms of skeptical theism: it fails. This is largely due to his focus on causal connections and his neglect of logical connections. Because of this, his argument remains vulnerable to skeptical theism.

It has recently been argued that a person’s moral judgments (about both their own and others’ actions) are constrained by the nature and extent of their relevant ignorance and, thus, that such judgments are determined in the first instance by the person’s epistemic circumstances. It has been argued, in other words, that the epistemic is logically prior to other normative (e.g., ethical, prudential, pecuniary) considerations in human decision-making, that these other normative considerations figure in decision-making only after (logically and temporally) (...) relevant ignorance has constrained the decision-maker’s menu of options. If this is right, then a person’s moral judgments in some set of circumstances should vary with their knowledge and ignorance of these circumstances. In this study, we test the hypothesis of the logical priority of the epistemic. We describe two experiments in which subjects’ knowledge and ignorance of relevant consequences were manipulated. In the second experiment, we also compared the effect of ignorance on moral judgments with that of personal force, a factor previously shown to influence moral judgments. We found broad empirical support for the armchair arguments that epistemic considerations are logically prior to normative considerations. (shrink)

Anti-exceptionalism about logic is the thesis that logic is not special. In this paper, I consider, and reject, a challenge to this thesis. According to this challenge, there are basic logical principles, and part of what makes such principles basic is that they are epistemically exceptional. Thus, according to this challenge, the existence of basic logical principles provides reason to reject anti-exceptionalism about logic. I argue that this challenge fails, and that the exceptionalist positions motivated by it are (...) thus unfounded. I make this case by disambiguating two senses of ‘basic’ and showing that, once this disambiguation is taken into account, the best reason we have for thinking that there are basic principles actually implies that those principles do not require a special epistemology. Consequently, the existence of basic logical principles provides reason to accept, rather than reject, anti-exceptionalism concerning the epistemology of logic. I conclude by explaining how an abductivist, anti-exceptionalist approach to the epistemology of logic can accommodate the notion of basic logical principles. (shrink)

Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager’s doctrinal paradox and List and Pettit’s discursive dilemma, two problems that we distinguish emphatically here. The current theory has developed from the discursive dilemma, rather than the doctrinal paradox, and the final objective of the paper is to give the (...) latter its own theoretical development along the line of recent work by Dietrich and Mongin. However, the paper also aims at reviewing logical aggregation theory as such, and it covers impossibility theorems by Dietrich, Dietrich and List, Dokow and Holzman, List and Pettit, Mongin, Nehring and Puppe, Pauly and van Hees, providing a uniform logical framework in which they can be compared with each other. The review goes through three historical stages: the initial paradox and dilemma, the scattered early results on the independence axiom, and the so-called canonical theorem, a collective achievement that provided the theory with its specific method of analysis. The paper goes some way towards philosophical logic, first by briefly connecting the aggregative framework of judgment with the modern philosophy of judgment, and second by thoroughly discussing and axiomatizing the ‘general logic’ built in this framework. (shrink)

This paper accomplishes three goals. First, the essay demonstrates that Edmund Husserl’s theory of meaning consciousness from his 1901 Logical Investigations is internally inconsistent and falls apart upon closer inspection. I show that Husserl, in 1901, describes non-intuitive meaning consciousness as a direct parallel or as a ‘mirror’ of intuitive consciousness. He claims that non-intuitive meaning acts, like intuitions, have substance and represent their objects. I reveal that, by defining meaning acts in this way, Husserl cannot account for our (...) experiences of countersensical, absurd, or impossible meanings. Second, I examine how Husserl came to recognize this 1901 mistake in his 1913/14 Revisions to the Sixth Logical Investigation. I discuss how he accordingly reformulates his understanding of non-intuitive meaning acts from the ground up in those Revisions, where this also allows for him to properly account for the experience of impossible meanings. Instead of describing them as mirrors of intuitions, Husserl takes non-intuitive meaning acts to be modifications of intuitions, where they have no substance and do not represent their objects. Finally, in the conclusion to this essay, I demonstrate how this fundamental change to his understanding of meaning consciousness forced Husserl to revise other central tenets of his philosophy, such that the trajectory of his thought can only be properly understood in light of these revisions to his theory of non-intuitive meaning consciousness. (shrink)

