Susanne K. Langer is best known as a philosopher of culture and student of Ernst Cassirer. In this chapter, however, I argue that this standard picture ignores her contributions to the development of analytic philosophy in the 1920s and 1930s. I reconstruct the reception of Langer’s first book *The Practice of Philosophy*—arguably the first sustained defense of analytic philosophy by an American philosopher—and describe how prominent European philosophers of science such as Moritz Schlick, Rudolf Carnap, and Herbert (...) Feigl viewed her as one of the most important allies in the United States. In the second half of this chapter, I turn to Langer’s best-selling *Philosophy in a New Key* and reconstruct her attempts to broaden the scope of the, by then, rapidly growing U.S. analytic movement. I argue that her book anticipated various developments in analytic philosophy but was largely ignored by her former colleagues. I end the chapter by offering some clues as to why New Key did not incite the same laudatory responses from analytic philosophers as her earlier work. (shrink)

Susanne Langer was a student at Radcliffe College between 1916 and 1926---a highly transitional period in the history of American philosophy. Intellectual generalists such as William James, John Dewey, and Josiah Royce had dominated philosophical debates at the turn of the century but the academic landscape gradually started to shift in the years after World War I. Many scholars of the new generation adopted a more piecemeal approach to philosophy---solving clearly delineated, technical puzzles using the so-called “method of (...) logical analysis”. Especially at Harvard, the intellectual climate rapidly changed. The department hired several philosophers who had contributed to the development of symbolic logic---H. M. Sheffer, C. I. Lewis, and A. N. Whitehead---and Harvard quickly began to be viewed as a central hub for analytic philosophy in the United States. This chapter contextualizes Langer’s earliest work by reading it through the lens of this shifting academic environment. Though Harvard did not allow women to take its courses until 1943, Langer is one of the most significant fruits of this period. Her dissertation “A Logical Analysis of Meaning” and her first publications are all illustrations of the approach that came to dictate the American philosophical conversation. By exploring the increased focus on the logical-analytic method and Langer’s attempts to expand the new approach to what she later called “non-discursive” symbolisms, I situate her publications in the intellectual context of the 1920s. (shrink)

Susanne Langer’s idea of the primary apparition of music involves a dichotomy between two kinds of temporality: ‘felt time’ and ‘clock time’. For Langer, musical time is exclusively felt time, and in this sense, music is ‘time made audible’. However, Langer also postulates a ‘strong suspension thesis’: the swallowing up of clock time in the illusion of felt time. In this essay, we take issue with the ‘strong suspension thesis’, its philosophic foundation and its implications. We (...) argue that this thesis is overstated and misdirecting insofar as it purports to describe what we experience when we hear music with understanding, and that it rests on a contested presupposition concerning the conceptual primacy of memory-time. (shrink)

Susanne Langer is mainly known as the American philosopher who, starting from her famous Philosophy in a New Key, worked in aesthetics and famously saw art as the product of the human mind’s most important, distinctive and remarkable ability, i.e., the ability to symbolise. But Langer’s later consideration of the connection between art and symbol is propagated by an early interest in the logic of symbols themselves. This rather neglected early part of Langer’s thought and her (...) early interests and lines of reasoning, which she somehow abandoned later on to dedicate herself exclusively to the study of art, are the topic of this paper. (shrink)

Susanne Langer’s idea of the primary apparition of music involves a dichotomy between two kinds of temporality: “felt time” and “clock time.” For Langer, musical time is exclusively felt time, and in this sense, music is “time made audible.” However, Langer also postulates what we would call ‘a strong suspension thesis’: the swallowing up of clock time in the illusion of felt time. In this paper we take issue with the ‘strong suspension thesis’ and its implications (...) and ramifications regarding not only musical meaning, but also the purported metaphysics of music construed as essentially inhering in felt time. We argue that this thesis is overstated and misdirecting insofar as it purports to describe what we experience when we hear music with understanding. We discuss a selection of examples of repetitive formations, from mediaeval music to contemporary music, which show that persistent, motion-inhibiting repetition undermines the listener’s ability to identify order and coherence due to a relative inability to anticipate the next occurrence of a differentiating musical event. We argue that Langer’s one-sided view of musical temporality, which patently relies on the conceptual framework of memory time and the specious present, exemplifies what we propose to call ‘the searchlight model of musical understanding,’ wherein the constant span of illumination of the searchlight (representing the span of the specious present) moves continuously parallel to, and along, its postulated target, i.e., the music heard, as it ‘illuminates’ it. We argue that, in the last analysis, memory time conceptually presupposes the publicly identifiable means of chronometric length. One maintains the ‘strong suspension thesis’ on pain of conceptual confusion. (shrink)

