Knowledge of many facts does not amount to understanding unless one also has a sense of how the facts fit together. This aspect of coherence among scientific observations and theories is usually overlooked in summaries of scientific method, since the emphasis is on justification and verification rather than on understanding. I argue that the inter-theoretic coherence, as the hallmark of understanding, is an essential and informative component of any accurate description of science.

There are at least twelve major virtues of good theories: evidential accuracy, causal adequacy, explanatory depth, internal consistency, internal coherence, universal coherence, beauty, simplicity, unification, durability, fruitfulness, and applicability. These virtues are best classified into four classes: evidential, coherential, aesthetic, and diachronic. Each virtue class contains at least three virtues that sequentially follow a repeating pattern of progressive disclosure and expansion. Systematizing the theoretical virtues in this manner clarifies each virtue and suggests how they might have a coordinated and cumulative (...) role in theory formation and evaluation across the disciplines—with allowance for discipline specific modification. An informal and flexible logic of theory choice is in the making here. Evidential accuracy, according to my systematization, is not a largely isolated trait of good theories, as some have made it out to be. Rather, it bears multifaceted relationships, constituting significant epistemic entanglements, with other theoretical virtues. (shrink)

This article starts an engagement on the aesthetics of experiments and offers an account for analysing how aesthetics features in the design, evaluation and reception of experiments. I identify two dimensions of aesthetic evaluation of experiments: design and significance. When it comes to design, a number of qualities, such as simplicity, economy and aptness, are analysed and illustrated with the famous Meselson-Stahl experiment. Beautiful experiments are also regarded to make significant discoveries, but I argue against a narrow construal of experimental (...) aims. By drawing on the plurality of goals experimenters have and diversity of aesthetic responses, I argue that experiments are aesthetically appreciated both when they discover and when they produce disruptive results. (shrink)

This article explores the aesthetic dimensions of scientific experimentation, addressing specifically how aesthetic features enter the construction, evaluation and reception of an experiment. I highlight the relationship between experiments and artistic acts in the early years of the Royal Society where experiments do not serve only epistemic aims but also aim to generate feelings of awe and pleasure. I turn to analysing which aspects of experiments are appreciated aesthetically, identifying several contenders, from the ability of an experiment to uncover nature’s (...) beauty, to encapsulating original designs and human creativity. Following this analysis, I focus on the notion of beauty: what makes an experiment beautiful? Several common qualities are explored, from the simplicity and economy of the experiment, to the significance of the experimental results. (shrink)

This paper offers a systematic analysis of Poincaré’s understanding of beauty in science. In particular, the paper examines the epistemic significance Poincaré attributes to aesthetic judgement by reconstructing and analysing his arguments on simplicity and unity in science. I offer a consistent reconstruction of Poincaré’s account and show that for Poincaré simplicity and unity are regulative principles, linked to the aim of science—that of achieving understanding of how phenomena relate. I show how Poincaré’s account of beauty in science can be (...) incorporated within his wider philosophy of science. (shrink)

Scientists often use aesthetic values in the evaluation and choice of theories. Aesthetic values are not only regarded as leading to practically more useful theories but are often taken to stand in a special epistemic relation to the truth of a theory such that the aesthetic merit of a theory is evidence of its truth. This paper explores what aesthetic considerations influence scientists' reasoning, how such aesthetic values relate to the utility of a scientific theory, and how one can justify (...) the epistemic role for such values. The paper examines ways in which the link between beauty and truth can be defended, the challenges facing such accounts, and explores alternative epistemic roles for aesthetic values in scientific practice. (shrink)

What do mathematicians mean when they use terms such as ‘deep’, ‘elegant’, and ‘beautiful’? By applying empirical methods developed by social psychologists, we demonstrate that mathematicians' appraisals of proofs vary on four dimensions: aesthetics, intricacy, utility, and precision. We pay particular attention to mathematical beauty and show that, contrary to the classical view, beauty and simplicity are almost entirely unrelated in mathematics.

