This brief text assists students in understanding Kuhn's philosophy and thinking so they can more fully engage in useful, intelligent class dialogue and improve their understanding of course content. Part of the Wadsworth Notes Series, (which will eventually consist of approximately 100 titles, each focusing on a single "thinker" from ancient times to the present), ON KUHN is written by a philosopher deeply versed in the philosophy of this key thinker. Like other books in the series, this concise book offers (...) sufficient insight into the thinking of a notable philosopher, better enabling students to engage in reading and to discuss the material in class and on paper. (shrink)

One of the fundamental problems of epistemology is to say when the evidence in an agent’s possession justifies the beliefs she holds. In this paper and its prequel, we defend the Bayesian solution to this problem by appealing to the following fundamental norm: Accuracy An epistemic agent ought to minimize the inaccuracy of her partial beliefs. In the prequel, we made this norm mathematically precise; in this paper, we derive its consequences. We show that the two core tenets of Bayesianism (...) follow from the norm, while the characteristic claim of the Objectivist Bayesian follows from the norm along with an extra assumption. Finally, we consider Richard Jeffrey’s proposed generalization of conditionalization. We show not only that his rule cannot be derived from the norm, unless the requirement of Rigidity is imposed from the start, but further that the norm reveals it to be illegitimate. We end by deriving an alternative updating rule for those cases in which Jeffrey’s is usually supposed to apply. (shrink)

In Epistemic Entitlement. The Right to Believe Hannes Ole Matthiessen develops a social externalist account of epistemic entitlement and perceptual knowledge. The basic idea is that positive epistemic status should be understood as a specific kind of epistemic right, that is a right to believe. Since rights have consequences for how others are required to treat the bearer of the right, they have to be publicly accessible. The author therefore suggests that epistemic entitlement can plausibly be conceptualized as a (...) status that is grounded in a publicly observable perceptual situation, rather than in a perceptual experience as current theories of epistemic entitlement state. It is then argued that such a social externalist account of entitlement, in which the perceiver's epistemic perspective becomes relevant only in the exceptional case where an entitlement is challenged, can nevertheless do justice to our central intuitions about first-personal epistemic phenomenology. (shrink)

Drawing on the results of modem psychology and cognitive science we suggest that the traditional theory of concepts is no longer tenable, and that the alternative account proposed by Kuhn may now be seen to have independent empirical support quite apart from its success as part of an account of scientific change. We suggest that these mechanisms can also be understood as special cases of general cognitive structures revealed by cognitive science. Against this background, incommensurability is not an insurmountable obstacle (...) to accepting Kuhn's position, as many philosophers of science still believe. Rather it becomes a natural consequence of cognitive structures that appear in all human beings. (shrink)

This essay develops a joint theory of rational (all-or-nothing) belief and degrees of belief. The theory is based on three assumptions: the logical closure of rational belief; the axioms of probability for rational degrees of belief; and the so-called Lockean thesis, in which the concepts of rational belief and rational degree of belief figure simultaneously. In spite of what is commonly believed, this essay will show that this combination of principles is satisfiable (and indeed nontrivially so) and that the principles (...) are jointly satisfied if and only if rational belief is equivalent to the assignment of a stably high rational degree of belief. Although the logical closure of belief and the Lockean thesis are attractive postulates in themselves, initially this may seem like a formal “curiosity”; however, as will be argued in the rest of the essay, a very reasonable theory of rational belief can be built around these principles that is not ad hoc and that has various philosophical features that are plausible independently. In particular, this essay shows that the theory allows for a solution to the Lottery Paradox, and it has nice applications to formal epistemology. The price that is to be paid for this theory is a strong dependency of belief on the context, where a context involves both the agent's degree of belief function and the partitioning or individuation of the underlying possibilities. But as this essay argues, that price seems to be affordable. (shrink)