According to a theorem recently proved in the theory of logical aggregation, any nonconstant social judgment function that satisfies independence of irrelevant alternatives (IIA) is dictatorial. We show that the strong and not very plausible IIA condition can be replaced with a minimal independence assumption plus a Pareto-like condition. This new version of the impossibility theorem likens it to Arrow’s and arguably enhances its paradoxical value.

The aim of this paper is to discuss the “Austro-American” logical empiricism proposed by physicist and philosopher Philipp Frank, particularly his interpretation of Carnap’s Aufbau, which he considered the charter of logical empiricism as a scientific world conception. According to Frank, the Aufbau was to be read as an integration of the ideas of Mach and Poincaré, leading eventually to a pragmatism quite similar to that of the American pragmatist William James. Relying on this peculiar interpretation, Frank intended (...) to bring about a rapprochement between the logical empiricism of the Vienna Circle in exile and American pragmatism. In the course of this project, in the last years of his career, Frank outlined a comprehensive, socially engaged philosophy of science that could serve as a “link between science and philosophy”. (shrink)

This essay critically assesses Roman Ingarden’s 1915 review of the second edition of Edmund Husserl’s Logical Investigations. I elucidate and critique Ingarden’s analysis of the differences between the 1901 first edition and the 1913 second edition. I specifically examine three tenets of Ingarden’s interpretation. First, I demonstrate that Ingarden correctly denounces Husserl’s claim that he only engages in an eidetic study of consciousness in 1913, as Husserl was already performing eidetic analyses in 1901. Second, I show that Ingarden is (...) misguided, when he asserts that Husserl had fully transformed his philosophy into a transcendental idealism in the second edition. While Husserl does appear to adopt a transcendental phenomenology by asserting–in his programmatic claims–that the intentional content and object are now included in his domain of research, he does not alter his actual descriptions of the intentional relationship in any pertinent manner. Third, I show Ingarden correctly predicts many of the insights Husserl would arrive at about logic in his late philosophy. This analysis augments current readings of the evolution of Ingarden’s philosophy, by more closely examining the development of his largely neglected early thought. I execute this critical assessment by drawing both from Husserl’s later writings and from recent literature on the Investigations. By doing so, I hope to additionally demonstrate how research on the Investigations has matured in the one hundred years since the release of that text, while also presenting my own views concerning these difficult interpretative issues. (shrink)

This paper offers a more comprehensive and accurate picture of Edmund Husserl’s semiotics. I not only clarify, as many have already done, Husserl’s theory of signs from the 1901 Logical Investigations, but also examine how he transforms that element of his philosophy in the 1913/14 Revisions to the Sixth Logical Investigation. Specifically, the paper examines the evolution of two central tenets of Husserl’s semiotics. I first look at how he modifies his classification of signs. I disclose why he (...) revised his 1901 distinction between indicators and expressions, instead claiming in 1913/14 that the divisions should be drawn between indicators, signals, and categorial signs. Second, I elucidate why Husserl overturned his conclusion from the Investigations, that signs execute their signitive operations in three steps, because he recognizes that categorial signs and their meant object are experienced all at once. By exploring the transformation of these two tenets of Husserl’s semiotics, we will see that he conceived of the First Investigation only as a starting or jumping off point for future analyses of signitive experience, rather than as his final account. This analysis will further reveal novel insights about Husserl’s understanding of intersubjectivity, passivity, and temporality. (shrink)

