A critical re-examination of the history of the concepts of space (including spacetime of general relativity and relativistic quantum field theory) reveals a basic ontological elusiveness of spatial extension, while, at the same time, highlighting the fact that its epistemic primacy seems to be unavoidably imposed on us (as stated by A.Einstein “giving up the extensional continuum … is like to breathe in airless space”). On the other hand, Planck’s discovery of the atomization of action leads to the fundamental recognition (...) of an ontology of non-spatial, abstract entities (Quine) for the quantum level of reality (QT), as distinguished from the necessarily spatio-temporal, experimental revelations (measurements). The elementary quantum act (measured by Planck’s constant) has neither duration nor extension, and any genuinely quantum process literally does not belong in the Raum and time of our experience. As Heisenberg stresses: “Während also die klassische Physik ein objectives Geschehen in Raum and Zeit zum Gegenstand hat, für dessen Existenz seine Beobachtung völlig irrelevant war, behandelt die Quantentheorie Vorgänge, die sozusagen nur in den Momenten der Beobachtung als raumzeitliche Phänomene aufleuchten, und über die in der zwischenzeit anschaulische physikalische Aussagen sinloss sind”. An admittedly speculative, hazardous conjecture is then advanced concerning the relation of such quantum ontology with the role of the pre-phenomenal continuum (Husserl) in the perception of macroscopically distinguishable objects in the Raum and time of our experience. Although rather venturesome, it brings together important philosophical issues. Coherently with recent general results in works on the foundations of QT, it is assumed that the linearity of quantum dynamical evolution does not apply to the central nervous system of living beings at a certain level of the evolutionary ramification and at the pre-conscious stage of subjectivity. Accordingly, corresponding to the onset of a non-linear dynamic evolution, a ‘primary spatial’ reduction is ‘continually’ taking place, thereby constituting the neural precondition for the experience of distinguishable macroscopic objects in the continuous spatial extension. While preventing the theoretically possible quantum superpositions of macroscopic objects from being perceivable by living beings, the ‘primary reduction’ has no effect on the standard processes concerning quantum level entities involved in laboratory man-made experiments. In this connection, an experimental check which might falsify the conjecture is briefly discussed. The approach suggested here, if sound, leads to a naturalization of that part of Kant’s Transcendental Aesthetics than can survive the Euclidean catastrophe. According to such naturalized transcendentalism, “space can well be transcendental without the axioms being so”, in agreement with a well-known statement by Boltzman. Finally, as far as QT is concerned, the conjecture entails that a scheme for quantum measurement of the von Neumann type cannot even ‘leave the ground’, vindicating Bohr’s viewpoint. A quantum theory of measurement, in a proper sense, turns out to be unnecessary and in fact impossible. (shrink)

For the past two decades, Einstein's Hole Argument (which deals with the apparent indeterminateness of general relativity due to the general covariance of the field equations) and its resolution in terms of "Leibniz equivalence" (the statement that pseudo-Riemannian geometries related by active diffeomorphisms represent the same physical solution) have been the starting point for a lively philosophical debate on the objectivity of the point-events of space-time. It seems that Leibniz equivalence makes it impossible to consider the points of the space-time (...) manifold as physically individuated without recourse to dynamical individuating fields. Various authors have posited that the metric field itself can be used in this way , but nobody so far has considered the problem of explicitly distilling the "metrical fingerprint" of point-events from the gauge-dependent elements of the metric field. Working in the Hamiltonian formulation of general relativity, and building on the results of Lusanna and Pauri (2002), we show how Bergmann and Komar's "intrinsic pseudo-coordinates" (based on the value of curvature invariants) can be used to provide a physical individuation of point-events in terms of the true degrees of freedom (the "Dirac observables") of the gravitational field, and we suggest how this conceptual individuation could in principle be implemented with a well-defined empirical procedure. We argue from these results that point-events retain a significant kind of physical objectivity. (shrink)