Drawing on an idea proposed by Darwin, it has recently been hypothesised that violent intergroup conflict might have played a substantial role in the evolution of human cooperativeness and altruism. The central notion of this argument, dubbed ‘parochial altruism’, is that the two genetic or cultural traits, aggressiveness against out-groups and cooperativeness towards the in-group, including self-sacrificial altruistic behaviour, might have coevolved in humans. This review assesses the explanatory power of current theories of ‘parochial altruism’. After a brief synopsis of (...) the existing literature, two pitfalls in the interpretation of the most widely used models are discussed: potential direct benefits and high relatedness between group members implicitly induced by assumptions about conflict structure and frequency. Then, a number of simplifying assumptions made in the construction of these models are pointed out which currently limit their explanatory power. Next, relevant empirical evidence from several disciplines which could guide future theoretical extensions is reviewed. Finally, selected alternative accounts of evolutionary links between intergroup conflict and intragroup cooperation are briefly discussed which could be integrated with parochial altruism in the future. (shrink)

One of the fundamental problems of epistemology is to say when the evidence in an agent’s possession justifies the beliefs she holds. In this paper and its sequel, we defend the Bayesian solution to this problem by appealing to the following fundamental norm: Accuracy An epistemic agent ought to minimize the inaccuracy of her partial beliefs. In this paper, we make this norm mathematically precise in various ways. We describe three epistemic dilemmas that an agent might face if she attempts (...) to follow Accuracy, and we show that the only inaccuracy measures that do not give rise to such dilemmas are the quadratic inaccuracy measures. In the sequel, we derive the main tenets of Bayesianism from the relevant mathematical versions of Accuracy to which this characterization of the legitimate inaccuracy measures gives rise, but we also show that Jeffrey conditionalization has to be replaced by a different method of update in order for Accuracy to be satisfied. (shrink)

In everyday life we either express our beliefs in all-or-nothing terms or we resort to numerical probabilities: I believe it's going to rain or my chance of winning is one in a million. The Stability of Belief develops a theory of rational belief that allows us to reason with all-or-nothing belief and numerical belief simultaneously.

This paper spells out Husserl’s account of the exercise of rationality and shows how it is tied to the capacity for critical reflection. I first discuss Husserl’s views on what rationally constrains our intentionality. Then I localize the exercise of rationality in the positing that characterizes attentive forms of intentionality and argue that, on Husserl’s account, when we are attentive to something we are also pre-reflectively aware of what speaks for and against our taking something to be a certain way. (...) After discussing the conditions under which this pre-reflective awareness gives way to reflective deliberation, I contrast this account to a compelling Kantian-inspired account of the activity of reason that has recently been developed by Matthew Boyle. In particular, I argue that Husserl delimits the scope of the exercise of rationality differently than Boyle, and I show how this implies different accounts of the self. (shrink)

TABLE OF CONTENTS -/- * Inhalt * Verletzende Worte. Eine Einleitung * Sprache als Gewalt oder: Warum verletzen Worte? * Bedingungen für den Erfolg von Degradierungszeremonien * Gesichtsbedrohende Akte * Die Dialektik von Herausforderung und Erwiderung der Herausforderung * Sprechakte und unsprechbare Akte * Diskriminierende Sprechakte. Ein funktionaler Ansatz * Symbolische Verletzbarkeit und sprachliche Gewalt * Über die Körperkraft von Sprache * Die geraubte Stimme * Nach dem angeblichen Ende der ›Sprachvergessenheit‹: Vorläufige Fragen zur Unvermeidlichkeit der * Verletzung Anderer in (...) und mit Worten * Verletzende Anerkennung. Über das Verhältnis von Anerkennung, Subjektkonstitution und ›sozialer Gewalt‹ * Zur Praxis verbaler Gewalt unter Schülerinnen und Schülern * Sprachliche Strategien verbaler Ablehnung in öffentlichen Diskussionsforen im Internet * Zur Sprache der Sprachlosen. Ebenen der Gewalt in der diskursiven Produktion von Behinderung * Words like violence. Konstellationen des Unvernehmens * Die Autorinnen und Autoren * Nachweise. (shrink)

