The history of mathematics can be read in two ways. On the one hand, unlike the history of physics, it does not proceed by conjectures and refutations. New theories rarely refute old theories, but give them new foundations, generalize them, and reinterpret them through new concepts. This reading is unifying, highlighting the unity of the history of mathematics from its origins, through the permanence of its truths. On the other hand, many contemporary historians of mathematics have insisted on the diversity (...) of methods, objects, and practices throughout history. They have shown that the objects of the past mathematics are not the same as those of today. That second reading shatters the illusion of unity. It disjoins what the first reading unifies.Rather than deciding between these two readings, this chapter examines what makes them both possible and legitimate, based on an analysis of the acts of reading that we have to perform when confronted with the pages of a mathematical text, its signs, diagrams and images, and the different language modalities it employs. Starting with a discussion of Husserl's theses in The Origin of Geometry on the role of writing in the history of mathematics, and using a number of historical examples, the chapter shows that any reading of a mathematical text involves at least three divisions, three delimitations made by the reader’s gaze: divisions between the true and the false, between language and image, and between what is inside mathematics and what is outside. For the same text, these divisions are traced by the gaze in different ways throughout history.The chapter develops an example in greater detail, concerning the status of the equation in Descartes’ Geometry. It discusses the contrasting recent readings of the equation by two historians of science, Henk Bos and Enrico Giusti. It shows the concepts of The Geometry and the ideas the philosopher develops on reading and the nature of the sign. It shows how these ideas can be used to reconstruct how Descartes might have read a mathematical text, and it explains how successive readings of The Geometry can at the same time insert it into the mathematics of later centuries. (shrink)

Introduction: Motor evoked potentials (MEPs) to transcranial magnetic stimulation are known to be susceptible to several sources of variability. However, conflicting evidences on individual characteristics in relatively small sample sizes have been reported. We investigated the effect of age, height, and sex on MEPs of the motor cortex and spinal roots in a large cohort. Methods: A total of 587 subjects clinically and neuroradiologically intact were included. MEPs were recorded during mild tonic contraction through a circular coil applied over the (...) “hot spot” of the first dorsal interosseous and tibialis anterior muscles, bilaterally. Central motor conduction time (CMCT) was estimated as the difference between MEP cortical latency and the peripheral motor conduction time by cervical or lumbar magnetic stimulation. Peak-to-peak MEP amplitude to cortical stimulation and right-to-left difference of each parameter were also measured. Results: After Bonferroni correction, general linear (multiple) regression analysis showed that both MEP cortical latency and peripheral motor conduction time at four limbs positively correlated with age and height. At lower limbs, an independent effect of sex on the same measures was also observed (with females showing smaller values than males). CMCT correlated with both age (negatively) and height (positively) when analyzed by a single regression; however, with a multiple regression analysis this significance disappeared, due to the correction for the multicollinearity within the dataset. Conclusions: Physical individual features need to be considered for a more accurate and meaningful MEPs interpretation. Both in clinical practice and in research setting, patients and controls should be matched for age, height, and sex. (shrink)

It is generally argued that if the wave-function in the de Broglie–Bohm theory is a physical field, it must be a field in configuration space. Nevertheless, it is possible to interpret the wave-function as a multi-field in three-dimensional space. This approach hasn’t received the attention yet it really deserves. The aim of this paper is threefold: first, we show that the wave-function is naturally and straightforwardly construed as a multi-field; second, we show why this interpretation is superior to other interpretations (...) discussed in the literature; third, we clarify common misconceptions. (shrink)

Predictivists use the no miracle argument to argue that “novel” predictions are decisive evidence for theories, while mere accommodation of “old” data cannot confirm to a significant degree. But deductivists claim that since confirmation is a logical theory-data relationship, predicted data cannot confirm more than merely deduced data, and cite historical cases in which known data confirmed theories quite strongly. On the other hand, the advantage of prediction over accommodation is needed by scientific realists to resist Laudan’s criticisms of the (...) no miracle argument. So, if the deductivists are right, the most powerful argument for realism collapses. There seems to be an inescapable contradiction between these prima facie plausible arguments of predictivists and deductivists; but this puzzle can be solved by understanding what exactly counts as novelty, if novel predictions must support the no miracle argument, i.e., if they must be explainable only by the truth of theories. Taking my cues from the use-novelty tradition, I argue that (1) the predicted data must not be used essentially in building the theory or choosing the auxiliary assumptions. This is possible if the theory and its auxiliary assumptions are plausible independently of the predicted data, and I analyze the consequences of this requirement in terms of best explanation of diverse bodies of data. Moreover, the predicted data must be (2) a priori improbable, and (3) heterogeneous to the essentially used data. My proposed notion of novelty, therefore, is not historical, but functional. Hence, deductivists are right that confirmation is independent of time and of historical contingencies such as if the theorist knew a datum, used it, or intended to accommodate it. Predictivists, however, are right that not all consequences confirm equally, and confirmation is not purely a logical theory-data relation, as it crucially involves background epistemic conditions and the notion of best explanation. Conditions (1)–(3) make the difference between prediction and accommodation, and account for the confirming power of theoretical virtues such as non ad-hocness, non-fudging, non-overfitting, independence and consilience. I thus show that functional novelty (a) avoids the deductivist objections to predictivism, (b) is a gradual notion, in accordance with the common intuition that confirmation comes in degrees, and (c) supports the no miracle argument, so vindicating scientific realism. (shrink)