An aesthetic and epistemological departure from ocular centrism has occurred in the wake of current technological evolutions and the posthuman turn. The sonic exploration of the more-than-human takes artists and philosophers beyond anthropomorphism to reveal the hidden patterning of life forms and yet-unfathomed universes. The conflation of nature with culture is one shift that takes place when thinking with sounds and rhythm and studying our environments. On an ontological level, a reordering of subject and object occurs when encountering the reciprocal (...) relationship of sounding. What if culture is actually nature? How does technology connect with botany, and what does it mean to engage the environment with the expanded tactility of the ear? This essay observes current inter-species practices in sound art by revisiting philosopher Susanne Langer’s theory of an embodied and embedded mind. Her “new key” in philosophy emphasizes music as a dynamic sound-pattern to conceptualize a semiology of artistic forms that renders human feeling in regard to non-human antecedents. This serves as a tool to trace the preconceptual substrata of mind, leading us through process-oriented studies of nature and psychophysical affect. Thinking with Langer involves the interconnection of natural systems, behavioural patterns, and human expression, which emerges in art. (shrink)

In hindsight, it is primarily Susanne K. Langer’s theory of act, and only secondarily her theory of art, that is central to the conception of Vitality Semiotics. It focuses on affective, semiotically relevant forms that constitute our world experience, human social interaction, and ultimately art experience. Thus, this somewhat unusual distinction between these two aspects of Langer’s work is not only important for art and our understanding of the world, but can also be seen as fundamental to (...) social interaction and, furthermore, to the universal formation of culture(s). It is, as the article suggests, to be regarded as the basis of the conditio humana. (shrink)

Since the beginning of the 20th Century to the present day, it has rarely been doubted that whenever formal aesthetic methods meet their iconological counterparts, the two approaches appear to be mutually exclusive. In reality, though, an ahistorical concept is challenging a historical analysis of art. It is especially Susanne K. Langer´s long-overlooked system of analogies between perceptions of the world and of artistic creations that are dependent on feelings which today allows a rapprochement of these positions. Krois’s (...) insistence on a similar point supports this analysis. - I - Unbestritten bis heute gilt, formwissenschaftliche und ikonologische Methoden scheinen sich grundsätzlich auszuschließen, da die ersteren auf ahistorischen und die letzteren auf historischen Grundlagen aufbauen. Dem entgegen soll mit diesem Beitrag gezeigt werden, wie insbesondere die Forschungen Susanne K. Langers und ergänzend diejenigen von John M. Krois eine Annäherung beider Positionen ermöglichen. (shrink)

Is it true that there is an analogy between modes of creation and such of perception? Respective to the cultural anthropological research of Ernst Cassirer, Susanne K. Langer and John M. Krois and by the analysis of a tape of the Swiss video-artist Pipilotti Rist this initial thesis of Formal Aesthetics shall be supported. - I - -/- Lässt sich die Behauptung stützen, dass zwischen Gestaltungsweisen und Wahrnehmungsweisen eine Analogie besteht? Aufbauend auf den kulturanthropologischen Forschungen von Ernst Cassirer, (...) Susanne K. Langer und John M. Krois sowie der Analyse eines Tapes der Schweizer Videokünstlerin Pipilotti Rist gilt es diese ursprünglich von der formalen Ästhetik aufgeworfene These zu untermauern. (shrink)

Everyday media consumption leaves no doubt that the perception of moving images from various media is characterized by experience and understanding. Corresponding research in this field has shown that the stimulus patterns flooding in on us are not only processed mentally, but also bodily. Building on this, the following study argues that incoming stimuli are processed not only visually, but multimodally, with all senses, and moreover affectively. The classical binding of a sensory organ to a medium, on whose delimitation the (...) common understanding of multimodality is based, is thus abolished. Can arguments for this assumption be found? Building on the research of cultural anthropologist Ernst Cassirer and his successors, the two American philosophers Susanne K. Langer and John M. Krois, and supported by research from the life sciences in which, in parallel, the arts also play an important role in understanding image formation, as in the work of Heinz Werner and, following on from this, in the more recent research of the child psychologist Daniel N. Stern in collaboration with mirror neuron research by the group of neuroscientists around Giacomo Rizzolatti in Parma, justifications for this will be provided. What the multimodal processing of film images is concretely based on will finally be made clear by means of an exemplary analysis of a video film by the Swiss artist Pipilotti Rist. It aims to prove, that the prerequisites for the thesis can only lie in the fact, that both the modes of perception (visual, tactile, auditory, olfactory, gustatory) as well as the medially conditioned modes of image formation are based on non-discursive, formal-abstract structures that are also processed affectively. At the same time, the analysis thus shows how the selection and composition of the vital experienced forms can provide information about the socio-culturally shaped self-image of the producer and the viewer. (shrink)

To what extend is there a relevance of aesthetics for life? By postulating a non-discursive and emotional relevance of forms Cassirer, Langer and Krois open the door for this idea. -/- Inwieweit spielt die Ästhetik im Leben eine Rolle? Indem sowohl Cassirer, Langer und Krois eine nicht-diskursive und emotionale Relevanz von Formen unterstellen, öffnen sie die Türen für diese Idee.

