Leibniz is one of the founders of calculus, a starting point of modern mathematics. A crucial point in the understanding of Leibniz' calculus is the concept of differential, especially differential of higher order. In this article we discuss the first successful application of differentials of higher order, namely the determination of the radius of curvature. 1692 Jakob Bernoulli determined three formulas for this radius. Leibniz was not satisfied with the proofs of Bernoulli and published two years later a new elegant (...) deduction. The article is a reconstruction of Bernoulli's and Leibniz' approaches showing the ingenious work of Leibniz in this field. (shrink)

One of the most famous critiques of the Leibnitian calculus is contained in the essay “The Analyst” written by George Berkeley in 1734. His key argument is those on compensating errors. In this article, we reconstruct Berkeley's argument from a systematical point of view showing that the argument is neither circular nor trivial, as some modern historians think. In spite of this well-founded argument, the critique of Berkeley is with respect to the calculus not a fundamental one. Nevertheless, it highlights (...) central aspects of the calculus that are characteristic of modern scientific theories. (shrink)

The article starts with a reconstruction of Bernard Bolzano’s aesthetics as a paradigmatic example of the logical-semantic aesthetics tradition following Leibniz, which has been marginalized in Germany. It ends with perspectives for a future reconstruction of post-Hegelian aesthetics in the light of the semantic problem that became virulent in the analytical philosophy of language and in linguistics in the early 20th century. As a result, a continuity becomes visible between the allegedly idealistic 19th century and the theoretical developments in the (...) wake of the linguistic turn that emphasize the irreducible linguistic character and sign structure of semantics. (shrink)

Die vorliegende Arbeit zeigt erstmals, dass sich die Vermittlung von Moral und Glück in Immanuel Kants Philosophie strukturell beschreiben lässt. Sie bleibt aber letztlich die nicht endende Aufgabe eines bewussten Lebens, das um seine Neigungen weiß, klug mit diesen umgeht und die Moral als letzten Orientierungspunkt versteht.

Editors' introduction to the special issue on homology (Biology and Philosophy Vol. 22, Issue 5, 2007).

ABSTRACTThis article introduces an “ordonomic” approach to corporate citizenship. We believe that ordonomics offers a conceptual framework for analyzing both the social structure and the semantics of moral commitments. We claim that such an analysis can provide theoretical guidance for the changing role of business in society, especially in regard to the expectation and trend that businesses take a political role and act as corporate citizens. The systematicraison d'êtreof corporate citizenship is that business firms can and—judged by the criterion of (...) prudent self-interest—“should” take on an active role in rule-finding discourses and rule-setting processes with the intent of realizing a win-win outcome of the economic game. We identify—and illustrate—four ways that corporate citizens can employ moral commitments as a factor of production to enhance their processes of economic value creation. (shrink)

The paper works towards an account of explanatory integration in biology, using as a case study explanations of the evolutionary origin of novelties-a problem requiring the integration of several biological fields and approaches. In contrast to the idea that fields studying lower level phenomena are always more fundamental in explanations, I argue that the particular combination of disciplines and theoretical approaches needed to address a complex biological problem and which among them is explanatorily more fundamental varies with the problem pursued. (...) Solving a complex problem need not require theoretical unification or the stable synthesis of different biological fields, as items of knowledge from traditional disciplines can be related solely for the purposes of a specific problem. Apart from the development of genuine interfield theories, successful integration can be effected by smaller epistemic units (concepts, methods, explanations) being linked. Unification or integration is not an aim in itself, but needed for the aim of solving a particular scientific problem, where the problem's nature determines the kind of intellectual integration required. (shrink)

This article introduces an “ordonomic” approach to corporate citizenship. We believe that ordonomics offers a conceptual framework for analyzing both the social structure and the semantics of moral commitments. We claim that such an analysis can provide theoretical guidance for the changing role of business in society, especially in regard to the expectation and trend that businesses take a political role and act as corporate citizens. The systematicraison d'êtreof corporate citizenship is that business firms can and—judged by the criterion of (...) prudent self-interest—“should” take on an active role in rule-finding discourses and rule-setting processes with the intent of realizing a win-win outcome of the economic game. We identify—and illustrate—four ways that corporate citizens can employ moral commitments as a factor of production to enhance their processes of economic value creation. (shrink)

