This book examines the different areas of knowledge, traditions, and conceptual resources that contributed to the building of Max Planck's theory of radiation. It presents an insightful comparative analysis that not only sheds light upon a fundamental chapter in the history of modern physics, but also enlarges our understanding of how theoreticians work. Coverage offers a deep investigation into the technical aspects behind the theory and extends in time the notion of quantum revolution. It also presents a full-fledged discussion of (...) the combinatorial part of Planck's theory and places emphasis on the epistemological role of mathematical practices. By painstakingly reconstructing both the electromagnetic and the combinatorial part of Planck's black-body theory, the author shows how some apparently merely technical resources, such as the Fourier series, effectively contributed to shape the final form of Planck's theory. For decades, historians have debated the conditions of possibility of Max Planck's discovery as a paradigmatic example of scientific revolution. In particular, the use of combinatorics, which eventually paved the way for the introduction of the quantum hypothesis, has remained a puzzle for experts. This book presents a fresh perspective on this important debate that will appeal to historians and philosophers of science. (shrink)

It is often claimed that epistemic bubbles and echo chambers foster post-truth by filtering our access to information and manipulating our epistemic attitude. In this paper, I try to add a further level of analysis by adding the issue of belief formation. Building on cognitive psychology work, I argue for a dual-system theory according to which beliefs derive from a default system and a critical system. One produces beliefs in a quasi-automatic, effortless way, the other in a slow, effortful way. (...) I also argue that digital socio-epistemic environments tend to inculcate disvalues in their agent's epistemic identity, a process that causes the cognitive shortcircuits typical of conspiracy theories. (shrink)

An intricate, long, and occasionally heated debate surrounds Boltzmann’s H-theorem (1872) and his combinatorial interpretation of the second law (1877). After almost a century of devoted and knowledgeable scholarship, there is still no agreement as to whether Boltzmann changed his view of the second law after Loschmidt’s 1876 reversibility argument or whether he had already been holding a probabilistic conception for some years at that point. In this paper, I argue that there was no abrupt statistical turn. In the first (...) part, I discuss the development of Boltzmann’s research from 1868 to the formulation of the H-theorem. This reconstruction shows that Boltzmann adopted a pluralistic strategy based on the interplay between a kinetic and a combinatorial approach. Moreover, it shows that the extensive use of asymptotic conditions allowed Boltzmann to bracket the problem of exceptions. In the second part I suggest that both Loschmidt’s challenge and Boltzmann’s response to it did not concern the H-theorem. The close relation between the theorem and the reversibility argument is a consequence of later investigations on the subject. (shrink)

Once one of the main protagonists of history of science, the historiography on quantum theory has recently gone through a process of reconfiguration of methods, research questions and epistemological framework. In this paper, I review the recent developments and propose some reflections on its future evolution.

The foundation of statistical mechanics and the explanation of the success of its methods rest on the fact that the theoretical values of physical quantities (phase averages) may be compared with the results of experimental measurements (infinite time averages). In the 1930s, this problem, called the ergodic problem, was dealt with by ergodic theory that tried to resolve the problem by making reference above all to considerations of a dynamic nature. In the present paper, this solution will be analyzed first, (...) highlighting the fact that its very general nature does not duly consider the specificities of the systems of statistical mechanics. Second, Khinchin’s approach will be presented, that starting with more specific assumptions about the nature of systems, achieves an asymptotic version of the result obtained with ergodic theory. Third, the statistical meaning of Khinchin’s approach will be analyzed and a comparison between this and the point of view of ergodic theory is proposed. It will be demonstrated that the difference consists principally of two different perspectives on the ergodic problem: that of ergodic theory puts the state of equilibrium at the center, while Khinchin’s attempts to generalize the result to non-equilibrium states. (shrink)

The Kolmogorov-Sinai entropy is a fairly exotic mathematical concept which has recently aroused some interest on the philosophers’ part. The most salient trait of this concept is its working as a junction between such diverse ambits as statistical mechanics, information theory and algorithm theory. In this paper I argue that, in order to understand this very special feature of the Kolmogorov-Sinai entropy, is essential to reconstruct its genealogy. Somewhat surprisingly, this story takes us as far back as the beginning of (...) celestial mechanics and through some of the most exciting developments of mathematical physics of the 19th century. (shrink)

The recent use of typicality in statistical mechanics for foundational purposes has stirred an important debate involving both philosophers and physicists. While this debate customarily focuses on technical issues, in this paper I try to approach the problem from an epistemological angle. The discussion is driven by two questions: (1) What does typicality add to the concept of measure? (2) What kind of explanation, if any, does typicality yield? By distinguishing the notions of `typicality-as-vast-majority' and `typicality-as-best-exemplar', I argue that the (...) former goes beyond the concept of measure. Furthermore, I also argue that typicality aims at providing us with a form of causal explanation of equilibrium. (shrink)

Most philosophical accounts on scientific theories are affected by three dogmas or ingrained attitudes. These dogmas have led philosophers to choose between analyzing the internal structure of theories or their historical evolution. In this paper, I turn these three dogmas upside down. I argue (i) that mathematical practices are not epistemically neutral, (ii) that the morphology of theories can be very complex, and (iii) that one should view theoretical knowledge as the combination of internal factors and their intrinsic historicity.