This is part A of a paper in which we defend a semantics for counterfactuals which is probabilistic in the sense that the truth condition for counterfactuals refers to a probability measure. Because of its probabilistic nature, it allows a counterfactual ‘ifAthenB’ to be true even in the presence of relevant ‘Aand notB’-worlds, as long such exceptions are not too widely spread. The semantics is made precise and studied in different versions which are related to each other by representation theorems. (...) Despite its probabilistic nature, we show that the semantics and the resulting system of logic may be regarded as a naturalistically vindicated variant of David Lewis’ truth-conditional semantics and logic of counterfactuals. At the same time, the semantics overlaps in various ways with the non-truth-conditional suppositional theory for conditionals that derives from Ernest Adams’ work. We argue that counterfactuals have two kinds of pragmatic meanings and come attached with two types of degrees of acceptability or belief, one being suppositional, the other one being truth based as determined by our probabilistic semantics; these degrees could not always coincide due to a new triviality result for counterfactuals, and they should not be identified in the light of their different interpretation and pragmatic purpose. However, for plain assertability the difference between them does not matter. Hence, if the suppositional theory of counterfactuals is formulated with sufficient care, our truth-conditional theory of counterfactuals is consistent with it. The results of our investigation are used to assess a claim considered by Hawthorne and Hájek, that is, the thesis that most ordinary counterfactuals are false. (shrink)

When do children acquire a propositional attitude folk psychology or theory of mind? The orthodox answer to this central question of developmental ToM research had long been that around age 4 children begin to apply “belief” and other propositional attitude concepts. This orthodoxy has recently come under serious attack, though, from two sides: Scoffers complain that it over-estimates children’s early competence and claim that a proper understanding of propositional attitudes emerges only much later. Boosters criticize the orthodoxy for underestimating early (...) competence and claim that even infants ascribe beliefs. In this paper, the orthodoxy is defended on empirical grounds against these two kinds of attacks. On the basis of new evidence, not only can the two attacks safely be countered, but the orthodox claim can actually be strengthened, corroborated and refined: what emerges around age 4 is an explicit, unified, flexibly conceptual capacity to ascribe propositional attitudes. This unified conceptual capacity contrasts with the less sophisticated, less unified implicit forms of tracking simpler mental states present in ontogeny long before. This refined version of the orthodoxy can thus most plausibly be spelled out in some form of 2-systems-account of theory of mind. (shrink)

Business scholars have recently proposed that the virtue of personal wisdom may predict leadership behaviors and the quality of leader–follower relationships. This study investigated relationships among leaders’ personal wisdom—defined as the integration of advanced cognitive, reflective, and affective personality characteristics (Ardelt, Hum Dev 47:257–285, 2004)—transformational leadership behaviors, and leader–member exchange (LMX) quality. It was hypothesized that leaders’ personal wisdom positively predicts LMX quality and that intellectual stimulation and individualized consideration, two dimensions of transformational leadership, mediate this relationship. Data came from (...) 75 religious leaders and 1–3 employees of each leader (N = 158). Results showed that leaders’ personal wisdom had a positive indirect effect on follower ratings of LMX quality through individualized consideration, even after controlling for Big Five personality traits, emotional intelligence, and narcissism. In contrast, intellectual stimulation and the other two dimensions of transformational leadership (idealized influence and inspirational motivation) did not mediate the positive relationship between leaders’ personal wisdom and LMX quality. Implications for future research on personal wisdom and leadership are discussed, and some tentative suggestions for leadership development are outlined. (shrink)

