This is a textbook on quantum mechanics. It is addressed to graduates and advanced undergraduates. The book presents quantum theory as a logically coherent system, placing stronger emphasis on the theory' s probabilistic structure and on the role of symmetries. It makes students aware of foundational problems from the very beginning, but at the same time, it urges them to adopt a pragmatic attitude towards the quantum formalism. The book consists of five parts. Part I is a review of classical (...) physics, including probability theory, and a historical introduction to quantum theory. Part II presents quantum theory in terms of six fundamental principles. The principles are presented together with the necessary mathematical background and with applications to simple systems. Part III analyses the properties of quantum particles. It starts with the description of symmetries, continues to non-relativistic particles, the introduction of spin, and particle statistics. It concludes with a symmetries-based introduction to relativistic quantum systems and with the first steps towards relativistic quantum field theory. Part IV presents techniques adapted to specific problems: the structure and spectra of composite systems, decays and transitions, particle scattering, and open quantum systems. Finally, Part V revisits quantum foundations: quantum measurement theory, the major interpretations of quantum theory, and the frontiers of quantum theory in contemporary research. (shrink)

In the contemporary philosophy of mind and consciousness studies, views such as panpsychism or theories of universal consciousness, have enjoyed a recent renaissance of metaphysical speculations in Western philosophy. Its similarities with Eastern philosophical traditions went not unnoticed. However, the potential contribution that the evolutionary cosmology of the Indian poet, mystic and philosopher Sri Aurobindo can offer to these ontologies, remains largely unknown or unexplored. Here, consciousness, mind, life, matter and evolution are interpreted in an extended metaphysical framework, uniting Western (...) and Eastern traditions inside a modern philosophical system where materialism, panpsychism, cosmopsychism and philosophical idealism are not seen as irreconcilable exclusives, but different points of view that can be reconciled in a synthesis of knowledge, as envisioned from higher states of consciousness. This integral view of reality offers a conceptual platform that can complement and incorporate current theoretical approaches in modern philosophy, where their present internal inconsistencies do not emerge, and can be suggestive for scientists as well, especially in the fields of biology and physical sciences. (shrink)

Human linguistic phenomenon is at one and the same time an individual, social, and political fact. As such, its study should bear in mind these complex interrelations, which are produced inside the framework of the sociocultural and historical ecosystem of each human community. Understanding this phenomenon is often no easy task, due to the range of elements involved and their interrelations. The absence of valid, clearly developed paradigms adds to the problem and means that the theoretical conclusions that emerge may (...) be unclear on certain points. It is true that in the last fifty years sociolinguistic studies have advanced considerably, and today we have access to an impressive set of data and a wide variety of theoretical reflections. But as a discipline sociolinguistics does not yet have unified, powerful theoretical models able to account rigorously and clearly for the phenomena it studies. Sociolinguistic studies are today a diverse set of contributions in which certain and theoretical schools and lines of research emerged; but as is to be expected in a relatively new field, there is not enough communication between the various schools and they cannot yet be said to be integrated in terms of their conceptual and theoretical postulates. Against this background, our work aims to contribute to the overall, integrated understanding of the processes of language contact. Via an interdisciplinary, eclectic approach, it also aims to aid the theoretical grounding and integration of a unified, common sociolinguistic paradigm. Our strategy will not be merely to combine the contributions from ongoing research lines, but to address the question from a more global viewpoint which, together with the more innovative contemporary scientific disciplines, permits a harmonious integration of the various sociolinguistic perspectives in a broad, deep and unitary approach to the reality. The materials used to construct this unified approach are taken from many sources: Theoretical physics, ecology, the philosophy of science and mind, anthropology, phenomenological and process sociology, cognitive sciences, political science, pragmatics, history, systems theory, approaches to complexity and obviously sociolinguistics, are all involved in a dialogue in this desire for integration. (shrink)

This book aims to contribute to the overall, integrated understanding of the processes of language contact and their evolution, be they the result of political or economic (dis)integrations or migrations or for technological reasons. Via an interdisciplinary, holistic approach, it also aims to aid the theoretical grounding of a unified, common sociolinguistic paradigm, based on an ecological and complexical perspective. This perspective is based on the fact that linguistic structures do not live in isolation from their social functions and must (...) be situated in relation to the sub- and supra-systems that determine their existence if we are to understand their fortunes. It is a contribution in understanding and promoting the processes of linguistic revitalization in the world, combining at the same time the maintenance and development of diversity while ensuring the intercommunication of human species. (shrink)

The essential role of language in rational cognition is analysed. The approach is functional: only the results of the connection between language, reality, and thinking are considered. Scientific language is analysed as an extension and improvement of everyday language. The analysis gives a uniform view of language and rational cognition. The consequences for the nature of ontology, truth, logic, thinking, scientific theories, and mathematics are derived.