Recent rival attempts in the philosophy of science to put forward a general theory of the properties that all (and only) natural kinds across the sciences possess may have proven to be futile. Instead, I develop a general methodological framework for how to philosophically study kinds. Any kind has to be investigated and articulated together with the human aims that motivate referring to this kind, where different kinds in the same scientific domain can answer to different concrete aims. My core (...) contention is that non-epistemic aims, including environmental, ethical, and political aims, matter as well. This is defended and illustrated based on several examples of kinds, with particular attention to the role of social-political aims: species, race, gender, as well as personality disorders and oppositional defiant disorder as psychiatric kinds. Such non-epistemic aims and values need not always be those personally favoured by scientists, but may have to reflect values that matter to relevant societal stakeholders. Despite the general agenda to study ‘kinds,’ I argue that philosophers should stop using the term ‘natural kinds,’ as this label obscures the relevance of humans interests and the way in which many kinds are based on contingent social processes subject to human responsibility. (shrink)

Despite the traditional focus on metaphysical issues in discussions of natural kinds in biology, epistemological considerations are at least as important. By revisiting the debate as to whether taxa are kinds or individuals, I argue that both accounts are metaphysically compatible, but that one or the other approach can be pragmatically preferable depending on the epistemic context. Recent objections against construing species as homeostatic property cluster kinds are also addressed. The second part of the paper broadens the perspective by considering (...) homologues as another example of natural kinds, comparing them with analogues as functionally defined kinds. Given that there are various types of natural kinds, I discuss the different theoretical purposes served by diverse kind concepts, suggesting that there is no clear-cut distinction between natural kinds and other kinds, such as functional kinds. Rather than attempting to offer a unique metaphysical account of ‘natural’ kind, a more fruitful approach consists in the epistemological study of how different natural kind concepts are employed in scientific reasoning. (shrink)

This article understands codes of ethics as written documents that represent social actors in specific ways through the use of language. It presents an empirical study that investigated the codes of ethics of the German Dax30 companies. The study adopted a critical discourse analysis-approach in order to reveal how the code-texts produce a particular understanding of the various internal social groups for the readers. Language is regarded as social practice that functions at creating particular understandings of individuals and groups, how (...) they are interrelated, and how they should behave. Findings show that codes of ethics do not represent employees as a group that is empowered or morally enlightened; instead they are positioned as passive receivers of rules and regulations. Furthermore, codes of ethics classify employees as having a need to be monitored and controlled by the higher levels of the corporate hierarchy. Overall, code language enforces compliance through maintaining existing and building new asymmetries between the different groups within a company. As a consequence, the article discusses a somewhat different understanding of code effectiveness. Reproducing and reemphasizing hierarchical relations could also lead to code compliance, perhaps without any need for developing the moral employee that is committed to ethical values. (shrink)

This article contributes to the debate about the political role of the business firm. The article clarifies what is meant by the “political” role of the firm and how this political role relates to its economic role. To this end, the authors present an ordonomic concept of corporate citizenship and illustrate the concept by way of comparison with the Aristotelian idea of individual citizenship for the antique polis. According to our concept, companies take a political role if they participate in (...) rule-setting processes and rule-finding discourses. Though this political role of the corporation is in principle ambivalent, the authors conclude that in such processes of “new governance” the economic and political roles of the firm need not contradict each other but can follow the same win-win logic of individual self-perfection through cooperative social interactions. (shrink)

This essay analyzes and develops recent views about explanation in biology. Philosophers of biology have parted with the received deductive-nomological model of scientific explanation primarily by attempting to capture actual biological theorizing and practice. This includes an endorsement of different kinds of explanation (e.g., mathematical and causal-mechanistic), a joint study of discovery and explanation, and an abandonment of models of theory reduction in favor of accounts of explanatory reduction. Of particular current interest are philosophical accounts of complex explanations that appeal (...) to different levels of organismal organization and use contributions from different biological disciplines. The essay lays out one model that views explanatory integration across different disciplines as being structured by scientific problems. I emphasize the philosophical need to take the explanatory aims pursued by different groups of scientists into account, as explanatory aims determine whether different explanations are competing or complementary and govern the dynamics of scientific practice, including interdisciplinary research. I distinguish different kinds of pluralism that philosophers have endorsed in the context of explanation in biology, and draw several implications for science education, especially the need to teach science as an interdisciplinary and dynamic practice guided by scientific problems and explanatory aims. (shrink)

