Lorenzo Peña

Desde la perspectiva abierta por este libro no puede ya el estudio del Ser considerarse patrimonio de aquellas concepciones que lo entienden exento de contradicción, de gradualidad y de inserción en el devenir. Perfilase ahora una visión del Ser y de los seres que, a la vez que reconoce la absoluta realidad de aquél, concibe todo lo real con determinaciones mutuamente contradictorias, en un entretejimiento de ser y no-ser; visión que viene defendida adoptando el estilo de pensamiento de la filosofía analítica: un proceder, hasta donde quepa, por argumentos formalizables y por definiciones rigurosas. Van desfilando ante esa instancia metodológica los grandes problemas de la metafísica, desembocándose en un racionalismo ontológico consecuente, a la vez que dialéctico. Pruébase, con un argumento trascendental, un principio de inteligibilidad de lo real, del cual van resultando los de razón suficiente, no-contradicción y tercio excluso; explicándose cómo, y en qué medida, coexiste su vigencia con la de lo contradictorio, en una realidad donde se cumple el principio de gradualidad: todas las diferencias son de grado.

Este libro presenta el sistema ontofántico, un tratamiento de todas las cuestiones centrales de la métafísica articulado gracias a una lógica contradictorial, no aristotélica, inspirada en el gradualismo alético de Platón. El libro comporta dos partes: la una, histórica, examina el problema de la esencia y la existencia desde Platón hasta el primer Wittgenstein. La segunda parte, sistemática, propone una solución nueva a las dificultades, identificando a cada ente con su acto de existir y subsumiendo a todos los mundos posibles en un mundo real omniabarcador, del cual serían aspectos.

Introducción a la lógica matemática que se diferencia de los textos estándar que presuponen la verdad o la validez incuestionables de la lógica clásica o aristotélica (la que no admite grados de verdad ni contradicciones). Con este libro el estudiante se adentra en la lógica sin tener que presuponer nada en ese sentido; va descubriendo paulatinamente un abanico de lógicas, de las cuales la clásica es una de ellas, la más simple. El lector va así vislumbrando una inagotable pluralidad de lógicas posibles, algunas de las cuales vienen desarrolladas sintáctica y semánticamente.

This paper deals with an (otherwise classical) two-(non-interacting) particle system immersed in a common stochastic zero-point radiation field. The treatment is an extension of the one-particle case for which it has been shown that the quantum properties of the particle emerge from its interaction with the background field under stationary and ergodic conditions. In the present case we show that non-classical correlations—describable only in terms of entanglement—arise between the (nearby) particles whenever both of them resonate to a common frequency of the field. For identical particles the entanglement becomes maximum and must be described by totally (anti)symmetric states

An analysis is briefly presented of the possible causes of the failure of stochastic electrodynamics (SED) when applied to systems with nonlinear forces, on the basis that the main principles of the theory are correct. In light of this analysis, an alternative approach to the theory is discussed, whose postulates allow to establish contact with quantum mechanics in a natural way. The ensuing theory, linear SED, confirms the essential role of the vacuum–particle interaction as the source of quantum phenomena

We discuss the main results of Linear Stochastic Electrodynamics, starting from a reformulation of its basic assumptions. This theory shares with Stochastic Electrodynamics the core assumption that quantization comes about from the permanent interaction between matter and the vacuum radiation field, but it departs from it when it comes to considering the effect that this interaction has on the statistical properties of the nearby field. In the transition to the quantum regime, correlations between field modes of well-defined characteristic frequencies arise, which coincide with the transition frequencies of quantum mechanics and are therefore directly related with the energy quantization. The Heisenberg equations of motion of (non-relativistic) quantum electrodynamics are thus obtained. After a detailed consideration of the significance of the approximations made, we present a discussion on some of the most delicate or controversial features of quantum mechanics from the perspective provided by the present theory

Three (apparent ) deontic antinomies are discussed: the paradoxes of the watchman and the praiser, as weIl as deontic dilemmas. A paraconsistent deontic logic, Ad, is put forward whose underlying 1st-order calculus is an infinite-valued tensorial logic. Several arguments are offered bearing out be existence of deontic contradictions, while two ways of dealing with conditional obligation paradoxes within the framework of Ad are canvassed. While the aggregation rule and the ought-implies-can principle are upheld, sundry schemata are shown not to obtain which involve iterated deontic operators (most conspicuously: that whatever ought to be obligatory is obligatory; and that it is obligatory that whatever ought to be the case should in fact be the case).

Three (apparent ) deontic antinomies are discussed: the paradoxes of the watchman and the praiser, as weIl as deontic dilemmas. A paraconsistent deontic logic, Ad, is put forward whose underlying 1st-order calculus is an infinite-valued tensorial logic. Several arguments are offered bearing out be existence of deontic contradictions, while two ways of dealing with conditional obligation paradoxes within the framework of Ad are canvassed. While the aggregation rule and the ought-implies-can principle are upheld, sundry schemata are shown not to obtain which involve iterated deontic operators (most conspicuously: that whatever ought to be obligatory is obligatory; and that it is obligatory that whatever ought to be the case should in fact be the case).

In his 1686 essay GI Leibniz undertook to reduce sentences to noun-phrases, truth to being. Such a reduction arose from his equating proof with conceptual analysis. Within limits Leibniz’s logical calculus provides a reasonable way of surmounting the dichotomy, thus allowing a reduction of hypothetical to categorical statements. However it yields the disastrous result that, whenever A is possible and so is B, there can be an entity being both A and B. Yet, Leibniz was in the GI the forerunner of 20th century combinatory logic, which (successfully!) practices - sometimes for reasons not entirely unlike Leibniz’s own grounds - reductions of the same kinds he tried to carry out.