This article investigates the deep-rooted logical structures underlying our thinking about other animals with a particular focus on topics relevant for cognitive primate research. We begin with a philosophical propaedeutic that makes perspicuous how we are to differentiate ontological from epistemological considerations regarding primates, while also accounting for the many perplexities that will undoubtedly be encountered upon applying this difference to concrete phenomena. Following this, we give an account of what is to be understood by the assertion of a thesis (...) of anthropological difference, identifying, inter alia, a property that fulfils the exclusivity, universality, and constitution criteria and demarcates the differentia specifica between humans and other animals. Also, we systematically develop how such theses can be formulated more moderately. Furthermore, we account for different theoretical frameworks, argumentative schemes, and sociological factors whose employment is associated with theses as such. This endeavor is carried out under the guise of anthropomorphism and anthropodenial. Doing so, we show that both are favored by the logic of cognitive primate research. Put briefly, concepts like cladistic parsimony and arguments by analogy favor anthropomorphism whereas concepts like traditional parsimony and Morgan’s canon favor anthropodenial. We close by framing these topics in the light of the self-other category mistake that lies in ascribing exclusive self-properties to some other. Lastly, we probe this category mistake for potency and scope of implications and find it to be central to and unavoidably ingrained in our thinking about other animals. (shrink)

I will defend the claim that we need to differentiate between thinking and reasoning in order to make progress in understanding the intricate relation between language and mind. The distinction between thinking and reasoning will allow us to apply a structural equivalent of Ludwig Wittgenstein’s Private Language Argument to the domain of mind and language. This argumentative strategy enables us to show that and how a certain subcategory of cognitive processes, namely reasoning, is constitutively dependent on language. The final outcome (...) and claim of this paper can be summarized as follows: We can think without language, but we cannot reason without language. While this still leaves several questions about the relation between mind and language unanswered, I hold that the insights defended in this paper provide the basis and proper framework for further investigation about the relationship between language and the mind.Keywords: Private language argument, Wittgenstein, thought/mind and language, reasoning, linguistic relativity, non-linguistic cognition. (shrink)

This paper suggests a bridge principle for all-or-nothing belief and degrees of belief to the effect that belief corresponds to stably high degree of belief. Different ways of making this Humean thesis on belief precise are discussed, and one of them is shown to stand out by unifying the others. The resulting version of the thesis proves to be fruitful in entailing the logical closure of belief, the Lockean thesis on belief, and coherence between decision-making based on all-or-nothing beliefs and (...) on degrees of belief. (shrink)

We investigate the research programme of dynamic doxastic logic (DDL) and analyze its underlying methodology. The Ramsey test for conditionals is used to characterize the logical and philosophical differences between two paradigmatic systems, AGM and KGM, which we develop and compare axiomatically and semantically. The importance of Gärdenfors’s impossibility result on the Ramsey test is highlighted by a comparison with Arrow’s impossibility result on social choice. We end with an outlook on the prospects and the future of DDL.

In this book, Hannes Charen presents an alternative examination of kinship structures in political theory. Employing a radically transdisciplinary approach, On the Politics of Kinship is structured in a series of six theoretical vignettes or frames. Each chapter frames a figure, aspect, or relational context of the family or kinship. Some chapters are focused on a critique of the family as a state-sanctioned institution, while others cautiously attempt to recast kinship in a way to reimagine mutual obligation through the (...) generation of kinship practices understood as a perpetually evolving set of relational responses to finitude. In doing so, Charen considers the ways in which kinship is a plastic social response to embodied exposure, both concealed and made more evident in the bloated, feeble, and broken individualities and nationalities that seem to dominate our social and political landscape today. On the Politics of Kinship will be of interest to political theorists, feminists, anthropologists, and social scientists in general. (shrink)

Gotthold Ephraim Lessing stands out among the thinkers of the 18th century for his refusal to synthesize theology and philosophy. But due to his notorious ambivalence about religious questions, even Lessing’s contemporaries remained uncertain whether he ultimately sided with the former or the latter. The short dialogue Hercules and Omphale is, to the detriment of research on this topic, largely unknown. I show that the dialogue offers in a nutshell Lessing’s comprehensive analysis of the intellectual and religious situation of his (...) time. By calling on the mythical travesty of the Asian queen and the Greek hero, Lessing illustrates the mutual attraction that has led astray both Enlightenment philosophy and contemporary Lutheran orthodoxy. Implicitly, his diagnosis of the aberrations of philosophy and theology sheds light on Lessing’s own position. The twofold criticism is an attempt to restore theology as well as philosophy in their genuine forms and to reestablish their proper relationship. Through his twofold restitutio in integrum, Lessing is able to reopen the quarrel between orthodoxy and the Enlightenment and, thus, to radically renew the all but forgotten theologico-philosophical antagonism. (shrink)

