According to virtue epistemology, the main aim of education is the development of the cognitive character of students (Pritchard, 2014, 2016). Given the proliferation of technological tools such as ChatGPT and other LLMs for solving cognitive tasks, how should educational practices incorporate the use of such tools without undermining the cognitive character of students? Pritchard (2014, 2016) argues that it is possible to properly solve this ‘technology-education tension’ (TET) by combining the virtue epistemology framework with the theory of extended cognition (...) (EXT) (Clark and Chalmers, 1998). He argues that EXT enables us to consider tools as constitutive parts of the students’ cognitive system, thus preserving their cognitive character from technologically induced cognitive diminishment. The first aim of this paper is to show that this solution is not sufficient to solve the TET. Second, I aim to offer a complementary and more encompassing framework of tool-use to address the TET. Then, I apply it to the educational uses of ChatGPT as the most notable example of LLM, although my arguments can be extended to other generative AI systems. To do so, in Sect. 1.1, I present Pritchard’s framework of cognitive character and virtue epistemology applied in education, to which I am committed in this treatment. In Sects. 2 and 3, I respectively illustrate Pritchard’s (2014) solution to the TET, and I highlight the general limitations of his proposal. Thus, in Sect. 4.1 I characterize ChatGPT as a computational cognitive artifact using Fasoli’s (2017, 2018) taxonomy of cognitive artifacts. In Sect. 4.2, I introduce my proposal, which combines Pritchard’s account of virtue epistemology with Fasoli’s (2017, 2018) taxonomy of cognitive artifacts to address the TET. Finally, in Sect. 5.1, I present some epistemically virtuous uses of ChatGPT in educational contexts. To conclude, I argue in favor of a multidisciplinary approach for analyzing educational activities involving AI technologies such as ChatGPT. (shrink)

Given the metaphysical and explanatory stalemate between Embedded and Extended cognition, different authors proposed moral arguments to overcome such a deadlock in favor of EXT. Farina and Lavazza attribute to EXT and EMB a substantive moral content, arguing in favor of the former by virtue of its progressiveness and inclusiveness. In this treatment, I criticize four of their moral arguments. In Sect. 2, I focus on the argument from legitimate interventions and on the argument from extended agency. Section 3 concerns (...) the argument from better protection and the argument from better treatment. Sections 4 and 5 are dedicated to counterarguments against each respectively. By distinguishing between EXT and the extended view, I argue that it is sufficient to use this second version for directly addressing and evaluating moral problems on normative grounds, independently of the causal or constitutive cognitive influence of the external resource on the agents’ minds. Moreover, I argue that the arguments and assumptions used by EXT theorists do not foster values of progressiveness and inclusiveness. To conclude, in Sect. 6, I show that the analysis of each argument converges on the conclusion that EXT does not have substantive moral content and implications per se, since they always depend on further assumptions. (shrink)

The 1927 Solvay conference was perhaps the most important meeting in the history of quantum theory. Contrary to popular belief, the interpretation of quantum theory was not settled at this conference, and no consensus was reached. Instead, a range of sharply conflicting views were presented and extensively discussed, including de Broglie's pilot-wave theory, Born and Heisenberg's quantum mechanics, and Schrödinger's wave mechanics. Today, there is no longer an established or dominant interpretation of quantum theory, so it is important to re-evaluate (...) the historical sources and keep the interpretation debate open. This book contains a complete translation of the original proceedings, with background essays on the three main interpretations of quantum theory presented at the conference, and an extensive analysis of the lectures and discussions in the light of current research in the foundations of quantum theory. The proceedings contain much unexpected material, including extensive discussions of de Broglie's pilot-wave theory (which de Broglie presented for a many-body system), and a theory of 'quantum mechanics' apparently lacking in wave function collapse or fundamental time evolution. This book will be of interest to graduate students and researchers in physics and in the history and philosophy of quantum theory. (shrink)