L'auteur, en suivant la voie d'une généalogie du signe, repense la théorie de l'imagination qui, selon Spinoza, s'enracine dans la puissance du corps, se révélant indissociable d'une herméneutique.

There are two possible realist defense strategies against the pessimistic meta-induction and Laudan’s meta-modus tollens: the selective strategy, claiming that discarded theories are partially true, and the discontinuity strategy, denying that pessimism about past theories can be extended to current ones. A radical version of discontinuity realism is proposed by Gerald Doppelt: rather than discriminating between true and false components within theories, he holds that superseded theories cannot be shown to be even partially true, while present best theories are demonstrably (...) completely true. I argue that this position, running counter both the cumulativity of science and fallibilism, is untenable; it cannot account for the success of past theories, nor for the failures of current theories, and rather than shutting the door to the pessimistic historical objections it opens it wide. The best strategy, instead, joins the selective idea there was both some truth and some falsity in discarded theories, like in current ones, with the moderate discontinuity idea that the truth rate in present best theories is much greater than in past ones. (shrink)

Versé autant dans les arts libéraux que dans les arts mécaniques, Spinoza fut aussi tailleur de verre à Amsterdam, sans doute acteur de théâtre, probablement dessinateur. Il fréquenta la boutique d'antiquaire de Franciscus Van den Enden et fut proche de la société des arts Nil volentibus arduum ; il habitait non loin de Rembrandt et Potter et appréciait la compagnie de peintres et de décorateurs. Élaborée au coeur du siècle d'or de la peinture hollandaise, cette philosophie a souvent inspiré les (...) artistes. Comment expliquer un tel regard non philosophique sur une philosophie qui ne présente pas une pensée développée sur les arts? Comment expliquer qu'on ait tenté d'emprunter les voies de l'esthétique pour pénétrer une philosophie qui ne constitue pas ce champ de réflexion en un domaine autonome? (shrink)

Most social scientists and philosophers claim that sociology and philosophy are disjoint fields of inquiry. Some have wondered how to trace the precise boundary between them. Mario Bunge argues that the two fields are so entangled with one another that no demarcation is possible or, indeed, desirable. In fact, sociological research has demonstrably philosophical pre-suppositions. In turn, some findings of sociology are bound to correct or enrich the philosophical theories that deal with the world, our knowledge of it, or (...) the ways of acting upon it. While Bunge's thesis would hardly have shocked Mill, Marx, Durkheim, or Weber, it is alien to the current sociological mainstream and dominant philosophical schools. Bunge demonstrates that philosophical problematics arise in social science research. A fertile philosophy of social science unearths critical presuppositions, analyzes key concepts, refines effective research strategies, crafts coherent and realistic syntheses, and identifies important new problems. Bunge examines Marx's and Durkheim's thesis that social facts are as objective as physical facts; the so-called Thomas theorem that refutes the behaviorist thesis that social agents react to social stimuli rather than to the way we perceive them; and Merton's thesis on the ethos of basic science which shows that science and morality are intertwined. He considers selected philosophical problems raised by contemporary social studies and argues forcefully against tolerance of shabby work in academic social science and philosophy alike. (shrink)

