This essay illustrates the main aspects of the discussion between Brentano and Stumpf about «tonal fusion». In his Tonpsychologie, Stumpf essentially moved from a Brentanian standpoint. Yet, he did not adopt Brentano’s subsequently developed new theory of «sensible qualities», so that a polemic eventually arouse between them. Far from representing a marginal issue, the episode is relevant to our understanding of their relationship. The discussion as to the mechanism of tonal fusion reveals a general divergence between Brentano and Stumpf concerning (...) the idea of human sensibility as a whole and of the method of psychology. (shrink)

Many philosophers claim to be naturalists, but there is no common understanding of what naturalism is. Maddy proposes an austere form of naturalism called 'Second Philosophy', using the persona of an idealized inquirer, and she puts this method into practice in illuminating reflections on logical truth, philosophy of mathematics, and metaphysics.

Many nineteenth-century psychologists assume that the measurement of psychic intensity is a prerequisite to the development of a truly scientific psychology. In the first edition of the Psychology from an empirical point of view, Brentano deals with this question. He assumes that all psychic phenomena admit of a certain intensity. Later on, Brentano retreats this doctrine and claims that only sensible phenomena admit of an intensity, whereas intellectual presentations do not. As a consequence, Brentano introduces a radical gap between sensible (...) and noetic consciousness. By contrast, Stumpf maintains a continuity between sensations and presentations. The main difference between them is the degree of their intensity. The essay provides a discussion and a comparison of the above mentioned points of view. (shrink)

This essay addresses the interrelations between philosophy and experimental sciences that lie at the heart of Carl Stumpf’s epistemology. Following a biographical exposé demonstrating how Stumpf succeeded in acquiring a dual competence in both philosophical and scientific fields, we examine the vast array of academic disciplines encompassed by his research. Such a biographical treatment aims, indeed, to better promote the thrust of Stumpf’s assertion that philosophical enquiries should always be carried out in close connection with scientific practices, and underlines how (...) philosophico-scientific interactions established his work as a central pillar in the history of late nineteenth- and early twentieth-century German thought. (shrink)

The ancient Greeks already used to give ethnic names to their different scales, and observations on differences in music of the various nations always raised the interest of musicians and philosophers. Yet, it was only in the late nineteenth century that “comparative musicology” became an institutional science. An important role in this process was played by Carl Stumpf, a former pupil of Brentano’s who pioneered these researches in Berlin. Stumpf founded the Phonogrammarchiv to collect recordings of folk and extra-European music (...) and a dedicated journal, the Sammelbände für vergleichende Musikwissenschaft. Gifted in the field of science no less than in that of musicology, Stumpf developed an empirically-oriented approach to phenomenology, deeply divergent from Husserl’s and highly influential over the Berlin school of Gestalt psychology. A self-declared “outsider” among armchair philosophers, Stumpf experimentally investigated the perception of sounds and the origins of musical consonance. Developing the physiological studies of Ernst Weber on the sense of touch, Stumpf discovered that two sensations of tone, given at the same time, tend to mix in a certain degree. Musical consonance – he claimed – lays in this level of “tonal fusion”, not in the allegedly “natural” series of the harmonic partials of a vibrating chord, as suggested by the naturalists of all times from Pythagoras to Stumpf’s great contemporary Hermann Helmholtz. Accordingly, no musical system can claim for preponderance over the others: Stumpf’s researches in comparative musicology served to corroborate his theses on “tonal fusion” and the psychological foundations of consonance. Although Stumpf later revised and finally abandoned this theory, its permanent value lays in its opposition to dominant naturalistic approaches. The commitment for comparative musicology at the Berlin School is then no concession to a positivistic fashion for exoticism. The fundamentally Eurocentric stance of naturalistic theories of music is also fiercely contrasted by Stumpf’s pupil Erich Hornbostel, who suggests that music ought to be considered as culture, rather than as nature, and focuses attention on the eventually melting human cultures. The Berlin school flourished until the Nazis forced most of its exponents to emigration and, for tragically obvious reasons, heavily discouraged researches on these topics. (shrink)

This essay focuses on realism in ontology and on the problem of defining reality. According to the definition given by many realists, reality is independent of our thoughts, conceptual schemes, linguistic practices, etc. Yet, this merely negative definition of reality has some disadvantages: it implies a dualistic view, and it is incompatible with scientific realism. As an alternative, I introduce and discuss the traditional definition of reality as effectiveness, or capability of acting. I then attempt to determine to what extent (...) this definition can be helpful in the debate concerning ontological realism. (shrink)