Given the explanatory stalemate between ‘embedded’ (EMB) and ‘extended’ (EXT) cognition, various authors have proposed normative and moral arguments in favour of EXT. According to what we call the “extended cognition moral narrative” (EXT-MN) (Cassinadri, 2022), we should embrace EXT and dismiss EMB, because the former leads to morally preferable consequences with respect to the latter. In this article we argue that two arguments following the EXT moral narrative are flawed. In Sect. 2.1 and 2.2, we present respectively King (2016) (...) and Vold’s (2018) ‘argument from assessment of capacities’ (AAC) and Clowes (2013), Farina and Lavazza’s (2022a) ‘cognitive diminishment argument’ (CDA). The AAC states that we should embrace EXT over EMB since the former is better at attributing cognitive credit to individuals with learning disabilities who use assistive tools to complete their learning tasks, thus avoiding their marginalisation. The CDA states that EMB implies a morally undesirable picture of the agent in terms of cognitive diminishment. In Sect. 3, we clarify and criticise the underlying assumptions of the AAC and CDA: the “cognitive credit assumption”, the “marginalisation assumption” and, more generally, an ableist conception of disabled agency. In Sect. 3.1, we discuss the role of moto-perceptual skills and metacognitive credit involved in complex cases of tool-use, to demonstrate that the EXT-MN is uninformative in addressing these cases. To conclude, in Sect. 4 we argue that AAC and CDA fail to present EXT as descriptively and normatively superior to EMB. (shrink)

Interference phenomena are a well-known and crucial feature of quantum mechanics, the two-slit experiment providing a standard example. There are situations, however, in which interference effects are (artificially or spontaneously) suppressed. We shall need to make precise what this means, but the theory of decoherence is the study of (spontaneous) interactions between a system and its environment that lead to such suppression of interference. This study includes detailed modelling of system-environment interactions, derivation of equations (‘master equations’) for the (reduced) state (...) of the system, discussion of time-scales etc. A discussion of the concept of suppression of interference and a simplified survey of the theory is given in Section 2, emphasising features that will be relevant to the following discussion (and restricted to standard non-relativistic particle quantum mechanics.[1] A partially overlapping field is that of decoherent histories, which proceeds from an abstract definition of loss of interference, but which we shall not be considering in any detail. (shrink)

This paper studies proof systems for the logics of super-strict implication ST2–ST5, which correspond to C.I. Lewis’ systems S2–S5 freed of paradoxes of strict implication. First, Hilbert-style axiomatic systems are introduced and shown to be sound and complete by simulating STn in Sn and backsimulating Sn in STn, respectively(for n=2,...,5). Next, G3-style labelled sequent calculi are investigated. It is shown that these calculi have the good structural properties that are distinctive of G3-style calculi, that they are sound and complete, and (...) it is shown that the proof search for G3. ST2 is terminating and therefore the logic is decidable. (shrink)

Los fetos, los animales, los cristos malapartianos y pasolinianos nos recuerdan, por encima de todo, que la diagnosis del final de Europa y de su cultura dos veces milenaria comienza con el eclipse del llanto, con la desaparición de la piedad. Porque, a fin de cuentas, de las lágrimas de Aquiles sobre la cabeza canosa de Príamo nació todo. Pasolini y Malaparte sienten intensamente este colapso de la civilización y responden de maneras sorprendentemente afines. Esta contribución inicia una verificación sobre (...) la relación entre los dos escritores más heterodoxos del Novecientos italiano. (shrink)

An outstanding problem in so-called modal interpretations of quantum mechanics has been the specification of a dynamics for the properties introduced in such interpretations. We develop a general framework (in the context of the theory of stochastic processes) for specifying a dynamics for interpretations in this class, focusing on the modal interpretation by Vermaas and Dieks. This framework admits many empirically equivalent dynamics. We give some examples, and discuss some of the properties of one of them. This approach is applicable (...) to a wider class of theories, in particular, those using (discrete) strict effective—as in decoherence theory—superselection rules. (shrink)