Machine generated contents note: I. METAPHYSICS -- 1. How Do Realism, Materialism, and Dialectics Fare in Contemporary Science? -- 2. New Dialogues between Hylas and Philonous -- 3. Energy: Between Physics and Metaphysics -- 4. The Revival of Causality -- 5. Emergence and the Mind -- 6 SCIENTIFIC REALISM -- 6. The Status of Concepts -- 7. Popper's Unworldly World 3 --II. METHODOLOGY AND PHILOSOPHY OF SCIENCE -- 8. On Method in the Philosophy of Science -- 9. Induction in Science (...) -- 10. The GST Challenge to the Classical Philosophies of Science -- 11. The Power and Limits of Reduction -- 12. Thinking in Metaphors --III. PHILOSOPHY OF MATHEMATICS -- 13. Moderate Mathematical Fictionism -- 14. The Gap between Mathematics and Reality -- 15. Two Faces and Three Masks of Probability --IV. PHILOSOPHY OF PHYSICS -- 16. Physical Relativity and Philosophy -- 17. Hidden Variables, Separability, and Realism -- 18. Schrodinger's Cat Is Dead --V. PHILOSOPHY OF PSYCHOLOGY -- 19. From Mindless Neuroscience and Brainless Psychology to Neuropsychology -- 20. Explaining Creativity -- VI. PHILOSOPHY OF SOCIAL SCIENCE -- 21. Analytic Philosophy of Society and Social Science: -- The Systemic Approach as an Alternative to Holism and Individualism -- 22. Rational Choice Theory: A Critical Look at Its Foundations -- 23. Realism and Antirealism in Social Science --VII. PHILOSOPHY OF TECHNOLOGY -- 24. The Nature of Applied Science and Technology -- 25. The Technology-Science-Philosophy Triangle in Its Social Context -- 26. The Technologies in Philosophy --VIII. MORAL PHILOSOPHY -- 27. A New Look at Moral Realism -- 28. Rights Imply Duties --IX. SOCIAL AND POLITICAL PHILOSOPHY -- 29. Morality Is the Basis of Legal and Political Legitimacy -- 30. Technoholodemocracy: An Alternative to -- Capitalism and Socialism -- Bibliography -- Index of Names -- Index of Subjects. (shrink)

I want to combine two hitherto largely independent research projects, scientific understanding and mechanistic explanations. Understanding is not only achieved by answering why-questions, that is, by providing scientific explanations, but also by answering what-questions, that is, by providing what I call scientific descriptions. Based on this distinction, I develop three forms of understanding: understanding-what, understanding-why, and understanding-how. I argue that understanding-how is a particularly deep form of understanding, because it is based on mechanistic explanations, which answer why something happens in (...) virtue of what it is made of. I apply the three forms of understanding to two case studies: first, to the historical development of thermodynamics and, second, to the differences between the Clausius and the Boltzmann entropy in explaining thermodynamic processes. (shrink)

Deployment Realism resists Laudan’s and Lyons’ objections to the “No Miracle Argument” by arguing that a hypothesis is most probably true when it is deployed essentially in a novel prediction. However, Lyons criticized Psillos’ criterion of essentiality, maintaining that Deployment Realism should be committed to all the actually deployed assumptions. But since many actually deployed assumptions proved false, he concludes that the No Miracle Argument and Deployment Realism fail. I reply that the essentiality condition is required by Occam’s razor. In (...) fact, there is a simpler formulation of essentiality which escapes Lyons’ criticisms and rescues the No Miracle Argument and Deployment Realism from their purported historical counterexamples: a hypothesis is essential when it has no proper parts (in Yablo’s sense) sufficient to derive the same prediction. Although essentiality so conceived cannot be detected prospectively, this is just natural, and it is not a problem but an advantage for Deployment Realism. (shrink)

The ontological models framework distinguishes ψ-ontic from ψ-epistemic wave- functions. It is, in general, quite straightforward to categorize the wave-function of a certain quantum theory. Nevertheless, there has been a debate about the ontological status of the wave-function in the statistical interpretation of quantum mechanics: is it ψ-epistemic and incomplete or ψ-ontic and complete? I will argue that the wave- function in this interpretation is best regarded as ψ-ontic and incomplete.

What does it take to understand a phenomenon ideally, or to the highest conceivable extent? In this paper, we answer this question by arguing for five necessary conditions for ideal understanding: (i) representational accuracy, (ii) intelligibility, (iii) truth, (iv) reasonable endorsement, and (v) fitting. Even if one disagrees that there is some form of ideal understanding, these five conditions can be regarded as sufficient conditions for a particularly deep level of understanding. We then argue that grasping, novel predictions, and transparency (...) are not reasonable conditions for ideal understanding. (shrink)

Chasing Reality deals with the controversies over the reality of the external world. Distinguished philosopher Mario Bunge offers an extended defence of realism, a critique of various forms of contemporary anti-realism, and a sketch of his own version of realism, namely hylorealism. Bunge examines the main varieties of antirealism - Berkeley's, Hume's, and Kant's; positivism, phenomenology, and constructivism - and argues that all of these in fact hinder scientific research. Bunge's realist contention is that genuine explanations in the sciences (...) appeal to causal laws and mechanisms that are not directly observable, rather than simply to empirical generalisations. Genuine science, in his view, is objective even when it deals with subjective phenomena such as feelings of fear. This work defends a realist view of universals, kinds, possibilities, and dispositions, while rejecting contemporary accounts of these that are couched in terms of modal logic and 'possible worlds.'. (shrink)