The aim of this paper is not only to deal with the concept of infinity, but also to develop some considerations about the epistemological status of cosmology. These problems are connected because from an epistemological point of view, cosmology, meant as the study of the universe as a whole, is not merely a physical (or empirical) science. On the contrary it has an unavoidable metaphysical character which can be found in questions like “why is there this universe (or a universe (...) at all)?”. As a consequence, questions concerning the infinity of the universe in space and time can correctly arise only taking into account this metaphysical character of cosmology. Accordingly, in the following paper it will be shown that two different concepts of physical infinity of the universe (the relativistic one and the inflationary one) rely on two different ways of solution of a metaphysical problem. The difference between these concepts cannot be analysed using the classical distinctions between actual/potential infinity or numerable/continuum infinity, but the introduction of a new “modal” distinction will be necessary. Finally, it will be illustrated the role of a philosophical concept of infinity of the universe. (shrink)

When at the end of the 1900s Planck introduced the constant h into the black-body radiation law together with constant k, he provided no explanation of either its meaning or why it had that particular value. He simply introduced it. In reality the history of the constant was far from straightforward. Planck was confident enough to introduce it like this because he had been working on the question for over a year. In this paper we reconstruct the process that began (...) with the first two constants (c' and C. (shrink)

Boltzmann’s equilibrium theory has not received by the scholars the attention it deserves. It was always interpreted as a mere generalization of Maxwell’s work or, in the most favorable case, a sketch of some ideas more consistently developed in the 1872 memoir. In this paper, I try to prove that this view is ungenerous. My claim is that in the theory developed during the period 1866-1871 the generalization of Maxwell’s distribution was mainly a mean to get a more general scope: (...) a theory of the equilibrium of a system of mechanical points from a general point of view. To face this issue Boltzmann analyzed and discussed probabilistic assumptions so that his equilibrium theory cannot be considered a purely mechanical theory. I claim also that the special perspective adopted by Boltzmann and his view about probabilistic requirements played a role in the transition to the non equilibrium theory of 1872. (shrink)

There are two basic approaches to the problem of induction:the empirical one, which deems that the possibility of induction depends on how theworld was made (and how it works) and the logical one, which considers the formation(and function) of language. The first is closer to being useful for induction, whilethe second is more rigorous and clearer. The purpose of this paper is to create an empiricalapproach to induction that contains the same formal exactitude as the logical approach.This requires: (a) that (...) the empirical conditions for the induction are enunciatedand (b) that the most important results already obtained from inductive logic are againdemonstrated to be valid. Here we will be dealing only with induction by elimination,namely the analysis of the experimental confutation of a theory. The result will bea rule of refutation that takes into consideration all of the empirical aspect of theexperiment and has each of the asymptotic properties which inductive logic has shown tobe characteristic of induction. (shrink)

Selective realism is the thesis that some wisely chosen theoretical posits are essential to science and can therefore be considered as true or approximately true. How to choose them wisely, however, is a matter of fierce contention. Generally speaking, we should favor posits that are effectively deployed in successful prediction. In this paper I propose a refinement of the notion of deployment and I argue that selective realism can be extended to include the analysis of how theoretical posits are actually (...) deployed in symbolic practices. (shrink)

Ever since Thomas Kuhn's influential The Structure of Scientific Revolutions (1962), textbooks have suffered a bad reputation. They have been accused of distorting—at times purportedly—history and of feeding students with an unacceptably simplified and optimistic view of science. This attitude started to change only in recent times. With the increase of attention paid not only to how theories are conceived, but also how they are practiced, disseminated, and appropriated, historians have rehabilitated textbooks as a legitimate site of knowledge production. In (...) this paper, I adopt textbooks as an instrument to unfold multiple facets of the culture that allowed quantum physics to flourish between 1900 and the early 1930s. I organize the article around two stories about two major textbooks, i.e., Sommerfeld′s Atombau und Spektrallinien and Dirac′s Principles of Quantum Mechanics. I explore the complex pedagogical cultures underlying these two masterpieces and how they intersect local agendas. (shrink)

This paper analyzes the epistemological significance of the problem of induction. In the first section, the foundation of this problem is identified in the thesis of gnoseological dualism: we only know our representations as separate from ‘the world itself’. This thesis will be countered by the thesis of gnoseological monism. In the second section, the implications of Hume’s skeptical thesis will be highlighted and it will be demonstrated how the point of view of gnoseological monism can offer a way out (...) that I call the hermeneutic theory of induction. In the third section, a formal approach is proposed in agreement with this theory. Using tools of the theory of information, this defines the conditions of acceptance or refusal of a hypothesis starting with an experiment. In the fourth section, the epistemological consequences of this approach are analyzed. (shrink)

