First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This (...) historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic. (shrink)

There is a simple, intuitive theory of the semantic reference of proper names that has been unjustly neglected. This is the view that semantic reference is conventionalized speakers reference, i.e. the view that a name semantically refers to an object if, and only if, there exists a convention to use the name to speaker-refer to that object. The theory can be found in works dealing primarily with other issues (e.g. Stine in Philos Stud 33:319–337, 1977; Schiffer in Erkenntnis 13:171–206, 1978; (...) Sainsbury in Erkenntnis 80:195–214, 2015; Sainsbury, Thinking about things, Oxford University Press, 2018), yet these authors provide no sustained discussion of it. Devitt (Designation, Columbia University Press, 1981) did formulate a view on which semantic reference is conventionalized speaker’s reference, yet his views are assimilated to causalist views. This is a mistake. While the conventionalized speaker’s reference view captures much of what is plausible in descriptivism and causalism, it remains distinct from both. (shrink)

Kripke (1977) views Donnellan's (1966) misdescription cases as cases where semantic reference and speaker's reference come apart. Such cases, however, are also cases where semantic reference conflicts with a distinct species of reference I call "public reference", i.e. the object that the cues publicly available at the time of utterance indicate is the speaker's referent of the utterance. This raises the question: do the misdescription cases trade on the distinction between semantic reference and speaker's reference, or the distinction between semantic (...) reference and public reference? I argue that Kripke's own construal in terms of semantic reference and speaker's reference is at best incomplete, and probably wrong. I also explain the general importance of the notion of 'public reference'. (shrink)

This paper argues, based on Lewis’ claim that communication is a coordination game (Lewis in Minnesota studies in the philosophy of science, University of Minnesota Press, Minneapolis, pp 3–35, 1975), that we can account for the communicative function of demonstratives without assuming that they semantically refer. The appeal of such a game theoretical version of the case for non-referentialism is that the communicative role of demonstratives can be accounted for without entering the cul de sac of trying to construct conventions (...) of ever-increasing complexity. Instead communication via demonstratives is explained with reference to the general, non-domain specific ability of human beings to solve games of coordination. Furthermore, there is empirical support for such a view. Judgments concerning demonstrative reference have been shown to be sensitive to judgments concerning common ground (Clark et al. in J Verb Learn Verb Behav 22:245–258, 1983), which is exactly what the non-referentialist account would predict. The game theoretical account also allows for an intuitively plausible, non-referentialist treatment of Speaks’ ‘trumping argument’ (Speaks in Philos Stud 174:709–734, 2017), as well as the Carnap/Agnew puzzle (Kaplan in Syntax Semant 9:221–43, 1970). (shrink)

This is the first comprehensive study of Nietzsche's earliest (and extraordinary) book, The Birth of Tragedy (1872). When he wrote it, Nietzsche was a Greek scholar, a friend and champion of Wagner, and a philosopher in the making. His book has been very influential and widely read, but has always posed great difficulties for readers because of the particular way Nietzsche brings his ancient and modern interests together. The proper appreciation of such a work requires access to ideas that cross (...) the boundaries of conventional specialisms. This is now provided by M. S. Silk and J. P. Stern in their joint study of Nietzsche's book. They examine in detail its content, style and form; its strange genesis and hybrid status; its biographical background and the controversy engendered by its publication; its value as an account of ancient Greek culture and as a theory of tragedy and music; its relation to other theories of tragedy; and its place in the history of German ideas and in Nietzsche's own philosophical career. (shrink)

'Johann Sommerville's is an impeccable textbook. Simply written, it provides exposition of Hobbes' arguments in the context of English and continental thought'. P. Springborg, University of Sydney, Political Studies, Vol. XL1, No 2 6/93 Thomas Hobbes was probably the greatest of British political theorists. Too often commentators have failed to grasp his meaning because they have ignored the historical context in which he wrote. Drawing on much recent scholarship and on many little-known seventeenth century sources, this book presents a lucid (...) and jargon-free examination of Hobbes' arguments, setting them against a background of the ideas of his contemporaries and of the political events of his lifetime. By viewing Hobbes in his context, the book both clarifies his theories and illuminates European thinking at a critical stage in the development of modern political ideas. (shrink)