The ability to form „images“ of our experiences with the world (imaging effect) and to adjust our drive and determination in accordance with those images (action effect) is what characterises men, as stipulated by Cassirer and subsequently confirmed by Langer and Krois. Special techniques are required to communicate to others the images of life and how we interpret them. The art as a technique does this masterly by presenting us the views of others on their experiences and wishes through (...) aesthetic experience. Therefore, it is necessary to analyse images not only with respect to their historical aspects based on experiences with the world but to emphasise their power to shape the future by their potential to affect our actions. - / - Die Fähigkeit „Bilder“ unserer Erfahrungen mit der Welt zu formen (Bildkraft) und unser Streben und Wollen (Tatkraft) nach ihnen auszurichten, das ist es, was den Menschen nach Cassirer – und nachfolgend auch nach Langer und Krois – auszeichnet. Voraussetzung dafür die Bilder des Lebens und das, was wir von ihnen halten, zu objektivieren und Anderen zu kommunizieren, bilden Techniken. Die Kunst als Technik ist darin eine Meisterin, indem sie uns über die ästhetische Erfahrung Anschauungen Anderer von ihren Erfahrungen und Wünschen, lebendig vor Augen zu führen vermag. Bei der Analyse von Bildern gilt es insofern nicht nur deren geschichtsträchtigen, auf Erfahrungen mit der Welt beruhenden Aspekte zu untersuchen, sondern vor allem auch deren zukunftsprägendes und damit unsere Tatkraft ansprechendes Potential. (shrink)

ABSTRACT: Alexander of Aphrodisias’ commentaries on Aristotle’s Organon are valuable sources for both Stoic and early Peripatetic logic, and have often been used as such – in particular for early Peripatetic hypothetical syllogistic and Stoic propositional logic. By contrast, this paper explores the role Alexander himself played in the development and transmission of those theories. There are three areas in particular where he seems to have made a difference: First, he drew a connection between certain passages from Aristotle’s Topics and (...) Prior Analytics and the Stoic indemonstrable arguments, and, based on this connection, appropriated at least four kinds of Stoic indemonstrables as Aristotelian. Second, he developed and made use of a specifically Peripatetic terminology in which to describe and discuss those arguments – which facilitated the integration of the indemonstrables into Peripatetic logic. Third, he made some progress towards a solution to the problem of what place and interpretation the Stoic third indemonstrables should be given in a Peripatetic and Platonist setting. Overall, the picture emerges that Alexander persistently (if not always consistently) presented passages from Aristotle’s logical œuvre in a light that makes it appear as if Aristotle was in the possession of a Peripatetic correlate to the Stoic theory of indemonstrables. (shrink)

A common method for warranting the historical adequacy of philosophical claims is that of relying on historical case studies. This paper addresses the question as to what evidential support historical case studies can provide to philosophical claims and doctrines. It argues that in order to assess the evidential functions of historical case studies, we first need to understand the methodology involved in producing them. To this end, an account of historical reconstruction that emphasizes the narrative character of historical accounts and (...) the theory-laden character of historical facts is introduced. The main conclusion of this paper is that historical case studies are able to provide philosophical claims with some evidential support, but that, due to theory-ladenness, their evidential import is restricted. (shrink)

Although artificial intelligence has been given an unprecedented amount of attention in both the public and academic domains in the last few years, its convergence with other transformative technologies like cloud computing, robotics, and augmented/virtual reality is predicted to exacerbate its impacts on society. The adoption and integration of these technologies within industry and manufacturing spaces is a fundamental part of what is called Industry 4.0, or the Fourth Industrial Revolution. The impacts of this paradigm shift on the human operators (...) who continue to work alongside and symbiotically with these technologies in the industry bring with it novel ethical issues. Therefore, how to design these technologies for human values becomes the critical area of intervention. This paper takes up the case study of robotic AI-based assistance systems to explore the potential value implications that emerge due to current design practices and use. The design methodology known as Value Sensitive Design (VSD) is proposed as a sufficient starting point for designing these technologies for human values to address these issues. (shrink)

This paper presents a survey of the literature on the problem of contingency in science. The survey is structured around three challenges faced by current attempts at understanding the conflict between “contingentist” and “inevitabilist” interpretations of scientific knowledge and practice. First, the challenge of definition: it proves hard to define the positions that are at stake in a way that is both conceptually rigorous and does justice to the plethora of views on the issue. Second, the challenge of distinction: some (...) features of the debate suggest that the contingency issue may not be sufficiently distinct from other philosophical debates to constitute a genuine, independent philosophical problem. And third, the challenge of decidability: it remains unclear whether and how the conflict could be settled on the basis of empirical evidence from the actual history of science. The paper argues that in order to make progress in the present debate, we need to distinguish more systematically between different expressions that claims about contingency and inevitability in science can take. To this end, it introduces a taxonomy of different contingency and inevitability claims. The taxonomy has the structure of an ordered quadruple. Each contingency and each inevitability claim contains an answer to the following four questions: (how) are alternatives to current science possible, what types of alternatives are we talking about, how should the alternatives be assessed, and how different are they from actual science? (shrink)