This article examines a series of Schelling-like models of residential segregation, in which agents prefer to be in the minority. We demonstrate that as long as agents care about the characteristics of their wider community, they tend to end up in a segregated state. We then investigate the process that causes this and conclude that the result hinges on the similarity of informational states among agents of the same type. This is quite different from Schelling-like behavior and suggests that segregation (...) is an instance of macrobehavior that can arise from a wide variety of micromotives. (shrink)

This paper outlines the rationale underpinning the conception of science education as sociopolitical action, and then presents a critique of such a conception from the perspective of liberal education. More specifically, the paper discusses the importance of the conception of science education as sociopolitical action and then raises questions about the content of school science, about the place and value of scientific inquiry, and about the opportunities students have for self-directed inquiry. The central idea behind the critique is that a (...) conception of science education as sociopolitical action downplays the importance of knowledge for its own sake and totally neglects the personal/aesthetic dimension of science. (shrink)

La creación de imágenes científicas es uno de los ámbitos más activos dentro de la cultura visual. Este artículo describe, en su primera parte, las cuatro dimensiones principales de la imagen científica (las dimensiones cognitiva, constructiva, pragmática y estética), para poner el énfasis al final de su descripción en la presente convergencia de la ciencia y del arte. En su segunda parte analiza un conocido caso de imagen paracientífica actual, donde a través de una específica combinación de dichas cuatro dimensiones (...) comparecen ejemplarmente buen número de las obsesiones a la vez epistémicas y políticas de la contemporaneidad. (shrink)

‘Simplicity’ comes up in different senses in scientific methodology. The simplicity criterion at issue here is relied on in all inductive inference, it’s argued. Therefore, it cannot be inductively...

This paper examines the points of disagreement between Petrus Camper and J. W. von Goethe regarding the existence of the inter-maxillary bone in humans as the link between man and the rest of nature. This historical case illustrates the fundamental role of aesthetic judgements in scientific discovery. Thus, I shall show how the eighteenth century discovery of the inter-maxillary bone in humans was largely determined by aesthetic factors—specifically, those sets of assumptions and criteria implied in the aesthetic schemata of Camper (...) and Goethe. I argue that the relevance of scientifically ascertainable morphological properties that count as evidence for the existence of bona fide anatomical structures depend on the aesthetic schema adopted by the communities assessing the classification. At the same time, I propose and explain mechanisms by which aesthetic considerations might determine the acceptability of empirical claims about the world. Based on the reconstruction of the arguments of Camper and Goethe, I conclude that aesthetic considerations play a substantive role in both the generation and preliminary evaluation of scientific hypotheses. This paper suggests a complementary relation between the mediation of aesthetic criteria in theory choice and in scientific discovery in that while aesthetic considerations in theory choice lead to conservatism; in the context of discovery they often lead to innovation. (shrink)

Agnes Arber (1879-1960) was a British botanist who was a leading plant morphologist during the first half of the 20th century. She also wrote on the history and philosophy of botany. I argue in this article that her philosophical work on form and on how the work of the mind and the eye relate to each other in morphological research are relevant to the science of today. Arber's unusual blend of interests - in botany, history, philosophy, and art - put (...) her in a unique position to examine issues of form. Even her unorthodox ideas on evolution can now be seen as fitting in well with discussions of natural selection as the predominant engine of evolutionary change. Arber's views also throw light on present work dealing with developmental plant genetics and with the study of protein form. I will further argue that her marginal position relative to institutional science, while it may have left her vulnerable to criticism, also made possible her deep philosophical reflections on morphology. (shrink)

The theoretical physicist Paul Dirac rejected, explicitly on aesthetic grounds, a successful theory known as quantum electrodynamics (QED), which is the prototype for the family of theories known as quantum field theories (QFTs). Remarkably, the theoretical physicist Steven Weinberg, also largely on aesthetic grounds, supports QED and other QFTs. In order to evaluate these opposing aesthetic views a short introduction to the physical properties of QFTs is presented together with a detailed analysis of the aesthetic claims of Dirac and Weinberg. (...) It turns out that Dirac rejected QED, without regard to its success, because this theory fails to yield to what he perceived as beautiful mathematics, whereas Weinberg's support of QFTs is founded primarily on the physical concepts of the theories. In particular, he relies on symmetries that are the basis for the construction of the extremely successful current fundamental theories of particles physics. This success was decisive in leading to Weinberg's conviction of the beauty of QFTs. As a result of the evaluation of these approaches, the factors causing scientists to perceive a theory as being a fundamentally beautiful theory are discussed in detail. (shrink)

