In this paper it is shown how the DRT (Discourse Representation Theory) treatment of temporal anaphora can be formalized within a version of Montague Semantics that is based on classical type logic.

A logic is called higher order if it allows for quantification over higher order objects, such as functions of individuals, relations between individuals, functions of functions, relations between functions, etc. Higher order logic began with Frege, was formalized in Russell [46] and Whitehead and Russell [52] early in the previous century, and received its canonical formulation in Church [14].1 While classical type theory has since long been overshadowed by set theory as a foundation of mathematics, recent decades have shown remarkable (...) comebacks in the fields of mechanized reasoning (see, e.g., Benzm¨. (shrink)

This paper embeds the core part of Discourse Representation Theory in the classical theory of types plus a few simple axioms that allow the theory to express key facts about variables and assignments on the object level of the logic. It is shown how the embedding can be used to combine core analyses of natural language phenomena in Discourse Representation Theory with analyses that can be obtained in Montague Semantics.

The paper develops Lambda Grammars, a form of categorial grammar that, unlike other categorial formalisms, is non-directional. Linguistic signs are represented as sequences of lambda terms and are combined with the help of linear combinators.

The paper shows how ideas that explain the sense of an expression as a method or algorithm for finding its reference, preshadowed in Frege’s dictum that sense is the way in which a referent is given, can be formalized on the basis of the ideas in Thomason (1980). To this end, the function that sends propositions to truth values or sets of possible worlds in Thomason (1980) must be replaced by a relation and the meaning postulates governing the behaviour of (...) this relation must be given in the form of a logic program. The resulting system does not only throw light on the properties of sense and their relation to computation, but also shows circular behaviour if some ingredients of the Liar Paradox are added. The connection is natural, as algorithms can be inherently circular and the Liar is explained as expressing one of those. Many ideas in the present paper are closely related to those in Moschovakis (1994), but receive a considerably lighter formalization. (shrink)

In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general models and have a natural definition. As a class they do not validate the axiom of Extensionality. We give a cut-free sequent calculus for type theory and show completeness of this calculus with respect to the class of intensional models via a model existence theorem. After this we turn our attention to applications. Firstly, it (...) is argued that, since ITL is truly intensional, it can be used to model ascriptions of propositional attitude without predicting logical omniscience. In order to illustrate this a small fragment of English is defined and provided with an ITL semantics. Secondly, it is shown that ITL models contain certain objects that can be identified with possible worlds. Essential elements of modal logic become available within classical type theory once the axiom of Extensionality is given up. (shrink)

In this paper we consider the theory of predicate logics in which the principle of Bivalence or the principle of Non-Contradiction or both fail. Such logics are partial or paraconsistent or both. We consider sequent calculi for these logics and prove Model Existence. For L4, the most general logic under consideration, we also prove a version of the Craig-Lyndon Interpolation Theorem. The paper shows that many techniques used for classical predicate logic generalise to partial and paraconsistent logics once the right (...) set-up is chosen. Our logic L4 has a semantics that also underlies Belnap’s [4] and is related to the logic of bilattices. L4 is in focus most of the time, but it is also shown how results obtained for L4 can be transferred to several variants. (shrink)

There have been many discussions recently from philosophers, cognitive scientists, and psychologists about group polarization, with online and social media environments in particular receiving a lot of attention, both because of people's increasing reliance on such environments for receiving and exchanging information and because such environments often allow individuals to selectively interact with those who are like-minded. My goal here is to argue that the group epistemologist can facilitate understanding the kinds of factors that drive group polarization in a way (...) that has been overlooked by the existing research. Specifically, I argue that polarization can occur in part because of the ways that members of a group treat the group itself (as opposed to an individual member within that group) as a source of information, and in doing so makes their own position, as well as that of the group, more extreme. I refer to this as a structural factor in driving polarization, and argue that such factors can contribute to explanations of polarization that occurs specifically in an important subset of groups, namely online and social media groups in which little is known about other members within the group, what I refer to as anonymous, semi-anonymous and pseudonymous (ASAP) groups. (shrink)