There is a trade-off between specificity and accuracy in existing models of belief. Descriptions of agents in the tripartite model, which recognizes only three doxastic attitudes—belief, disbelief, and suspension of judgment—are typically accurate, but not sufficiently specific. The orthodox Bayesian model, which requires real-valued credences, is perfectly specific, but often inaccurate: we often lack precise credences. I argue, first, that a popular attempt to fix the Bayesian model by using sets of functions is also inaccurate, since it requires us to (...) have interval-valued credences with perfectly precise endpoints. We can see this problem as analogous to the problem of higher order vagueness. Ultimately, I argue, the only way to avoid these problems is to endorse Insurmountable Unclassifiability. This principle has some surprising and radical consequences. For example, it entails that the trade-off between accuracy and specificity is in-principle unavoidable: sometimes it is simply impossible to characterize an agent’s doxastic state in a way that is both fully accurate and maximally specific. What we can do, however, is improve on both the tripartite and existing Bayesian models. I construct a new model of belief—the minimal model—that allows us to characterize agents with much greater specificity than the tripartite model, and yet which remains, unlike existing Bayesian models, perfectly accurate. (shrink)

In this extended essay, I argue that Frege plagiarized the Stoics --and I mean exactly that-- on a large scale in his work on the philosophy of logic and language as written mainly between 1890 and his death in 1925 (much of which published posthumously) and possibly earlier. I use ‘plagiarize' (or 'plagiarise’) merely as a descriptive term. The essay is not concerned with finger pointing or casting moral judgement. The point is rather to demonstrate carefully by means of detailed (...) evidence that there are numerous (over a hundred) and extensive parallels both in formulation and --more importantly-- in content between the Stoics and Frege, parallels so plentiful that one would be hard pressed to brush them off as coincidence. These parallels include several that appear to occur in no other modern works that were published before Frege’s own and were accessible to him. Additionally, a cluster of corroborating historical data is adduced to support the suggestion, showing how easy it would have to been for Frege to plagiarize the Stoics. This (first) part of the essay is easy to read and vaguely entertaining, or so I hope. -/- (Corrigendum: At school, Frege likely had seven, not ten, years of intensive Latin and four years of intensive ancient Greek courses.). (shrink)

ABSTRACT: Recently a bold and admirable interpretation of Chrysippus’ position on the Sorites has been presented, suggesting that Chrysippus offered a solution to the Sorites by (i) taking an epistemicist position1 which (ii) made allowances for higher-order vagueness. In this paper I argue (i) that Chrysippus did not take an epistemicist position, but − if any − a non-epistemic one which denies truth-values to some cases in a Sorites-series, and (ii) that it is uncertain whether and how he made allowances (...) for higher-order vagueness, but if he did, this was not grounded on an epistemicist position. (shrink)

This paper summarizes (in German) recent tendencies in the philosophy of the life sciences.

This paper analyzes the shifts in Wilhelm Windelband’s ‘critical philosophy of values’ as it developed hand in hand with his understanding of relativism. The paper has two goals. On the one hand, by analyzing the role that relativism played in his philosophical project, it seeks to contribute to a better understanding of Windelband's intellectual development in the context of historicism and Neo-Kantianism. On the other hand, by highlighting Windelband’s contribution to the understanding of relativism, it sheds light on an important (...) episode in the history of that problem. The paper distinguishes between three phases in Windelband’s thinking and shows that his views about relativism changed in close connection with his conception of history. The early Windelband thought that historicism was compatible with absolute validity because he was firmly convinced of historical progress. The mature Windelband rejected progress as a means for justifying validity and put the problem of relativism into sharp relief. In response to the failure of his mature philosophy to fend off relativism, the later Windelband strengthened the role of history again. The paper concludes that Windelband’s significance lies not in his arguments against relativism, but rather in having furthered philosophical understanding of the problems at stake. (shrink)

This paper seeks to re-assess Dilthey’s descriptive psychology in light of the charge of “psychologism”. The paper has two goals. First, I seek to give a fine-grained reconstruction of Dilthey’s foundational project. I provide a systematic account of how Dilthey sought to ground the knowledge claims of the human sciences in inner experience. I place special emphasis on Dilthey’s concept of “articulation” which mediates between inner experience and psychological knowledge, as well as between individual psychology and knowledge about the socio-historical (...) world. Second, I re-assess the allegedly “psychologistic” aspects of Dilthey’s philosophy. I reconstruct how Dilthey’s critics Husserl, Windelband and Rickert understood psychologism, highlight commonalities between them and explain why Dilthey’s approach seemed “psychologistic” from their perspective. At the same time, I show that Dilthey’s philosophical thinking goes against the very presuppositions that the “psychologism”-charges are usually based upon. The paper concludes with some reflections on the transition from Dilthey's descriptive psychology to his mature hermeneutics. (shrink)

