1. Prolegomena. Provlēmata gnōsiologias.

It is an experimental fact that \ -decays produce in a cloud chamber at most one track and that this track points in a random direction. This seems to contradict the description of decay in Quantum Mechanics: according to Gamow a spherical wave is produced and moves radially according to Schrödinger’s equation. It is as if the interaction with the supersaturated vapor turned the wave into a particle. The aim of this note is to place this effect in the context (...) of Schrödinger’s Quantum Mechanics. We shall see that the properties of the initial wave function suggest the introduction of a semiclassical formalism in which the \ -wave can be described as a collection of semiclassical wavelets; each of them interacts with an atom and forms an entangled state. The interaction can be regarded as a semiclassical inelastic scattering event. The measurement selects the wave function of one of the ions, with a probability given by Born’s rule. This ion interacts with the atoms nearby leading to the formation of a droplet. One can reasonably assume that also the wavelet entangled with the selected ion has probability one to remain as part of the description of the system. The measurement process is therefore represented by a unitary operator. The wavelet remains sharply localized on a classical path \ It is still a probability wave: it determines the probability that another atom be ionized. This probability is essentially zero unless the atom lies on \ . This gives the visible track. (shrink)

Interactive theories of lexical retrieval in language production assume that activation cascades from earlier to later processing levels, and feeds back in the reverse direction. This commentary invites Pickering & Garrod (P&G) to consider whether cascading and feedback can be seen as a form of forwarding modeling within a hierarchical production system.

Both inside and outside philosophy of science, the past 25 years has seen a remarkable increase in the epistemic importance attached to the role of background beliefs and values of agents engaged in cognitive inquiry. Emphasis on the role of background commitments has been beneficial in bringing philosophy of science back into closer relation with the varied forms of science. But at present there cannot be said to be any clear consensus among philosophers on issues of the theoretical status of (...) such commitments, or of their import upon conceptions of scientific meta-methodology.The situation worsens when one considers widespread suspicion today among many historicists and sociologists of science of the viability of philosophy of science as a normative enterprise. This marks the ground between normative epistemology and its critics. But to understand the skeptical attitude towards normative theory, one must attend to the background assumptions about normative discourse imbedded in logical empiricism, and in particular to the state of logical empiricist metascience just prior to the revolution of sorts that occurred in the 1960’s. (shrink)

This book traces the intellectual revolution initiated by Thales in the sixth century BC to its culmination in the metaphysics of Parmenides.

The faults of logical empiricist accounts of metascientific discourse are examined through a study of the modifications Carnap makes to his version of the program over four decades. As empiricists acquiesced on the distinction between theory and observation, Carnap attempted to retain and insulate an equally suspect sharp distinction between the theoretic and the pragmatic. Carnap's later philosophy was understood as a modification of the program in the direction of pragmatism. But neither the key notion of "external questions" nor an (...) instrumentalist understanding of "pragmatic utility" are genuinely compatible with pragmatism. This underlines the need to clarify what is unique to pragmatic views of cognitive evaluation and normative discourse as they affect scientific reasoning. I conclude by suggesting how pragmatic conceptions of metascientific discourse can work to correct misconceptions about norm generation and governance that are shared in logicist and historicist accounts. (shrink)

Philosophical anthropologist Mircea Eliade once said that "the union of opposites" is a basic category of archaic ontology and comparative world religions. In this paper I develop the theory of contrariety or opposition as a prime focus for East/West comparative philosophy. The paper considers especially Nishida Kitaro's later works and the complex phrase "zettai mujuntekijikodbitsu," variously translated by Schinzinger as "absolute contradictory self-identity," "the self-identity of absolute contradictories," or more simply as "oneness" or "unity" of opposites.

By means of a Clebsch representation which differs from that previously applied to electromagnetic field theory it is shown that Maxwell's equations are derivable from a variational principle. In contrast to the standard approach, the Hamiltonian complex associated with this principle is identical with the generally accepted energy-momentum tensor of the fields. In addition, the Clebsch representation of a contravariant vector field makes it possible to consistently construct a field theory based upon a direction-dependent Lagrangian density (it is this kind (...) of Lagrangian density that may arise when developing the Finslerian extension of general relativity). The corresponding field equations are proved to be independent of any gauge of Clebsch potentials. The law of energy-momentum conservation of the field appears to be covariant and integrable in a rather wide class of direction-dependent Lagrangian densities. (shrink)

This book traces the intellectual revolution initiated by Thales in the sixth century BC to its culmination in the metaphysics of Parmenides.

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I present the current experimental and theoretical work on interference in complementary spaces. These ideas are applicable to both light and matter waves. I give a detailed treatment for classical light beams in frequency and time domains. I also present a description which gives the totality of interferences.

This book traces the intellectual revolution initiated by Thales in the sixth century BC to its culmination in the metaphysics of Parmenides.

A Finslerian extension of general relativity is examined with particular emphasis on the Finslerian generalization of the equation of motion in a gravitational field. The construction of a gravitational Lagrangian density by substituting the osculating Riemannian metric tensor in the Einstein density is studied. Attention is drawn to an interesting possibility for developing the theory of test bodies against the Finslerian background.

The analysis of a previous paper (see Ref. 1), in which the possibility of a Finslerian generalization of the equations of motion of gravitational field sources was demonstrated, is extended by developing the Finslerian generalization of the gravitational field equations on the basis of the complete contractionK = K lj lj of the Finslerian curvature tensorK l j hk (x, y). The relevant Lagrangian is constructed by the replacement of the directional variabley i inK by a vector fieldy i (x), (...) so that the notion of osculation may be regarded as the key concept on which the approach is based. The introduction of the auxiliary vector fieldy i (x) is shown to be of physical significance, for the field equations refer not only to the proper field variables but also to a special coordinate system associated withy i (x) through the Clebsch representation of the latter. The status of the conservation laws proves to be similar to that in the theory of the Yang-Mills field. By choosing a special Finslerian metric function we elucidate in detail the structure of the field equations in the static case. (shrink)