It has been argued recently that classical theism and Lewisian modal realism are incompatible theses. The most substantial argument to this effect takes the form of a trilemma. It argues that no sense can be made of God’s being a necessary being in the modal realistic picture, on pain of, among other things, modal collapse. The question of this essay is: Is that so? My goal here is to detail the reasons that have been offered in support of this contention (...) and then defend the coherence of theistic modal realism from the trilemma. I call my reply to the argument an “Anselmian-Thomistic” defense, since it appeals to resources from classical medieval philosophy, especially from Anselm and Aquinas. (shrink)

Recent work on Austrian philosophy has revealed, hitherto, unsuspected links between Vienna circle positivism on the one hand, and the thought of Franz Brentano and his circle on the other. the paper explores these links, casting light also on the Polish analytic movement, on the development of gestalt psychology, and on the work of Schlick and Neurath.

In the last decade Human-Computer Interaction (HCI) has started to focus attention on forms of persuasive interaction where computer technologies have the goal of changing users behavior and attitudes according to a predefined direction. In this work, we hypothesize a strong connection between logical fallacies (forms of reasoning which are logically invalid but cognitively effective) and some common persuasion strategies adopted within web technologies. With the aim of empirically evaluating our hypothesis, we carried out a pilot study on a (...) sample of 150 e-commerce websites. (shrink)

In the core chapters 4–6, Iacona (2018) argues against the “Uniqueness Thesis” (UT), stating that “there is a unique notion of logical form that fulfils both the logical role and the semantic role” (39), where the former “concerns the formal explanation of logical properties and logical relations, such as validity or contradiction” (37), and the latter “concerns the formulation of a compositional theory of meaning” (ibid.). He argues for this on the basis of relations of coreference (...) among referential expressions, names and indexicals. From what I take to be a fundamental agreement on most relevant issues, here I will nonetheless press him to clarify the notions of intrinsicness and the logical and semantic role of logical form on which he relies. (shrink)

What are people who disagree about logic disagreeing about? The paper argues that (in a wide range of cases) they are primarily disagreeing about how to regulate their degrees of belief. An analogy is drawn between beliefs about validity and beliefs about chance: both sorts of belief serve primarily to regulate degrees of belief about other matters, but in both cases the concepts have a kind of objectivity nonetheless.

In this paper, I consider the role of perspective in Hegel’s metaphysics, and in particular the role that multiple perspectives play within the ultimate structure in Hegel’s metaphysics, which Hegel calls ‘the idea [die Idee].’ My (somewhat anachronistic) way into this topic will be to inquire about Hegel’s stance on what Adrian Moore has called ‘absolute representations.’ I argue for the claim that perspective is maintained, even in the absolute idea, which generates the task of understanding the nature of that (...) perspective and its compatibility with absoluteness. I attempt to accomplish this task by asking what a logical perspective could be, and how it might be related to visual perspective. Then I inquire into the relation that perspectives have to each other, i.e., to the system of perspectives. I construe those relations in reciprocal and dynamic terms, so that absoluteness takes the form of a structured round of perspectives rather than a relation to reality “once and for all”. (shrink)

The paper argues against a commitment to metaphysical necessity, semantic modalities are enough. The best approaches to elucidate the semantic modalities are (still) versions of lingustic ersatzism and fictionalism, even if only developed in parts. Within these necessary properties and the difference between natural and semantic laws can be accounted for. The proper background theory for this is an updated version of Logical Empiricism, which is congenial to recent trends in Structural Realism. The anti-metaphysical attitude of Logical Empiricism (...) deserves revitalization. Another target besides metaphysical necessity are substantial forms of iterated modalities, as used, for instance, in the philosophy of religion. (shrink)

J. L. Schellenberg, in “A New Logical Problem of Evil,” published in The Blackwell Companion to the Problem of Evil, argues that (if God exists) God has, of necessity, a disappreciation of evil, operating at a metalevel in such a way as to give God a non-defeasible reason to rule out actualizing a world containing evil. He also argues that since God’s motive in creating the world is to share with finite beings the good that God experiences prior to (...) creation, which is good without evil, it follows that God will create a world that contains no evil. I investigate in detail the foregoing lines of argument and provide grounds for rejecting them. My paper is published in Vol 38 No.2, whose date is nominally April 2021 although the issue is not in fact available yet. (shrink)

