This paper examines a novel notion of causality, namely, fuzzy-set-theoretic causality. Over the last decade, a number of conceptual models of causality, in the language of fuzzy-set theory, have appeared in the scientific literature and have been applied to empirical research. They have circulated widely from one scientific discipline to another, weaving a unifying thread through them. However, they have received no philosophical attention. In this paper, I will discuss the value and limitations of this type of model and will (...) read into its application several dimensions of philosophical significance. (shrink)

In this paper I examine the notion and role of metaphors and illustrations in Maxwell's works in exact science as a pathway into a broader and richer philosophical conception of a scientist and scientific practice. While some of these notions and methods are still at work in current scientific research-from economics and biology to quantum computation and quantum field theory-, here I have chosen to attest to their entrenchment and complexity in actual science by attempting to make some conceptual sense (...) of Maxwell's own usage; this endeavour includes situating Maxwell's conceptions and applications in his own culture of Victorian science and philosophy. I trace Maxwell's notions to the formulation of the problem of understanding, or interpreting, abstract representations such as potential functions and Lagrangian equations. I articulate the solution in terms of abstract-concrete relations, where the concrete, in tune with Victorian British psychology and engineering, includes the muscular as well as the pictorial. This sets the basis for a conception of understanding in terms of unification and concrete modelling, or representation. I examine the relation of illustration to analogies and metaphors on which this account rests. Lastly, I stress and explain the importance of context-dependence, its consequences for realism-instrumentalism debates, and Maxwell's own emphasis on method. (shrink)

We provide a detailed history of the concepts of atomic number and isotopy before the discovery of protons and neutrons that draws attention to the role of evolving interplays of multiple aims and criteria in chemical and physical research. Focusing on research by Frederick Soddy and Ernest Rutherford, we show that, in the context of differentiating disciplinary projects, the adoption of a complex and shifting concept of elemental identity and the ordering role of the periodic table led to a relatively (...) coherent notion of atomic number. Subsequent attention to valency, still neglected in the secondary literature, and to nuclear charge led to a decoupling of the concepts of elemental identity and weight and allowed for a coherent concept of isotopy. This concept received motivation from empirical investigations on the decomposition series of radioelements and their unstable chemical identity. A new model of chemical order was the result of an ongoing collaboration between chemical and physical research projects with evolving aims and standards. After key concepts were considered resolved and their territories were clarified, chemistry and physics resumed autonomous projects, yet remained bound by newly accepted explanatory relations. It is an episode of scientific collaboration and partial integration without simple, wholesale gestalt switches or chemical revolutions. (shrink)

Previous discussions of Robb’s work on space and time have offered a philosophical focus on causal interpretations of relativity theory or a historical focus on his use of non-Euclidean geometry, or else ignored altogether in discussions of relativity at Cambridge. In this paper I focus on how Robb’s work made contact with those same foundational developments in mathematics and with their applications. This contact with applications of new mathematical logic at Göttingen and Cambridge explains the transition from his electron research (...) to his treatment of relativity in 1911 and finally to the axiomatic presentation in 1914 in terms of postulates. At the heart of Robb’s physical optics was the model of the light cone. The model underwent a transition from a working mechanical model in the Maxwellian Cambridge sense of a pedagogical and research tool to the semantic model, in the logical, model-theoretic sense. Robb tracked this transition from the 19th- to the 20th-century conception with the earliest use of the term ‘model’ in the new sense. I place his cone models in a genealogy of similar models and use their evolution to track how Robb’s physical researches were informed by his interest in geometry, logic and the foundations of mathematics. (shrink)

The emphasis on models hasn’t completely eliminated laws from scientific discourse and philosophical discussion. Instead, I want to argue that much of physics lies beyond the strict domain of laws. I shall argue that in important cases the physics, or physical understanding, does not lie either in laws or in their properties, such as universality, consistency and symmetry. I shall argue that the domain of application commonly attributed to laws is too narrow. That is, laws can still play an important, (...) though peculiar, role outside their strict domain of validity. I shall argue also that, by way of a trade-off, while the actual domain of application of laws should be seen as much broader. At the same time, what I call ‘anomic’ representational elements reveal themselves as central to the descriptive and explanatory power of theories and model: boundary conditions, state descriptions, structures, constraints, limits and mechanisms. I conclude with a brief consideration of how my discussion has consequences for discussion of understanding, unification, approximation and dispositional properties. I focus on examples from physics, macroscopic and microscopic, phenomenological and fundametal: shock waves, propagation of cracks, symmetry breaking, and others. This law-eccentric kind of knowledge is central to both modeling the world and intervening in it. (shrink)

