In an earlier article on this journal I argued that the problem of empirical underdetermination can for the largest part be solved by theoretical virtues, and for the remaining part it can be tolerated. Here I confront two further challenges to scientific realism based on underdetermination. First, there are four classes of theories which may seem to be underdetermined even by theoretical virtues. Concerning them I argue that (i) theories produced by trivial permutations and (ii) “equivalent descriptions” are compatible with (...) the truth of standard theories; instead (iii) “as if” versions of standard theories are much worse from the point of view of theoretical virtues; finally (iv) mathematically intertranslatable theories either may become empirically decidable in the future, or can be discriminated by theoretical virtues, or realists may simply plead ignorance about their claims. Secondly, I consider Stanford’s underdetermination with respect unconceived alternatives, arguing that it essentially relies on the pessimistic meta-induction from the falsity of all past theories. Therefore, it can be resisted by (a) considering the radical advancement of present with respect to past science, and (b) arguing with selective realism that past successful theories, even if false, always included some true components. (shrink)

Olaf Müller’s book develops a new case for underdetermination, and, as he is focusing on theories of a ‘limited domain’, this assumes the containability of the theories. First, the paper argues that Müller’s theory of darkness is fundamentally Newtonian, but for Newton’s optical theory the type of theoretical structure Müller adopts is problematic. Second, the paper discusses seventeenth-century challenges to Newton, changes in the proof-structure of Newton’s optical theory, and how these affect Müller’s reconstruction. Müller’s book provides empirically equivalent theories, (...) yet the historical theories were not empirically equivalent, and the same experiments were used to extract different bodies of evidence to rebut the opponent. Third, Goethe’s multi-layered critique of Newton’s experimental proof is investigated, including his developmental account of prismatic colours, the role of experimental series in rejecting Newton’s observations, and his incorporation of the ‘limited domain’ of prismatic colours in a broader framework. Two key elements of Goethe’s method, polarity and strengthening are discussed in contrast to Müller, who only utilises polarity in his account. Finally Neurath’s attempts to come to grips with the optical controversies and the prism-experiments with ‘blurred edges’ are recalled. Müller also discusses in detail some of these experiments and heavily draws on Quine. Neurath developed Duhem’s and Poincaré’s conventionalist insights and had good reasons to be pessimistic about theory-containment. Their differences provide some additions to the history of the Duhem–Quine thesis. (shrink)

ABSTRACT -/- Since Newton established the bases of classical mechanics, it has been readily accepted that statics is a chapter of physics. However, from Antiquity to the Renaissance the two disciplines, statics and dynamics, had different histories that only sometimes interacted with one another. In this article, part of this process is described whereby statics was established during Antiquity in rigorous and mathematical form, whereas dynamics confronted conceptual and empirical difficulties, which began to be clarified only in the Renaissance. The (...) laws of statics were initially established by Archimedes using a rigorous axiomatic system. It is shown that while there was a strong resurgence of the Archimedean tradition during the Renaissance, there was also a rival tradition that was, up to a point, disposed to sacrifice mathematical rigor, and instead make use of dynamical principles that have dubious foundation but that are heuristically efficacious. Galileo was a clear exponent of the new Renaissance culture interested in connecting the traditions of statics and dynamics; he considered it possible to give a rigorous and geometrical foundation to the study of movement, that enabled him to resolve the tension between statics and dynamics and to bring Renaissance mathematics to a successful realization that contributed to the birth of a new physics. -/- Keywords: Archimedes. Aristotelian physics. Galileo. Statics. Dynamics. Antiquity. Renaissance. Momentum. Lever. Inclined plane. (shrink)

(1) An introduction to the principles of conceptual modelling, combinatorial heuristics and epistemological history; (2) the examination of a number of perennial epistemological-methodological schemata: conceptual spaces and blending theory; ars inveniendi and ars demonstrandi; the two modes of analysis and synthesis and their relationship to ars inveniendi; taxonomies and typologies as two fundamental epistemic structures; extended cognition, cognitio symbolica and model-based reasoning; (3) Plato’s notions of conceptual spaces, conceptual blending and hypothetical-analogical models (paradeigmata); (4) Ramon Llull’s concept analysis and combinatoric (...) spaces; (5) Gottfried Leibniz’s development of compositional analysis and synthesis as a general modelling method and a paradigm for ars inveniendi; (6) Fritz Zwicky’s revival of the morphological method of analysis and construction, and its subsequent computerised applications. (shrink)