This paper is partly inspired by a well-known debate between Ruth Barcan Marcus, Terence Parsons and W. V. 0. Quine in the sixties> concerning the extent to which Quantified Modal Logic is committed to Essentialism; the issue nevertheless goes back to the origins of "analytic philosophy'', to the reflections of Frege, Russell, and the earlier Wittgenstein on the nature of logic. By elaborating on a suggestion by Quine, we purport to show that there is a relevant and interesting way to (...) look at the ontological commitments of logical systems such that they are stronger than they are usually taken to be. (shrink)

The notion of a partition on a set is mathematically dual to the notion of a subset of a set, so there is a logic of partitions dual to Boole's logic of subsets (Boolean logic is usually mis-specified as "propositional" logic). The notion of an element of a subset has as its dual the notion of a distinction of a partition (a pair of elements in different blocks). Boole developed finite logical probability as the normalized counting measure on elements (...) of subsets so there is a dual concept of logical entropy which is the normalized counting measure on distinctions of partitions. Thus the logical notion of information is a measure of distinctions. Classical logical entropy naturally extends to the notion of quantum logical entropy which provides a more natural and informative alternative to the usual Von Neumann entropy in quantum information theory. The quantum logical entropy of a post-measurement density matrix has the simple interpretation as the probability that two independent measurements of the same state using the same observable will have different results. The main result of the paper is that the increase in quantum logical entropy due to a projective measurement of a pure state is the sum of the absolute squares of the off-diagonal entries ("coherences") of the pure state density matrix that are zeroed ("decohered") by the measurement, i.e., the measure of the distinctions ("decoherences") created by the measurement. (shrink)

This interesting and imaginative monograph is based on the author’s PhD dissertation supervised by Saul Kripke. It is dedicated to Timothy Smiley, whose interpretation of PRIOR ANALYTICS informs its approach. As suggested by its title, this short work demonstrates conclusively that Aristotle’s syllogistic is a suitable vehicle for fruitful discussion of contemporary issues in logical theory. Aristotle’s syllogistic is represented by Corcoran’s 1972 reconstruction. The review studies Lear’s treatment of Aristotle’s logic, his appreciation of the Corcoran-Smiley paradigm, and his (...) understanding of modern logical theory. In the process Corcoran and Scanlan present new, previously unpublished results. Corcoran regards this review as an important contribution to contemporary study of PRIOR ANALYTICS: both the book and the review deserve to be better known. (shrink)

This paper illustrates what a philosophical and a logical investigation of colors amounts to in contrast to other kinds of color analysis such as physical, physiological, chemical, psychological or cultural analysis of colors. Neither a philosophical nor a logical analysis of colors is concerned with specific aspects of colors. Rather, these kinds of color analysis are concerned with what one might call “logical foundations of color theory”. I will illustrate this first by considering philosophical and then (...) class='Hi'>logical analysis of colors. (shrink)

According to Thagard, the behavior of practitioners of a field may also be used for demarcation between science and pseudoscience due to its social dimension in addition to the epistemic one. I defended the tendency of pseudoscientists to commit fallacies, and the number of fallacies they commit can be a secondary tool for demarcation problem and this tool is consistent with Thagardian approach. In this paper, I selected the astrology as the case and I revealed nine types of logical (...) fallacies frequently committed by astrologers while introducing their field and/or defending their claims against the scientific inquiries and refutation efforts. I also argued that recognizing these fallacies may help the audience to demarcate between the scientific and the pseudoscientific arguments. (shrink)

This paper replies to Himmelreich's ‘The Paraphrase Argument Against Collective Actions’ [2017], which presents three putative counterexamples to the multiple agents analysis of plural action sentences. The paper shows that the argument from the first example, the discursive dilemma, fails because it relies crucially on a simplification of the target analysis, and that the others don't bear on the question because they turn out on examination to be about individual rather than group action sentences.