The philosophical debate about quantum logic between the late 1960s and the early 1980s was generated mainly by Putnam's claims that quantum mechanics empirically motivates introducing a new form of logic, that such an empirically founded quantum logic is the `true' logic, and that adopting quantum logic would resolve all the paradoxes of quantum mechanics. Most of that debate focussed on the latter claim, reaching the conclusion that it was mistaken. This chapter will attempt to clarify the possible misunderstandings surrounding (...) the more radical claims about the revision of logic, assessing them in particular both in the context of more general quantum-like theories (in the framework of von Neumann algebras), and against the background of the current state of play in the philosophy and interpretation of quantum mechanics. Characteristically, the conclusions that might be drawn depend crucially on which of the currently proposed solutions to the measurement problem is adopted. (shrink)

The aim of the article is to outline several valuable elements of Mead’s pragmatist theory of perception in action developed in his The Philosophy of the Act, in order to strengthen the pragmatist legacy of the enactivist approach. In particular, Mead’s theory of perception in action turns out to be a forerunner of sensorimotor enactivist theory. Unlike the latter, however, Mead explicitly refers to imagery as an essential capacity for agency. Nonetheless, the article argues that the ways in which Mead (...) refers to this capacity do not necessarily place it in opposition to enactivist non-representationalism. On the contrary, as a synthetic process of re-presenting of present and past sensorimotor elements, imagery can be seen as the hallmark of a pragmatically inspired sensorimotor enactivist approach that bypasses the opposition between representationalists and non-representationalists. (shrink)

We determine the computational complexity of the Hahn-Banach Extension Theorem. To do so, we investigate some basic connections between reverse mathematics and computable analysis. In particular, we use Weak König's Lemma within the framework of computable analysis to classify incomputable functions of low complexity. By defining the multivalued function Sep and a natural notion of reducibility for multivalued functions, we obtain a computational counterpart of the subsystem of second-order arithmetic WKL0. We study analogies and differences between WKL0 and the class (...) of Sep-computable multivalued functions. Extending work of Brattka, we show that a natural multivalued function associated with the Hahn-Banach Extension Theorem is Sep-complete. (shrink)

Nelson’s programme for a stochastic mechanics aims to derive the wave function and the Schroedinger equation from natural conditions on a diffusion process in configuration space. If successful, this pro- gramme might have some advantages over the better-known determin- istic pilot-wave theory of de Broglie and Bohm. The essential points of Nelson’s strategy are reviewed, with particular emphasis on concep- tual issues relating to the role of time symmetry. The main problem in Nelson’s approach is the lack of strict equivalence (...) between the cou- pled Madelung equations and the Schroedinger equation. After a brief discussion, the paper concludes with a possible suggestion for trying to overcome this problem. (shrink)

Interpretations that follow Everett's idea that the universal wave function contains a multiplicity of coexisting realities, usually claim to give a completely local account of quantum mechanics. That is, they claim to give an account that avoids both a non-local collapse of the wave function, and the action at a distance needed in hidden variable theories in order to reproduce the quantum mechanical violation of the Bell inequalities. In this paper, I sketch how these claims can be substantiated in two (...) renderings of Everett's ideas, namely the many-minds interpretation of Albert and Loewer, and versions of many-worlds interpretations that rely on the concepts of the theory of decoherence. (shrink)

The problematic issues connected to post-truth communication emerged in all their social relevance after the victory of Brexit and Donald Trump in 2016. Fake news, echo chambers, filter bubbles, and a crisis of experts are some of the phenomena of this epoch of digital revolution that everyone is forced to deal with on daily basis. Public media echoed the plea for a return to a connection between reality, truth, and communication that has been advocated for by philosophy and communication studies (...) since the beginning of the century. However, the strategy for effecting this return is not clear. The paper presents two of the most common strategies employed by practitioners of communication in the newsrooms: reliance on a new form of positivism and the necessity of inculcating critical media literacy into the general population. Concluding that both proposals are inadequate, the paper proposes a rich, relational realism stemming from Peirce’s semiotic and metaphysical studies. (shrink)