In discussions about whether the Principle of the Identity of Indiscernibles is compatible with structuralist ontologies of mathematics, it is usually assumed that individual objects are subject to criteria of identity which somehow account for the identity of the individuals. Much of this debate concerns structures that admit of non-trivial automorphisms. We consider cases from graph theory that violate even weak formulations of PII. We argue that (i) the identity or difference of places in a structure is not to be (...) accounted for by anything other than the structure itself and that (ii) mathematical practice provides evidence for this view. We want to thank Leon Horsten, Jeff Ketland, Øystein Linnebo, John Mayberry, Richard Pettigrew, and Philip Welch for valuable comments on drafts of this paper. We are especially grateful to Fraser MacBride for correcting our interpretation of two of his papers and for other helpful comments. CiteULike Connotea Del.icio.us What's this? (shrink)

Excessive alcohol consumption can have adverse effects on health, and patients who suffer from alcohol use disorders are subject to much stigmatization. Nurses are often the first point of contact when patients enter the acute medical unit, and it is pivotal that this contact establishes the basis for future collaboration. The aim of this study is to elucidate nurses’ lived experience of providing care to patients suffering from alcohol use disorders. This present study has a qualitative research design, anchored in (...) phenomenological and hermeneutical methodology as described in reflective lifeworld research. Ten in‐depth, open‐ended interviews with nurses working in an acute medical unit were conducted. The analysis showed that providing care to patients suffering from alcohol use disorders was a highly complex task to accomplish. This required the nurse to engage with the patient in a sensitive cooperation in order to be dealing with the intricacy of the patient's life situation and balancing care between standardized procedures and the complexity of the patients. Further, a two‐sided feeling of responsibility emerged: a professional responsibility and a personal responsibility causing the provision of care as being caught between feelings of despondency and resignation. Nurses lack opportunities for being creative in determining how to provide care; instead, patients' perspectives of well‐being should be taken into account and should guide the provision of a meaningful care. Nurses must call for opportunities to deviate from the firmly established procedures restraining the care of this population. (shrink)

The relation between Kant’s conception of modalities in the Postulates of Empirical Thought and Hegel’s conception in the Logic of Essence has not been addressed in the current scholarship. I argue that there is in fact a close connection that becomes visible if the desideratum which is implied by Kant’s conceptions is understood. Thus, after an analysis of the Kantian modal postulates, the article shows that they are sufficient to characterize the necessity of Kant’s Grundsätze and, hence, a specific form (...) of synthetic propositions a priori. However, I will prove that they are insufficient to characterize Kant’s synthetic propositions a priori about transcendental philosophy. This insufficiency in the characterization of transcendental philosophy itself brings into the arena Hegel, who supplements the Kantian modalities with a self-reflexive form of transcendental modality. (shrink)

The literatures on both authentic leadership and behavioral integrity have argued that leader integrity drives follower performance. Yet, despite overlap in conceptualization and mechanisms, no research has investigated how authentic leadership and behavioral integrity relate to one another in driving follower performance. In this study, we propose and test the notion that authentic leadership behavior is an antecedent to perceptions of leader behavioral integrity, which in turn affects follower affective organizational commitment and follower work role performance. Analysis of a survey (...) of 49 teams in the service industry supports the proposition that authentic leadership is related to follower affective organizational commitment, fully mediated through leader behavioral integrity. Next, we found that authentic leadership and leader behavioral integrity are related to follower work role performance, fully mediated through follower affective organizational commitment. These relationships hold when controlling for ethical organizational culture. (shrink)

Scientific Change How do scientific theories, concepts and methods change over time? Answers to this question have historical parts and philosophical parts. There can be descriptive accounts of the recorded differences over time of particular theories, concepts, and methods—what might be called the shape of scientific change. Many stories of scientific change attempt to give […].