I present a systematic interpretation of the foundational purpose of constructions in ancient Greek geometry. I argue that Greek geometers were committed to an operationalist foundational program, according to which all of mathematics—including its entire ontology and epistemology—is based entirely on concrete physical constructions. On this reading, key foundational aspects of Greek geometry are analogous to core tenets of 20th-century operationalist/positivist/constructivist/intuitionist philosophy of science and mathematics. Operationalism provides coherent answers to a range of traditional philosophical problems regarding classical mathematics, such (...) as the epistemic warrant and generality of diagrammatic reasoning, superposition, and the relation between constructivism and proof by contradiction. Alleged logical flaws in Euclid can be interpreted as sound operationalist reasoning. Operationalism also provides a compelling philosophical motivation for the otherwise inexplicable Greek obsession with cube duplication, angle trisection, and circle quadrature. Operationalism makes coherent sense of numerous specific choices made in this tradition, and suggests new interpretations of several solutions to these problems. In particular, I argue that: Archytas’s cube duplication was originally a single-motion machine; Diocles’s cissoid was originally traced by a linkage device; Greek conic section theory was thoroughly constructive, based on the conic compass; in a few cases, string-based constructions of conic sections were used instead; pointwise constructions of curves were rejected in foundational contexts by Greek mathematicians, with good reason. Operationalism enables us to view the classical geometrical tradition as a more unified and philosophically aware enterprise than has hitherto been recognised. (shrink)

La universidad fue una invención europea y desde su origen en el siglo XIII ha tenido un papel decisivo en la formación de la Europa moderna y en su expansión al resto del mundo. Pero, a partir de 1945, Europa pierde su hegemonía y las universidades se globalizan. Además, en las cuatro últimas décadas se ha impuesto el neoliberalismo y, con él, el llamado capitalismo académico o educativo. En este artículo se hace un balance de las grandes transformaciones de la (...) institución universitaria y, siguiendo la inspiración de José Ortega y Gasset, Jacques Derrida y Boaventura de Sousa Santos, se esbozan algunas propuestas sobre el papel que debería desempeñar en el siglo XXI. (shrink)

The concept of energy, the premier concept of physics and indeed of all science, is here investigated from the standpoint of its early historical origin and the philosophical implications thereof. The fundamental assumption is made that the root of the concept is the notion of invariance or constancy in the midst of change. Salient points in the development of this idea are presented from ancient times up to the publication of Lagrange'sMécanique Analytique (1788).

The aim of this dissertation is to compare Nietzsche's three transformations of the spirit, as set forth in Thus Spoke Zarathustra, to Confucius's personal experience of self-cultivation in the Analects . For Nietzsche, the first stage, the camel, emphasizes the willingness to be "humble" and wanting to be "well-loaded" in the teachings of the tradition. This is reflected in Confucius's first step in self-cultivation, that is, at the age of fifteen, in which he "sets his heart-mind upon learning." Nietzsche's lion (...) stage corresponds to Confucius's ages of thirty and forty. This is a period of reflective inquiry in which one goes beyond the boundaries of traditional values to evaluate critically what one has learned. Nietzsche's child stage is a new beginning where one is free from the burdens of inherited values and able to "recreate" the world. This is comparable to Confucius's ages of fifty and sixty when he creates the idea of ren and lives accordingly. Nietzsche's child stage is further developed with the formation of the ideas: amor fati and the eternal recurrence of the same. The former is the acceptance and appreciation of one's past whereas the latter is the ability to overcome the world's apparent meaninglessness and to summon the courage to say "yes" to the world and all its foibles. For Confucius, too, there is no other life but living in the world. His junzi is not beaten down by the vagaries of fate. He neither complains nor blames, but lives naturally with tianming. As a disciple of Confucius or Nietzsche, one has to learn from living in the everyday world. (shrink)

Empedocles’ B100 contains an analogy between a girl handling a clepsydra and respiration. This article argues that proposals to establish Love or Persephone as the girl’s respiratory equivalent are rendered unlikely by differences between their respective causal roles. Rather than her gender, this article emphasises the importance of the girl’s age: Empedocles required a playful child to handle the clepsydra. This child’s play results in the extra phase of submerging the clepsydra while the upper vent is open, which Empedocles needed (...) to form a parallel for the first static phase of respiration. (shrink)

The most striking advances in the knowledge of human anatomy and physiology that the world had ever known—or was to know until the seventeenth century A.D.—took place in Hellenistic Alexandria. The city was founded in 331 B.C. by Alexander the Great. After the tatter's death in 323 B.C. and the subsequent dissolution of his empire, it became the capital of one of his generals, Ptolemy, son of Lagus, who established the Ptolemaic dynasty there. The first Ptolemy, subsequently named Soter , (...) and his son Ptolemy Philadelphus , became immensely enriched by their exploitation of Egypt and raised the city to a position of great wealth and magnificence. Anxious to enhance both their own reputation and the prestige of the kingdom, they sought to rival the cultural and scientific achievements not only of other Hellenistic rulers but even of Athens herself. Their patronage of the arts and sciences, coupled with their establishment of the Museum , together with the Library, made the city the centre of Hellenistic culture. Philosophers, mathematicians, astronomers, artists, poets and physicians were all encouraged to come and work there. (shrink)