Contractarians aim to derive moral principles from the dictates of instrumental rationality alone. But it is well-known that contractarian moral theories struggle to identify normative principles that are both uniquely rational and morally compelling. Michael Moehler's recent book, *Minimal Morality* seeks to avoid these difficulties by developing a novel "two-level" social contract theory, which restricts the scope of contractarian morality to cases of deep and persistent moral disagreement. Yet Moehler remains ambitious, arguing that a restricted version of Kant's categorical imperative (...) is a uniquely rational principle of conflict resolution. We develop a formal model of Moehler's informal game-theoretic argument, which reconstructs a valid argument for Moehler's conclusion. This model, in turn, enables us to expose how a successful argument for Moehler's contractarian principle rests on assumptions that can only be justified by subtle yet significant departures from the standard conception of rationality. We thus extend our understanding of familiar contractarian difficulties by showing how they arise even if we restrict the scope of contractarian morality to a domain where its application seems both promising and necessary. We show that the problem lies not in contractarians' immodest ambitions but in the modest resources rationality can offer to satisfy them. (shrink)

The achievements of the textile industry in Roman Britain are often underestimated as a result of the meagreness of our available evidence. The Edict on maximum prices issued by Diocletian in A.D. 301 shows that British capes commanded high prices on the markets of the Empire, and that in the late third century A.D. British rugs were the best in the world. In view of the competition from the traditional centres of rug manufacture in the East, this is an astonishing (...) achievement. (shrink)

The received translation and interpretation of many of the technical terms current in the textile industry of the Roman Empire are inaccurate, because lexicographers have either fought shy of being precise, or have thought that they recognized in the ancient world technical processes which originated at a much later date. The evidence is often equivocal or insufficient, but may still yield details that have been overlooked. The textile expression scutulatus, to take an example, deserves more attention than Blümner has devoted (...) to it. When it refers to the appearance of a garment, Lewis and Short, s.v. scutulatus, translate ‘diamond or lozenge-shaped, checkered’. It seems worth while to attempt a more precise translation, and, if possible, to estimate the significance in context of the goods so designated. (shrink)

Doctors’ strikes are legally permissible in the UK, with the situation differing in other countries. But are they morally permissible? Doug McConnell and Darren Mann have systematically attempted to dismiss the arguments for the moral impermissibility of doctors’ strikes and creatively attempted to provide further moral justification for them. Unfortunately for striking doctors, they fail to achieve this. Meanwhile, junior doctors’ strikes have continued in the UK through 2023 and have now extended into 2024. In this response, which focuses on (...) the UK situation and specifically junior doctors’ strikes in the National Health Service (NHS) in England, I will demonstrate a central problem with their arguments—namely that they underplay the harms caused by prolonged doctors’ strikes by ignoring the harms to patients with cancer. This weakens their conclusion that strikes are morally permissible in terms of the conditions and thresholds they set. I then provide a psychological critique of their justification for strikes in terms of the interests of the public. It follows that invoking the controversial concept of supererogatory action is ungrounded but also absurd when you consider time-critical cancer care. If those representing striking doctors wish to maintain a modicum of moral respectability, they should mitigate for patients with cancer and negotiate reasonably and with urgency. (shrink)

Doctors are regularly confronted with requests for sterilisation of mentally handicapped people who cannot give consent for themselves. They ought to act in a medical vacuum because there doesn't exist a consensus about a model for decision making on this matter. In this article a model for decision making is proposed, based on a review of the literature and our own research data. We have attempted to select and classify certain factors which could enable us to arrive at an ethically (...) justifiable method of making a medical decision. In doing so we distinguish two major criteria: heredity and parenting competence, and six minor criteria: conception risk, IQ, age, personality, medical aspects and prognosis and finally support and guidance for the mentally handicapped person. The major criteria give rise to a "situation of necessity". In this situation the physician is confronted with a conflict of values and interests. The minor criteria are of an entirely different ethical order. They can only be considered once the major criteria have created a "situation of necessity". Ultimately it comes down to deciding whether the benefits of sterilisation outweigh the drawbacks and whether the means are appropriate to the end, where efficient contraception is the end and irreversible sterilisation is the means. (shrink)