When some P implies some Q, this should have some impact on what attitudes we take to P and Q. In other words: logical consequence has a normative import. I use this idea, recently explored by a number of scholars, as a stepping stone to a bolder view: that relations of logical consequence can be identified with norms on our propositional attitudes, or at least that our talk of logical consequence can be explained in terms of such (...) norms. I investigate the prospects of such a cognitive norm account of logical consequence. I go over the challenges involved in finding a plausible bridge principle connecting logical consequence to cognitive norms, in particular a biconditional principle that gives us not only necessary but sufficient conditions for logical consequence in terms of norms on propositional attitudes. Then, on the assumption that an adequate norm can be found, I consider what the philosophical merits of such a cognitive norm account would be, and what theoretical commitments it would generate. (shrink)

Expressivism in logic is the view that logical vocabulary plays a primarily expressive role: that is, that logical vocabulary makes perspicuous in the object language structural features of inference and incompatibility (Brandom, 1994, 2008). I present a precise, technical criterion of expressivity for a logic (§2). I next present a logic that meets that criterion (§3). I further explore some interesting features of that logic: first, a representation theorem for capturing other logics (§3.1), and next some novel (...) class='Hi'>logical vocabulary for expressing structural features of inference (§4). (shrink)

According to EJ Lowe, diachronic necessity and synchronic necessity are logically independent. Diachronic possibility concerns what could happen to an object over time and therefore concerns future possibilities for that object given its past history. Synchronic possibility concerns what is possible for an object in the present or at a past present moment. These are logically independent, given certain assumptions. While it may true that because I am 38, it is impossible diachronically for me to be 30 (at least once (...) we restrict the degree of relevant possibility), it is possible, given that at some point in the past, I may have been conceived slightly earlier than I was, that I am now 37. Likewise, it is possible diachronically for me to be somewhere other than where I am, but given that one object cannot be in different places at the same time, it is impossible for me now to be somewhere other than where I am, and this is true at each past point in my history too. There are, then, two axis upon which to distinguish what is and is not possible: tensed possibilities and possibilities of degree, which include nomic, metaphysical, and logical necessities, among others. I examine the interactions between these possibilities and I come to the conclusion that logical necessity is not in fact logical necessity simpliciter. Whether something is logically necessary depends upon tensed possibilities. I argue that while synchronic logical necessity entails diachronic logical necessity, the reverse entailment does not hold. I explore the consequences of this for certain philosophical debates in semantics including the concept of rigid designation, and descriptive names. (shrink)

In Appearance and Explanation, McCain and Moretti propose a novel internalist account of epistemic justification called phenomenal explanationism, which combines phenomenal conservatism and explanationism. I argue that the current version of phenomenal explanationism faces a dilemma: either it omits the awareness requirement but implies an implausible form of logical-mathematical omniscience, or it preserves the requirement but leads to a vicious regress. I suggest how phenomenal explanationism might be revised to avoid this dilemma.

There are two ways of thinking about instants of time: "spatial" accounts emphasize the similarities between instants and places; "modal" accounts focus on the parallels between times and possible worlds. My aim in this paper is to draw attention to one respect in which times are more similar to possible worlds than they are to places.

This paper proposes substitutional definitions of logical truth and consequence in terms of relative interpretations that are extensionally equivalent to the model-theoretic definitions for any relational first-order language. Our philosophical motivation to consider substitutional definitions is based on the hope to simplify the meta-theory of logical consequence. We discuss to what extent our definitions can contribute to that.