To make out in what way Einstein’s manifold 1905 ‘annus mirabilis’ writings hang together one has to take into consideration Einstein’s strive for unity evinced in his persistent attempts to reconcile the basic research traditions of classical physics. Light quanta hypothesis and special theory of relativity turn out to be the contours of a more profound design, mere milestones of implementation of maxwellian electrodynamics, statistical mechanics and thermodynamics reconciliation programme. The conception of luminiferous ether was an insurmountable obstacle for Einstein’s (...) statistical thermodynamics in which the leading role was played by the light quanta paper. In his critical stand against the entrenched research traditions of classical physics Einstein was apparently influenced by David Hume and Ernst Mach. However, when related to creative momenta, Einstein’s 1905 unificationist modus operandi was drawn upon Mach’s principle of economy of thought taken in the context of his ‘instinctive knowledge’ doctrine and with promising inclinations of Kantian epistemology presuming the coincidence of both constructing theory and integrating intuition of Principle. (shrink)

In this dialogue the view of Paul Hoyningen-Huene as defended in Systematicity. The Nature of Science is presented and criticized. The approach is developed dialectically by the two interlocutors, a series of critical points are debated and an alternative view is introduced. The dialogical form is intended to honor the general philosophical approach of the author summarized in the last sentence of the book, where he states that he sees philosophy as an ongoing, open-ended dialogue.

Hoyningen-Huene develops an account of what science is, distinguishing it from common sense. According to Hoyningen-Huene, the key distinguishing feature is that science is more systematic. He identifies nine ways in which science is more systematic than common sense. I compare Hoyningen-Huene’s view to a view I refer to as the “Continuity Thesis.” The Continuity Thesis states that scientific knowledge is just an extension of common sense. This thesis is associated with Quine, Planck, and others. I argue that Hoyningen-Huene ultimately (...) rejects the Continuity Thesis, and I present further evidence to show that the Continuity Thesis is false. I also argue that it is the systematicity of science that ultimately grounds the epistemic authority of science. Hoyningen-Huene thus draws attention to an important feature of science that explains the place of science in contemporary society. (shrink)

Our manuscript addresses the foundational question of cognitive science: how do we know? Specifically, examination of the mathematics of acquiring mathematical knowledge revealed that knowing-within-mathematics is reflective of knowing-in-general. Based on the correspondence between ordinary cognition (involving physical stimuli, neural sensations, mental concepts, and conscious percepts) and mathematical knowing (involving objective particulars, measured properties, abstract theories, and concrete models), we put forward the functorial semantics of mathematical knowing as a formalization of cognition. Our investigation of the similarity between mathematics and (...) cognition led us to argue against the compartmentalization of scientific knowledge and ordinary cognition, and make a case for the understanding of the basic science of knowing in terms of functorial semantics. Recognizing functorial semantics as an elementary form of cognition can help advance cognitive science the way calculus helped in the advancement of physics. (shrink)

This book concerns the metasemantics of quantum mechanics (QM). Roughly, it pursues an investigation at an intersection of the philosophy of physics and the philosophy of semantics, and it offers a critical analysis of rival explanations of the semantic facts of standard QM. Two problems for such explanations are discussed: categoricity and permanence of rules. New results include 1) a reconstruction of Einstein's incompleteness argument, which concludes that a local, separable, and categorical QM cannot exist, 2) a reinterpretation of Bohr's (...) principle of correspondence, grounded in the principle of permanence, 3) a meaning-variance argument for quantum logic, which follows a line of critical reflections initiated by Weyl, and 4) an argument for semantic indeterminacy leveled against inferentialism about QM, inspired by Carnap's work in the philosophy of classical logic. (shrink)

The hard problem of consciousness is explicating how moving matter becomes thinking matter. Harder yet is the problem of spelling out the mutual determinations of individual experiences and the experiencing self. Determining how the collective social consciousness influences and is influenced by the individual selves constituting the society is the hardest problem. Drawing parallels between individual cognition and the collective knowing of mathematical science, here we present a conceptualization of the cognitive dimension of the self. Our abstraction of the relations (...) between the physical world, biological brain, mind, intuition, consciousness, cognitive self, and the society can facilitate the construction of the conceptual repertoire required for an explicit science of the self within human society. (shrink)