In his Spinozastudien Stumpf dismisses the commonplace interpretation of Spinoza’s parallelism in psychophysical terms. Rather, he suggests to read Ethics, II, Prop. 7, as the heritage of the scholastic doctrine of intentionality. Accordingly, things are the intentional objects of God’s ideas. On this basis, Stumpf also tries to make sense of the puzzling spinozian doctrine of the infinity of God’s attributes. In support of this exegesis, Stumpf offers an interesting reconstruction of the history of intentionality from Plato and Aristotle to (...) the late Scholastics. Besides its intrinsic value, Stumpf’s confrontation with Spinoza is illuminating in explaining his own position concerning a crucial phenomenological question such as intentionality. Actually, Stumpf avoids defining the mental in terms of intentionality and maintains, rather, a moderate but professed dualistic position, thus deeply diverging from both Brentano and Husserl. (shrink)

This paper explores the question of what logic is not. It argues against the wide spread assumptions that logic is: a model of reason; a model of correct reason; the laws of thought, or indeed is related to reason at all such that the essential nature of the two are crucially or essentially co-illustrative. I note that due to such assumptions, our current understanding of the nature of logic itself is thoroughly entangled with the nature of reason. I show that (...) most arguments for the presence of any sort of essential re- lationship between logic and reason face intractable problems and demands, and fall well short of addressing them. These arguments include those for the notion that logic is normative for reason (or that logic and correct reason are in some way the same thing), that logic is some sort of description of correct reason and that logic is an abstracted or idealised version of correct reason. A strong version of logical realism is put forward as an alternative view, and is briefly explored. (shrink)

This essay is about the Wolfgang Köhler’s philosophical ideas expressed in his The Place of Value in a World of Facts of 1938. Köhler, who strongly supports a scientific world view, considers the question as to whether science is able to cope with human values, besides natural facts. Relying upon phenomenological analyses, and on his previous researches in natural philosophy, Köhler introduces his doctrine of “epistemological dualism”. From a historical point of view, this theory exhibits some similarity with the philosophical (...) ideas expressed by Köhler’s Berlin mentor Carl Stumpf. It is argued that Köhler’s epistemological dualism actually supports ontological monism and aims at offering a unified view of natural facts and human values. (shrink)

Defining consciousness along the lines of Nagel, an organism has consciousness iff there is something it is like to be that organism, I relate three types of consciousness (phenomenal, access and reflexive) to the three types of short-term memory (sensory memories, short-term working memory and the central executive). The suggestion is that these short-term memory stores may be a key feature of consciousness.

I argue that one in particular of CrispinWright’s attempts to capture our common or intuitive concepts of objectivity, warrant, and other associated notions, relies on an ambiguity between a given constructivist reading of the concepts and at least one other, arguablymore ‘ordinary’, version of the notions he tries to accommodate. I do this by focusing on one case in point, and concluding with a brief argument showing how this case generalises. I demonstrate why this ambiguity is unacceptable and also that (...) its resolution undermines the aim it serves: to account for and accommodate our ordinary conception of (at least) objectivity, warrant (or justication) and truth. (shrink)

Stumpf’s doctrine of the categories is of great importance for our understanding of his philosophy. This theme had been widely discussed among German thinkers after Kant; Brentano himself had repeatedly dealt with it since his early works. However, Stumpf considerably diverges from Brentano on this crucial philosophical topic. Although a systematic discussion can be found only in Stumpf’s posthumous Erkenntnislehre, his core ideas on the categories can be traced to his early work on space of 1873. In fact, Stumpf claims (...) that the peculiar relationship between extension and color is analogous to the relationship that holds between substance and accidents. Thus, like any other category, substance empirically stems from perception. Sensory experience, for Stumpf, is made up of perceptual wholes, whose attributes are typically bound to each other, rather than separately given in bundles, as Hume and other associationists used to assume. Thus, the achievements of Stumpf’s holist psychology effectively contributes a solution to this classic metaphysical problem. (shrink)

Together with other influential psychologists of the time, Wundt considers internal data as absolute evidence, grounding psychology on this assumption. In opposition to his former mentor, Külpe aims at rehabilitating Kant’s transcendental aesthetics. Yet, he is far from embracing transcendentalism and rejects Kant’s skepticism as to the possibility of a scientific psychology. Nevertheless, Külpe believes that Kant is right in considering internal data as unreliable for scientific purposes: accordingly, psychology should share the same scientific methodology of any other science.

