It is shown that Lewis’ ontological doctrine of Humean supervenience incorporates at its foundation the so-called separability principle of classical physics. In view of the systematic violation of the latter within quantum mechanics, the claim that contemporary physical science may posit non-supervenient relations beyond the spatiotemporal ones is reinforced on a foundational basis concerning constraints on the state representation of physical systems. Depending on the mode of assignment of states to quantum systems — unit state vectors versus statistical density operators (...) — we distinguish between strongly and weakly non-Humean, non-supervenient relations. It is demonstrated that in either case, the relations of quantum entanglement constitute prototypical examples of irreducible physical relations that do not supervene upon a spatiotemporal arrangement of Humean qualities, weakening, thereby, the thesis of Humean supervenience. In this respect, the status of Lewis’ recombination principle is examined, whereas his conception of lawhood is critically investigated. It is concluded that the assumption of ontological reductionism, as expressed in Lewis’ Humean doctrine, cannot be regarded as a reliable code of the nature of the physical world and its contents. It is proposed instead that due to the undeniable existence of non-supervenient relations, a metaphysic of relations of a moderate kind ought to be acknowledged as an indispensable part of our understanding of the natural world at a fundamental level. (shrink)

The most debated status of the wave function of Quantum Mechanics is discussed in the light of the epistemological vs ontological opposition.

Standard quantum mechanics undeniably violates the notion of separability that classical physics accustomed us to consider as valid. By relating the phenomenon of quantum nonseparability to the all-important concept of potentiality, we effectively provide a coherent picture of the puzzling entangled correlations among spatially separated systems. We further argue that the generalized phenomenon of quantum nonseparability implies contextuality for the production of well-defined events in the quantum domain, whereas contextuality entails in turn a structural-relational conception of quantal objects, viewed as (...) carriers of dispositional properties. It is finally suggested that contextuality, if considered as a conditionalization preparation procedure of the object to be measured, naturally leads to a separable concept of reality whose elements are experienced as distinct, well-localized objects having determinate properties. In this connection, we find it necessary to distinguish the meaning of the term reality from the criterion of reality for us. The implications of the latter considerations for the notion of objectivity in quantum mechanics are also discussed. (shrink)

I claim that Heisenberg’s notion of a closed theory and its analysis by Erhard Scheibe fit well with the philosophy of later Wittgenstein or its generalization. The notion of a closed theory corresponds to the notions of a form of life and rule/concept. I suggest the possibility of reconciling the views of Heisenberg, Dirac, and Bohr about inter-theoretical relations within a rational naturalistic pragmatism à la Wittgenstein and Robert Brandom’s analytic interpretation of Kantian synthetic unity of apperception. In particular, I (...) explain why a “closed theory” is “closed”, “accurate” (and even “perfect”), and “final” (as Heisenberg claims), and why it is also “open” and “approximate” in Dirac’s sense. That being said, unlike Alisa Bokulich (2004, 2006, 2008), I rather favour Heisenberg’s philosophical position. (shrink)

There was a time when, in the Liberal Arts, philosophy and education enjoyed the most intimate and productive relationship. Drawing together philosophy and nature they sought to understand the greatest of human mysteries. This meant thinking about both the macrocosm and the microcosm and especially the relation between them. In this relation lies the most fundamental vocation of Liberal Arts education—Know Thyself. In my article I attempt to retrieve the philosophical education that lies between the individual and the universe. I (...) explore the macrocosm through Newton and Einstein, the microcosm through Heisenberg and Zizek, and the relation between them in the structure of the modern Kant/Hegel philosophical experience. The result—only relatively overambitious—is an educational theory of the uncertainty of the universe and everything in it. (shrink)

The various aesthetic phenomena found repeatedly in the scientific enterprise stem from the role of God as artist. If the Creator is an artist, how and why natural scientists study the divine art work can be understood using theological aesthetics and the philosophy of art. The aesthetic phenomena considered here are as follows. First, science reveals beauty and the sublime in natural phenomena. Second, science discovers beauty and the sublime in the theories that are developed to explain natural phenomena. Third, (...) the search for beauty often guides scientists in their work. Fourth, where beauty is perceived, feelings of the sublime often also follow upon further contemplation. This linkage of beauty in science with truth and the sublime runs counter to most aesthetic theory since Kant. Scholarship in theological aesthetics has recently argued that the modern and postmodern elevation of the sublime over beauty is merely a preference that reveals a bias against transcendence—against God. If doing and understanding science can show this sundering of the sublime from the beautiful to be in error, science also gives evidence of transcendence. (shrink)

This paper discerns two types of mathematization, a foundational and an explorative one. The foundational perspective is well-established, but we argue that the explorative type is essential when approaching the problem of applicability and how it influences our conception of mathematics. The first part of the paper argues that a philosophical transformation made explorative mathematization possible. This transformation took place in early modernity when sense acquired partial independence from reference. The second part of the paper discusses a series of examples (...) from the history of mathematics that highlight the complementary nature of the foundational and exploratory types of mathematization. (shrink)