In this paper I introduce a broader context, and sketch an integrated account with the purpose of examining the significance of Neurath’s attention to logic in early works and subsequent positions. The specific attention to algebraic logic is important in integrating his own interest in mathematics and combining, since Leibniz, the ideals of a universal language and of a calculus of reasoning. The interest in universal languages constitutes a much broader, so-called tradition of pasigraphy that extended beyond philosophical projects. I (...) argue that Neurath’s works can be embedded in a richer intellectual landscape that includes developments in logic and their local reception in Vienna, and that his attention to logic developed a sustained symbolic standpoint – with semiotic and typographic expressions –; that specific aspects of the work in algebraic logic became a standard and a resource in subsequent work often thought independent, while its value was steadily challenged by the separate goal of empirical theorizing and practical application in social domains – including in the areas of economics, history and visual communication –; that, in particular, the presentation of systems of algebraic logic by Neurath’s sources such as Stanley Jevons and Schröder was not isolated from discussions of political economy; and finally that some of his positions in matters of language, unity and epistemology in the articulation of logical empiricism and its debates are better understood in terms of shared but diversified acquaintance with pasigraphy, formal standards and logical projects. (shrink)

This highly readable book is a collection of critical papers on Otto Neurath. It comprehensively re-examines Neurath’s scientific, philosophical and educational contributions from a range of standpoints including historical, sociological and problem-oriented perspectives. Leading Neurath scholars disentangle and connect Neurath’s works, ideas and ideals and evaluate them both in their original socio-historical context and in contemporary philosophical debates. Readers will discover a new critical understanding. Drawing on archive materials, essays discuss not only Neurath’s better-known works from lesser-known perspectives, but also (...) his lesser-known works from the better-known perspective of their place in his overall philosophical oeuvre. Reflecting the full range of Neurath's work, this volume has a broad appeal. Besides scholars and researchers interested in Neurath, Carnap, the Vienna Circle, work on logical empiricism and the history and philosophy of science, this book will also appeal to graduate students in philosophy, sociology, history and education. Readers will find Neurath’s thoughts described and evaluated in an accessible manner, making it a good read for those beyond the academic world such as social leaders and activists. The book includes the edited 1940-45 Neurath-Carnap correspondence and the English translation of Neurath's logic papers. (shrink)

: The distinction between science and philosophy plays a central role in methodological, programmatic and institutional debates. Discussions of disciplinary identities typically focus on boundaries or else on genealogies, yielding models of demarcation and models of dynamics. Considerations of a discipline's self-image, often based on history, often plays an important role in the values, projects and practices of its members. Recent focus on the dynamics of scientific change supplements Kuhnian neat model with a role for philosophy and yields a model (...) of the evolution of philosophy of science. This view illuminates important aspects of science and itself contributes to philosophy of science. This interactive model is general yet based on exclusive attention to physics. In this paper and two sequels, I focus on the human sciences and argue that their role in the history of philosophy of science is just as important and it also involves a close involvement of the history of philosophy. The focus is on Gestalt psychology and it points to some lessons for philosophy of science. But, unlike the discussion of natural sciences, the discussion here brings out more complication than explication, and skews certain kinds of generalizations. (shrink)

The ’microcausality’ condition in quantum field theory is typically presented and justified on the basis of general principles of physical causality. I explore in detail a number of alternative causal interpretations of this condition. I conclude that none is fully satisfactory, independent of further and controversial assumptions about the object and scope of quantum field theories. In particular the stronger causalreadings require a fully reductionist and fundamentalist attitude to quantum field theory. I argue, in a deflationary spirit, for a reading (...) of the ‘microcausality’ condition as merely a boundary condition, inspired by Relativity, that different possible formulations of quantum field theory must obey. (shrink)

The basic education of philosophers of science during the second half of the twentieth century was founded on the seven Rs: the three basic Rs and the topics of Rationality, Realism, Reductionism, and Relativism. The topic and ideas in this volume are foundational and challenging. They challenge and replace the ancient notion of philosophy as unified knowledge and the corresponding images of the tree of knowledge and encyclopedia forests.

This is the first part of a two-part paper in which I conclude the process, initiated elsewhere, of tracking objective conditions of vagueness of representation from language to pictures, from philosophy to imaging science, from vagueness to approximation, from representation to reasoning, with a focus on the application of fuzzy set theory and its challenges.

In the aftermath of the Spanish War, the Catalan philosopher Eugeni d'Ors and the Spanish philosopher José Ortega y Gasset offered a reading of Einstein’s theory of relativity in which discussions of unity and plurality connected their respective synthetic philosophies and nationalist projects of political and cultural analysis and reform. Besides their philosophical views, references to Einstein tracked their territorial concerns and personal circumstances in the relations between Catalonia, Spain and Europe. Einstein’s theory symbolized the saving connection between the classical (...) and the modern, Europe and the Mediterranean, and science and philosophy. In this paper I focus on the case of Ors in relation to Catalan nationalism and the project he called Noucentismeand the case of Ortega in relation to Spanish nationalism and his political philosophy in España Invertebrada. (shrink)

Previous discussions of Robb’s work on space and time have offered a philosophical focus on causal interpretations of relativity theory or a historical focus on his use of non-Euclidean geometry, or else ignored altogether in discussions of relativity at Cambridge. In this paper I focus on how Robb’s work made contact with those same foundational developments in mathematics and with their applications. This contact with applications of new mathematical logic at Göttingen and Cambridge explains the transition from his electron research (...) to his treatment of relativity in 1911 and finally to the axiomatic presentation in 1914 in terms of postulates. At the heart of Robb’s physical optics was the model of the light cone. The model underwent a transition from a working mechanical model in the Maxwellian Cambridge sense of a pedagogical and research tool to the semantic model, in the logical, model-theoretic sense. Robb tracked this transition from the 19th- to the 20th-century conception with the earliest use of the term ‘model’ in the new sense. I place his cone models in a genealogy of similar models and use their evolution to track how Robb’s physical researches were informed by his interest in geometry, logic and the foundations of mathematics. (shrink)