Einstein's theories of special and general relativity are unanimously praised by scientists for their extraordinary beauty to the extent that some consider the latter to be the most beautiful theory in physics. The grounds for these assertions are assessed here and it is concluded that the beauty of Einstein's theories can be attributed to two of their aspects. The first is that they incorporate all possible ingredients that constitute the beauty of theories: simplicity, symmetry, invariance, unification, etc. The second concerns (...) the perfect logical consistency of Einstein's theories, a crucial factor in the unanimous praise of their beauty. Theories other than Einstein's are also assessed here, namely, electromagnetism and the various quantum theories, and it is concluded that all these suffer from logical flaws. This has resulted in a lack of consensus among scientists with respect to their beauty. Consequently, the unanimous claim that Einstein's theories are of superior beauty as compared to other theories in physics is hereby substantiated. (shrink)

Karl Popper is famous for having proposed that science advances by a process of conjecture and refutation. He is also famous for defending the open society against what he saw as its arch enemies – Plato and Marx. Popper’s contributions to thought are of profound importance, but they are not the last word on the subject. They need to be improved. My concern in this book is to spell out what is of greatest importance in Popper’s work, what its failings (...) are, how it needs to be improved to overcome these failings, and what implications emerge as a result. The book consists of a collection of essays which dramatically develop Karl Popper’s views about natural and social science, and how we should go about trying to solve social problems. Criticism of Popper’s falsificationist philosophy of natural science leads to a conception of science that I call aim-oriented empiricism. This makes explicit metaphysical theses concerning the comprehensibility and knowability of the universe that are an implicit part of scientific knowledge – implicit in the way science excludes all theories that are not explanatory, even those that are more successful empirically than accepted theories. Aim-oriented empiricism has major implications, not just for the academic discipline of philosophy of science, but for science itself. Popper generalized his philosophy of science of falsificationism to arrive at a new conception of rationality – critical rationalism – the key methodological idea of Popper’s profound critical exploration of political and social issues in his The Open Society and Its Enemies, and The Poverty of Historicism. This path of Popper, from scientific method to rationality and social and political issues is followed here, but the starting point is aim-oriented empiricism rather than falsificationism. Aim-oriented empiricism is generalized to form a conception of rationality I call aim-oriented rationalism. This has far-reaching implications for political and social issues, for the nature of social inquiry and the humanities, and indeed for academic inquiry as a whole. The strategies for tackling social problems that arise from aim-oriented rationalism improve on Popper’s recommended strategies of piecemeal social engineering and critical rationalism, associated with Popper’s conception of the open society. This book thus sets out to develop Popper’s philosophy in new and fruitful directions. The theme of the book, in short, is to discover what can be learned from scientific progress about how to achieve social progress towards a better world. (shrink)

What ought to be the aims of science? How can science best serve humanity? What would an ideal science be like, a science that is sensitively and humanely responsive to the needs, problems and aspirations of people? How ought the institutional enterprise of science to be related to the rest of society? What ought to be the relationship between science and art, thought and feeling, reason and desire, mind and heart? Should the social sciences model themselves on the natural sciences: (...) or ought they to take a different form if they are to serve the interests of humanity objectively, sensitively and rigorously? Might it be possible to get into human life, into art, education, politics, industry, international affairs, and other domains of human activity, the same kind of progressive success that is found so strikingly, on the intellectual level, within science? These are some of the questions tackled by What’s Wrong With Science? But the book is no abstruse treatise on the philosophy of science. Most of it takes the form of a passionate debate between a Scientist and a Philosopher, a debate that is by turns humorous, ironical, bitter, dramatically explosive. Even as the argument explores the relationship between thought and feeling, reason and desire, the two main protagonists find it necessary to examine their own feelings and motivations. (shrink)

This paper challenges the appeal to theory virtues in theory choice as well as the appeal to the intellectual and moral virtues of an agent as determining unique choices between empirically equivalent theories. After arguing that theoretical virtues do not determine the choice of one theory at the expense of another theory, I argue that nor does the appeal to intellectual and moral virtues single out one agent, who defends a particular theory, and exclude another agent defending an alternative theory. (...) I analyse Duhem’s concept of good sense and its recent interpretation in terms of virtue epistemology. I argue that the virtue epistemological interpretation does not show how good sense leads to conclusive choices and scientific progress. (shrink)