This paper contends that Stoic logic (i.e. Stoic analysis) deserves more attention from contemporary logicians. It sets out how, compared with contemporary propositional calculi, Stoic analysis is closest to methods of backward proof search for Gentzen-inspired substructural sequent logics, as they have been developed in logic programming and structural proof theory, and produces its proof search calculus in tree form. It shows how multiple similarities to Gentzen sequent systems combine with intriguing dissimilarities that may enrich contemporary discussion. Much of Stoic (...) logic appears surprisingly modern: a recursively formulated syntax with some truth-functional propositional operators; analogues to cut rules, axiom schemata and Gentzen’s negation-introduction rules; an implicit variable-sharing principle and deliberate rejection of Thinning and avoidance of paradoxes of implication. These latter features mark the system out as a relevance logic, where the absence of duals for its left and right introduction rules puts it in the vicinity of McCall’s connexive logic. Methodologically, the choice of meticulously formulated meta-logical rules in lieu of axiom and inference schemata absorbs some structural rules and results in an economical, precise and elegant system that values decidability over completeness. (shrink)

We argue that the extant evidence for Stoic logic provides all the elements required for a variable-free theory of multiple generality, including a number of remarkably modern features that straddle logic and semantics, such as the understanding of one- and two-place predicates as functions, the canonical formulation of universals as quantified conditionals, a straightforward relation between elements of propositional and first-order logic, and the roles of anaphora and rigid order in the regimented sentences that express multiply general propositions. We consider (...) and reinterpret some ancient texts that have been neglected in the context of Stoic universal and existential propositions and offer new explanations of some puzzling features in Stoic logic. Our results confirm that Stoic logic surpasses Aristotle’s with regard to multiple generality, and are a reminder that focusing on multiple generality through the lens of Frege-inspired variable-binding quantifier theory may hamper our understanding and appreciation of pre-Fregean theories of multiple generality. (shrink)

This chapter traces the development of relativist ideas in nineteenth-century debates about history and historical knowledge. It distinguishes between two contexts in which these ideas first emerged. First, the early-to-mid nineteenth-century encounter between speculative German idealism and professional historiography. Second, the late nineteenth-century debate between hermeneutic philosophy and orthodox Neo-Kantianism. The paper summarizes key differences between these two contexts: in the former, historical ontology and historical methodology formed a unity, in the latter, they came apart. As a result, the idea (...) of universal history became increasingly problematic. In light of these differences, the paper seeks to (partially) explain why it was only towards the late-nineteenth century that historical relativism became an explicit concern. (shrink)

Most descriptions of higher-order vagueness in terms of traditional modal logic generate so-called higher-order vagueness paradoxes. The one that doesn't is problematic otherwise. Consequently, the present trend is toward more complex, non-standard theories. However, there is no need for this.In this paper I introduce a theory of higher-order vagueness that is paradox-free and can be expressed in the first-order extension of a normal modal system that is complete with respect to single-domain Kripke-frame semantics. This is the system QS4M+BF+FIN. It corresponds (...) to the class of transitive, reflexive and final frames. With borderlineness defined logically as usual, it then follows that something is borderline precisely when it is higher-order borderline, and that a predicate is vague precisely when it is higher-order vague.Like Williamson's, the theory proposed here has no clear borderline cases in Sorites sequences. I argue that objections that there must be clear borderline cases ensue from the confusion of two notions of borderlineness—one associated with genuine higher-order vagueness, the other employed to sort objects into categories—and that the higher-order vagueness paradoxes result from superimposing the second notion onto the first. Lastly, I address some further potential objections. (shrink)

Intuitionistic logic provides an elegant solution to the Sorites Paradox. Its acceptance has been hampered by two factors. First, the lack of an accepted semantics for languages containing vague terms has led even philosophers sympathetic to intuitionism to complain that no explanation has been given of why intuitionistic logic is the correct logic for such languages. Second, switching from classical to intuitionistic logic, while it may help with the Sorites, does not appear to offer any advantages when dealing with the (...) so-called paradoxes of higher-order vagueness. We offer a proposal that makes strides on both issues. We argue that the intuitionist’s characteristic rejection of any third alethic value alongside true and false is best elaborated by taking the normal modal system S4M to be the sentential logic of the operator ‘it is clearly the case that’. S4M opens the way to an account of higher-order vagueness which avoids the paradoxes that have been thought to infect the notion. S4M is one of the modal counterparts of the intuitionistic sentential calculus and we use this fact to explain why IPC is the correct sentential logic to use when reasoning with vague statements. We also show that our key results go through in an intuitionistic version of S4M. Finally, we deploy our analysis to reply to Timothy Williamson’s objections to intuitionistic treatments of vagueness. (shrink)