Traditionally, pronouns are treated as ambiguous between bound and demonstrative uses. Bound uses are non-referential and function as bound variables, and demonstrative uses are referential and take as a semantic value their referent, an object picked out jointly by linguistic meaning and a further cue—an accompanying demonstration, an appropriate and adequately transparent speaker’s intention, or both. In this paper, we challenge tradition and argue that both demonstrative and bound pronouns are dependent on, and co-vary with, antecedent expressions. Moreover, the semantic (...) value of a pronoun is never determined, even partly, by extra-linguistic cues; it is fixed, invariably and unambiguously, by features of its context of use governed entirely by linguistic rules. We exploit the mechanisms of Centering and Coherence theories to develop a precise and general meta-semantics for pronouns, according to which the semantic value of a pronoun is determined by what is at the center of attention in a coherent discourse. Since the notions of attention and coherence are, we argue, governed by linguistic rules, we can give a uniform analysis of pronoun resolution that covers bound, demonstrative, and even discourse bound readings. Just as the semantic value of the first-person pronoun ‘I’ is conventionally set by a particular feature of its context of use—namely, the speaker—so too, we will argue, the semantic values of other pronouns, including ‘he’, are conventionally set by particular features of the context of use. (shrink)

According to Aristotle if a universal proposition (for example: “All men are white”) is true, its contrary proposition (“All men are not white”) must be false; and, according to Aristotle, if a universal proposition (for example: “All men are white”) is true, its contradictory proposition (“Not all men are white”) must be false. I agree with what Aristotle wrote about universal propositions, but there are universal propositions which have no contrary proposition and have no contradictory proposition. The proposition X “All (...) the propositions that contradict this proposition are true” does not have the contrary proposition and does not have the contradictory proposition. In fact: FEX “All the propositions that contradict this proposition are not true” has a different subject: the subject of the proposition X is constituted by all the propositions that contradict the proposition X; by contrast, the subject of the proposition FEX is constituted by all the propositions that contradict the proposition FEX. And FOX “Not all the propositions that contradict this proposition are true” has a different subject: the subject of the proposition X is constituted by the propositions that contradict the proposition X; by contrast, the subject of the proposition FOX is constituted by the propositions that contradict the proposition FOX. According to Aristotle, a singular proposition (in his example: "Socrates is white") which is true must have its negative proposition ("Socrates is not white") which is false. I agree with Aristotle, but there are singular propositions which do not have the corresponding negative proposition. The proposition (or, rather, the pseudo-proposition) L “This same statement is not true” does not have the negative proposition because the proposition FNL “This same statement is true” has a different subject from the subject of the proposition L: the subject of the proposition L is the proposition L; by contrast, the subject of the proposition FNL is the proposition FNL. L and FNL cannot have the same subject. By contrast, the proposition M “This mount is entirely in Swiss territory” and the proposition NM “This mount is not entirely in Swiss territory” can have the same subject (for example, the Mount Eiger): in case the subject of the proposition M and the subject of the proposition NM is the same, M and NM are opposite propositions, NM is the negative proposition of M. By contrast, the proposition (or, rather, the pseudo-proposition) L "This same statement is not true" cannot have the corresponding negative proposition because FNL "This same statement is true" has a different subject: the subject of L is L ; by contrast, the subject of FNL is FNL. Then the paper continues by analyzing some variants of the liar’s paradox: L1 “The statement L1 is not true”; the so-called liar cycle; and the so-called Yablo’s paradox. (shrink)

This is an Editorial Note for the special volume of the journal Manuscrito (42: 4) devoted to Aristotle's theory of demonstration and its logical and metaphysical entanglements, which has been organized by me and Breno Zuppolini (as Guest Editors), with papers authored by Benjamin Morison, Owen Goldin, David Bronstein, Michail Peramatzis, Andrea Falcon, Laura Castelli, Paolo Fait, Joseph Karbowski, Adam Crager, Klaus Corcilius, Robert J. Hankinson, Raphael Zillig and Pieter Sjoerd Hasper.