The main aim of our paper is to show that interpretative issues belonging to classical General Relativity (GR) might be preliminary to a deeper understanding of conceptual problems stemming from on-going attempts at constructing a quantum theory of gravity. Among such interpretative issues, we focus on the meaning of general covariance and the related question of the identity of points, by basing our investigation on the Hamiltonian formulation of GR. In particular, we argue that the adoption of a peculiar gauge-fixing (...) within the canonical reduction of ADM metric gravity may yield a new solution to the debate between substantivalists and relationists, by suggesting a \emph{tertium quid} between these two age-old positions. Such a third position enables us to evaluate the controversial relationship between entity realism and structural realism in a well-defined case study. After having indicated the possible developments of this approach in Quantum Gravity, we discuss the structuralist and holistic features of the class of spacetime models that are used in the above mentioned canonical reduction. (shrink)

This paper deals with a number of technical achievements that are instrumental for a dis-solution of the so-called "Hole Argument" in general relativity. Such achievements include: 1) the analysis of the "Hole" phenomenology in strict connection with the Hamiltonian treatment of the initial value problem. The work is carried through in metric gravity for the class of Christoudoulou-Klainermann space-times, in which the temporal evolution is ruled by the "weak" ADM energy; 2) a re-interpretation of "active" diffeomorphisms as "passive and metric-dependent" (...) dynamical symmetries of Einstein's equations, a re-interpretation which enables to disclose their (up to now unknown) connection to gauge transformations on-shell; understanding such connection also enlightens the real content of the Hole Argument or, better, dis-solves it together with its alleged "indeterminism"; 3) the utilization of the Bergmann-Komar "intrinsic pseudo-coordinates", defined as suitable functionals of the Weyl curvature scalars, as tools for a peculiar gauge-fixing to the super-hamiltonian and super-momentum constraints; 4) the consequent construction of a "physical atlas" of 4-coordinate systems for the 4-dimensional "mathematical" manifold, in terms of the highly non-local degrees of freedom of the gravitational field (its four independent "Dirac observables"). Such construction embodies the "physical individuation" of the points of space-time as "point-events", independently of the presence of matter, and associates a "non-commutative structure" to each gauge fixing or four-dimensional coordinate system; 5) a clarification of the multiple definition given by Peter Bergmann of the concept of "(Bergmann) observable" in general relativity. This clarification leads to the proposal of a "main conjecture" asserting the existence of i) special Dirac's observables which are also Bergmann's observables, ii) gauge variables that are coordinate independent (namely they behave like the tetradic scalar fields of the Newman-Penrose formalism). A by-product of this achievements is the falsification of a recently advanced argument asserting the absence of (any kind of) "change" in the observable quantities of general relativity. 6) a clarification of the physical role of Dirac and gauge variables as their being related to "tidal-like" and "inertial-like" effects, respectively. This clarification is mainly due to the fact that, unlike the standard formulations of the equivalence principle, the Hamiltonian formalism allows to define notion of "force" in general relativity in a natural way; 7) a proposal showing how the physical individuation of point-events could in principle be implemented as an experimental setup and protocol leading to a "standard of space-time" more or less like atomic clocks define standards of time. We conclude that, besides being operationally essential for building measuring apparatuses for the gravitational field, the role of matter in the non-vacuum gravitational case is also that of "participating directly" in the individuation process, being involved in the determination of the Dirac observables. This circumstance leads naturally to a peculiar new kind of "structuralist" view of the general-relativistic concept of space-time, a view that embodies some elements of both the traditional "absolutist" and "relational" conceptions. In the end, space-time point-events maintain a "peculiar sort of objectivity". Some hints following from our approach for the quantum gravity programme are also given. (shrink)

"The last remnant of physical objectivity of space-time" is disclosed, beyond the Leibniz equivalence, in the case of a continuous family of spatially non-compact models of general relativity. The physical individuation of point-events is furnished by the intrinsic degrees of freedom of the gravitational field, (viz, the "Dirac observables") that represent - as it were - the "ontic" part of the metric field. The physical role of the "epistemic" part (viz. the "gauge" variables) is likewise clarified. At the end, a (...) peculiar four-dimensional "holistic and structuralist" view of space-time emerges which includes elements common to the tradition of both substantivalism and relationism. The observables of our models undergo real "temporal change" and thereby provide a counter-example to the thesis of the "frozen-time" picture of evolution. (shrink)