ABSTRACT: In this paper I argue (i) that the hypothetical arguments about which the Stoic Chrysippus wrote numerous books (DL 7.196) are not to be confused with the so-called hypothetical syllogisms" but are the same hypothetical arguments as those mentioned five times in Epictetus (e.g. Diss. 1.25.11-12); and (ii) that these hypothetical arguments are formed by replacing in a non-hypothetical argument one (or more) of the premisses by a Stoic "hypothesis" or supposition. Such "hypotheses" or suppositions differ from propositions in (...) that they have a specific logical form and no truth-value. The reason for the introduction of a distinct class of hypothetical arguments can be found in the context of dialectical argumentation. The paper concludes with the discussion of some evidence for the use of Stoic hypothetical arguments in ancient texts. (shrink)

ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules which (...) establish the formal validity of non-indemonstrable arguments by analysing them in one or more steps into one or more indemonstrable arguments (cut type rules and antilogism). The function of these rules is to reduce given non-indemonstrable arguments to indemonstrable syllogisms. Moreover, the Stoic method of deduction differs from standard modern ones in that the direction is reversed (similar to tableau methods). The Stoic system may hence be called an argumental reductive system of deduction. In this paper, a reconstruction of this system of logic is presented, and similarities to relevance logic are pointed out. (shrink)

ABSTRACT: This paper argues that the so-called paradoxes of higher-order vagueness are the result of a confusion between higher-order vagueness and the distribution of the objects of a Sorites series into extensionally non-overlapping non-empty classes.

In this paper I revisit nineteenth-century debates over historical objectivity and the political functions of historiography. I focus on two central contributors to these debates: Leopold von Ranke and Johann Gustav Droysen. In their takes on objectivity and subjectivity, impartiality and political engagement I reveal diametrically opposed solutions to shared concerns: how can historians reveal history to be meaningful without taking recourse to speculative philosophy? And how can they produce a knowledge that is relevant to the present when the project (...) of “exemplary” history has been abandoned? I put a special focus on the relativist themes in Ranke’s and Droysen’s answers to these questions. Ranke’s demand for impartiality leads him to think of all historical epochs as equally valid, while Droysen’s emphasis on the historian’s subjectivity relativizes historical truth. In order to explain why Ranke and Droysen nevertheless remained unfazed by the problem of historical relativism, I analyze their normative conceptions of the historian’s disciplinary ethos. I show that Ranke and Droysen think of objective impartiality and subjective partiality not only in methodological terms, but also in terms of justice and ethic duty. This normative element secures the professional study of history an ethical-political relevance for the present. (shrink)

ABSTRACT: This paper traces the earliest development of the most basic principle of deduction, i.e. modus ponens (or Law of Detachment). ‘Aristotelian logic’, as it was taught from late antiquity until the 20th century, commonly included a short presentation of the argument forms modus (ponendo) ponens, modus (tollendo) tollens, modus ponendo tollens, and modus tollendo ponens. In late antiquity, arguments of these forms were generally classified as ‘hypothetical syllogisms’. However, Aristotle did not discuss such arguments, nor did he call any (...) arguments ‘hypothetical syllogisms’. The Stoic indemonstrables resemble the modus ponens/tollens arguments. But the Stoics never called them ‘hypothetical syllogisms’; nor did they describe them as ponendo ponens, etc. The tradition of the four argument forms and the classification of the arguments as hypothetical syllogisms hence need some explaining. In this paper, I offer some explanations by tracing the development of certain elements of Aristotle’s logic via the early Peripatetics to the logic of later antiquity. I consider the questions: How did the four argument forms arise? Why were there four of them? Why were arguments of these forms called ‘hypothetical syllogisms’? On what grounds were they considered valid? I argue that such arguments were neither part of Aristotle’s dialectic, nor simply the result of an adoption of elements of Stoic logic, but the outcome of a long, gradual development that begins with Aristotle’s logic as preserved in his Topics and Prior Analytics; and that, as a result, we have a Peripatetic logic of hypothetical inferences which is a far cry both from Stoic logic and from classical propositional logic, but which sports a number of interesting characteristics, some of which bear a cunning resemblance to some 20th century theories. (shrink)

The purpose of this paper is to challenge some widespread assumptions about the role of the modal axiom 4 in a theory of vagueness. In the context of vagueness, axiom 4 usually appears as the principle ‘If it is clear (determinate, definite) that A, then it is clear (determinate, definite) that it is clear (determinate, definite) that A’, or, more formally, CA → CCA. We show how in the debate over axiom 4 two different notions of clarity are in play (...) (Williamson-style "luminosity" or self-revealing clarity and concealeable clarity) and what their respective functions are in accounts of higher-order vagueness. On this basis, we argue first that, contrary to common opinion, higher-order vagueness and S4 are perfectly compatible. This is in response to claims like that by Williamson that, if vagueness is defined with the help of a clarity operator that obeys axiom 4, higher-order vagueness disappears. Second, we argue that, contrary to common opinion, (i) bivalence-preservers (e.g. epistemicists) can without contradiction condone axiom 4 (by adopting what elsewhere we call columnar higher-order vagueness), and (ii) bivalence-discarders (e.g. open-texture theorists, supervaluationists) can without contradiction reject axiom 4. Third, we rebut a number of arguments that have been produced by opponents of axiom 4, in particular those by Williamson. (The paper is pitched towards graduate students with basic knowledge of modal logic.). (shrink)