Abstract We examine the construction of electromagnetism in its current form, and in an alternative form, from a point of view that combines a minimal realism with strict rational demands. We begin by discussing the requests of reason when constructing a theory and next, we follow the historical development as presented in the record of original publications, the underlying epistemology (often explained by the authors) and the mathematical constructions. The historical construction develops along socio-political disputes (mainly, the reunification of Germany (...) and the second industrial revolution), epistemic disputes (at least two demarcations of science in conflict) and several theories of electromagnetism. Such disputes resulted in the militant adoption of the ether by some, a position that expanded in parallel with the expansion of Prussia. This way of thinking was facilitated by the earlier adoption of a standpoint that required, as a condition for understanding, the use of physical hypothesis in the form of analogies; an attitude that is antithetic to Newton's “hypotheses non fingo”. While the material ether was finally abandoned, the epistemology survived in the form of “substantialism” and a metaphysical ether: the space. The militants of the ether attributed certainties regarding the ether to Faraday and Maxwell, when they only expressed doubts and curiosity. Thus, the official story is not the real history. This was achieved by the operation of detaching Maxwell's electromagnetism from its construction and introducing a new game of formulae and interpretations. Large and important parts of Maxwell work are today not known, as for example, the rules for the transformation of the electromagnetic potentials between moving systems. When experiments showed that all the theories based in the material ether were incorrect, a new interpretation was offered: Special Relativity (SR). At the end of the transformation period a pragmatic view of science, well adapted to the industrial society, had emerged, as well as a new protagonist: the theoretical physicist. The rival theory of delayed action at distance initiated under the influence of Gauss was forgotten in the midst of the intellectual warfare. The theory is indistinguishable in formulae from Maxwell's and its earlier versions are the departing point of Maxwell for the construction of his equations. We show in a mathematical appendix that such (relational) theory can incorporate Lorentz' contributions as well as Maxwell's transformations and C. Neumann's action, without resource to the ether. Demarcation criteria was further changed at the end of the period making room for habits and intuitions. When these intuited criteria are examined by critical reason (seeking for the fundaments) they can be sharpened with the use of the Non Arbitrariness Principle, which throws light over the arbitrariness in the construction of SR. Under a fully rational view SR is not acceptable, it requires to adopt a less demanding epistemology that detaches the concept from the conception, such as Einstein's own view in this respect, inherited from Hertz. In conclusion: we have shown in this relevant exercise how the reality we accept depends on earlier, irrational, decisions that are not offered for examination but rather are inherited from the culture. (shrink)

Richard Arthur and I proposed that the present in Minkowski spacetime should be thought of as a small causal diamond. That is, given two timelike separated events p and q, with p earlier than q, they suggested that the present is the set I+ ∩ I-. Mauro Dorato presents three criticisms of this proposal. I rebut all three and then offer two more plausible criticisms of the Arthur/Savitt proposal. I argue that these criticisms also fail.

In concluding his ‘Autobiographical notes’, Albert Einstein explained that the purpose of his exposition was to ‘show the reader how the efforts of a life hang together and why they have led to expectations of a definite form’. Einstein's remarks tell of a coherence between personal ‘strivings and searchings’ and scientific activity, which has all but vanished in the midst of the current trend of social constructivism in history of science. As Nancy Nersessian recently pointed out, in the process of (...) illuminating complex relationships between scientific activity and its social context, ‘socio-historical analysis has “black-boxed” the individual scientist’. Has the pendulum swung too far? In reaction to the preceding great-man hagiographie approach to the history of science, the social constructivists have largely ‘thrown the baby out with the bathwater’; consideration of individual scientists' personal approaches to science was unnecessarily expunged with the removal of ‘genius’ as an explanatory tool. (shrink)

Inconsistencies in science take several forms. Some occur at the level of substantive claims about the world. Others occur at the level of methodology, and take the form of dilemmas, or cases of conflicting epistemic or cognitive values. In this article, I discuss how methodological dilemmas arise. I then consider how scientists resolve them. There are strong grounds for thinking that emotional judgement plays an important role in resolving methodological dilemmas. Lastly, I discuss whether and under what conditions this reliance (...) on emotional judgement is rationally warranted. I consider two possible mechanisms, based on coherence and induction, able to ensure that scientists’ emotional responses to methodological dilemmas are rationally warranted. (shrink)