The aim of this work is to account for expressions like “Cantor’s diagonal proof is elegant” or “Euler identity is the most beautiful formula of mathematics”. This type of expressions is common among mathematicians; however, they may result in two kinds of puzzled reactions: first, the non mathematician may find the use of the word ‘beautiful’ strange in this context. Second, the mathematician may try to reinterpret mathematical beauty in terms of the principles and precepts of mathematics itself. I present (...) an account of mathematical beauty that offers a way to avoid these puzzled reactions: mathematical beauty is just a type of “normal” beauty and no reinterpretation is necessary. To support this claim, I devise an aesthetic theory -by using insights and findings from experimental psychology, neurology, philosophical and psychological theories of emotion in art, philosophy of music and philosophy of science- that shows that aesthetic judgments in mathematics are genuine aesthetic judgments. (shrink)

In this paper I argue for a priori conjectural scientific knowledge about the world. Physics persistently only accepts unified theories, even though endlessly many empirically more successful disunified rivals are always available. This persistent preference for unified theories, against empirical considerations, means that physics makes a substantial, persistent metaphysical assumption, to the effect that the universe has a (more or less) unified dynamic structure. In order to clarify what this assumption amounts to, I solve the problem of what it means (...) to say of a theory that it is unified. There are, I argue, eight different kinds of unity important in theoretical physics, all varieties of one basic idea. This provides us with a precise way of partially ordering physical theories with respect to their degree of unity. It also leads to a hierarchical view of physics, according to which physics makes a number of increasingly insubstantial metaphysical assumptions concerning the comprehensibility and knowability of the universe. Two of these are identified as constituting a priori conjectures. I conclude by arguing that the view developed in the paper resolves the traditional clash between empiricism and rationalism in the philosophy of science, and has important implications for science, and for academic inquiry more generally. (shrink)

This is a review of Hossenfelder’s book, Lost in Math: How Beauty Leads Physics Astray. The book gives a breezy exposition of the present situation in fundamental physics, and raises important questions: both about the content of the physics, and the way physics research is organized. I first state my main disagreements. Then, I mostly praise the book: I concentrate on Hossenfelder’s discussion of supersymmetry, naturalness and the multiverse.

This paper discusses Theo Kuipers' account of beauty and truth. It challenges Kuipers' psychological account of how scientists come to appreciate beautiful theories, as well as his attempt to justify the use of aesthetic criteria on the basis of a "meta-induction." I propose an alternative psychological/philosophical account based on emotional coherence.

This paper comments on an article by V.S. Ramachandran and William Hirstein (JCS,1999) in which they purport to be identifying the neurological principles of beauty. I draw attention to the way the problem of beauty is construed in the philosophical literature by Mary Mothersill (1984) and Immanuel Kant (Critique of Judgment). I argue that Ramachandran and Hirsteins' principles do not address the problem of beauty because they do not differentiate between the experience of beauty and other closely related phenomena. I (...) then show how one might address the problem of beauty within the framework that they have adopted. (shrink)

Continental philosophies of science tend to exemplify holistic themes connecting order and contingency, questions and answers, writers and readers, speakers and hearers. Such philosophies of science also tend to feature a fundamental emphasis on the historical and cultural situatedness of discourse as significant; relevance of mutual attunement of speaker and hearer; necessity of pre-linguistic cognition based in human engagement with a common socio-cultural historical world; role of narrative and metaphor as explanatory; sustained emphasis on understanding questioning; truth seen as horizonal, (...) aletheic, or perspectival; and a tolerance for paradoxical and complex forms of expression. Continental philosophy of science is thus more comprehensive than philosophy of science in the analytic tradition, including (and as analytic philosophy of science does not tend to include) perspectives on the history of science as well as the social and practical dimensions of scientific discovery. Where analytic philosophy is about reducing or, indeed, eliminating the perennial problems of philosophy, Continental philosophy is all about thinking and that will mean, as both Heidegger and Nietzsche emphasize, making such problems more not less problematic. (shrink)

Ormerod and Chronicle reported that optimal solutions to traveling salesperson problems were judged to be aesthetically more pleasing than poorer solutions and that solutions with more convex hull nodes were rated as better figures. To test these conclusions, solution regularity and the number of potential intersections were held constant, whereas solution optimality, the number of internal nodes, and the number of nearest neighbors in each solution were varied factorially. The results did not support the view that the convex hull is (...) an important determinant of figural attractiveness. Also, in contrast to the findings of Ormerod and Chronicle, there were consistent individual differences. Participants appeared to be divided as to whether the most attractive figure enclosed a given area within a perimeter of minimum or maximum length. It is concluded that future research in this area cannot afford to focus exclusively on group performance measures. (shrink)