Alan Hodgkin and Andrew Huxley used abductive reasoning to draw conclusions about the ionic basis of the action potential. Here we build on that initial proposal. First, we propose that Hodgkin and Huxley’s constitutive abductive reasoning has four features. Second, we argue that Hodgkin and Huxley are not alone in giving such arguments. Tolman, 1948, and Baumgartner, 1960, also gave such arguments. The implication is that such arguments are common enough in science that philosophers of science should pay more attention (...) to them. Third, we propose that constitutive abduction describes a method that scientists use to confirm constitutive hypotheses that is an alternative to the mutual manipulability approach that is familiar in the New Mechanist literature. (shrink)

In this chapter, we defend an explanationist version of proper functionalism. After explaining proper functionalism’s initial appeal, we note two major objections to proper functionalism: creatures with no design plan who appear to have knowledge (Swampman) and creatures with malfunctions that increase reliability. We then note how proper functionalism needs to be clarified because there are cases of what we call warrant-compatible malfunction. We then formulate our own view: explanationist proper functionalism, which explains the warrant-compatible malfunction cases and helps to (...) block the above objections. We also advance a positive argument for explanationist proper functionalism. (shrink)

In this paper we discuss a new perspective on the syntax-semantics interface. Semantics, in this new set-up, is not ‘read off’ from Logical Forms as in mainstream approaches to generative grammar. Nor is it assigned to syntactic proofs using a Curry-Howard correspondence as in versions of the Lambek Calculus, or read off from f-structures using Linear Logic as in Lexical-Functional Grammar (LFG, Kaplan & Bresnan [9]). All such approaches are based on the idea that syntactic objects (trees, proofs, fstructures) are (...) somehow prior and that semantics must be parasitic on those syntactic objects. We challenge this idea and develop a grammar in which syntax and semantics are treated in a strictly parallel fashion. The grammar will have many ideas in common with the (converging) frameworks of categorial grammar and LFG, but its treatment of the syntax-semantics interface is radically different. Also, although the meaning component of the grammar is a version of Montague semantics and although there are obvious affinities between Montague’s conception of grammar and the work presented here, the grammar is not compositional, in the sense that composition of meaning need not follow surface structure. (shrink)

A perennial problem in social epistemology is the problem of expert testimony, specifically expert testimony regarding scientific issues: for example, while it is important for me to know information pertaining to anthropogenic climate change, vaccine safety, Covid-19, etc., I may lack the scientific background required to determine whether the information I come across is, in fact, true. Without being able to evaluate the science itself, then, I need to find trustworthy expert testifiers to listen to. A major project in social (...) epistemology has thus become determining what the markers of trustworthiness are that laypersons can appeal to in order to identify and acquire information from expert testifiers. At the same time, the ways in which we acquire scientific information has changed significantly, with much of it nowadays being acquired in online environments. While much has been said about the potential pitfalls of seeking information online, little has been said about how the nature of seeking information online should make us think about the problem of expert testimony. Indeed, it seems to be an underlying assumption that good markers of trustworthiness apply equally well when seeking information from expert testifiers in online and offline environments alike, and that the new challenges and opportunities presented by online environments merely affects the methods by which we can acquire evidence of said trustworthiness. Here I argue that in making this assumption one risks failing to account for how unique features of the ways in which we acquire information online affect how we evaluate the trustworthiness of experts. Specifically, I argue for two main claims: first, that the nature of information-seeking online is such that the extent to which information is susceptible to manipulation is a dominant marker of trustworthiness; second, as a result, one will be more likely to seek out a particular kind of expert testifier in online environments, what I call a cooperative as opposed to preemptive expert. The result is that criteria for expert trustworthiness may look significantly different when acquiring information online as opposed to offline. (shrink)

Proponents of corporate moral responsibility take certain corporations to be capable of being responsible in ways that do not reduce to the responsibility of their members. If correct, one follow-up question concerns what leads corporations to fail to meet their obligations. We often fail morally when we know what we should do and yet fail to do it, perhaps out of incontinence, akrasia, or weakness of will. However, this kind of failure is much less discussed in the corporate case. And, (...) where it is discussed, the view is that corporations are less prone to weakness. Here, I argue that proponents of corporate responsibility should say that corporations can and often do instantiate weakness of the will, and that this is important to recognize. Weakness of the will requires certain capacities that these proponents typically take corporations to have. And once this is appreciated, we can assess how corporate weakness might proceed differently than how it does for individuals. We can also begin a conversation about how best to meet the distinctive challenges for recognizing and correcting corporate weakness, using a number of resources from management scholarship. (shrink)