What it means for conspiracy theories to become mainstream In debates about conspiracy theories, it is often claimed that conspiracy thinking is on the rise or has even become mainstream. In this article, I want to explore this claim conceptually, and argue that there are at least three ways to interpret the claim that ‘conspiracy thinking has become mainstream’. First, there is the individual level, where it is a matter of counting heads. Mainstream then means that the majority believes in (...) conspiracy theories. But there are two other levels. There is the institutional level, which is about whether conspiracy theories circulate within social institutions in an acceptable way. Is it acceptable to express conspiracy theories as a politician, scientist or journalist? Mainstream here means that dominant institutions in society view conspiracy thinking as an acceptable form of communication. Finally, there is the cultural level. Here the question is whether conspiracy thinking is a culturally acceptable way of speaking and thinking about society. Is it socially accepted as normal behavior, or is it rather a form of deviant behavior, accompanied by (informal) sanctions or demands for additional justification or proof? Mainstream here means that conspiracy thinking is seen as a normal way of speaking, without being accompanied by strange looks, shunning or the need to justify oneself as a conspiracy thinker. By making this distinction, we can think more clearly about whether conspiracy thinking is actually on the rise, and how we should deal with it. (shrink)

This article intends to summarise the content of my book Insurgent Universality: An Alternative Legacy of Modernity and expand the meaning of the term ‘universality’. Universality is not defined in abstract legal terms or by juxtaposition vis-à-vis a common enemy. Instead, I clarify the meaning of a more concrete and open practice of universality through historical examples and theories that I excavate from social practices.

Commonsense ontology often conflicts with the ontology of our best scientific and philosophical theories. However, commonsense ontology, and commonsense belief systems in general, seems to be remarkably efficient and cognitively fundamental. In cases of contrast, it is better to find a way to reconcile commonsense and ”theoretical” ontologies. Given that commonsense ontologies are typically expressed within natural language, a classical procedure of reconciliation is semantical. The strategy is that of individuating the ”ontologically problematic” expressions of natural language and paraphrasing the (...) sentences in which they appear in a (formal) language whose commitments are compatible with those of our best theories. We believe that this strategy of reconciliation, though quite standard, especially in the philosophical literature, is problematic: for a start, it forces us to conclude that the ”real content” of our commonsense expressions and beliefs is different from what it appears. Commonsense ontology becomes just an illusion. We will thus propose an alternative approach: according to our view, a commonsense ontology is reconciled with a theoretical ontology in case it is shown that the explanation of why we believe in the existence of a problematic entity is compatible with our best theories. We will call this kind of reconciliation ”epistemic”. The advantage of an epistemic reconciliation is that commonsense ontology is treated in its own right and could be taken prima facie. Another advantage of the view is that epistemic reconciliation can be analysed through the notion of explaining away: a commonsense ontology is epistemically reconciled with a theoretical ontology if and only if the problematic entities of the commonsense ontology are explained away by ”respectable” entities of the theoretical ontology. In the final part of the paper, we sketch a formal analysis of explaining away. (shrink)

Avatar, a passionate movie about empathy, features characters who, in various ways, are able to experience the world through the eyes of another or, as the saying goes, to “put themselves into another's shoes”. But, concealed beneath a surface of ecological pantheism, a contradiction lies at the heart of the movie's portrayal of empathy. On the one hand, in ordinary empathy access to another person's mind is mediated by our perception of her unique embodied identity. On the other hand, Avatar (...) introduces us to a seemingly more direct way to connect with the minds of others: tsaheylu – “the bond”. Mirror neurons are one of the most significant scientific discoveries of the last fifteen years. Mirror neurons testify that empathy, as usually experienced by terrestrial creatures like us, is nothing like a direct mental access. (shrink)

Jax Teller, Clay Morrow, and the other members of SAMCRO are first and foremost bikers and mechanics who fix bikes. Many bikers experience riding as therapeutic, since a good ride can help a suffering soul to forget the worries of life. Martin Heidegger argues that practical skills, such as the ones Tig needs to repair bikes, are the most fundamental form of knowledge. Many bike owners don't feel confident when they have to do repairs and finally face the dreaded encounter (...) with the un‐ready‐to‐hand. In Zen and the Art of Motorcycle Maintenance Robert Pirsig notes, that many bike owners are afraid to get their hands dirty with engine oil. Caring for a piece of technology is exactly the opposite of treating it instrumentally. As Pirsig explains, even fixing a mechanical problem can become an occasion of participation, unity, and reconciliation with the world. (shrink)

Reevaluates Western and Chinese philosophical traditions to question the boundaries of entrenched conceptual frameworks.