I investigate the character of the definite properties defined by the Basic Rule in the Vermaas and Dieks' (1995) version of the modal interpretation of quantum mechanics, specifically for the case of the continuous model of decoherence by Joos and Zeh (1985). While this model suggests that the characteristic length that might be associated with the localisation of an individual system is the coherence length of the state (which converges rapidly to the thermal de Broglie wavelength), I show in an (...) exactly soluble case that the definite properties that are possessed with overwhelming probability in this modal interpretation are delocalized over the entire spread of the state. (shrink)

This paper studies proof systems for the logics of super-strict implication \(\textsf{ST2}\) – \(\textsf{ST5}\), which correspond to C.I. Lewis’ systems \(\textsf{S2}\) – \(\textsf{S5}\) freed of paradoxes of strict implication. First, Hilbert-style axiomatic systems are introduced and shown to be sound and complete by simulating \(\textsf{STn}\) in \(\textsf{Sn}\) and backsimulating \(\textsf{Sn}\) in \(\textsf{STn}\), respectively (for \({\textsf{n}} =2, \ldots, 5\) ). Next, \(\textsf{G3}\) -style labelled sequent calculi are investigated. It is shown that these calculi have the good structural properties that are distinctive (...) of \(\textsf{G3}\) -style calculi, that they are sound and complete, and it is shown that the proof search for \(\mathsf {G3.ST2}\) is terminating and therefore the logic is decidable. (shrink)

This paper comments on a paper by Chris Fuchs. Both papers are to appear in "New Directions in the Philosophy of Science", eds. M. C. Galavotti, S. Hartmann, M. Weber, W. Gonzalez, D. Dieks and T. Uebel. This paper presents some mild criticisms of Fuchs's views, some based on the EPR and Wigner's friend scenarios, and some based on the quantum theory of measurement. A few alternative suggestions for implementing a subjectivist interpretation of probability in quantum mechanics conclude the paper.

In this paper, we discuss various aspects of Heisenberg’s thought on hidden variables in the period 1927–1935. We also compare Heisenberg’s approach to others current at the time, specifically that embodied by von Neumann’s impossibility proof, but also views expressed mainly in correspondence by Pauli and by Schroedinger. We shall base ourselves mostly on published and unpublished materials that are known but little-studied, among others Heisenberg’s own draft response to the EPR paper. Our aim will be not only to clarify (...) Heisenberg’s thought on the hidden-variables question, but in part also to clarify how this question was understood more generally at the time. (shrink)

This article focuses on two of the main problems raising interpretational issues in quantum mechanics, namely the notorious measurement problem and the equally important but not quite as widely discussed problem of the classical regime. The two problems are distinct, but they are both intimately related to some of the issues arising from entanglement and density operators. The article aims to be fairly non-technical in language, but modern in outlook and covering the chosen topics in more depth than most introductory (...) treatments. (shrink)

Francis Bacon’s elusive notion of experience can be better understood when we relate it to his views on matter, motion, appetite and intellect, and bring to the fore its broader philosophical implications. Bacon’s theory of knowledge is embedded in a programme of disciplinary redefinition, outlined in the Advancement of Learning and De augmentis scientiarum. Among all disciplines, prima philosophia plays a key foundational role, based on the idea of both a physical parallelism between the human intellect and nature and a (...) theological parallelism between nature and God. Failure to assess Bacon’s distinctive position concerning the way in which the mind mirrors both the natural and the divine world, that is to say, the meaning of “reality,” has resulted in notoriously jejune discussions on Baconian empiricism, monotonously driven by epistemological concerns. As a result, the standard view on Bacon’s empiricism is as epistemologically comforting as it is imaginary, an “idol” in a genuinely Baconian sense. In this article, Bacon’s notion of experience will be discussed by examining those steps that he considered to be the crucial initial stages in the formation of human experience, stages described as a process of experiential literacy or, in emblematic terms, as a hunting expedition led by the mythological figure of Pan. I argue that a well-rounded analysis of Bacon’s experientia literata needs to take into account the complementary notion of the “spelling-book of nature”, that is, the original code of the primordial motions of matter. By getting acquainted with the first rudiments of experience through its spelling-book, one learns to read the book of nature and, most of all, to write new pages in it. (shrink)