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This (...) historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic. (shrink)

In their thought-provoking article, Sedlakova and Trachsel (2023) defend the view that the status—both epistemic and ethical—of Conversational Artificial Intelligence (CAI) used in psychotherapy is complicated. While therapeutic CAI seems to be more than a mere tool implementing particular therapeutic techniques, it falls short of being a “digital therapist.” One of the main arguments supporting the latter claim is that even though “the interaction with CAI happens in the course of conversation… the conversation is profoundly different from a conversation with (...) a human therapist” (Sedlakova and Trachsel 2023, 8). In particular, unlike a human therapist, CAI cannot help its users gain new insight and self-understanding (Sedlakova and Trachsel 2023). We agree that currently available therapeutic CAI cannot be considered a “digital therapist,” however, we think that the issue surrounding the acquisition of new self-understanding in the interaction with therapeutic CAI is more complicated than Sedlakova and Trachsel suggest. (shrink)

Despite Vancil’s (1979) proclamation over twenty years ago that topoi have been abandoned in argument theory, this essay contends that topoi should have a vital role in contemporary argumentation theory. Four key areas are identified where topoi are (or can be) essential tools for argumentation: Locating argument, building argument, development of critical thinking, and argument pedagogy. As a result, teachers and students of argument can both benefit from a (re)discovery of topoi.

The use of tensed language and the metaphor of set ‘formation’ found in informal descriptions of the iterative conception of set are seldom taken at all seriously. Both are eliminated in the nonmodal stage theories that formalise this account. To avoid the paradoxes, such accounts deny the Maximality thesis, the compelling thesis that any sets can form a set. This paper seeks to save the Maximality thesis by taking the tense more seriously than has been customary (although not literally). A (...) modal stage theory, MST, is developed in a bimodal language, governed by a tenselike logic. Such a language permits a very natural axiomatisation of the iterative conception, which upholds the Maximality thesis. It is argued that the modal approach is consonant with mathematical practice and a plausible metaphysics of sets and shown that MST interprets a natural extension of Zermelo set theory less the axiom of Infinity and, when extended with a further axiom concerning the extent of the hierarchy, interprets Zermelo–Fraenkel set theory. (shrink)

Growing demand for broadly accessible mental health care, together with the rapid development of new technologies, trigger discussions about the feasibility of psychotherapeutic interventions based on interactions with Conversational Artificial Intelligence (CAI). Many authors argue that while currently available CAI can be a useful supplement for human-delivered psychotherapy, it is not yet capable of delivering fully fledged psychotherapy on its own. The goal of this paper is to investigate what are the most important obstacles on our way to developing CAI (...) systems capable of delivering psychotherapy in the future. To this end, we formulate and discuss three challenges central to this quest. Firstly, we might not be able to develop effective AI-based psychotherapy unless we deepen our understanding of what makes human-delivered psychotherapy effective. Secondly, assuming that it requires building a therapeutic relationship, it is not clear whether psychotherapy can be delivered by non-human agents. Thirdly, conducting psychotherapy might be a problem too complicated for narrow AI, i.e., AI proficient in dealing with only relatively simple and well-delineated tasks. If this is the case, we should not expect CAI to be capable of delivering fully-fledged psychotherapy until the so-called “general” or “human-like” AI is developed. While we believe that all these challenges can ultimately be overcome, we think that being mindful of them is crucial to ensure well-balanced and steady progress on our path to AI-based psychotherapy. (shrink)

Human conflict and its resolution is obviously a subject of great practical importance. Equally obviously, it is a vast subject, ranging from total war at one end of the spectrum to negotiated settlement at its other end. The literature on the subject is correspondingly vast and, in recent times, technical, thanks to the valuable contributions made to it by game theorists, economists, and writers on industrial and international relations. In this essay, however, I shall discuss only one familiar form of (...) conflict-resolution. There is room for such a discussion, because philosophers have lately neglected compromise, despite the interest shown in it by the aforementioned experts, and despite the classic treatments of it by Halifax, Burke and Morley. Truly, ‘…compromise is not so widely discussed by philosophers as one might expect’, and ‘…the idea of compromise has been largely neglected by Anglo-American jurisprudence’. (shrink)