The aim of this paper is to argue for a revised and precisified version of the infamous Verifiability Criterion for the meaningfulness of declarative sentences. The argument is based on independently plausible premises concerning probabilistic confirmation and meaning as context-change potential, it is shown to be logically valid, and its ramifications for potential applications of the criterion are being discussed. Although the paper is not historical but systematic, the criterion thus vindicated will resemble the original one(s) in some important ways. (...) At the same time, it will also be more modest insofar as meaningfulness will turn out to be relativized linguistically and probabilistically, and different choices of the linguistic and probabilistic parameters may lead to different verdicts on meaningfulness. (shrink)

This article outlines what a formal theory of truth should be like, at least at first glance. As not all of the stated constraints can be satisfied at the same time, in view of notorious semantic paradoxes such as the Liar paradox, we consider the maximal consistent combinations of these desiderata and compare their relative advantages and disadvantages.

This is Part A of an article that defends non-eliminative structuralism about mathematics by means of a concrete case study: a theory of unlabeled graphs. Part A summarizes the general attractions of non-eliminative structuralism. Afterwards, it motivates an understanding of unlabeled graphs as structures sui generis and develops a corresponding axiomatic theory of unlabeled graphs. As the theory demonstrates, graph theory can be developed consistently without eliminating unlabeled graphs in favour of sets; and the usual structuralist criterion of identity can (...) be applied successfully in graph-theoretic proofs. Part B will turn to the philosophical interpretation and assessment of the theory. (shrink)

We review the literature on various approaches to modeling animal intergroup conflict behavior in theoretical biology, highlight the intricacies emerging in the process of adding due biological realism to such models, and point out recent empirical findings that can inspire future theorizing.

It is well known that aggregating the degree-of-belief functions of different subjects by linear pooling or averaging is subject to a commutativity dilemma: other than in trivial cases, conditionalizing the individual degree-of-belief functions on a piece of evidence E followed by linearly aggregating them does not yield the same result as rst aggregating them linearly and then conditionalizing the resulting social degree- of-belief function on E. In the present paper we suggest a novel way out of this dilemma: adapting the (...) method of update or learning such that linear pooling com- mutes with it. As it turns out, the resulting update scheme – imaging on the evidence – is well-known from areas such as the study of conditionals and cau- sal decision theory, and a formal result from which the required commutativity property is derivable was supplied already by Gärdenfors in a different con- text. We end up determining under which conditions imaging would seem to be right method of update, and under which conditions, therefore, group update would not be affected by the commutativity dilemma. (shrink)

This article introduces, studies, and applies a new system of logic which is called ‘HYPE’. In HYPE, formulas are evaluated at states that may exhibit truth value gaps and truth value gluts. Simple and natural semantic rules for negation and the conditional operator are formulated based on an incompatibility relation and a partial fusion operation on states. The semantics is worked out in formal and philosophical detail, and a sound and complete axiomatization is provided both for the propositional and the (...) predicate logic of the system. The propositional logic of HYPE is shown to contain first-degree entailment, to have the Finite Model Property, to be decidable, to have the Disjunction Property, and to extend intuitionistic propositional logic conservatively when intuitionistic negation is defined appropriately by HYPE’s logical connectives. Furthermore, HYPE’s first-order logic is a conservative extension of intuitionistic logic with the Constant Domain Axiom, when intuitionistic negation is again defined appropriately. The system allows for simple model constructions and intuitive Euler-Venn-like diagrams, and its logical structure matches structures well-known from ordinary mathematics, such as from optimization theory, combinatorics, and graph theory. HYPE may also be used as a general logical framework in which different systems of logic can be studied, compared, and combined. In particular, HYPE is found to relate in interesting ways to classical logic and various systems of relevance and paraconsistent logic, many-valued logic, and truthmaker semantics. On the philosophical side, if used as a logic for theories of type-free truth, HYPE is shown to address semantic paradoxes such as the Liar Paradox by extending non-classical fixed-point interpretations of truth by a conditional as well-behaved as that of intuitionistic logic. Finally, HYPE may be used as a background system for modal operators that create hyperintensional contexts, though the details of this application need to be left to follow-up work. (shrink)