Ausgangspunkt der vorliegenden Arbeit über Gilles Deleuze ist die Frage nach dem Verhältnis von Ironie und Humor, weil bei Deleuze der Humor zu einer Methode des Denkens wird. Das erste Kapitel beschäftigt sich mit der Beziehung des Denkens zu Malerei, Theater, Kino und Literatur, sowie mit der Kunst der Herstellung von Begriffen und der Sprache der Philosophie. Im zweiten Kapitel wird der Begriff des reinen Ereignisses entwickelt, der im Zentrum des Denkens von Deleuze steht. Das dritte Kapitel handelt hingegen vom (...) Körper und vom Eintreten von Ereignissen: vom Verhältnis von Virtualität und Aktualität, von Singularität und Individuation und von einer bestimmten Umkehrung des Platonismus, die Voraussetzung für eine deleuzeianische Ideenlehre ist. Das Schlusskapitel versteht sich als Einführung in einen fröhlichen Atheismus und entwickelt Ansätze zu einer deleuzeianischen Ethik. Der Anhang enthält eine umfassende Bibliographie der Schriften von Deleuze und ihrer deutschsprachigen Übersetzungen, sowie der vorliegenden Sekundärliteratur. (shrink)

Über Jahrzehnte beanspruchten die komplementären Diskurse des östlichen partei-, später staatsoffiziellen Marxismus sowie des westlichen Antikommunismus die nahezu uneingeschränkte Definitionsmacht über das, was gemeinhin als 'Marxsche Theorie' oder 'wissenschaftlicher Sozialismus' galt. Dagegen machte sich ab Mitte der 1960er Jahre eine neue Lektüre-Bewegung vor allem in der Bundesrepublik daran, die originellen wissenschaftlichen Gehalte des Marxschen Denkens zu entdecken. Der Rezeptionsschutt der vorangegangenen 100 Jahre sollte weggeräumt werden, um für die Rekonstruktion einer kritischen Gesellschaftstheorie mit einem innovativen Methoden- und Gegenstandsverständnis Platz zu (...) schaffen. Das Buch vergegenwärtigt die Quellen, Geschichte und Resultate dieses neuen Diskussionskontexts. Drei Stränge der Debatte werden näher beleuchtet: die methodologische und werttheoretische Grundlagenforschung, die Staatsableitung sowie die Untersuchung der revolutionstheoretischen Implikationen der Kritik der politischen Ökonomie. Dabei wird gezeigt, dass in einem noch keineswegs abgeschlossenen Forschungsprozess die Umrisse einer bei Marx angelegten Theorie erkennbar werden, die wichtige Impulse zum Verständnis der modernen Reichtums- und Herrschaftsformen geben kann und in vielem geradezu das Gegenteil von dem zeigt, was man von Marx in marxistischen wie nicht-marxistischen Kreisen zu wissen glaubte. (shrink)

The discussion presents a framework of concepts that is intended to account for the rationality of semantic change and variation, suggesting that each scientific concept consists of three components of content: 1) reference, 2) inferential role, and 3) the epistemic goal pursued with the concept’s use. I argue that in the course of history a concept can change in any of these components, and that change in the concept’s inferential role and reference can be accounted for as being rational relative (...) to the third component, the concept’s epistemic goal. This framework is illustrated and defended by application to the history of the gene concept. It is explained how the molecular gene concept grew rationally out of the classical gene concept despite a change in reference, and why the use and reference of the contemporary molecular gene concept may legitimately vary from context to context. (shrink)

.A term rewrite system is called simply terminating if its termination can be shown by means of a simplification ordering. According to a result of Weiermann, the derivation length function of any simply terminating finite rewrite system is eventually dominated by a Hardy function of ordinal less than the small Veblen ordinal. This bound had appeared to be of rather theoretical nature, because all known examples had had multiple recursive complexities, until recently Touzet constructed simply terminating examples with complexities beyond (...) multiple recursion. This was established by simulating the Hydra battle for all ordinal segments below the proof-theoretic ordinal of Peano arithmetic. By extending this result to the small Veblen ordinal we prove the huge bound of Weiermann to be sharp. As a spin-off we can show that total termination allows for complexities as high as those of simple termination. (shrink)