The paper compares the ideas developed by Bozzi and Stumpf with regard to unity, identity, and causality. Although Bozzi’s formulation is independent from the one made by Stumpf in his Erkenntnislehre, these two positions share the same innovative importance granted to perceptual experience and to the problem of the origin of categories. Thus, despite different levels of awareness and formalization, in both authors we see the features of what we can call – analogous- ly to Bozzi’s naïve physics – a (...) “naïve metaphysics”, at whose core lie the refusal of intellectualism, and the determination of the origin of categories in the concrete stream of perception. (shrink)

Gender dysphoria is typically construed as a medical concept. This understanding of gender dysphoria reflects how cisgender people interpret trans experience. This essay proposes an alternative concept of gender dysphoria for critical theory: on this account, gender dysphoria is alienation from cisgender forms of life. If the medicalized concept of gender dysphoria tacitly takes for granted, identifies with, and thereby reinforces cisgender patriarchal society, a critical theory of gender dysphoria instead approaches the issue from the perspective of trans people, their (...) lived experiences and social situation, to offer a critique of society. While the medicalized concept of gender dysphoria refers to a “distress” caused by living in the “wrong-body,” the critical concept of gender dysphoria refers to an alienation as a result of living in the “wrong (cisgender patriarchal) society.” The critical concept of gender dysphoria may become a tool capable of describing the necessary facets of trans experience necessary to form a political coalition. The paper concludes by claiming that trans subjects are the gendered analogue of Marx’s concept of the proletariat. (shrink)

This essay addresses the attitude of some leading Neo-Kantian philosophers toward scientific psychology and psychophysics. Early influential figures like Friedrich A. Lange counted Gustav T. Fechner’s psychophysical law among their allies in the rehabilitation of the Kantian standpoint. Later on, however, Neo-Kantian philosophers firmly rejected psychological measurement as a whole and harshly criticized the methods adopted by several psychologists of their time. For example, the Marburg mathematician and philosopher August Stadler reduced the validity of Fechner’s law to the mere physiological (...) sphere, and Hermann Cohen conceived the application of mathematical integration to human sensations as an inane enterprise. (shrink)

Il lavoro analizza la tempestiva ricezione da parte di Cornelio Fabro della filosofia di Carl Stumpf, così come esposta nella postuma Erkenntnislehre. Fin dai lavori dei primi anni Quaranta Fabro adotta una concezione della ‘fenomenologia’ distante da quella di Husserl perché ricalcata sulla definizione stumpfiana. Più in generale, Fabro si ispira a Stumpf ancor più che allo stesso Brentano. A partire dalla distinzione tra ‘fenomeni' e ‘funzioni psichiche’ Stumpf è infatti capace di proseguire il rilancio dell’aristotelismo con coerenza ancor maggiore (...) del maestro, all’insegna di un pieno riconoscimento del significato conoscitivo della percezione contro gli tipici di eccessi di ogni forma di intellettualismo. (shrink)

The essay investigates the question of the transition from a physiological view of anthropology to one ‘from a pragmatic point of view’ in the work of Immanuel Kant. The concepts this thinking hinges on are those of ‘prudence’ and ‘character’, which are crucial for the break that Kant’s anthropological thought represents with that of earlier and later philosophy.

This book is an invitation to academic administrators, at every level, to engage in reflection on the ethical dimensions of their working lives.

In this essay I analyze Kant's concept of character in the light of the concept of nature adopted in Kant's Pragmatic anthropology. In the Preface, Kant contrasts mechanical nature with freedom and opts for a pragmatic, rather than a physiological anthropology. In the Anthropological characteristics, however, Kant introduces his teleological concept of nature. Accordingly, he defends the view that there is no basic contrast between the purpose of nature (in the latter sense) and human freedom.

