In this research work, we have explored the physical and topological properties of the crystal structure of metal-insulator transition superlattice. In recent times, two-dimensional substantial have enamored comprehensive considerations owing to their novel ophthalmic and mechanical properties for anticipated employment. Recently, some researchers put their interest in modifying this material into useful forms in human life. Also, Metal-Insulator Transition Superlattice is useful in form of a thin film to utilize as two-dimensional transition metal dichalcogenides. Moreover, we have defined the computed-based (...) bond properties such as the degree constructed topological indices and their heat of formation for single crystal and monolayered structure of Ge-Sb-Te. Also, this structure is one of the most interesting composites in modern resources of science. (shrink)

In recent decades we have been given one of the most interesting concepts in Islamic intellectual history, `the scientific miracle of Qur’ān whereby the proponents have almost established the scientific theories in the Qur’ān. However, such ardent claims must not come to be without any inspiration and methodology. This article, firstly, tries to trace the inspiration of such concept and then describe the methodology. However, as exciting as this concept seems, the methodology brings forth a very negative approach to prove (...) the miracle of the Qur’ān, which is value free. That negative value free mentality which is related to the status of prophet of Islam will be exposed and it will detail how the status of prophet of Islam was abated so badly to prove the science from the Qur’ān. To counter this negative narrative and to reveal the true status of prophet of Islam, arguments will be presented from the Qur’ān and Ḥadīth which are incontrovertible. Let it be known than, this analysis is not general but particular. However, it will be a novel critique to re-visit this concept. (shrink)

The author has made this treatise on Madhva’s realistic school of Ved?nta philosophy convincing to the modern mind by employing western logical apparatus in substantiating Madhva’s ideas. Following the Indian classical tradition, the author has examined the validity of Advaitaved?nta, the Absolute Monism of ?a?kara and Bh?skara as P?rvapak?a, and logically proved its inconsistencies. He has then established the Dvaitasiddh?nta i.e., the Monotheistic Dualism of Madhva. He has successfully brought out the nuances of the realistic school of Indian philosophical thought (...) in this work. A Modern Introduction to M?dhva Philosophy is Prof B H Kotabagi’s posthumous publication. (shrink)

Concepts of stability and symmetry in irreversible thermodynamics are developed through the analysis of system energy flows. The excess power function, derived from a local energy conservation equation, is shown to yield necessary and sufficient stability criteria for linear and nonlinear irreversible processes. In the absence of symmetry-destroying external forces, the linear range may be characterized by a set of phenomenological coefficient symmetries relating coupled forces and displacements, velocities, and accelerations, whereas rotational phenomena in nonlinear processes may be characterized by (...) skew-symmetric components of the phenomenological coefficients. A physical interpretation of the nature of the skew-symmetric parts is given and the variational principle of minimum dissipation of energy is related to a stability criterion. (shrink)

The paper presents and applies Hilbert's Epsilon Calculus, first describing its standard proof theory, and giving it an intensional semantics. These are contrasted with the proof theory of Fregean Predicate Logic, and the traditional (extensional) choice function semantics for the calculus. The semantics provided show that epsilon terms are referring terms in Donnellan's sense, enabling the symbolisation and validation of argument forms involving E-type pronouns, both in extensional and intensional contexts. By providing for transparency in intensional constructions they support a (...) Model Conceptualism to contrast with traditional intensional logic's Modal Realism. But epsilon-terms also symbolise fictions, and through their difference from iota terms enable the solution of a number of outstanding puzzles about Direct Reference and de re beliefs. (shrink)

The paper presents and applies Hilbert's Epsilon Calculus, first describing its standard proof theory, and giving it an intensional semantics. These are contrasted with the proof theory of Fregean Predicate Logic, and the traditional (extensional) choice function semantics for the calculus. The semantics provided show that epsilon terms are referring terms in Donnellan's sense, enabling the symbolisation and validation of argument forms involving E-type pronouns, both in extensional and intensional contexts. By providing for transparency in intensional constructions they support a (...) Model Conceptualism to contrast with traditional intensional logic's Modal Realism. But epsilon-terms also symbolise fictions, and through their difference from iota terms enable the solution of a number of outstanding puzzles about Direct Reference and de re beliefs. (shrink)

Recovers some of the value in the Wittgensteinian period of philosophy, using certain logical systems: Prior's theory of operators and Hilbert's epsilon calculus. This work applies, discursively, the previous largely technical results published in Prolegomena to Formal Logic (Aldershot, Gower 1989) and Intensional Logic (Aldershot, Ashgate 1994) to resolve matters of current interest in philosophy, logic and linguistics - notably attacking a variety of realisms found in comtemporary cognitive science and the philosophy of mathematics.

The scope of the thermodynamic theory of nonlinear irreversible processes is widened to include the nonlinear stability analysis of system motion. The emphasis is shifted from the analysis of instantaneous energy flows to that of the average work performed by periodic nonlinear processes. The principle of virtual work separates dissipative and conservative forces. The vanishing of the work of conservative forces determines the natural period of oscillation. Stability is then determined by the variations of the dissipative forces with amplitude of (...) oscillation. If the work is a minimum, under certain conditions, the motion is stable. Reduction to linear analysis shows the coincidence with the impedance analysis of electrical circuit theory. The theory is applied to the analysis of temporal interactions of nonlinear irreversible processes in the particular cases of synchronization and hysteresis. Characteristic nonequilibrium phenomena of directional energy transfers, self-excitation, system passivity, wave modulation, and “beat” phenomena are observed. Possible relationships with biological processes are discussed. (shrink)

One of the claims made for C. S. Peirce's existential graphs has been that they are a deductively complete formulation of first-order logic with identity. As Peirce presented them, this is true only for certain versions of first-order logic :those which do not include terms for individuals. I amend Peirce's rules here, showing, in particular, how they are capable of demonstrating that, for instance, ?Jack is in the kitchen? contradicts ?Jack is not in the kitchen?