The ArgumentTheorists of science and culture, seeking to explicate the implications of chaos theory, quantum mechanics, or special and general relativity, have drawn parallels to the constellation of intellectual and social phenomena collected in the concept of postmodernism. The notion thereby invoked of a postmodern physics is suggestive and worth exploring. But it remains ungrounded so long as the argument moves in the realm of parallels. Moreover, these discussions prove to be tacitly constrained by a preexisting genre of physicists' own (...) literary production, a genre whose argumentative structures have been taken over implicitly into the subsequent exchanges. Attending critically in this way to the intellectual interests of the discussants — asking who it is that wants to constitute a postmodern physics — should open up more productive ways of framing the debate. (shrink)

There is a growing understanding that addressing the global crisis facing humanity will require new methods for knowing, understanding, and valuing the world. Narrow, disciplinary, and reductionist perceptions of reality are proving inadequate for addressing the complex, interconnected problems of the current age. The pervasive Cartesian worldview, which is based on the metaphor of the universe as a machine, promotes fragmentation in our thinking and our perception of the cosmos. This divisive, compartmentalized thinking fosters alienation and self-focused behavior. I aim (...) to show in this essay that healing the fragmentation that is at the root of the current world crises requires an integrated epistemology that embraces both the rational knowledge of scientific empiricism and the inner knowledge of spiritual experience. This “deep science‘ transcends the illusion of separateness to discern the unity, the unbroken wholeness, that underlies the diverse forms of the universe. Our perception of connectedness, of our integral place in the web of life, emerges as an attribute of our connection with the eternal, beatific source of all existence. This awakened spiritual vision “widens our circle of understanding and compassion, to embrace all living creatures in the whole of nature‘ (Einstein, quoted in Goldstein [1976] 1987). Our behavior, as it emerges naturally out of our perception of the sacredness of the natural world, will naturally embody love and respect for all life forms. This vision promotes the healing of our long-standing alienation from the natural world and offers hope for renewal in the midst of widespread cultural deterioration and environmental destruction. (shrink)

Science has more to offer than just knowledge of nature; it can give us understanding of nature as well. Epistemology of science is usually focused on knowledge and the criteria of justification, while paying little attention to understanding. In a reversal of this emphasis, this article is more about scientific understanding. I argue that the hallmarks of understanding are similar to an aesthetic feature associated with literature, music, and the visual arts. It is the feature described as coherence, harmony, and (...) inevitability of fit. Aesthetics thus plays an epistemic role in science as an indication of understanding. (shrink)

Johann Wolfgang von Goethe's approach to natural scientific research has unmistakable parallels to phenomenology. These parallels are clear enough to allow one to say confidently that Goethe's delicate empiricism is indeed a phenomenology of nature. This paper examines how Goethe's criticisms of Newton anticipated Husserl's announcement of the crisis of the modern sciences, and it describes how Goethe, at a critical juncture in cultural history, addressed this emerging crisis through a scientific method that is virtually identical to the method of (...) contemporary empirical-phenomenological research in the human sciences. Goethe's practice of science shares with phenomenology a participatory, morally-responsive, and holistic approach to the description of dynamic life-world phenomena. Delicate empiricism has its own version of the phenomenological epoché, and, like Husserl's technique of imaginative variation, it strives to disclose the essential or archetypal structure of the phenomenon through the endowment of human imagination. However, a close reading of Goethe suggests that the tendency amongst some scholars to distinguish phenomenology as human science from the natural sciences is actually a costly error which unwittingly falls prey to implicit Cartesian assumptions. Goethe, however, manages to avoid these problems by performing from the first a phenomenology of nature's sensibility. (shrink)

Nous interprétons les vues philosophiques de Werner Heisenberg comme un pragmatisme et un réalisme non-métaphysique de type Wittgensteinien. La « théorie close » est une règle (concept) Wittgensteinienne. À la différence d’Alisa Bokulich qui donne raison à la position de Paul Dirac sur la nature des relations entre les théories physiques différentes, nous favorisons plutôt celle de Heisenberg. Notre position interprétant Heisenberg va aussi à l’encontre de celle de Popper: le critère d’une théorie scientifique établie (close) est sa non-falsifiabilité. -/- (...) . (shrink)

In the following paper, the author will try to test the meaning of the transcendental approach in respect of the inner changes implied by the idea of quantum gravity. He will firstly describe the basic methodological Kant’s aim, viz. the grounding of a meta-science of physics as the a priori corpus of physical knowledge. After that, he will take into account the problematic physical and philosophical relationship between the theory of relativity and the quantum mechanics; in showing how the elementary (...) ontological and epistemological assumptions of experience result to be changed within them, he will also show the further modifications occurred in the development of the loop quantum gravity. He will particularly focus on the tough problem of the relationship space-matter, in order to settle the decisive question about the possibility of keeping a transcendental approach in the light of quantum gravity. He will positively answer by recalling Cassirer’s theory of the invariants of experience, although he will also add some problematic issues arising from the new physical context. (shrink)