The ’microcausality’ condition in quantum field theory is typically presented and justified on the basis of general principles of physical causality. I explore in detail a number of alternative causal interpretations of this condition. I conclude that none is fully satisfactory, independent of further and controversial assumptions about the object and scope of quantum field theories. In particular the stronger causalreadings require a fully reductionist and fundamentalist attitude to quantum field theory. I argue, in a deflationary spirit, for a reading (...) of the ‘microcausality’ condition as merely a boundary condition, inspired by Relativity, that different possible formulations of quantum field theory must obey. (shrink)

International Studies in the Philosophy of Science, Volume 25, Issue 4, Page 405-411, December 2011.

Tras la Guerra Civil el filósofo catalán Eugeni d’Ors y el filósofo español José Ortega y Gasset ofrecieron una lectura de la teoría de la relatividad de Einstein in la cual conectaron discusiones de unidad y pluralidad con sus respectivas filosofías y proyectos nacionalistas de análisis y reforma política y cultural sintetizantes. Además, frecuentes referencias a Einstein distinguen sus respectivas ideas filosóficas, sus preocupaciones territoriales y sus circunstancias personales en relación a Cataluña, España y Europa. La teoría de Einstein simbolizó (...) la conexión salvadora entre lo clásico y lo moderno, Europa y el Mediterráneo, y ciencia y filosofía. En este artículo analizo los casos inseparables de Ors en relación con el nacionalismo catalán y al proyecto que denominó Noucentisme y de Ortega en relación con el nacionalismo español y a su filosofia política articulada en La España Invertebrada. (shrink)

An international team of four authors, led by distinguished philosopher of science, Nancy Cartwright, and leading scholar of the Vienna Circle, Thomas E. Uebel, have produced this lucid and elegant study of a much-neglected figure. The book, which depicts Neurath's science in the political, economic and intellectual milieu in which it was practised, is divided into three sections: Neurath's biographical background and the socio-political context of his economic ideas; the development of his theory of science; and his legacy as illustrated (...) by his contemporaneous involvement in academic and political debates. Coinciding with the renewal of interest in logical positivism, this is a timely publication which will redress a current imbalance in the history and philosophy of science, as well as making a major contribution to our understanding of the intellectual life of Austro-Germany in the inter-war years. (shrink)

Four distinguished authors have been brought together to produce this elegant study of a much-neglected figure. The book is divided into three sections: Neurath's biographical background and the economic and social context of his ideas; his theory of science; and the development of his role in debates on Marxist concepts of history and his own conception of science. Coinciding with the emerging serious interest in logical positivism, this timely publication will redress a current imbalance in the history and philosophy of (...) science. (shrink)

The Viennese-born polymath Otto Neurath died on 22 December 1945 in Oxford, a few months after the end of World War Two. A social engineer and sociologist of happiness, Neurath was not only a socially sensitive educator, advocating for any institute and organization that was concerned with the well-being of people; he was also a trained scientist and philosopher. Studying mathematics, economics, history, philosophy, and physics in Vienna and then in Berlin during the early years of the long twentieth century, (...) Neurath became involved in many of the disputes among social and natural scientists that shaped the course of the fields. This short introduction provides the context and describes the aims of the volume. Short summaries of the chapters are also included. (shrink)

Jarvie’s main claims in this book are that Popper’s account of scientific methodology requires institutions and traditions and that his body of work articulates this controversial relation. The logical problem of demarcating scientific statements and attitudes from others is inevitably linked with the sociological problem of demarcating the institution of science from others. Simply put, the solution to the former requires a solution to the latter. Falsifiability is a logical property; falsification is not. All methods are social and, with this (...) in mind, Jarvie compels us to notice that Popper’s works provide the normative constitution for what society and the republic of science should be. (shrink)

The basic education of philosophers of science during the second half of the twentieth century was founded on the seven Rs: the three basic Rs and the topics of Rationality, Realism, Reductionism, and Relativism. The topic and ideas in this volume are foundational and challenging. They challenge and replace the ancient notion of philosophy as unified knowledge and the corresponding images of the tree of knowledge and encyclopedia forests.

Four distinguished authors have been brought together to produce this elegant study of a much-neglected figure. The book is divided into three sections: Neurath's biographical background and the economic and social context of his ideas; his theory of science; and the development of his role in debates on Marxist concepts of history and his own conception of science. Coinciding with the emerging serious interest in logical positivism, this timely publication will redress a current imbalance in the history and philosophy of (...) science. (shrink)

A review of Jordy Cat & Adam Tamás Tuboly (eds.), Neurath Reconsidered: New Sources and Perspectives (Springer 2019).