In realistic situations where a macroscopic system interacts with an external environment, decoherence of the quantum state, as derived in the decoherence approach, is only approximate. We argue that this can still give rise to facts, provided that during the decoherence process states that are, respectively, always close to eigenvectors of pointer position and record observable are correlated. We show in a model that this is always the case.

The Heisenberg microscope and its analysis by Weizsäcker are used by Grete Hermann in her 1935 essay on the foundations of quantum mechanics to argue her claims about causality in quantum mechanics. In this chapter, I wish to draw a comparison between Hermann’s use of the Heisenberg microscope and another famous use of a very similar thought experiment : Bohr’s analysis of the suspended single slit in his reply to EPR. I shall argue that Hermann’s use of different aspects of (...) the classical pictures in the treatment of the Heisenberg microscope makes her treatment closer to Bohr’s discussion of the suspended slit than to Heisenberg’s own treatment of the microscope. This suggests that Hermann, who equally gave an extensive analysis of complementarity in her 1935 essay, may be an especially acute interpreter of Bohr’s views. I conclude by looking at Hermann’s approach in the context of more general examples of measurement and at possible limitations of the approach. (shrink)

We investigate Turing's contributions to computability theory for real numbers and real functions presented in [22, 24, 26]. In particular, it is shown how two fundamental approaches to computable analysis, the so-called ‘Type-2 Theory of Effectivity' (TTE) and the ‘realRAM machine' model, have their foundations in Turing's work, in spite of the two incompatible notions of computability they involve. It is also shown, by contrast, how the modern conceptual tools provided by these two paradigms allow a systematic interpretation of Turing's (...) pioneering work in the subject. (shrink)

This paper relates both to the metaphysics of probability and to the physics of time asymmetry. Using the formalism of decoherent histories, it investigates whether intuitions about intrinsic time directedness that are often associated with probability can be justified in the context of no-collapse approaches to quantum mechanics. The standard approach to time symmetry in the decoherent histories literature is criticised, and an alternative approach is proposed, based on two decoherence conditions within the one-vector formalism. In turn, considerations of forwards (...) and backwards decoherence and of decoherence and recoherence suggest that a time-directed interpretation of probabilities, if adopted, should be both contingent and perspectival. (shrink)

I discuss the interpretation of spontaneous collapse theories, with particular reference to Bell's suggestion that the stochastic jumps in the evolution of the wave function should be considered as local beables of the theory. I develop this analogy in some detail for the case of non-relativistic GRW-type theories, using a generalisation of Bell's notion of beables to POV measures. In the context of CSL-type theories, this strategy appears to fail, and I discuss instead Ghirardi and co-workers' mass-density interpretation and its (...) relation to Schrödinger's original charge-density interpretation. This discussion is extended to relativistic CSL-type theories. A few remarks on Everett's interpretation conclude the paper. (shrink)

Definitions of time symmetry and examples of time-directed behaviour are discussed in the framework of discrete Markov processes. It is argued that typical examples of time-directed behaviour can be described using time-symmetric transition probabilities. Some current arguments in favour of a distinction between past and future on the basis of probabilistic considerations are thereby judged to be unjustified.