This contribution focuses on three aspects of Nietzsche’s art of living that have become relevant today especially in the United States (but not only here): first, regarding some facets of the economic-political conditions of any contemporary art of living; second, the widespread adoption of Nietzsche’s notion of self-overcoming and artistic self-design in entrepreneurship and individual’s lives; and third, how his notion of ‘incorporation’ has been further developed in current approaches to habit design. Eventually I will show via the example of (...) Anthony Robbins that some notions of Nietzsche’s art of living have become most popular outside of academia, namely in the commercial industries of what has been called ‘self-growth’ or ‘self-development.’. (shrink)

Abstract: Proponents of the this-universe objection to fine-tuning arguments for a multiverse claim that while the multiverse hypothesis raises the probability that some universe is fine-tuned for life, it fails to raise the probability that this one is. Because that is so, they further argue, those who take the fine-tuning of this universe as evidence for the multiverse hypothesis are guilty of a probabilistic fallacy. I argue that a proper evaluation of the this-universe objection requires the development of a general, (...) formal framework for reasoning probabilistically with evidence statements expressed using indexical terms (such as the statement This universe is fine-tuned). I proceed to develop such a framework and then to apply it to the this-universe objection. While my primary aim is to defend the this-universe objection from recent rebuttals, a secondary aim is to exhibit the utility of the framework itself, which has the potential for wider application. (shrink)

Groups behave in a variety of ways. To show that this behavior amounts to action, it would be best to fit it into a general account of action. However, nearly every account from the philosophy of action requires the agent to have mental states such as beliefs, desires, and intentions. Unfortunately, theorists are divided over whether groups can instantiate these states—typically depending on whether or not they are willing to accept functionalism about the mind. But we can avoid this debate. (...) I show how a more general view of action captures what is central to action without mentioning mental states, and I argue that a group’s members can fulfill the role in group action that mental states play in our actions. Group behavior is explicable in terms of reasons, regardless of whether the group itself cognizes those reasons. After discussing the kind of reasons at issue and arguing that groups can act in light of them without minds, I assess how this account bears on the question of group responsibility. (shrink)

The ‘syntax’ and ‘combinatorics’ of my title are what Curry (1961) referred to as phenogrammatics and tectogrammatics respectively. Tectogrammatics is concerned with the abstract combinatorial structure of the grammar and directly informs semantics, while phenogrammatics deals with concrete operations on syntactic data structures such as trees or strings. In a series of previous papers (Muskens, 2001a; Muskens, 2001b; Muskens, 2003) I have argued for an architecture of the grammar in which finite sequences of lambda terms are the basic data structures, (...) pairs of terms syntax, semantics for example. These sequences then combine with the help of simple generalizations of the usual abstraction and application operations. This theory, which I call Lambda Grammars and which is closely related to the independently formulated theory of Abstract Categorial Grammars (de Groote, 2001; de Groote, 2002), in fact is an implementation of Curry’s ideas: the level of tectogrammar is encoded by the sequences of lambda-terms and their ways of combination, while the syntactic terms in those sequences constitute the phenogrammatical level. In de Groote’s formulation of the theory, tectogrammar is the level of abstract terms, while phenogrammar is the level of object terms. (shrink)