”The last remnant of physical objectivity of space-time” is disclosed in the case of a continuous family of spatially non-compact models of general relativity. The physical individuation of point-events is furnished by the autonomous degrees of freedom of the gravitational field, which represent -as it were -the ontic part of the metric field. The physical role of the epistemic part is likewise clarified as embodying the unavoidable non-inertial aspects of GR. At the end the philosophical import of the Hole Argument (...) is substantially weakened and in fact the Argument itself dis-solved, while a specific four-dimensional holistic and structuralist view of space-time emerges, including elements common to the tradition of both substantivalism and relationism. The observables of our models undergo real temporal change: this gives new evidence to the fact that statements like the frozen-time character of evolution, as other ontological claims about GR, are model dependent. (shrink)

The Hamiltonian structure of General Relativity (GR), for both metric and tetrad gravity in a definite continuous family of space-times, is fully exploited in order to show that: i) the "Hole Argument" can be bypassed by means of a specific "physical individuation" of point-events of the space-time manifold M^4 in terms of the "autonomous degrees of freedom" of the vacuum gravitational field (Dirac observables), while the "Leibniz equivalence" is reduced to differences in the "non-inertial appearances" (connected to gauge variables) of (...) the same phenomena. ii) the chrono-geometric structure of a solution of Einstein equations for given, gauge-fixed, initial data (a "3-geometry" satisfying the relevant constraints on the Cauchy surface), can be interpreted as an "unfolding" in mathematical global time of a sequence of "achronal 3-spaces" characterized by "dynamically determined conventions" about distant simultaneity. This result stands out as an important conceptual difference with respect to the standard chrono-geometrical view of Special Relativity (SR) and allows, in a specific sense, for an "endurantist" interpretations of ordinary physical objects in GR. (shrink)

Contents: Evandro AGAZZI: Introduction. Part One: PHILOSOPHICAL CONSIDERATIONS. Paul HORWICH: Realism and Truth. Evandro AGAZZI: On the Criteria for Establishing the Ontological Status of Different Entities. Aristides BALTAS; Con-straints and Resistance: Stating a Case for Negative Realism. Michel PATY: Predicate of Existence and Predictability for a Theoretical Object in Physics. Part Two: OBSERVABILITY AND HIDDEN ENTITIES. François BONSACK: Atoms: Lessons of a History. Alberto CORDERO: Arguing for Hidden Realities. Bernard d'ESPAGNAT: On the Difficulties that Attributing Existence to «Hidden» Quantities May (...) Rise. Massimo PAURI: The Quantum, Space-Time and Observation. Part Three: APPLICATIONS TO QUANTUM PHYSICS. David ALBERT: On the Phenomenology of Quantum-Mechanical Superpositions. Gian Carlo GHIRARDI: Realism and Quantum Mechanics. Michel CROZON: Experimental Evidence of Quark Structure Inside Hadrons. (shrink)

Foreword OLIVER LEAMAN Kentucky University It is an interesting question why Ibn Khaldûn has lasted so long with a high reputation in both the Islamic and ...

Written between 1978 and 2006, these essays engagingly address the most hidden tradition in European political thought: the unpolitical.

