We propose a new intensional semantics for modal-tense second-order languages with sortal predicates. The semantics provides a variable-domain interpretation of the second-order quantifiers. A formal logical system is characterized and proved to be sound and complete with respect to the semantics. A contemporary variant of conceptualism as a theory of universals is the philosophical background of the semantics. Justification for the variable-domain interpretation of the second-order quantifiers presupposes such a conceptualist framework.

Logic and philosophy of logic have increasingly become areas of research and great interest in Latin America and Spain, where significant work has been done and continues to be done in both of these fields. The goal of this volume is to draw attention to this work through a collection of original and unpublished papers by specialists from Latin America and Spain. Some of the papers are of importance for set-theory and model theory. They cover topics such as the foundations (...) of paraconsistency, the use of paraconsistent logic as a basis for set-theory, and the methodological aspects in both the justification of new axioms in set theory and the formalization of pre-theoretic notions. Other papers are related to epistemic logic. They deal with the issues of abduction and the choice of the simplest hypothesis, the definition of group probability, and the nature of explanation and understanding in such logic. There are also papers on logical paradoxes, the semantics of names, and the nature of relations. Max A. Freund is Professor of Logic and Philosophy at the University of Costa Rica and the National University of Costa Rica. He is co-author of the book Modal Logic its syntax and semantics, as well as the author of Judicial Logic, and of a forthcoming book The Logic of Sortals. Max Fernandez de Castro is Professor of Logic and Philosophy at the Autonomous Metropolitan University of Mexico. He is the author of the book Quine y la Ontologíaa and co-author of the books Lógica Matemática I: lógica proposicional, intuicionista y modal, Lógica Matemática II: clásica, intuicionista y modal, Teoría de Conjuntos, Lógica y Temas Afines I. Marco Ruffino is Professor of Philosophy at the University of Campinas and the editor of Manuscrito, the Brazilian international journal for Analytic Philosophy. He has many publications, in important philosophical journals, in the philosophy of language, of logic, and of mathematics; in the history of analytic philosophy, and on Frege and Wittgenstein. (shrink)

We present a relative consistency proof for second order systemRRC* and for certain important extensions of this system. The proof proceeds as follows: we prove first the equiconsistency of the strongest of such extensions (viz., systemH RRC*+(/CP**)) with second order systemT * . Now, N. Cocchiarella has shown thatT * is relatively consistent to systemT*+Ext; clearly, it follows thatH RRC*+(/CP**) is relatively consistent toT*+E xt. As an immediate consequence, the relative consistency ofRRC* and the other extensions also follows, being all (...) of them subsystems ofH RRC*+(/CP**). (shrink)

We develop a set-theoretic semantics for Cocchiarella's second-order logical system . Such a semantics is a modification of the nonstandard sort of second-order semantics described, firstly, by Simms and later extended by Cocchiarella. We formulate a new second order logical system and prove its relative consistency. We call such a system and construct its set-theoretic semantics. Finally, we prove completeness theorems for proper normal extensions of the two systems with respect to certain notions of validity provided by the semantics.

Sortal concepts are at the center of certain logical discussions and have played a significant role in solutions to particular problems in philosophy. Apart from logic and philosophy, the study of sortal concepts has found its place in specific fields of psychology, such as the theory of infant cognitive development and the theory of human perception. In this monograph, different formal logics for sortal concepts and sortal-related logical notions are characterized. Most of these logics are intensional in nature and possess, (...) in addition, a bidimensional character. That is, they simultaneously represent two different logical dimensions. In most cases, the dimensions are those of time and natural necessity, and, in other cases, those of time and epistemic necessity. Another feature of the logics in question concerns second-order quantification over sortal concepts, a logical notion that is also represented in the logics. Some of the logics adopt a constant domain interpretation, others a varying domain interpretation of such quantification. Two of the above bidimensional logics are philosophically grounded on predication sortalism, that is, on the philosophical view that predication necessarily requires sortal concepts. Another bidimensional logic constitutes a logic for complex sortal predicates. These three sorts of logics are among the important novelties of this work since logics with similar features have not been developed up to now, and they might be instrumental for the solution of philosophically significant problems regarding sortal predicates. The book assumes a modern variant of conceptualism as a philosophical background. For this reason, the approach to sortal predicates is in terms of sortal concepts. Concepts, in general, are here understood as intersubjective realizable cognitive capacities. The proper features of sortal concepts are determined by an analysis of the main features of sortal predicates. Posterior to this analysis, the sortal-related logical notions represented in the above logics are discussed. There is also a discussion on the extent to which the set-theoretic formal semantic systems of the book capture different aspects of the conceptualist approach to sortals. These different semantic frameworks are also related to realist and nominalist approaches to sortal predicates, and possible modifications to them are considered that might represent those alternative approaches. (shrink)

We shall distinguish between sortal predication and standard predication. The former kind of predication necessarily involves sortal concepts but the latter, as it is customarily viewed, does not. It is generally thought that the only essential occurrence of a concept in a standard predication is the concept being predicated. In this paper, we shall put forward an alternative view. We shall propose to understand standard predication as a cognitive act essentially requiring sortal concepts. We shall call this view conceptual predication (...) sortalism and ground it on the basis of epistemic-semantic reasons. Concepts are understood as intersubjectively realizable capacities or abilities that fulfill particular cognitive roles, such as those of classification, categorization, individuation, and referring. (shrink)

En este artículo muestro cómo el conceptualismo, como enfoque filosófico, podría ofrecer una motivación para el desarrollo de teorías lógicas y matemáticas. Así, estas teorías encontrarían su justificación filosófica en el conceptualismo.