In 1935, Einstein, Podolsky and Rosen famously published a paper arguing for the incompleteness of quantum mechanics, using the example of two spatially separated but entangled particles. In his almost equally famous reply, Niels Bohr argued against EPR by providing a careful analysis of quantum measurements from the point of view of complementarity. Perhaps oddly, this analysis focuses on the example of a *single* particle passing through a slit. In this paper I argue that the disanalogy between the two examples (...) is only apparent, and does not constitute an obstacle in trying to understand Bohr's views on complementarity. (shrink)

An important feature of some recent jurisprudential writings is the tendency to reject the precept of liberal individualism which affirms the priority of the principles of the "right conduct" over the substantive conceptions of "the good". This rejection, explicit in a recent book by Rogers M. Smith, and implicit in a recent work by Guido Calabresi, leads to strikingly illiberal consequences; hence, this provides indirect confirmation that the priority of the right over the good constitutes the most reliable defense (...) of individual liberty against majoritarian oppression. In Smith, an attempt to replace this priority with the principle of "rational liberty" leads to the disappearance of the guarantees of minority rights against orthodox majorities; in Calabresi, the doctrine of weighing and balancing competing moral principles of "the good" fails to provide an explanation for the strongly held moral intuition that some external preferences have to be disqualified at the outset, before they enter the forum of moral bargaining. (shrink)

The symmetries of the wavefunction for identical particles, including anyons, are given a rigorous non-relativistic generalisation within pilot-wave formulations of quantum mechanics. In particular, parastatistics are excluded. The result has a rigorous generalisation to _n_ particles and to spinorial wavefunctions. The relation to other non-relativistic approaches is briefly discussed.

This research examines wearable, fashionable interaction design to mediate the narrative and semiotic concepts found in technology and fashion. We discuss the principles of design anthropology using Taiwan proverbs to transmit the “people-situation-reason-object” method and analyze five case studies that provide new approaches for designers engaged in future industry. Design anthropology attempts to engage physiological and psychological design through technological function, meaning formation, and fashion aesthetics to achieve cognition between people and the environment. The wearable, fashionable interaction displays characteristics of (...) narrative and semantics transmitted through craft culture as well as collective, cheerful, and creative performance. It is a confident and innovative attempt, which bears a joyful and fundamental interface. This study takes two directions, with cultural thinking serving as the basis to establish a set of traditional craft designs and interactive objects that assist designers in using the senses to inform and initiate new lifestyle values. (shrink)

This research examines wearable, fashionable interaction design to mediate the narrative and semiotic concepts found in technology and fashion. We discuss the principles of design anthropology using Taiwan proverbs to transmit the “people-situation-reason-object” method and analyze five case studies that provide new approaches for designers engaged in future industry. Design anthropology attempts to engage physiological and psychological design through technological function, meaning formation, and fashion aesthetics to achieve cognition between people and the environment. The wearable, fashionable interaction displays characteristics of (...) narrative and semantics transmitted through craft culture as well as collective, cheerful, and creative performance. It is a confident and innovative attempt, which bears a joyful and fundamental interface. This study takes two directions, with cultural thinking serving as the basis to establish a set of traditional craft designs and interactive objects that assist designers in using the senses to inform and initiate new lifestyle values. (shrink)

In the collection of poems entitled Psychodia Platonica, and in particular in the poem entitled Psychozoia, Henry More laid the groundwork for his life-long inquiry into the nature of the human self. He provided a poetic commentary of Plotinus’s Enneads in which three ontological dimensions – the life of nature, animal perception and the intellect – created an allegorical background against which one could articulate a systematic analysis of the individual human self in its relationships with God and created reality. (...) Psychozoia ended with a conversion, in which the soul of a Platonic pilgrim was released from its condition of ‘autaesthesia’ so that it was finally able to reach a state of ‘anautoaesthesia’. Significantly, More characterized this crucial shift from self-perception to the annihilation of the individual self as a motion towards ‘self-senslessnesse’ and ‘self-deadnesse’. Regardless of its aesthetic merits, More’s poem dramatizes key philosophical notions, while bringing to the fore the prodigious effervescence of his linguistic skills. In this sense, Psychozoia remains an important document to understand the evolution of More’s thought. (shrink)