In this essay I focus on the idea of the univocity of being, championed by Duns Scotus and given prominence more recently by Deleuze. Although I am interested in how this idea can be established, my primary concern is with something more basic: how the idea can even be properly thought. In the course of exploring this issue, which I do partly by borrowing some ideas about logical syntax from Wittgenstein's Tractatus, I try to show how there can be (...) dialogue between analytic philosophers and those of other traditions. (shrink)

Inquiry into the meaning of logical terms in natural language (‘and’, ‘or’, ‘not’, ‘if’) has generally proceeded along two dimensions. On the one hand, semantic theories aim to predict native speaker intuitions about the natural language sentences involving those logical terms. On the other hand, logical theories explore the formal properties of the translations of those terms into formal languages. Sometimes, these two lines of inquiry appear to be in tension: for instance, our best logical investigation (...) into conditional connectives may show that there is no conditional operator that has all the properties native speaker intuitions suggest if has. Indicative conditionals have famously been the source of one such tension, ever since the triviality proofs of both Lewis (1976) and Gibbard (1981) established conclusions which are in prima facie tension with ordinary judgments about natural language indicative conditionals. In a recent series of papers, Branden Fitelson has strengthened both triviality results (Fitelson 2013, 2015, 2016), revealing a common culprit: a logical schema known as IMPORT-EXPORT. Fitelson’s results focus the tension between the logical results and ordinary judgments, since IMPORT-EXPORT seems to be supported by intuitions about natural language. In this paper, we argue that the intuitions which have been taken to support IMPORT-EXPORT are really evidence for a closely related, but subtly different, principle. We show that the two principles are independent by showing how, given a standard assumption about the conditional operator in the formal language in which IMPORT-EXPORT is stated, many existing theories of indicative conditionals validate one, but not the other. Moreover, we argue that once we clearly distinguish these principles, we can use propositional anaphora to show that IMPORT-EXPORT is in fact not valid for natural language indicative conditionals (given this assumption about the formal conditional operator). This gives us a principled and independently motivated way of rejecting a crucial premise in many triviality results, while still making sense of the speaker intuitions which appeared to motivate that premise. We suggest that this strategy has broad application and an important lesson: in theorizing about the logic of natural language, we must pay careful attention to the translation between the formal languages in which logical results are typically proved, and natural languages which are the subject matter of semantic theory. (shrink)

How "red", "green" were defined? Through analyzing how two children with congenitally inverted color sensations corresponding to red flags and green grass accept their grand mothers’ teaching about colors, the paper get opposite conclusions against logical empiricism. The “red” and “green” and other names of properties of objects were defined by objective physical properties (or together with behavior, such as in defining “beauty”), instead our sensations. So language directly points to things in themselves passing through sensations and presentative world. (...) It is not that things in themselves are unknowable, but that sensations and presentative world cannot be exactly described by daily language. (shrink)

In this work, we propose a definition of logical consequence based on the relation between the quantity of information present in a particular set of formulae and a particular formula. As a starting point, we use Shannon‟s quantitative notion of information, founded on the concepts of logarithmic function and probability value. We first consider some of the basic elements of an axiomatic probability theory, and then construct a probabilistic semantics for languages of classical propositional logic. We define the quantity (...) of information for the formulae of these languages and introduce the concept of informational logical consequence, identifying some important results, among them: certain arguments that have traditionally been considered valid, such as modus ponens, are not valid from the informational perspective; the logic underlying informational logical consequence is not classical, and is at the least paraconsistent sensu lato; informational logical consequence is not a Tarskian logical consequence. (shrink)

This paper accomplishes two tasks. First, I examine in detail Edmund Husserl’s earliest philosophy of surrogates, as it is found in his 1890 “On the Logic of Signs ”. I analyze his psychological and logical investigations of surrogates, where the former is concerned with explaining how these signs function and the latter with how they do so reliably. His differentiation of surrogates on the basis of their genetic origins and degrees of necessity is discussed. Second, the historical importance of (...) this text is disclosed by showing how Semiotic serves as both the inspiration for, and the foil to, Husserl’s 1901 First Logical Investigation. Husserl not only adopts the idea that linguistic signs can function via association, but also maintains that such signs can motivate me to execute one of two experiences. The key difference between the texts is that Husserl abandons his theory of surrogates in 1901, instead holding that I can experience absent objects by means of empty intentions. The reasons why Husserl found it necessary to transform this tenet of his philosophy are discussed at length. (shrink)