This essay aims at an analysis of Stumpf’s doctrine of categories. In Erkenntnislehre Stumpf argues that all categories empirically stem from outer and inner perception. Although Stumpf champions an empiricist explanation of the matter, he firmly rejects associationism. In his conception of the origin of categories, including substance, Stumpf builds on the assumption that human perception behaves dynamically. Sensory experience consists indeed essentially of perceptual wholes. The analysis of Stumpf’s theses is of great importance for our thorough understanding of his (...) philosophy. His theory regarding this crucial philosophical topic diverges considerably from Brentano’s. (shrink)

Can music express the world-view of a certain composer, or of a certain historical era – and how? In 19th Century, the wide-ranging philosophical implications of this question raised an intriguing quarrel between the formalists’ scepticism as to this point and their various opponents. Starting from the case study of the German psychologist and philosopher of music Georg Anschütz, it is argued that allowing for a systematic link of music and the world-views easily turns into the far more demanding claim (...) that music is the best and perhaps the only way to express them properly. In turn, this attitude sits well with the tendency to think of music hearing as a disembodied process, hinting at the deep dimension of synesthesia rather than to that of music as a cultural phenomenon, in Erich Hornbostel’s sense. (shrink)

Landgrebe and Smith (2022) have recently offered an important mathematical argument against the possibility of Artificial General Intelligence (AGI): human intelligence is a complex system; complex systems have some properties that cannot be modelled mathematically; hence we have no viable way to build an AI that would be able to emulate human intelligence. The issue of complexity is thus at the heart of the Landgrebe and Smith approach, and they tackle this issue by postulating a set of conditions, derived from (...) mathematics, for a system to be complex. I argue that Hayek’s “Theory of Complex Phenomena” offers an interesting alternative path to understanding what makes complex systems complex. This offers an argument complementary to that of Landgrebe and Smith, which approaches the issue of complexity from an ontological angle, and which is designed to show that AI systems are not the right kind of entity that may interact meaningfully with complex systems. (shrink)

This essay focuses on the relation between man and the world in Kant’s anthropology. Within Baumgarten’s Metaphysica, used as a manual by Kant for his lessons, empirical psychology is situated between cosmology and rational psychology. However, this view is untenable for Kant, at least after the first Critique. Consequently, whereas Baumgarten explains, for instance, obscure ideas referring to the bodily position in the world, Kant’s pragmatic approach excludes this. Yet, the concept of «Welt» retains paramount importance within Kant’s Anthropology. The (...) two parts of the work are thus harmonically linked: the first offers an account of a largely pathological human psychology; the second a way out of the pathology through the construction of a social and historical human world. Accordingly, anthropology responds to the «Weltbegriff» of philosophy and helps to correct the deviations from the final rational destination of mankind. (shrink)

Trans theory is characterized in part by the apparent tension between discursive analyses of cisgender society and phenomenological descriptions of trans experiences. While traditional inquiry into the history of philosophy proposes an interminable opposition between phenomenology and discourse analysis, Rubin’s alternative suggestion is that within the domain of trans studies that they fulfill complimentary dimensions of investigation. Discourse analysis and phenomenology converge in trans studies because they are submitted to the same ethical and political imperative: the systematic development of the (...) trans archive. Both discourse analysis and phenomenology as methods in trans studies are directed toward the development of a genuinely trans history, perspective, and theory, with special methodological consideration toward the way that this perspective is misunderstood or obscured by dominant frameworks within cisgender society. In what follows, I provide a brief reconstruction of two major interventions in trans phenomenology, demonstrating that each is carefully concerned with distinctly archival considerations, but I further argue that each project remains incomplete because of an incomplete bracketing of medicalized cisgender concepts. I then propose a brief alternative program aimed at the full suspension of cisgender categories that I call transgender existentialism. (shrink)

Hegel’s treatment of character in §395 of Encyclopedia is considered together with the commentaries given in his lectures. In these texts Hegel addresses some philosophical problems concerning character. In Hegel’s view, in fact, human character has a “natural basis” and yet depends on a free individual choice. Attention is drawn at Kant’s treatment of the same subject matter in Anthropology form a pragmatic point of view, which is the source of Hegel’s tripartite arrangement of Naturell, temperament and character. Diverging from (...) Kant, however, Hegel introduces a dialectic development within the development of character. (shrink)