Philosophers now seem to agree that frequentism is an untenable strategy to explain the meaning of probabilities. Nevertheless, I want to revive frequentism, and I will do so by grounding probabilities on typicality in the same way as the thermodynamic arrow of time can be grounded on typicality within statistical mechanics. This account, which I will call typicality frequentism, will evade the major criticisms raised against previous forms of frequentism. In this theory, probabilities arise within a physical theory from statistical (...) behavior of almost all initial conditions. The main advantage of typicality frequentism is that it shows which kinds of probabilities (that also have empirical relevance) can be derived from physics. Although one cannot recover all probability talk in this account, this is rather a virtue than a vice, because it shows which types of probabilities can in fact arise from physics and which types need to be explained in different ways, thereby opening the path for a pluralistic account of probabilities. (shrink)

This volume has 41 chapters written to honor the 100th birthday of Mario Bunge. It celebrates the work of this influential Argentine/Canadian physicist and philosopher. Contributions show the value of Bunge’s science-informed philosophy and his systematic approach to philosophical problems. The chapters explore the exceptionally wide spectrum of Bunge’s contributions to: metaphysics, methodology and philosophy of science, philosophy of mathematics, philosophy of physics, philosophy of psychology, philosophy of social science, philosophy of biology, philosophy of technology, moral philosophy, social and (...) political philosophy, medical philosophy, and education. The contributors include scholars from 16 countries. Bunge combines ontological realism with epistemological fallibilism. He believes that science provides the best and most warranted knowledge of the natural and social world, and that such knowledge is the only sound basis for moral decision making and social and political reform. Bunge argues for the unity of knowledge. In his eyes, science and philosophy constitute a fruitful and necessary partnership. Readers will discover the wisdom of this approach and will gain insight into the utility of cross-disciplinary scholarship. This anthology will appeal to researchers, students, and teachers in philosophy of science, social science, and liberal education programmes. 1. Introduction Section I. An Academic Vocation Section II. Philosophy Section III. Physics and Philosophy of Physics Section IV. Cognitive Science and Philosophy of Mind Section V. Sociology and Social Theory Section VI. Ethics and Political Philosophy Section VII. Biology and Philosophy of Biology Section VIII. Mathematics Section IX. Education Section X. Varia Section XI. Bibliography. (shrink)

« À chaque lecture, chaque livre est mentalement “réécrit” par son lecteur comme Ménard réécrivit le Quichotte. Ainsi, l’infatigable fable borgésienne est peut-être moins une parabole sophistiquée de la littérature, qu’une description fidèle et somme toute évidente de l’acte de lire ». Lire au sens propre et courant, c’est déchiffrer une écriture, un signe ou une suite de signes renvoyant conventionnellement à des objets (lire un pictogramme), à des sons musicaux (lire une partition), à des m...

A Neuroscientist Offers Evidence of Where the Brain Ends and Consciousness Begins.

Instead of reading Spinoza's account of the imagination in an anthropocentric way, as dependent on the traditional doctrine of human faculties, the author considers it as a consequence of his physics and cosmology. Knowledge by signs, as Spinoza calls imagination, has to be rooted in his theory of marks and images, and concerns all beings (human and non human) that are capable of marking and being marked by other bodies in the infinite semiosis of nature.

A powerful critique of nudge theory and the paternalist policies of behavioral economics, and an argument for a more inclusive form of rationality.

This paper investigates the historical origin and ancestors of typicality, which is now a central concept in Boltzmannian Statistical Mechanics and Bohmian Mechanics. Although Ludwig Boltzmann did not use the word typicality, its main idea, namely, that something happens almost always or is valid for almost all cases, plays a crucial role for his explanation of how thermodynamic systems approach equilibrium. At the beginning of the 20th century, the focus on almost always or almost everywhere was fruitful for developing measure (...) theory and probability theory. It was apparently Hugh Everett III who first mentioned typicality in physics in 1957 while searching for a justification of the Born rule in his interpretation of quantum mechanics. The historically closest concept before these developments is moral certainty, which was invented by the medieval French theologian Jean Gerson, and it became a standard concept at least until the Age of Enlightenment, when Jakob Bernoulli proved the Law of Large numbers. (shrink)

This fascinating exploration of the great discoveries of history's most important mathematicians seeks an answer to the eternal question: Does mathematics hold the key to understanding the mysteries of the physical world?