The professionalization of the study of history in the Nineteenth Century made possible a new way of thinking about the history of philosophy: the thought emerged that philosophy itself might be relative to time, historical culture, and nationality. The simultaneous demise of speculative metaphysics scattered philosophers’ confidence that the historical variance of philosophical systems could be viewed in terms of the teleological self-realization of reason. Towards the late Nineteenth Century, philosophers began to explicitly address the worry that all philosophical systems (...) might have only relative validity. This paper compares two key figures in late-nineteenth-century debates concerning historical relativism: Wilhelm Windelband and Wilhelm Dilthey. Beneath the deep disagreements between these two authors, it reveals their common concern to immunize philosophy from the threat of historical relativism. The paper traces how both philosophers sought to fend off relativism by defending the idea of an ahistorical and permanent stratum of philosophical thinking. And it argues that although they succeeded in blocking historical versions of relativism, they did so at the cost of incurring a relativism vis-à-vis philosophical systems. This relativism turned out to be rooted not in the historicity of philosophy but in the timeless essence of philosophical reasoning itself. (shrink)

ABSTRACT: I argue that there is no evidence that Epicurus dealt with the kind of free-will problem he is traditionally associated with; i.e. that he discussed free choice or moral responsibility grounded on free choice, or that the "swerve" was involved in decision processes. Rather, for Epicurus, actions are fully determined by the agent's mental disposition at the outset of the action. Moral responsibility presupposes not free choice but that the person is unforced and causally responsible for the action. This (...) requires the agent's ability to influence causally, on the basis of their beliefs, the development of their behavioral dispositions. The "swerve" was intended to explain the non-necessity of agency without undermining Epicurus' atomistic explanation of the order in the universe, viz. by making the mental dispositions of adults non-necessary. (shrink)

Bobzien’s reply to a defamatory blogpost on her essay ‘Frege plagiarized the Stoics’ in which she is accused among other things of plagiarism (!), and deliberate deception, and which contains a large number of falsehoods. (This reply is a minor contribution to the discussion of 'Frege plagiarized the Stoics', simply setting the record straight. It contains no important philosophical content whatsoever.).

ABSTRACT: In antiquity we encounter a distinction of two types of hypothetical syllogisms. One type are the ‘mixed hypothetical syllogisms’. The other type is the one to which the present paper is devoted. These arguments went by the name of ‘wholly hypothetical syllogisms’. They were thought to make up a self-contained system of valid arguments. Their paradigm case consists of two conditionals as premisses, and a third as conclusion. Their presentation, either schematically or by example, varies in different authors. For (...) instance, we find ‘If (it is) A, (it is) B; if (it is) B, (it is) C; therefore, if (it is) A, (it is) C’. The main contentious point about these arguments is what the ancients thought their logical form was. Are A, B, C schematic letters for terms or propositions? Is ‘is’, where it occurs, predicative, existential, or veridical? That is, should ‘A esti’ be translated as ‘it is an A’, ‘A exists’, ‘As exist’ or ‘It is true/the case that A’? If A, B, C are term letters, and ‘is’ is predicative, are the conditionals quantified propositions or do they contain designators? If one cannot answer these questions, one can hardly claim to know what sort of arguments the wholly hypothetical syllogisms were. In fact, all the above-mentioned possibilities have been taken to describe them correctly. In this paper I argue that it would be mistaken to assume that in antiquity there was one prevalent understanding of the logical form of these arguments - even if the ancients thought they were all talking about the same kind of argument. Rather, there was a complex development in their understanding, starting from a term-logical conception and leading to a propositional-logical one. I trace this development from Aristotle to Philoponus and set out the deductive system on which the logic of the wholly hypothetical syllogisms was grounded. (shrink)

ABSTRACT: This paper serves two purposes: (i) it can be used by students as an introduction to chapters 1-5 of book iii of the NE; (ii) it suggests an answer to the unresolved question what overall objective this section of the NE has. The paper focuses primarily on Aristotle’s theory of what makes us responsible for our actions and character. After some preliminary observations about praise, blame and responsibility (Section 2), it sets out in detail how all the key notions (...) of NE iii 1-5 are interrelated (Sections 3-9). The setting-out of these interconnections makes it then possible to provide a comprehensive interpretation of the purpose of the passage. Its primary purpose is to explain how agents are responsible for their actions not just insofar as they are actions of this kind or that, but also insofar as they are noble or base: agents are responsible for their actions qua noble or base, because, typically via choice, their character dispositions are a causal factor of those actions (Section 10). The paper illustrates the different ways in which agents can be causes of their actions by means of Aristotle’s four basic types of agents (Section 11). A secondary purpose of NE iii 1-5 is to explain how agents can be held responsible for consequences of their actions (Section 12), in particular for their character dispositions insofar as these are noble or base, i.e. virtues or vices (Section 13). These two goals are not the only ones Aristotle pursues in the passage. But they are the ones Aristotle himself indicates in its first sentence and summarizes in its last paragraph; and the ones that give the passage a systematic unity. The paper also briefly consider the issues of freedom-to-do-otherwise, free choice and free-will in the contexts in which they occur (i.e. in the final paragraphs of Sections 6, 7, 12, 13). (shrink)

ABSTRACT: A very brief summary presentation of western ancient logic for the non-specialized reader, from the beginnings to Boethius. For a much more detailed presentation see my "Ancient Logic" in the Stanford Encyclopedia of Philosopy (also on PhilPapers).