This review-essay discusses the contributions to Ricardo Bellofiore’s bookRosa Luxemburg and the Critique of Political Economyin their respective historical and theoretical contexts. A key goal of the book is to establish Luxemburg’s work as a ‘macro-monetary class approach’, which means linking an economic outlook on effective demand and finance with a political focus on class-struggles in the domestic and international arenas. This approach marks a significant, and positive, departure from widespread interpretations that separate Luxemburg’s political theory from her economic theory. (...) Given the apparent limits of neoliberal globalisation it is also a very timely approach that can help us to understand the current conjuncture of economic and political crises. Bellofiore’s book offers a useful framework for such analysis but focuses much more on economic theory than on politics and the historical developments of global capitalism. To fully exploit the potential of Luxemburg’s political economy, complementary work on these latter two aspects has to be done. (shrink)

Taxa and homologues can in our view be construed both as kinds and as individuals. However, the conceptualization of taxa as natural kinds in the sense of homeostatic property cluster kinds has been criticized by some systematists, as it seems that even such kinds cannot evolve due to their being homeostatic. We reply by arguing that the treatment of transformational and taxic homologies, respectively, as dynamic and static aspects of the same homeostatic property cluster kind represents a good perspective for (...) supporting the conceptualization of taxa as kinds. The focus on a phenomenon of homology based on causal processes (e.g., connectivity, activity-function, genetics, inheritance, and modularity) and implying relationship with modification yields a notion of natural kinds conforming to the phylogenetic-evolutionary framework. Nevertheless, homeostatic property cluster kinds in taxonomic and evolutionary practice must be rooted in the primacy of epistemological classification (homology as observational properties) over metaphysical generalization (series of transformation and common ancestry as unobservational processes). The perspective of individuating characters exclusively by historical-transformational independence instead of their developmental, structural, and functional independence fails to yield a sufficient practical interplay between theory and observation. Purely ontological and ostensional perspectives in evolution and phylogeny (e.g., an ideographic character concept and PhyloCode’s ‘individualism’ of clades) may be pragmatically contested in the case of urgent issues in biodiversity research, conservation, and systematics. (shrink)

Examining previous discussions on how to construe the concepts of gender and race, we advocate what we call strategic conceptual engineering. This is the employment of a (possibly novel) concept for specific epistemic or social aims, concomitant with the openness to use a different concept (e.g., of race) for other purposes. We illustrate this approach by sketching three distinct concepts of gender and arguing that all of them are needed, as they answer to different social aims. The first concept serves (...) the aim of identifying and explaining gender-based discrimination. It is similar to Haslanger’s well-known account, except that rather than offering a definition of ‘woman’ we focus on ‘gender’ as one among several axes of discrimination. The second concept of gender is to assign legal rights and social recognitions, and thus is to be trans-inclusive. We argue that this cannot be achieved by previously suggested concepts that include substantial gender-related psychological features, such as awareness of social expectations. Instead, our concept counts someone as being of a certain gender solely based on the person’s self-identification with this gender. The third concept of gender serves the aim of personal empowerment by means of one’s gender identity. In this context, substantial psychological features and awareness of one’s social situation are involved. While previous accounts of concepts have focused on their role in determining extensions, we point to contexts where a concept’s role in explanation and moral reasoning can be more important. (shrink)

Reductionism encompasses a set of ontological, epistemological, and methodological claims about the relation of different scientific domains. The basic question of reduction is whether the properties, concepts, explanations, or methods from one scientific domain (typically at higher levels of organization) can be deduced from or explained by the properties, concepts, explanations, or methods from another domain of science (typically one about lower levels of organization). Reduction is germane to a variety of issues in philosophy of science, including the structure of (...) scientific theories, the relations between different scientific disciplines, the nature of explanation, the diversity of methodology, and the very idea of theoretical progress, as well as to numerous topics in metaphysics and philosophy of mind, such as emergence, mereology, and supervenience. (shrink)

This introduction to the special section on integration in biology provides an overview of the different contributions. In addition to motivating the philosophical significance of analyzing integration and interdisciplinary research, I lay out common themes and novel insights found among the special section contributions, and indicate how they exhibit current trends in the philosophical study of integration. One upshot of the contributed papers is that there are different aspects to and kinds of integration, so that rather than attempting to offer (...) a universal construal of what integrations is, philosophers have to analyze in concrete cases in what respects particular aspects of scientific theorizing and/or practice are ‘integrative’ and how this instance of integration works and was achieved. (shrink)