En el presente artículo realizamos un análisis del estatus ontológico de la noción de psicopatología que se deriva de cuatro aproximaciones metodológicas a su estudio, a saber: aproximación psiquiátrica, fenomenológico-existencial, constructivista-histórica y antipsiquiátrica. Por medio de una metodología de revisión bibliográfica sistematizada y siguiendo el marco de trabajo metaframework ReSiste-CHS (Revisiones Sistematizadas en Ciencias Humanas y Sociales), sostendremos que dicha noción presenta divergencias en al menos tres puntos: (i) la relevancia de la sintomatología como característica, (ii) la existencia o inexistencia (...) del sufrimiento psíquico y (iii) la relevancia de los factores sociales en su configuración. En el apartado introductorio abordaremos las consideraciones históricas generales relacionadas con el estudio de los trastornos mentales. En el segundo apartado nos referiremos a la metodología empleada para la realización del artículo. En el tercer apartado expondremos los rasgos fundamentales de las cuatro metodologías de estudio mencionadas anteriormente, dividiendo la descripción en los siguientes puntos: orientación, etiología, clasificación, diagnóstico y tratamiento. En el cuarto apartado contrastaremos los conceptos de psicopatología que pueden ser extraídos de ellas. A modo de conclusión, propondremos una sistematización de las condiciones mínimas que debe cumplir una noción de psicopatología que sea fructífera desde un punto de vista teórico y práctico. Estas condiciones incluyen un posicionamiento crítico ante los extremos reduccionista y relativista, la consideración del sufrimiento psíquico como rasgo constitutivo y núcleo fundamental de este género de experiencia, así como una dimensión ética relacionada con su abordaje. Por último, mostraremos algunas limitaciones y futuras directrices que se derivan del trabajo realizado. (shrink)

Review of Penelope Maddy, What Do Philosophers Do? Skepticism and the Practice of Philosophy (Oxford University Press, Oxford, 2017, 248 pp.).

Review of the first comprehensive companion to the growing scholarship on ancient Greek and Roman aesthetics.

Review of What do Philosophers Do? Skepticism and the Practice of Philosophy by Penelope Maddy.

Review of Maddy, Penelope "Defending the Axioms".

Review of _ What do Philosophers do? Scepticism and the Practice of Philosophy _, by Penelope Maddy.

Penelope Mackie and Scott Soames argue, contrary to my Reference and Essence (R&E), that Hilary Putnam was correct that the direct-reference theory of natural-kind terms, taken in conjunction with empirical or otherwise uncontroversial premises, yields non-trivial essentialism, such as the conclusion that water is essentially two-parts hydrogen, one-part oxygen. A controversial distinction is drawn between rigid and non-rigid general terms. A new criterion for general-term rigidity is proposed, and Putnam’s ostensive definition of ‘water’ is reformulated accordingly to generate the consequence (...) that ‘water’ rigidly designates. Mackie and Soames propose a reformulation of Putnam’s ostensive definition that putatively yields the desired result. This reformulation, however, does not correctly explain the meaning of ‘water’ as a substance designator. Furthermore, if taken instead as a redefinition of ‘water’, the essentialism thereby generated is trivial. (shrink)

Penelope Maddy has recently addressed the set-theoretic multiverse, and expressed reservations on its status and merits ([Maddy, 2017]). The purpose of the paper is to examine her concerns, by using the interpretative framework of set-theoretic naturalism. I first distinguish three main forms of 'multiversism', and then I proceed to analyse Maddy's concerns. Among other things, I take into account salient aspects of multiverse-related mathematics , in particular, research programmes in set theory for which the use of the multiverse seems to (...) be crucial, and show how one may provide responses to Maddy's concerns based on a careful analysis of 'multiverse practice'. (shrink)

Penelope Maddy’s Second Philosophy is one of the most well-known ap- proaches in recent philosophy of mathematics. She applies her second-philosophical method to analyze mathematical methodology by reconstructing historical cases in a setting of means-ends relations. However, outside of Maddy’s own work, this kind of methodological analysis has not yet been extensively used and analyzed. In the present work, we will make a first step in this direction. We develop a general framework that allows us to clarify the procedure and (...) aims of the Second Philosopher’s investigation into set-theoretic methodology; pro- vides a platform to analyze the Second Philosopher’s methods themselves; and can be applied to further questions in the philosophy of set theory. (shrink)

The paper compares two theories of the nature of logic: Penelope Maddy's and my own. The two theories share a significant element: they both view logic as grounded not just in the mind (language, concepts, conventions, etc.), but also, and crucially, in the world. But the two theories differ in significant ways as well. Most distinctly, one is an anti-holist, "austere naturalist" theory while the other is a non-naturalist "foundational-holistic" theory. This methodological difference affects their questions, goals, orientations, the scope (...) of their investigations, their logical realism (the way they ground logic in the world), their explanation of the modal force of logic, and their approach to the relation between logic and mathematics. The paper is not polemic. One of its goal is a perspicuous description and analysis of the two theories, explaining their differences as well as commonalities. Another goal is showing that and how (i) a grounding of logic is possible, (ii) logical realism can be arrived at from different perspectives and using different methodologies, and (iii) grounding logic in the world is compatible with a central role for the human mind in logic. (shrink)