Since Mates’ seminal Stoic Logic there has been uncertainty and debate about how to treat the term anapodeiktos when used of Stoic syllogisms. This paper argues that the customary translation of anapodeiktos by ‘indemonstrable’ is accurate, and it explains why this is so. At the heart of the explanation is an argument that, contrary to what is commonly assumed, indemonstrability is rooted in the generic account of the Stoic epistemic notion of demonstration. Some minor insights into Stoic logic ensue.

ABSTRACT: This is a short companion piece to my ‘Found in Translation – Aristotle’s Nicomachean Ethics III.5 1113b7-8 and its Reception’ in which I examine in close textual analysis the philosophical question whether these two lines from the Nicomachean Ethics provide any evidence that Aristotle discussed free choice – as is not infrequently assumed. The result is that they do not, and that the claim that they do tends to be based on a mistranslation of the Greek. (There is some (...) inevitable overlap with Part 1 of the 'Found in Translation' paper.). (shrink)

Previous research in Explainable Artificial Intelligence (XAI) suggests that a main aim of explainability approaches is to satisfy specific interests, goals, expectations, needs, and demands regarding artificial systems (we call these “stakeholders' desiderata”) in a variety of contexts. However, the literature on XAI is vast, spreads out across multiple largely disconnected disciplines, and it often remains unclear how explainability approaches are supposed to achieve the goal of satisfying stakeholders' desiderata. This paper discusses the main classes of stakeholders calling for explainability (...) of artificial systems and reviews their desiderata. We provide a model that explicitly spells out the main concepts and relations necessary to consider and investigate when evaluating, adjusting, choosing, and developing explainability approaches that aim to satisfy stakeholders' desiderata. This model can serve researchers from the variety of different disciplines involved in XAI as a common ground. It emphasizes where there is interdisciplinary potential in the evaluation and the development of explainability approaches. (shrink)

This paper analyses the methodological writings of the nineteenth century historian Johann Gustav Droysen. It explores how Droysen integrates the political and methodological aspects of historiography. The paper shows that Droysen relies on a procedure of “affirmative genealogy” which, in turn, is based on a concept of historical continuity. On Droysen’s account, historical continuity enables “historical understanding”. And the understanding of historical continuities provides the statesman – the “practical historian” – with a solid basis for political decision making.

ABSTRACT: An introduction to Stoic logic. Stoic logic can in many respects be regarded as a fore-runner of modern propositional logic. I discuss: 1. the Stoic notion of sayables or meanings (lekta); the Stoic assertibles (axiomata) and their similarities and differences to modern propositions; the time-dependency of their truth; 2.-3. assertibles with demonstratives and quantified assertibles and their truth-conditions; truth-functionality of negations and conjunctions; non-truth-functionality of disjunctions and conditionals; language regimentation and ‘bracketing’ devices; Stoic basic principles of propositional logic; 4. (...) Stoic modal logic; 5. Stoic theory of arguments: two premisses requirement; validity and soundness; 6. Stoic syllogistic or theory of formally valid arguments: a reconstruction of the Stoic deductive system, which consisted of accounts of five types of indemonstrable syllogisms, which function as nullary argumental rules that identify indemonstrables or axioms of the system, and four deductive rules (themata) by which certain complex arguments can be reduced to indemonstrables and thus shown to be formally valid themselves; 7. arguments that were considered as non-syllogistically valid (subsyllogistic and unmethodically concluding arguments). Their validity was explained by recourse to formally valid arguments. (shrink)

ABSTRACT: This paper discusses ancient versions of paradoxes today classified as paradoxes of presupposition and how their ancient solutions compare with contemporary ones. Sections 1-4 air ancient evidence for the Fallacy of Complex Question and suggested solutions, introduce the Horn Paradox, consider its authorship and contemporary solutions. Section 5 reconstructs the Stoic solution, suggesting the Stoics produced a Russellian-type solution based on a hidden scope ambiguity of negation. The difference to Russell's explanation of definite descriptions is that in the Horn (...) Paradox the Stoics uncovered a hidden conjunction rather than a hidden existential sentence. Sections 6 and 7 investigate hidden ambiguities in 'to have' and 'to lose' (including inalienable and alienable possession) and ambiguities of quantification based on substitution of indefinite plural expressions for indefinite or anaphoric pronouns, and Stoic awareness of these. Section 8 considers metaphorical readings and allusions that add further spice to the paradox. (shrink)