Die Erörterung über Zivilisationen und die Goldenen Regeln ist zentral ein sprachliches Projekt, das dazu dienen soll, eine angemessene Bedeutung und mittels dieser einen möglichen Bezug zu finden. Reinhard Matern sucht und entwickelt ein Kriterium, um zivilisierte von unzivilisierten Gesellschaften zu differenzieren und nutzt dabei die weltweit entstandenen Goldenen Regeln, die er im Plural anführt, weil sich die überlieferten Formulierungen konkret unterscheiden. Es sind jedoch nicht die Unterschiede, sondern es ist das Gemeinsame, das ihn auf dem Weg zu einem (...) allgemeinen Kriterium interessiert. -/- Primär im ersten Jahrtausend vor unserer Zeitrechnung werden Spruchweisheiten notiert, über deren Ursprünge nichts bekannt ist. Die Goldenen Regel erlauben gegenüber dem formalisierten Vergeltungsrecht eine grundsätzlich andere Herangehenweise an menschliches Verhalten, ist auf Gleichbehandlung ausgerichtet. Diese vergleichsweise moderne Haltung ermöglicht es, ein allgemeines Kriterium zu bilden. Empirisch ist Gleichbehandlung in heutigen Gesellschaften jedoch immer noch nicht vollzogen, eine Zivilisation deshalb noch nicht erlangt. -/- Zum Abschluss findet sich ein Ausblick, der eine Erweiterung der Perspektive aufgrund zukünftiger Entwicklungen anstrebt: die Integration von humanoiden Robotern. (shrink)

This essay investigates, via the concepts of the philosophy of orientation, Annie Duke’s decision-making theory in "Thinking in Bets" and scrutinizes as to what extent one can universalize the 'orientation skill' of decision-making with regard to our everyday and professional life.

In this paper it is shown how simple texts that can be parsed in a Lambek Categorial Grammar can also automatically be provided with a semantics in the form of a Discourse Representation Structure in the sense of Kamp [1981]. The assignment of meanings to texts uses the Curry-Howard-Van Benthem correspondence.

This chapter provides an explanation of precedent as a kind of artefact, in keeping with broader accounts of law that do so, specifically the author’s account of law as a genre of institutionalized abstract artefact. The chapter develops its explanation by responding to an argument by Dan Priel against seeing the common law as an artefact when understood to be a form of custom. The chapter shows that customs can themselves be artefacts but also that the precedential elements of common (...) law are not necessarily quite as customary as sometimes considered, showing that the common law built from precedents fits within a distributed design model of artefacts and that stare decisis has a wider systemic function of upholding certain rule of law principles. It ends with some considerations about the institutional nature of precedents, specifically that judicial decisions are most often both applications and developments of legal norms, but also determinations of legal validity. (shrink)

Nietzsche and Shaw are famous and infamous: famous for their innovative and influential forms of writing, but infamous for their apparent support of totalitarianism and Nazism. However, while it has long been shown that Nietzsche’s provocative language about “breeding” and “masters and slaves” was intended to enhance culture through competition, it is still an open question how and when Shaw supported biological eugenics. Via Nietzsche’s “philosophical breeding,” this article presents a new reading of Shaw’s Man and Superman: on the one (...) hand, it contrasts Nietzsche’s philosophical Übermensch with Shaw’s eugenic Superman; and on the other hand, it connects Nietzsche’s agonistic enhancement of culture with Shaw’s philosophical reflections in “Don Juan in Hell.” In contrast to Tanner’s support of eugenic breeding in his Revolutionist’s Handbook, Shaw’s Don Juan remarkably resembles Nietzsche’s notion of “philosophical breeding” toward a more competent, truthful, and autonomous orientation that is needed in increasingly complex global politics. (shrink)

My aesthetic judgements seem to make claims on you. While some popular accounts of aesthetic normativity say that the force of these claims is third-personal, I argue that it is actually second-personal. This point may sound like a bland technicality, but it points to a novel idea about what aesthetic judgements ultimately are and what they do. It suggests, in particular, that aesthetic judgements are motions in the collective legislation of the nature of aesthetic activity. This conception is recommended by (...) its ability to explain some important but otherwise recondite features of aesthetic practice and, more importantly, by allowing us to ground the normativity of aesthetic judgement in the familiar normativity of practice. It also offers a more systematic way of understanding the rivalry between the ideals of aesthetic universality and diversity. (shrink)

This paper introduces λ-grammar, a form of categorial grammar that has much in common with LFG. Like other forms of categorial grammar, λ-grammars are multi-dimensional and their components are combined in a strictly parallel fashion. Grammatical representations are combined with the help of linear combinators, closed pure λ-terms in which each abstractor binds exactly one variable. Mathematically this is equivalent to employing linear logic, in use in LFG for semantic composition, but the method seems more practicable.