In lieu of an abstract, here is a brief excerpt of the content:Prolegomena to a Comparative Reading of The Major Life of St. Francis and The Life of MilarepaMassimo A. RondolinoDifferent religious traditions in different cultures have recorded and transmitted the lives of individuals recognized as “perfected.” The particular doctrinal framework within which each of such figures is identified as “perfected” is certainly specific to the religious tradition that tells their life stories. Similarly, the social processes by which these religious (...) life writings are written, received, and circulated are appropriate to the historical and geographical contexts of their composition. Yet, narrative parallels can be detected across traditions, and the question arises whether these apparent similarities in the creation of such religious life stories across cultures, space, and time reflect actually similar doctrinal and political agendas. Could there be an underlying hagiographic process common to all these literary traditions, regardless of their compositional contexts? In other words, is the writing of spiritual lives a phenomenon that is contextual to a specific religious tradition, or is it rather a particular human response to given social and historical circumstances?I want to offer here a preliminary assessment of a study in comparative hagiology. To this end, I focus on two specific narrative traditions that pertain to two distinct religious, historical, and geographical contexts: the hagiographic writings on the medieval Christian St. Francis of Assisi (1182–1226) and the namthars on the Tibetan Buddhist Milarepa (Mi la ras pa; ca. 1052–1135). In particular, here I make some considerations on a comparative reading of the “standard versions” of their life stories: The Major Life of St. Francis (Legenda Maior Sancti Francisci) by Bonaventure of Bagnoregio (1221–1274), and The Life of Milarepa (Mi la ras pa’i rnam thar) by Tsangnyön Heruka, the “madman” of Tsang (gTsang smyon Heruka; 1452–1507).1The composition and reception of religious life writings is famously characteristic of early and medieval Christianity, with its complex and extensively studied production of hagiographic texts. Similarly, the compilation and distribution of life narratives in a religious context also plays a crucial role in the historical and cultural development of Tibetan Buddhism, with its extensive production of namthars (rnam thar, literally “great liberation” and, therefore, “stories of great liberation”). Within these large narrative traditions, St. Francis of Assisi and Milarepa eminently stand [End Page 163] out, both within and outside their respective cultural contexts, as two among the most renowned spiritual figures in Christianity and Tibetan Buddhism, respectively.2 Furthermore, both figures and their related narrative traditions have been the object of scholarly studies for nearly a century.3Indeed, the spirituality embodied by St. Francis and Milarepa has been already the focus of attempted comparisons that have essentially and consistently focused on a direct assimilation of their respective extreme asceticism and teachings of poverty and renunciation, by drawing extensively on the literary accounts of their lives.4 Yet, it is important to note that the lives of these two exceptional individuals are also almost exclusively known through the dominating perspective of a single author’s works. In fact, although one of the best-known texts on St. Francis is the anonymous Little Flowers of St. Francis (Fioretti di San Francesco, late fourteenth century), the saint’s life and deeds are primarily known through their rendering by Bonaventure of Bagnoregio, general minister of the Franciscan order. Similarly, the acts and teachings of Milarepa as they are familiar to Tibetan (and Western) audiences result primarily from the work of the wandering yogin Tsangnyön Heruka.Reflecting on the apparent parallelisms between the lives and teachings of St. Francis and Milarepa, though, I wonder whether such similarities may not extend beyond the spirituality that the saint and the repa embody. In particular, I am curious as to whether the analogies between the two figures that have been already outlined by several scholars may not actually arise from similarities in the sources’ underlying compositional dynamics and, in particular, in the authors’ approaches to the interpretation and retelling of these individuals’ lives as embodiments of a particular form of spirituality. In fact, if religious life writings are a form of communication that can be found in communities that belong to different traditions, times... (shrink)

Taking for granted a radical criticism of the universalistic value of a post-Protestant understanding of religion and of the nexus between political democracy and secularization, the article aims first at framing the perspective of multicultural jurisdictions within contemporary processes of change of religious pluralism on a transnational scale; secondly at framing that perspective within the intellectual tradition of legal pluralism; and finally at inquiring into the compatibility of the new conceptual constellation ‘post-secular society plus legal pluralism’ with a liberal frame.

It is no secret that we inhabit an increasingly irrational world, plagued by rampant pseudoscience, science denialism, post-truths and fake news. Or perhaps, human nature being what it is, we have always lived in such a world and we are now simply more keenly aware of it because of easy and widespread access to social media. Moreover, the stakes are higher, as pseudoscience in the form of the anti-vax movement imperils the lives of many, while climate change denialism literally risks (...) a collapse of the human ecosystem. So how do we deal with the problem? How do we talk to otherwise perfectly reasonable and functional people who nevertheless espouse all sorts of nonsense — and vote accordingly? In this paper I will explore a couple of real life conversations among many that I have had with believers in pseudoscience, and then present and discuss virtue epistemology as one approach to ameliorate the problem. No silver bullets are available, unfortunately, but it is our intellectual and moral duty to keep, as Carl Sagan famously put it, the candle of reason lit even when surrounded by the darkness of unreason. (shrink)