In a recent paper, I have analysed and criticised Leggett and Garg’s argument to the effect that macroscopic realism contradicts quantum mechanics, by contrasting their assumptions to the example of Bell’s stochastic pilot-wave theories, and have applied Dzhafarov and Kujala’s analysis of contextuality in the presence of signalling to the case of the Leggett–Garg inequalities. In this chapter, I discuss more in general the motivations for macroscopic realism, taking a cue from Einstein’s criticism of the Bohm theory, then go on (...) to summarise my previous results, with a few additional comments on other recent work on Leggett and Garg. [To appear in: E. Dzhafarov, Contextuality from Quantum Physics to Psychology.]. (shrink)

ABSTRACTThe paper compares Mead’s and Quine’s behaviouristic theories of meaning and language, focusing in particular on Mead’s notion of sympathy and Quine’s notion of empathy. On the one hand, Quine seems to resort to an explanation similar to Mead’s notion of sympathy, referring to ‘empathy’ in order to justify the human ability to project ourselves into the witness’s position; on the other hand, Quine’s reference to the notion of empathy paves the way to a more insightful comparison between Mead’s behaviourism (...) and an explanation of the emergence of the linguistic from pre-linguistic communication based on empathic identification processes. However, Mead is less ambiguous than Quine in his use of the notion of sympathy finds a fecund parallel in the current neuroscientific and neuro-phenomenological hypothesis on ‘empathy’. The article contends that the ambiguity in Quine’s account of empathy is due to the exigency of trying to elucidate the link between the rules of language in a cultural context and... (shrink)

This paper relates both to the metaphysics of probability and to the physics of time asymmetry. Using the formalism of decoherent histories, it investigates whether intuitions about intrinsic time directedness that are often associated with probability can be justified in the context of no-collapse approaches to quantum mechanics. The standard approach to time symmetry in the decoherent histories literature is criticised, and an alternative approach is proposed, based on two decoherence conditions within the one-vector formalism. In turn, considerations of forwards (...) and backwards decoherence and of decoherence and recoherence suggest that a time-directed interpretation of probabilities, if adopted, should be both contingent and perspectival. (shrink)

Um mistério revelado, entre magia, alquimia e filosofia.

IL MOSTRO E L'EROE. Quando Pomponio Algieri da Nola, all’età di soli 24 anni, viene bruciato vivo a Roma in piazza Navona, Giordano Bruno di anni ne ha appena otto. Oltre che per la giovane età del condannato, l’esecuzione è insolita anche per il luogo e il metodo scelto dall’Inquisizione: anziché le solite fascine, per alimentare il fuoco viene approntato un pentolone di pece, olio e trementina, nel quale viene immersa la povera vittima.

The celebrated Dreimännerarbeit by Born, Heisenberg and Jordan contains a matrix-mechanical derivation by Jordan of Planck’s formula for blackbody fluctuations. Jordan appears to have considered this to be one of his finest contributions to quantum theory, but the status of his derivation is puzzling. In our Dreimenschenarbeit, we show how to understand what Jordan was doing in the double context of a Boltzmannian approach to statistical mechanics and of the early ‘statistical interpretation’ of matrix mechanics.

Il fascino di un libro, tra Reuchlin e Bruno. -/- RINASCIMENTO ESOTERICO Speciale V centenario De arte cabalistica (1517-2017) -/- Nella sua rinomata libreria antiquaria, nel cuore di Firenze, Paolo Pampaloni sta sfogliando un grazioso volumetto in ottavo, rilegato in pelle scura. Si tratta di un esemplare del De incertitudine et vanitate scientiarum di Heinrich Cornelius Agrippa von Nettesheim.