ABSTRACT Although in recent years Christine Ladd-Franklin has received recognition for her contributions to logic and psychology, her role in late nineteenth- and early twentieth-century philosophy, as well as her relationship with American pragmatism, has yet to be fully appreciated. My goal here is to attempt to better understand Ladd-Franklin’s place in the pragmatist tradition by drawing attention to her work on the nature and unity of the proposition. The question concerning the unity of the proposition – namely, the problem (...) of how to determine what differentiates a mere collection of terms from a unified and meaningful proposition – received substantial attention in Ladd-Franklin’s time, and would continue to interest analytic philosophers well into the twentieth century. I argue that Ladd-Franklin had a distinct theory of the proposition and solution to the problem of the unity of the proposition that she developed over the course of her writings on logic and philosophy. In spelling out her views, I will also show her work interacted with and influenced that of the pragmatist who was her greatest influence, C.S. Peirce. (shrink)

Vector models of language are based on the contextual aspects of words and how they co-occur in text. Truth conditional models focus on the logical aspects of language, the denotations of phrases, and their compositional properties. In the latter approach the denotation of a sentence determines its truth conditions and can be taken to be a truth value, a set of possible worlds, a context change potential, or similar. In this short paper, we develop a vector semantics for language based (...) on the simply typed lambda calculus. Our semantics uses techniques familiar from the truth conditional tradition and is based on a form of dynamic interpretation inspired by Heim's context updates. (shrink)

There are two kinds of semantic theories of anaphora. Some, such as Heim’s File Change Semantics, Groenendijk and Stokhof’s Dynamic Predicate Logic, or Muskens’ Compositional DRT (CDRT), seem to require full coindexing of anaphora and their antecedents prior to interpretation. Others, such as Kamp’s Discourse Representation Theory (DRT), do not require this coindexing and seem to have an important advantage here. In this squib I will sketch a procedure that the first group of theories may help themselves to so that (...) they can interleave interpretation and coindexing in DRT’s way. (shrink)

In mathematical languages and in predicate logic coreferential terms can be interchanged in any sentence without altering the truth value of that sentence. Replacing 3 + 5 by 12 − 4 in any formula of arithmetic will never lead from truth to falsity or from falsity to truth. But natural languages are different in this respect. While in some contexts it is always allowed to interchange coreferential terms, other contexts do not admit this. An example of the first sort of (...) context is likes bananas: for any two coreferential noun phrases A and B the sentence A likes bananas is true if and only if B likes bananas is. A context that does not allow intersubstitution of coreferents is The Ancients knew that appears at dawn. If we fill the hole with the noun phrase the Morning Star we get the true (1a), while if we plug in the Evening Star we get the false (1b). Yet the Morning Star and the Evening Star both refer to the planet Venus and are thus coreferential. (shrink)

Ambiguities in natural language can multiply so fast that no person or machine can be expected to process a text of even moderate length by enumerating all possible disambiguations. A sentence containing $n$ scope bearing elements which are freely permutable will have $n!$ readings, if there are no other, say lexical or syntactic, sources of ambiguity. A series of $m$ such sentences would lead to $(n!)^m$ possibilities. All in all the growth of possibilities will be so fast that generating readings (...) first and testing their acceptability afterwards will not be feasible. -/- This insight has led a series of researchers to adopt a level of representation at which ambiguities remain unresolved. The idea here is not to generate and test many possible interpretations but to first generate one `underspecified' representation which in a sense represents all its complete specifications and then use whatever information is available to further specify the result. -/- One central hypothesis in the paper will be that the relation between an underspecified representation and its full representations is not so much the relation between one structure and a set of other structures but is in fact the relation between a description (a set of logical sentences) and its models. (shrink)