The limit of language is one of the most pervasive notions found in Wittgenstein's work, both in his early Tractatus Logico-Philosophicus and his later writings. Moreover, the idea of a limit of language is intimately related to important scholarly debates on Wittgenstein's philosophy, such as the debate between the so-called traditional and resolute interpretations, Wittgenstein's stance on transcendental idealism, and the philosophical import of Wittgenstein's latest work On Certainty. This collection includes thirteen original essays that provide a comprehensive overview of (...) the various ways in which Wittgenstein appeals to the limit of language at different stages of his philosophical development. The essays connect the idea of a limit of language to the most important themes discussed by Wittgenstein--his conception of logic and grammar, the method of philosophy, the nature of the subject, and the foundations of knowledge--as well as his views on ethics, aesthetics, and religion. The essays also relate Wittgenstein's thought to his contemporaries, including Carnap, Frege, Heidegger, Levinas, and Moore. (shrink)

Is it possible to maintain classical logic, stay close to classical semantics, and yet accept that language might be semantically indeterminate? The article gives an affirmative answer by Ramsifying classical semantics, which yields a new semantic theory that remains much closer to classical semantics than supervaluationism but which at the same time avoids the problematic classical presupposition of semantic determinacy. The resulting Ramsey semantics is developed in detail, it is shown to supply a classical concept of truth and to fully (...) support the rules and metarules of classical logic, and it is applied to vague terms as well as to theoretical or open-ended terms from mathematics and science. The theory also demonstrates how diachronic or synchronic interpretational continuity across languages is compatible with semantic indeterminacy. (shrink)

This is Part B of an article that defends non-eliminative structuralism about mathematics by means of a concrete case study: a theory of unlabeled graphs. Part A motivated an understanding of unlabeled graphs as structures sui generis and developed a corresponding axiomatic theory of unlabeled graphs. Part B turns to the philosophical interpretation and assessment of the theory: it points out how the theory avoids well-known problems concerning identity, objecthood, and reference that have been attributed to non-eliminative structuralism. The part (...) concludes by explaining how the theory relates to set theory, and what remains to be accomplished for non-eliminative structuralists. (shrink)

Working within the framework of Bishop's constructive mathematics, we will show that it is possible to define compactness in a more general setting than that of uniform spaces. It is also shown that it is not possible to do this in a topological space.

Hans Blumenbergs Werk ist mit einer Theorie des Mythos, der Metapher und der Epochenumbrüche, technikphilosophischen Reflexionen, literaturtheoretischen Überlegungen und literarischen Glossen ungewöhnlich vielgestaltig. Die Beiträge des Bandes begegnen diesem Umstand, indem sie nicht einzelne Grundgedanken, sondern Vorgehensweisen und Techniken, methodische Ansätze und taktische Blickwendungen fokussieren. Ihr Interesse gilt Blumenbergs Verfahren. Sie betrachten etwa den Metapherngebrauch des Metaphorologen und seine Vorliebe für implikative Zugänge, die unmögliche Abschreitung des Horizonts und die Verabschiedung der Theorie als theoretisches Verfahren. Auf welche Weise nähert sich (...) Blumenberg den Wirklichkeiten, in denen wir leben? Wie wird die Arbeit an der Bedeutsamkeit ins Werk gesetzt? Und welche dieser Verfahren lassen sich heute noch in Anspruch nehmen oder weiterdenken? Mit Beiträgen von Hannes Bajohr, Rüdiger Campe, Johannes Endres, Sebastian Feil, Petra Gehring, Eva Geulen, Anselm Haverkamp, Felix Heidenreich, Katharina Hertfelder, Wolfgang Hottner, Niklaus Largier, Christoph Paret, Birgit Recki und Christine Weder. (shrink)