In The Construction of Social Reality, John Searle develops a theory of institutional facts and objects, of which money, borders and property are presented as prime examples. These objects are the result of us collectively intending certain natural objects to have a certain status, i.e. to ‘count as’ being certain social objects. This view renders such objects irreducible to natural objects. In this paper we propose a radically different approach that is more compatible with standard economic theory. We claim that (...) such institutional objects can be fully understood in terms of actions and incentives, and hence the Searlean apparatus solves a non-existent problem. (shrink)

Contemporary discussion concerning institutions focus on, and mostly accept, the Searlean view that institutional objects, i.e. money, borders and the like, exist in virtue of the fact that we collectively represent them as existing. A dissenting note has been sounded by Smit et al. (Econ Philos 27:1–22, 2011), who proposed the incentivized action view of institutional objects. On the incentivized action view, understanding a specific institution is a matter of understanding the specific actions that are associated with the institution and (...) how we are incentivized to perform these actions. In this paper we develop the incentivized action view by extending it to institutions like property, promises and complex financial organisations like companies. We also highlight exactly how the incentivized action view differs from the Searlean view, discuss the method appropriate to such study and discuss some of the virtues of the incentivized action view. (shrink)

Universal Grammar (UG) is indeed evolutionarily implausible. But if languages are just to a large primate brain, it is hard to see why other primates do not have complex languages. The answer is that humans have evolved a specialized and uniquely human cognitive architecture, whose main function is to compute mappings between arbitrary signals and communicative intentions. This underlies the development of language in the human species.

The majority of our linguistic exchanges, such as everyday conversations, are divided into turns; one party usually talks at a time, with only relatively rare occurrences of brief overlaps in which there are two simultaneous speakers. Moreover, conversational turn-taking tends to be very fast. We typically start producing our responses before the previous turn has finished, i.e., before we are confronted with the full content of our interlocutor’s utterance. This raises interesting questions about the nature of linguistic understanding. Philosophical theories (...) typically focus on linguistic understanding characterized either as an ability to grasp the contents of utterances in a given language or as outputs of this ability—mental states of one type or another. In this paper, I supplement these theories by developing an account of the process of understanding. I argue that it enables us to capture the dynamic and temporal aspect of understanding and reconcile philosophical investigations with empirical research on language comprehension. (shrink)

What does being money consist in? We argue that something is money if, and only if, it is typically acquired in order to realise the reduction in transaction costs that accrues in virtue of agents coordinating on acquiring the same thing when deciding what thing to acquire in order to exchange. What kinds of things can be money? We argue against the common view that a variety of things (notes, coins, gold, cigarettes, etc.) can be money. All monetary systems are (...) best interpreted as implementing the same basic protocol. Money, i.e. the thing that we coordinate on acquiring in order to lower our transaction costs, is, in all cases, a set of positions on an abstract mathematical object, namely a relative ratio scale. The things that we ordinarily call ‘money’ are merely records of positions on such a scale. (shrink)

Neologicists have sought to ground mathematical knowledge in abstraction. One especially obstinate problem for this account is the bad company problem. The leading neologicist strategy for resolving this problem is to attempt to sift the good abstraction principles from the bad. This response faces a dilemma: the system of ‘good’ abstraction principles either falls foul of the Scylla of inconsistency or the Charybdis of being unable to recover a modest portion of Zermelo–Fraenkel set theory with its intended generality. This article (...) argues that the bad company problem is due to the ‘static’ character of abstraction on the neologicist's account and develops a ‘dynamic’ account of abstraction that avoids both horns of the dilemma. 1 Introduction2ion Reconstructed3 From Bad to Worse4 Abstraction Reconceived5 Bad Company Made GoodA AppendixA.1SemanticsA.2LogicA.3ConsistencyA.4Strength. (shrink)