The history of Athenian relations with Sicily in the fifth century is beset with difficulties; and no part of it, perhaps, is more obscure than the story of what is commonly known as the First Sicilian Expedition, which set sail from Athens in the late summer of 427 under Laches, and was reinforced under Pythodorus, Sophocles and Eurymedon in the winter of 426.

A simple random walk model has been shown by Gaveauet al. to give rise to the Klein-Gordon equation under analytic continuation. This absolutely most probable path implies that the components of the Dirac wave function have a common phase; the influence of spin on the motion is neglected. There is a nonclassical path of relative maximum likelihood which satisfies the constraint that the probability density coincide with the quantum mechanical definition. In three space dimensions, and in the presence of electromagnetic (...) interaction, the Lagrangian for this optimal, nonclassical path coincides with the Lagrangian of the Dirac particle. The nonrelativistic, or diffusion, limit is shown to be a formal consequence of Einstein's dynamical equilibrium condition; the continuity equation reduces to the same diffusion equation derived from Schrödinger's equation. The relativistic, massless limit, which would describe a neutrino, is comparable (in the sense of analytic continuation) to a nonviscous liquid whose molecules possess internal degrees of freedom. (shrink)

The thermodynamics of averaged motion treats the asymptotic spatiotemporal evolution of nonlinear irreversible processes. Dissipative and conservative actions are associated with short and long spatiotemporal scales, respectively. The motion of asymptotically stable systems is slow, monotonic, and continuous, so that the microscopic state variable description of rapid motion can be supplanted by an analysis of the macroscopic variable equations of motion of amplitude and phase. Rapid motion is associated with instability, and the direction of system motion is determined by thermodynamic (...) criteria, in place of an analysis of the microscopic equations of motion. The characteristic structural configurations, deduced from the extremum principles of partial differential equations, are compared with the thermodynamic criteria. As a result of the nature of asymptotic motion, variational principles exist which characterize the asymptotic states of the system. (shrink)

Like the author's first work, this text again develops two advanced logical systems: the formalization of intensional constructions initiated by Arthur Prior, and the refinement of predicate logic instituted by David Hilbert. This book is more historical than the first, but the emphasis is still on the application of the two systems to problems in analytical metaphysics. The natures of provability and possibility are studied further, as well as the natures of opacity and intensional objects.

The Einstein-Podolsky-Rosen paradox as formulated in their original paper is critically examined. Their argument that quantum mechanics is incomplete is shown to be unsatisfactory on two important grounds. (i) The gedanken experiment proposed by Einstein, Podolsky, and Rosen is physically unrealizable, and consequently their argument is invalid as it stands. (ii) The basic assumptions of their argument are equivalent to the assumption that quantum mechanical systems are in fact describable by unique eigenfunctions of the operators corresponding to physical observables, independent (...) of any observation or measurement. Following an argument due to Furry, it is shown that this interpretation of quantum mechanics must lead to some physical predictions at variance with those of conventional quantum mechanics. A decisive experiment has been performed by Freedman and Clauser, which rules out this interpretation, and imposes severe restrictions on any alternative theory which incorporates the Einstein, Podolsky, and Rosen concept of physical reality. (shrink)

Brian Wormald provides a fundamental reappraisal of one of the most complex and innovative figures of the late-Elizabethan and Jacobean age. In the centuries since his death, Francis Bacon (1561-1626) has been perceived and studied as a promoter and prophet of the philosophy of science--natural science--but he saw himself also as a clarifier and promoter of what he called "policy" or the study and improvement of the structure and function of civil states. Mr. Wormald shows that Bacon was concerned equally (...) with the knowledge of the world of nature and with that of policy. The junction between the two enterprises was effected by his work in history; and in the end it was Bacon's conception and practice of history that provided the answer to his efforts to advance policy and natural philosophy. (shrink)

The generalized thermodynamic potential analysis of nonlinear irreversible processes precludes the analysis of rotational processes. The nonexistence of scalar potential functions necessitates a thermodynamic analysis of the system forces. A field analysis in the phase space of the generalized displacements and velocities treats the force components as tensors of second order that tend to deform and rotate the irreversible process, which is viewed as an elastic material. The analysis of chemical oscillatory processes involves the introduction of the thermodynamic vector potential, (...) which is subsequently used in the formulation of a variational principle and to define an energy flux vector. The direction of energy flow elucidates the mechanism by which steady motion is maintained and it is a characteristic property of open systems. Field analyses of systems that are described by half and single degrees of freedom are contrasted. (shrink)

It seems surprising that this text—or others similar— has been accepted without any serious search for a more meaningful alternative. Even if it be thought that Euripides was capable of adding , in an unusual sense producing an awkward tautology, to , surely this should only be accepted in the absence ofa more credible emendation which departs no further from the manuscripts? Is there such an alternative? In the corresponding last line of the strophe we have : the first syllable (...) of is doubtful; there seems to be no convincing metrical objection to its being a long syllable here. This atonce suggests the maintenance of the manuscripts' to maintain the metrical balance. (shrink)