The paper discusses how systems biology is working toward complex accounts that integrate explanation in terms of mechanisms and explanation by mathematical models—which some philosophers have viewed as rival models of explanation. Systems biology is an integrative approach, and it strongly relies on mathematical modeling. Philosophical accounts of mechanisms capture integrative in the sense of multilevel and multifield explanations, yet accounts of mechanistic explanation have failed to address how a mathematical model could contribute to such explanations. I discuss how mathematical (...) equations can be explanatorily relevant. Several cases from systems biology are discussed to illustrate the interplay between mechanistic research and mathematical modeling, and I point to questions about qualitative phenomena, where quantitative models are still indispensable to the explanation. Systems biology shows that a broader philosophical conception of mechanisms is needed, which takes into account functional-dynamical aspects, interaction in complex networks with feedback loops, system-wide functional properties such as distributed functionality and robustness, and a mechanism’s ability to respond to perturbations. I offer general conclusions for philosophical accounts of explanation. (shrink)

This Article develops an understanding of authority as the ability to establish content-laden reference points that participants in legal discourse can hardly escape. Situating authority between coercion by force and persuasion through argument, it carves out recognition and constraint as constitutive elements of authority. Delegation - a conditional grant of authority from principals to agents - is typically taken to account for the authority of international courts and tribunals. But the Article argues that delegation is at best only the starting (...) point of ICTs’ authority. The dynamics of the legal discourse stabilize authority and account for its further growth. The conception of authority that emerges from the discussion herein is less one of a command that demands blind obedience than a reference point that redistributes argumentative burdens. Communication is authority’s medium. Taking a step back from immediate normative questions, the Article shows what it takes for ICTs to have authority. It presents the communicative dynamics that build up ICTs’ authority and showcases the discursive resources ICTs themselves use to induce deference. The Article suggests in conclusion that a better understanding of what it takes for ICTs to have authority will also advance questions about such authority’s normative legitimacy. (shrink)

The agents of a jury have to decide between a good and a bad option through simple majority voting. In this paper the jury consists of N independent couples. Each couple consists of two correlated agents of the same competence level. Different couples may have different competence levels. In addition, each agent is assumed to be better than completely random guessing. We prove tight lower and upper bounds for the quality of the majority decision. The lower bound is the same (...) as the competence of majority voting of N independent agents. The upper bound cases for negatively correlated couples can be much better than the value for 2N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2 \, N$$\end{document} independent agents. (shrink)

By linking the concepts of homology and morphological organization to evolvability, this paper attempts to (1) bridge the gap between developmental and phylogenetic approaches to homology and to (2) show that developmental constraints and natural selection are compatible and in fact complementary. I conceive of a homologue as a unit of morphological evolvability, i.e., as a part of an organism that can exhibit heritable phenotypic variation independently of the organism’s other homologues. An account of homology therefore consists in explaining how (...) an organism’s developmental constitution results in different homologues/characters as units that can evolve independently of each other. The explanans of an account of homology is developmental, yet the very explanandum is an evolutionary phenomenon: evolvability in a character-by-character fashion, which manifests itself in phylogenetic patterns as recognized by phylogenetic approaches to homology. While developmental constraints and selection have often been viewed as antagonistic forces, I argue that both are complementary as they concern different parts of the evolutionary process. Developmental constraints, conceived of as the presence of the same set of homologues across phenotypic change, pertain to how heritable variation can be generated in the first place (evolvability), while natural selection operates subsequently on the produced variation. (shrink)

According to many biologists, explaining the evolution of morphological novelty and behavioral innovation are central endeavors in contemporary evolutionary biology. These endeavors are inherently multidisciplinary but also have involved a high degree of controversy. One key source of controversy is the definitional diversity associated with the concept of evolutionary novelty, which can lead to contradictory claims (a novel trait according to one definition is not a novel trait according to another). We argue that this diversity should be interpreted in light (...) of a different epistemic role played by the concept of evolutionary novelty—the structuring of a problem space or setting of an explanatory agenda—rather than the concept’s capacity to categorize traits as novel. This distinctive role is consistent with the definitional diversity and shows that the concept of novelty benefits ongoing investigation by focusing attention on answering different questions related to comprehending the origins of novelty. A review of recent theoretical and empirical work on evolutionary novelty confirms this interpretation. (shrink)