The essay ends addressing the fracture lines dividing the European Left as far as the integration process is concerned, also among those who disapprove of the levelling of social democracy with its dominant austerity policies imposed by communitarian institutions. A “duel on the Left” – we one would have written – all the more interesting because Martinelli compares two German intellectuals, both hostile to the lasting compromise of the Große Koalition that governs the country and on which the destiny (...) of the European Union depends. Wolfgang Streeck, director of the Max-Planck-Institut für Gesellschaftsforschung in Cologne, and Jürgen Habermas, the grand maestro of critical theory. (shrink)

In this article, I clarify the phenomenological concept of lifeworld by drawing on the geographical themes of place, place experience, and place meaning. Most simply, lifeworld refers to a person or group’s day-to-day, taken-for-granted experience that typically goes unnoticed. One aim of phenomenological research is to examine the lifeworld as a means to identify and clarify the tacit, unnoticed aspects of human life so that they can be accounted for theoretically and practically. Here, I discuss some key phenomenological principles and (...) then draw on phenomenological renditions of place as one means to clarify some of the lifeworld’s social, environmental, spatial, and geographical aspects. To concretize my discussion, I draw descriptive evidence from British writer Penelope Lively’s Spiderweb, a 1990s novel describing one outsider’s efforts to come to inhabit a place—a fictitious present-day village in the southwestern British county of Somerset. -/- . (shrink)

Recent discussions of how axioms are extrinsically justified have appealed to abductive considerations: on such accounts, axioms are adopted on the basis that they constitute the best explanation of some mathematical data, or phenomena. In the first part of this paper, I set out a potential problem caused by the appeal made to the notion of mathematical explanation and suggest that it can be remedied once it is noted that all the justificatory work is done by appeal to the theoretical (...) virtues. In the second part of the paper, I appeal to the theoretical virtues account of axiom justification to provide an argument that judgements of theoretical virtuousness, and therefore of extrinsic justification, are subjective in a substantive sense. This tells against a recent claim by Penelope Maddy that such justification is “wholly objective”. (shrink)

Paul Horwich (1990) once suggested restricting the T-Schema to the maximally consistent set of its instances. But Vann McGee (1992) proved that there are multiple incompatible such sets, none of which, given minimal assumptions, is recursively axiomatizable. The analogous view for set theory---that Naïve Comprehension should be restricted according to consistency maxims---has recently been defended by Laurence Goldstein (2006; 2013). It can be traced back to W.V.O. Quine(1951), who held that Naïve Comprehension embodies the only really intuitive conception of set (...) and should be restricted as little as possible. The view might even have been held by Ernst Zermelo (1908), who,according to Penelope Maddy (1988), subscribed to a ‘one step back from disaster’ rule of thumb: if a natural principle leads to contra-diction, the principle should be weakened just enough to block the contradiction. We prove a generalization of McGee’s Theorem, anduse it to show that the situation for set theory is the same as that for truth: there are multiple incompatible sets of instances of Naïve Comprehension, none of which, given minimal assumptions, is recursively axiomatizable. This shows that the view adumbrated by Goldstein, Quine and perhaps Zermelo is untenable. (shrink)

The present discussion takes up an issue raised in Section 5 of Ross Brady and Penelope Rush’s paper ‘Four Basic Logical Issues’ concerning the (claimed) triviality – in the sense of automatic availability – of soundness and completeness results for a logic in a metalanguage employing at least as much logical vocabulary as the object logic, where the metalogical behaviour of the common logical vocabulary is as in the object logic. We shall see – in Propositions 4.5–4.7 – that this (...) triviality claim faces difficulties in the face of Halldén incompleteness, for essentially the same reasons that Halldén thought this phenomenon raised seman- tic difficulties for the modal logics of C. I. Lewis exhibiting it. To counter any inclination to dismiss the phenomenon as providing at best a marginal range of counterexamples to the triviality claim, a Postscript assembles some reminders of the extent of – and the varied considerations favouring – Halldén incompleteness. (shrink)