While social epistemologists have recently begun addressing questions about whether groups can possess beliefs or knowledge, little has yet been said about whether groups can properly be said to possess understanding. Here I want to make some progress on this question by considering two possible accounts of group understanding, modeled on accounts of group belief and knowledge: a deflationary account, according to which a group understands just in case most or all of its members understand, and an inflationary account, according (...) to which a group’s understanding does not depend solely on whether its members understand. I argue that both accounts face problems. The deflationary account has two such problems: aggregation problems that are familiar from discussions of group belief, and the problem of different bases, wherein members possess understanding for different but consistent reasons. The inflationary account faces what I call the problem of distributed grasping: while it is widely accepted that understanding requires a kind of “grasping”, it is hard to make sense of how this requirement could be met at the group level while not necessarily being met by any individual member. Despite its problems, I make a case for the inflationary account. This will require addressing the problem of distributed grasping: to do this, I propose a different way of thinking about the grasping relation at the group level, such that it is constituted by a dependency relationship between members. (shrink)

During the last years of his life, the mathematician Karl Menger worked on a biography of his father, the economist and founder of the Austrian School of Economics, Carl Menger. The younger Menger never finished the work. While working in the Menger collections at Duke University’s David M. Rubenstein Rare Book and Manuscript Library, we discovered draft chapters of the biography, a valuable source of information given that relatively little is known about Carl Menger’s life nearly a hundred years after (...) his death. The unfinished biography covers Carl Menger’s family background and his life through early 1889. In this article, we discuss the biography and the most valuable new insights it provides into Carl Menger’s life, including Carl Menger’s family, his childhood, his student years, his time working as a journalist and newspaper editor, his early scientific career, and his relationship with Crown Prince Rudolf. (shrink)

Emergence is typically discussed in the context of mental properties or the properties of the natural sciences, and accounts of emergence within these contexts tend to look a certain way. The emergent property is taken to emerge instantaneously out of, or to be proximately caused by, complex interaction of colocated entities. Here, however, I focus on the properties instantiated by the elements of certain systems discussed in social ontology, such as being a five-dollar bill or a pawn-movement, and I suggest (...) that these properties emerge in a distinctive way. They emerge in part because of a system that is far beyond and typically before the object that instantiates them. I characterize how emergence occurs in these cases, juxtaposing it with how emergence is typically discussed. I then consider whether their emergence is best framed as weak or strong as these notions are characterized in the literature, and I reveal what debates are central to answering this question. Though I will not resolve these debates, I do show a collection of views that would vindicate these properties as strongly emergent and downwardly causing. (shrink)

There is widespread consensus that present patterns of consumption could lead to the permanent impossibility of maintaining those patterns and, perhaps, the existence of the human race. While many patterns of consumption qualify as ‘sustainable’ there is one in particular that deserves greater attention: virtual consumption. We argue that virtual consumption — the experience of authentic consumptive experiences replicated by alternative means — has the potential to reduce the deleterious consequences of real consumption by redirecting some consumptive behavior from shifting (...) material states to shifting information states. (shrink)

In modern cities, many old or abandoned buildings occupy valuable land without providing a comparably valuable service. In the past they have often met with the fate of being demolished and replaced, but modern day sentiment, be it foolhardy nostalgia or legitimate concern for architectural heritage, often leads to a building’s refurbishment. As a result, buildings save themselves from the wrecking ball by providing a service that satiates modern day demand.

In a recent paper we have defined an analytic tableau calculus PL_16 for a functionally complete extension of Shramko and Wansing's logic based on the trilattice SIXTEEN_3. This calculus makes it possible to define syntactic entailment relations that capture central semantic relations of the logic---such as the relations |=_t, |=_f, and |=_i that each correspond to a lattice order in SIXTEEN_3; and |=, the intersection of |=_t and |=_f,. -/- It turns out that our method of characterising these semantic relations---as (...) intersections of auxiliary relations that can be captured with the help of a single calculus---lends itself well to proving interpolation. All entailment relations just mentioned have the interpolation property, not only when they are defined with respect to a functionally complete language, but also in a range of cases where less expressive languages are considered. For example, we will show that |=, when restricted to L_{tf}, the language originally considered by Shramko and Wansing, enjoys interpolation. This answers a question that was recently posed by M. Takano. (shrink)

Respondeat superior is a legal doctrine conferring liability from one party onto another because the latter stands in some relationship of authority over the former. Though originally a doctrine of tort law, for the past century it has been used within the criminal law, especially to the end of securing criminal liability for corporations. Here, I argue that on at least one prominent conception of criminal responsibility, we are not justified in using this doctrine in this way. Firms are not (...) answerable for the crimes committed by their employees, because firms cannot answer as to why the crime was committed; they lack the authority to offer the employee’s reasons for action. Though this rules out respondeat superior as a general principle, I show contexts in which vicarious liability is still appropriate in the criminal law, and I respond to a number of other concerns raised by this picture. (shrink)