El artículo formula una interpretación de la computabilidad desde la perspectiva del conceptualismo realista. En esta interpretación, la noción central es la de concepto computable, el cual se entiende como cierto tipo de capacidad cognitiva. Aquí se muestra cómo difiere esa interpretación conceptualista de la clásica, denominada teoría de la computabilidad efectiva, en la cual el concepto fundamental es el de algoritmo; también se discute la relación entre estas dos interpretaciones. La discusión explora las consecuencias de la idea de que (...) los contenidos de los conceptos computables se pueden expresar en algoritmos. En un apéndice se plantean, muy brevemente, las diferencias entre el enfoque conceptualista de la computabilidad y otros dos enfoques no clásicos: el intuicionista y el representacionista./// This paper formulates an interpretaron of computability from the perspective of realist conceptualism. The key notion within this theory is that of a computable concept, where a concept is a cognitive capacity of a certain sort. Differences and connections between the conceptualist interpretation and the classical one, customarily referred to as the theory of effective computability, for which the key concept is that of an algoríthm, are shown in the text. Consequences of the idea that the content of computable concepts can be expressed in algoríthms are explored. An appendix briefly outlines how the present conceptualist approach differs from two other non-classical interpretations of computability, the intuitionist and the representationist. (shrink)

With the past and future tense propositional operators in its syntax, a formal logical system for sortal quantifiers, sortal identity and (second order) quantification over sortal concepts is formulated. A completeness proof for the system is constructed and its absolute consistency proved. The completeness proof is given relative to a notion of logical validity provided by an intensional semantic system, which assumes an approach to sortals from a modern form of conceptualism.

An intensional semantic system for languages containing, in their logical syntax, sortal quantifiers, sortal identities, (second-order) quantifiers over sortals and the necessity operator is constructed. This semantics provides non-standard assignments to predicate expressions, which diverge in kind from the entities assigned to sortal terms by the same semantic system. The nature of the entities assigned to predicate expressions shows, at the same time, that there is an internal semantic connection between those expressions and sortal terms. A formal logical system is (...) formulated that is proved to be absolutely consistent, sound and complete with respect to the intensional semantic system. (shrink)

A formal logical system for sortal quantifiers, sortal identity and (second order) quantification over sortal concepts is formulated. The absolute consistency of the system is proved. A completeness proof for the system is also constructed. This proof is relative to a concept of logical validity provided by a semantics, which assumes as its philosophical background an approach to sortals from a modern form of conceptualism.

This dissertation constitutes an inquiry into the formal aspects of a particular form of conceptual intentional realism: Holistic Realist Ramified Conceptualism. Several axiomatic systems, which have this theory as their philosophical background are developed and/or studied from a syntactical and semantical point of view. ;Among systems studied are Cocchiarella's RRC$\sbsp{\lambda}{\*}$ and HRRC$\sbsp{\lambda}{\*}$. A set theoretical semantics for these systems is developed. Also, completeness theorems with respect to certain extensions of RRC$\sbsp{\lambda}{\*}$ and HRRC$\sbsp{\lambda}{\*}$ and certain notions of validity related to that (...) semantics are proved. A relative consistency proof of RRC$\sbsp{\lambda}{\*}$, HRRC$\sbsp{\lambda}{\*}$ and other systems is given. ;An axiomatic system for identity free realist ramified conceptualism involving indiscernibility relative to constructive concepts is developed. A set theoretical semantics for this system is constructed. A completeness theorem with respect to certain extensions of the identity-free system and a notion of validity related to that semantics is proved. ;Epistemic considerations are brought into this inquiry by introducing an epistemic operator into the logical syntax. Such an operator corresponds intuitively to the idea of constructive knowability. A philosophical discussion of this idea is presented and on the basis of this discussion an epistemic logical theory is formulated. It is shown that this system has HRRC$\sbsp{\lambda}{\*}$ as a proper subsystem. On the basis of the epistemic logical theory, an axiomatic system is introduced from which Peano's arithmetic is deduced. In this way, it is shown that arithmetic can be developed axiomatically on conceptualist foundations. (shrink)

We consider a formal language whose logical syntax involves both modal and tense propositional operators, as well as sortal quantifiers, sortal identities and (second order) quantifiers over sortals. We construct an intensional semantics for the language and characterize a formal logical system which we prove to be sound and complete with respect to the semantics. Conceptualism is the philosophical background of the semantic system.

In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight.