This paper examines the view of ethical language that Wittgenstein took in later years. It argues that according to this view, ethics falls into place as a part of our natural history, while every sense of the mystical or supernatural that once surrounded it is irrevocably lost. Moreover, Wittgenstein argues that ethical language does not correspond to reality “in the way” in which a physical theory does. I propose an interpretation of this claim that shows how it sets his view (...) apart from a “realist” theory of ethics. The reality of which he speaks is the reality of human life. (shrink)

Gerald Doppelt claims that Deployment Realism cannot withstand the antirealist objections based on the “pessimistic meta-induction” and Laudan’s historical counterexamples. Moreover it is incomplete, as it purports to explain the predictive success of theories, but overlooks the necessity to explain also their explanatory success. Accordingly, he proposes a new version of realism, presented as the best explanation of both predictive and explanatory success, and committed only to the truth of best current theories, not of the discarded ones. Elsewhere I criticized (...) his new brand of realism. Here instead I argue that Doppelt has not shown that Deployment Realism cannot solve the problems raised by the history of science, explaining explanatory success does not add much to explaining novel predictive success, and Doppelt is right that truth is not a sufficient explanans, but for different reasons, and this does not refute Deployment Realism, but helps to detail it better. In a more explicit formulation, the realist IBE concludes not only to the truth of theories, but also to the reliability of scientists and scientific method, the order and simplicity of nature, and the approximate truth of background theories. (shrink)

Esteban Lythgoe 55 Regímenes no democráticos y democracias menos republicanas Mario Serrafero 65 Precios e Instituciones Políticas en Buenos Aires (1850-1900) Eduardo Martín Cuesta 79.

This article addresses the following problems: What is a mechanism, how can it be discovered, and what is the role of the knowledge of mechanisms in scientific explanation and technological control? The proposed answers are these. A mechanism is one of the processes in a concrete system that makes it what it is — for example, metabolism in cells, interneuronal connections in brains, work in factories and offices, research in laboratories, and litigation in courts of law. Because mechanisms are largely (...) or totally imperceptible, they must be conjectured. Once hypothesized they help explain, because a deep scientific explanation is an answer to a question of the form, "How does it work, that is, what makes it tick—what are its mechanisms?" Thus, by contrast with the subsumption of particulars under a generalization, an explanation proper consists in unveiling some lawful mechanism, as when political stability is explained by either coercion, public opinion manipulation, or democratic participation. Finding mechanisms satisfies not only the yearning for understanding, but also the need for control. Key Words: explanation • function • mechanism • process • system • systemism. (shrink)

ABSTRACTHow are nostalgic memories created? We considered savouring as one process involved in the genesis of nostalgia. Whereas nostalgia refers to an emotional reflection upon past experiences, savouring is a process in which individuals deeply attend to and consciously capture a present experience for subsequent reflection. Thus, having savoured an experience may increase the likelihood that it will later be reflected upon nostalgically. Additionally, to examine how cognitive and emotional processes are linked across time, we tested whether nostalgia for a (...) previously savoured experience predicts optimism for the future. Retrospective reports of having savoured a positive event were associated with greater nostalgia for the event. Retrospective reports of savouring a time period were associated with greater nostalgia for that time period when participants were in a setting that prompted thoughts of the time period. Savouring an experience predicted no... (shrink)

This essay addresses the relationships between prescription and description in legal rules. The analysis will focus on the culture-laden connotations of factual categories implied in all legal sentences and/or provisions. This investigation is spurred by the need to assess the impact of cultural difference in people’s understanding of legal imperatives and, symmetrically, how that impact is to be considered in the application of law. Differences in ways of categorizing the world could position the cultural pre-understanding required by law, and the (...) pluralism recognized and protected by constitutional principles and human/fundamental rights discourse, at a crossroads. Hence, even when we find an illegitimacy or an ignorance about what legal rules do not explicitly state but instead implicitly presuppose, this does not exclude that behind that ignorance there may be something worthy of legal protection. A question emerges: is it legitimate and reasonable to consider the ignorantia facti resulting from differing ways of categorizing the factual world as automatically and uncritically subject to the principle ignoratia legis non excusat? The essay continues with an assessment of the possible consequences of ignorantia facti in the administration of justice in multicultural societies and migration contexts. For this purpose, the opportunity for an intercultural use of law—including within national law—will be considered as a means of avoiding the discriminatory application of ignorantia facti. This topic will be addressed by leveraging both semiotic and cultural-anthropological analytical tools, including the well-known greimasien “contrat de véridiction”. (shrink)

Cómo es posible la historia? -- Giambattista Vico : Una nueva ciencia, la historia (1725) -- Carta de Heidelberg.