Type-logical semantics studies linguistic meaning with the help of the theory of types. The latter originated with Russell as an answer to the paradoxes, but has the additional virtue that it is very close to ordinary language. In fact, type theory is so much more similar to language than predicate logic is, that adopting it as a vehicle of representation can overcome the mismatches between grammatical form and predicate logical form that were observed by Frege and Russell. The grammatical forms (...) of ordinary language sentences consequently may be taken to be much less misleading than logicians in the first half of the 20th century often thought them to be. This was realized by Richard Montague, who used the theory of types to translate fragments of ordinary language into a logical language. Semantics is commonly divided into lexical semantics, which studies the meaning of words, and compositional semantics, which studies the way in which complex phrases obtain a meaning from their constituents. The strength of type-logical semantics lies with the latter, but type-logical theories can be combined with many competing hypotheses about lexical meaning, provided these hypotheses are expressed using the language of type theory. (shrink)

Standard approaches to proper names, based on Kripke's views, hold that the semantic values of expressions are (set-theoretic) functions from possible worlds to extensions and that names are rigid designators, i.e.\ that their values are \emph{constant} functions from worlds to entities. The difficulties with these approaches are well-known and in this paper we develop an alternative. Based on earlier work on a higher order logic that is \emph{truly intensional} in the sense that it does not validate the axiom scheme of (...) Extensionality, we develop a simple theory of names in which Kripke's intuitions concerning rigidity are accounted for, but the more unpalatable consequences of standard implementations of his theory are avoided. The logic uses Frege's distinction between sense and reference and while it accepts the rigidity of names it rejects the view that names have direct reference. Names have constant denotations across possible worlds, but the semantic value of a name is not determined by its denotation. (shrink)

Terry Horgan and John Tienson have suggested that connectionism might provide a framework within which to articulate a theory of cognition according to which there are mental representations without rules (RWR) (Horgan and Tienson 1988, 1989, 1991, 1992). In essence, RWR states that cognition involves representations in a language of thought, but that these representations are not manipulated by the sort of rules that have traditionally been posited. In the development of RWR, Horgan and Tienson attempt to forestall a particular (...) line of criticism, theSyntactic Argument, which would show RWR to be inconsistent with connectionism. In essence, the argument claims that the node-level rules of connectionist networks, along with the semantic interpretations assigned to patterns of activation, serve to determine a set of representation-level rules incompatible with the RWR conception of cognition. The present paper argues that the Syntactic Argument can be made to show that RWR is inconsistent with connectionism. (shrink)

While it is widely acknowledged that knowledge can be acquired via testimony, it has been argued that understanding cannot. While there is no consensus about what the epistemic relationship of understanding consists in, I argue here that regardless of how understanding is conceived there are kinds of understanding that can be acquired through testimony: easy understanding and easy-s understanding. I address a number of aspects of understanding that might stand in the way of being able to acquire understanding through testimony, (...) focusing on understanding ’s paradigmatic form and what it means to say that in order to understand something you need to “grasp” some information or the relationship between bits of information. I argue that in cases of both easy and easy-s understanding, no aspect of understanding stands in the way of it being able to acquire it through testimony. As a result, while not all understanding be acquired through testimony in all instances and for all subjects, this failure of acquisition is only a product of the complexity of the relevant information or one’s unfamiliarity with it, and not a product of the epistemic relationship of understanding. (shrink)

As it has been shaped by improvements in its tools and methods, and by its discourse with critics, I describe how the astrological research program has advanced through three stages of modelling and design limitations. Single-factor tests (for example, the many Sun-sign–only experiments that have been published) are typically underdeterministic. Multi-factor tests, unless they are very well designed, can easily become overdeterministic. Chart-matching tests have been vulnerable to confirmation bias errors until the development of a machine-based, whole-chart matching protocol that (...) has objectively produced evidence of high effect-sizes. A meta-analysis of recent results shows the rapid advancement and how to further improve the results. The value of the program is not only to corroborate the taxonomic counterfactuals of astrological “cookbooks,” but to extend their explanatory reach by the comparison of astrological postulates and inferences with philosophies in other disciplines in terms of quantifiable processes and emergent effects. (shrink)