Dutch Book Arguments (DBAs) have been invoked to support various requirements of rationality. Some are plausible: probabilism and conditionalization. Others are less so: credal transparency and reflection. Anna Mahtani has argued for a new understanding of DBAs which, she claims, allow us to keep the DBAs for probabilism (and perhaps conditionalization) and reject the DBAs for credal transparency and reflection. I argue that Mahtani’s new account fails as (a) it does not support highly plausible requirements of rational coherence and (b) (...) it does not, even setting aside the first objection, succeed in undermining the DBAs for credal transparency or reflection. (shrink)

This paper accomplishes two goals. First, the essay elucidates Husserl’s descriptions of meaning consciousness from the 1901 Logical Investigations. I examine Husserl’s observations about the three ways we can experience meaning and I discuss his conclusions about the structure of meaning intentions. Second, the paper explores how Husserl reworked that 1901 theory in his 1913/14 Revisions to the Sixth Investigation. I explore how Husserl transformed his descriptions of the three intentions involved in meaningful experience. By doing so, Husserl not (...) only recognized intersubjective communication as the condition of possibility of linguistic meaning acts, but also transformed his account of the structure of both signitive and intuitive acts. In the conclusion, I cash out this analysis, by showing how, on the basis of these new insights, Husserl reconstructs his theory of fulfillment. (shrink)

This has been made available gratis by the publisher. -/- This piece gives the raison d'etre for the development of the converters mentioned in the title. Three reasons are given, one linguistic, one philosophical, and one practical. It is suggested that at least /two/ independent converters are needed. -/- This piece ties together the extended paper "Abstracts from Logical Form I/II," and the short piece providing the comprehensive theory alluded to in the abstract of that extended paper in "Pragmatics, (...) Montague, and 'Abstracts from Logical Form'" by motivating the entire project from beginning to end. (shrink)

Analytic theologians have proposed numerous “solutions” to the Logical Problem of the Trinity (LPT), mostly versions of Social Trinitarianism (ST) and Relative Identity Trinitarianism (RI). Both types of solution are controversial, but many hold out hope that further “Trinitarian theorizing” may yield some as yet unimagined, and somehow importantly different, solution to the LPT. I first give a precise definition of the LPT and of what would count as a solution to it. I then show how, though there are (...) infinitely many possible solutions, all solutions can be grouped together into a finite, exhaustive taxonomy, based precisely on those features which make them either controversial, heretical, or inconsistent. The taxonomy reveals why ST and RI have been the major proposed solutions, and also proves that there can be no importantly different, new solutions to the LPT. (shrink)

Is a naturalistic account of reference possible? Here is a simple argument to the effect that it is not: Let R be the relation that allegedly naturalizes reference, and consider the predicate "being an object that does not stand in the relation R to this expression". Call this predicate "P". On the face of it, P is a counterexample to the alleged naturalization, since it appears to refer to all and only those objects that do not stand in the relation (...) R to it. Actually, an argument like this was advanced more than twenty years ago by the late Paolo Casalegno. Although for various reasons it has not been given due attention by the philosophical community, the argument is interesting in its structure and remarkable in its conclusion. In this paper I shall reconstruct it in detail and discuss it. Then, I shall show that the argument fails, since, contrary to what Casalegno claimed, under certain conditions P is paradoxical, hence not a referring expression. My rejection builds on the fundamental distinction between simple and compound expressions, namely on the compositional structure of natural languages. If I am right, whether any attempt at naturalizing reference that takes care of this distinction will succeed remains an open empirical question. (shrink)