Cognition involves physical stimulation, neural coding, mental conception, and conscious perception. Beyond the neural coding of physical stimuli, it is not clear how exactly these component processes constitute cognition. Within mathematical sciences, category theory provides tools such as category, functor, and adjointness, which are indispensable in the explication of the mathematical calculations involved in acquiring mathematical knowledge. More speci cally, functorial semantics, in showing that theories and models can be construed as categories and functors, respectively, and in establishing the adjointness (...) between abstraction (of theories) and interpretation (to obtain models), mathematically accounts for knowing-within-mathematics. Here we show that mathematical knowing recapitulates--in an elementary form--ordinary cognition. The process of going from particulars (physical stimuli) to their concrete models (conscious percepts) via abstract theories (mental concepts) and measured properties (neural coding) is common to both mathematical knowing and ordinary cognition. Our investigation of the similarity between knowing-within-mathematics and knowing-in-general leads us to make a case for the development of the basic science of cognition in terms of the functorial semantics of mathematical knowing. (shrink)

My title, “Belief in Naturalism,” signals, not that I adopt naturalism as an article of faith, but that my purpose in this paper is to shed some light on what belief is, on why the concept of belief is needed in epistemology, and how all this relates to debates about epistemological naturalism. After clarifying the many varieties of naturalism, philosophical and other (section 1), and then the various forms of epistemological naturalism specifically (section 2), I offer a theory of belief (...) in which three elements – the behavioral, the neurophysiological, and the socio-historical – interlock (section 3), and apply this theory to resolve some contested questions: about whether animals and pre-linguistic infants have beliefs, about the fallibility of introspection, and about self-deception (section 4). (shrink)

I discuss a rarely mentioned correspondence between Einstein and Swann on the constructive approach to the special theory of relativity, in which Einstein points out that the attempts to construct a dynamical explanation of relativistic kinematical effects require postulating a fundamental length scale in the level of the dynamics. I use this correspondence to shed light on several issues under dispute in current philosophy of spacetime that were highlighted recently in Harvey Brown’s monograph Physical Relativity, namely, Einstein’s view on the (...) distinction between principle and constructive theories, and the consequences of pursuing the constructive approach in the context of spacetime theories. r 2008 Elsevier Ltd. All rights reserved. (shrink)

Half a century after Michael Polanyi conceptualised ‘the tacit component’ in personal knowing, management studies has reinvented ‘tacit knowledge’—albeit in ways that squander the advantages of Polanyi’s insights and ignore his faith in ‘spiritual reality’. While tacit knowing challenged the absurdities of sheer objectivity, expressed in a ‘perfect language’, it fused rational knowing, based on personal experience, with mystical speculation about an un-experienced ‘external reality’. Faith alone saved Polanyi’s model from solipsism. But Ernst von Glasersfeld’s radical constructivism provides scope to (...) rethink personal tacit knowing with regard to ‘other people’ and the intersubjectively viable construction of ‘experiential reality’. By separating tacit knowing from Polanyi’s metaphysical realism and drawing on Benedict Anderson’s concept of ‘imagined communities’, it is possible to conceptualise ‘imagined institutions’ as the tacit dimension of power that shapes human interaction. Whereas Douglass North claimed institutions could be reduced to rules, imagined institutions are known in ways we cannot tell. (shrink)

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Heisenberg, in constructing quantum mechanics, explicitly followed certain principles exemplified, as he believed, in Einstein's construction of the special theory of relativity which for him was the paradigm for radical theoretic change in physics. These were the principles of scientific realism, stability of background knowledge, E-observability, contextual re-interpretation, pragmatic continuity, model continuity, simplicity. Fifty years later, in retrospect, Heisenberg added the following two: a principle of non-proliferation of competing theories - scientific revolutions are not a legitimate goal of physics - (...) and a principle of tenacity - existing theories are to be conserved as far as possible. The conservative as well as the revolutionary potential of these principles is then discussed. A more penetrating philosophical criticism of these principles is postponed. (shrink)

This paper claims that there is an epistemological evidence of an unavoidable gap between purely formal sciences (sciences of essences) and the empirical sciences for which they provide the foundation. A second key theme is the way that all empirical sciences are grounded in a pure science of essences. At the same time, I endeavour to explain how the insights Weyl gleaned from Husserl played an important role in his scientific work, and to show how Einstein’s major work exhibit important (...) parallels to Weyl’s work, thereby establishing phenomenology both as an indirect historical influence and a systematic underpinning for Einstein’s work in theoretical physics. In so doing, this paper seeks to show how some of the most basic problems that Einstein addresses have a kinship not just to problems addressed in a completely different context by Husserl and his circle, but also to perennial problems in ontology and epistemology that go back to Kant, Hume and Leibniz. The conclusion highlights how phenomenology influenced Einstein, but also how Einstein’s work on relativity had an important influence on the work of the most important phenomenologist of the twentieth century, namely Husserl in his Crisis of European Sciences. (shrink)

(1987). Einstein's brand of verificationism. International Studies in the Philosophy of Science: Vol. 2, No. 1, pp. 33-54. doi: 10.1080/02698598708573301.