The primary aim of this chapter is to show that several missteps made by others in in their thinking about law as an artefact are due to misconceptions about the role of intentions in understanding law as an artefact. I first briefly recap my own contention that law is a genre of institutionalized abstract artefacts (put forth in The Functions of Law (OUP 2016) and subsequent papers), mostly following Searle’s understanding of institutions and Thomasson’s understanding of public artefacts. I highlight (...) the central place that this theory affords law’s functions, without requiring the theorist to say that possession or performance of the function is either necessary or sufficient for inclusion in the class of law. Some of the most common misunderstandings are exemplified in Brian Leiter’s paper ‘Legal Positivism about the Artifact Law’. He thinks that holding an intentionalist view of artefacts commits the theorist to privileging drafters’ intentions when interpreting law. (It doesn’t.) He also has confusions about the differences between artefact tokens and artefact types leading him to a problematically broad understanding of artefacts. Another problem can be seen in thinking that functional understandings of artefacts are vulnerable to the same problems that arise in functional explanations for biological systems. I go on to consider the work of Luka Burazin and Corrado Roversi, addressing worries that making intentionality central to artefacts implies too much conscious thought is required to make one, noting that several theories of intentionality do not require conscious thought in the execution of intentional action. While those who think a central place for intentionality threatens to leave us unable to explain customary law, this can be dealt with by noting the important distinction between customary rules and customary laws (where the latter requires a decision to enlist public aid in redressing violations). I claim that authors’ intentions are communicated requests for the artefacts’ audiences to see the artefacts as members of their putative kinds. Finally, I address the question of whether or not legal systems are themselves artefacts and institutions, given that they may or may not have been intentionally created. An early lawgiver might have created a legal system by accident in the process of handing down the first laws. I raise the possibility that we might want to impute intentionality to necessary by-products of artefact creation, seeing those by-products as artefacts as well. (shrink)

This article explains Blumenberg's reluctance to make humankind the saviour of nature, and the implied scepticism towards environmental politics.

Whereas many philosophers take backwards causation to be impossible, the few who maintain its possibility either take it to be absent from the actual world or else confined to theoretical physics. Here, however, I argue that backwards causation is not only actual, but common, though occurring in the context of our social institutions. After juxtaposing my cases with a few others in the literature and arguing that we should take seriously the reality of causal cases in these contexts, I consider (...) several objections. These objections involve whether the cases should be reinterpreted, whether they are properly within the institution, whether they involve necessitation or else Cambridge changes, whether and how they involve changing the past, and whether this should call us to question institutional reality. I end by suggesting that it is a virtue of our institutions that they allow backwards causation, that this is a kind of technology that they are often built to incorporate. (shrink)

Logic has its roots in the study of valid argument, but while traditional logicians worked with natural language directly, modern approaches first translate natural arguments into an artificial language. The reason for this step is that some artificial languages now have very well developed inferential systems. There is no doubt that this is a great advantage in general, but for the study of natural reasoning it is a drawback that the original linguistic forms get lost in translation. An alternative approach (...) would be to develop a general theory of the natural logic behind human reasoning and human information processing by studying formal logics that operate directly on linguistic representations. That this is possible we will try to make plausible in this paper. It will turn out that one level of representation, that of Logical Form, can meaningfully be identified with the language of an existing and well-understood logic, a restricted form of the theory of types. It is not difficult to devise inference systems for this language, and it is thus possible to study reasoning systems that are based directly on language. (shrink)

This paper argues for the idea that in describing language we should follow Haskell Curry in distinguishing between the structure of an expression and its appearance or manifestation . It is explained how making this distinction obviates the need for directed types in type-theoretic grammars and a simple grammatical formalism is sketched in which representations at all levels are lambda terms. The lambda term representing the abstract structure of an expression is homomorphically translated to a lambda term representing its manifestation, (...) but also to a lambda term representing its semantics. (shrink)