Conceptual realism (a logico-philosophical semantic theory) has introduced a logical distinction between the cognitive structure of an assertion and its truth-conditions. We shall argue that the cognitive structure is part of the meaning of an assertion and that, consequently, should be taken into account when interpreting a natural language. We shall also explore this topic in relation to the problem of radical interpretation. The distinction will be made evident by first formulating a logical system (having conceptual realism as its philosophical (...) background) and then exhibiting it in the formal system. This will be preceded by a description of the main philosophical features of conceptual realism. (shrink)

In this text, a variety of modal logics at the sentential, first-order, and second-order levels are developed with clarity, precision and philosophical insight. All of the S1-S5 modal logics of Lewis and Langford, among others, are constructed. A matrix, or many-valued semantics, for sentential modal logic is formalized, and an important result that no finite matrix can characterize any of the standard modal logics is proven. Exercises, some of which show independence results, help to develop logical skills. A separate sentential (...) modal logic of logical necessity in logical atomism is also constructed and shown to be complete and decidable. On the first-order level of the logic of logical necessity, the modal thesis of anti-essentialism is valid and every de re sentence is provably equivalent to a de dicto sentence. An elegant extension of the standard sentential modal logics into several first-order modal logics is developed. Both a first-order modal logic for possibilism containing actualism as a proper part as well as a separate modal logic for actualism alone are constructed for a variety of modal systems. Exercises on this level show the connections between modal laws and quantifier logic regarding generalization into, or out of, modal contexts and the conditions required for the necessity of identity and non-identity. Two types of second-order modal logics, one possibilist and the other actualist, are developed based on a distinction between existence-entailing concepts and concepts in general. The result is a deeper second-order analysis of possibilism and actualism as ontological frameworks. Exercises regarding second-order predicate quantifiers clarify the distinction between existence-entailing concepts and concepts in general. Modal Logic is ideally suited as a core text for graduate and undergraduate courses in modal logic, and as supplementary reading in courses on mathematical logic, formal ontology, and artificial intelligence. (shrink)

Logic and philosophy of logic have increasingly become areas of research and great interest in Latin America and Spain, where significant work has been done and continues to be done in both of these fields. The goal of this volume is to draw attention to this work through a collection of original and unpublished papers by specialists from Latin America and Spain. Some of the papers are of importance for set-theory and model theory. They cover topics such as the foundations (...) of paraconsistency, the use of paraconsistent logic as a basis for set-theory, and the methodological aspects in both the justification of new axioms in set theory and the formalization of pre-theoretic notions. Other papers are related to epistemic logic. They deal with the issues of abduction and the choice of the simplest hypothesis, the definition of group probability, and the nature of explanation and understanding in such logic. There are also papers on logical paradoxes, the semantics of names (including fictional names), and the nature of relations. (shrink)

L'ouvrage traite essentiellement des grands thèmes de la méthodologie et de l'épistémologie wébériennes, tels que la neutralité axiologique, les processus de rationalisation ou la bureaucratie. Il fait également des incursions dans un de ses domaines de prédilection : la sociologie des religions. Il s'interroge plus particulièrement sur la signification de l'économie dans les religions mondiales et sur sa théorie du polythéisme des valeurs.

En su temprano trabajo "Vico y la mitología" , Max Horkheimer elogia a Giambattista Vico por su concepción sociológica y política del mito. En su posterior trabajo Dialéctica Dialéctica de la Ilustración , escrito junto con Theodor W. Adorno, Horkheimer estudia la relación entre pensamiento ilustrado y barbarie mítica. El propósito del presente artículo consiste en señalar las diferencias entre la concepción viquiana del mito y las tesis defendidas en Dialéctica de la Ilustración.In his early work "Vico and Mythology" , (...) Max Horkheimer praised Giambattista Vico for his sociological and political view of myth. Horkheimer's later work, the Dialectic of Enlightenment jointly written with Theodor W. Adorno approaches the relationship between enlightened thought and mythological barbarism. This paper aims to pointing out the difference between Vico's view of myth and that purported in the Dialectic of Enlightenment. (shrink)

Bravo, F. La dialéctica en Teilhard de Chardin.--Carías, R. El conocimiento de Dios en Max Scheler.--Cappelletti, A. J. El fuego y el logos en la filosofía de Heráclito.--Li Carrillo, V. Estructuralismo y antihumanismo.--Rosales, A. Martín Heidegger y la crisis de la filosofía transcendental.--Rosales, A. La crítica de Heidegger al idealismo moderno.--Rosales, A. El giro del pensamiento de Heidegger.

The concept of mass is one of the most fundamental notions in physics, comparable in importance only to those of space and time. But in contrast to the latter, which are the subject of innumerable physical and philosophical studies, the concept of mass has been but rarely investigated. Here Max Jammer, a leading philosopher and historian of physics, provides a concise but comprehensive, coherent, and self-contained study of the concept of mass as it is defined, interpreted, and applied in contemporary (...) physics and as it is critically examined in the modern philosophy of science. With its focus on theories proposed after the mid-1950s, the book is the first of its kind, covering the most recent experimental and theoretical investigations into the nature of mass and its role in modern physics, from the realm of elementary particles to the cosmology of galaxies.The book begins with an analysis of the persistent difficulties of defining inertial mass in a noncircular manner and discusses the related question of whether mass is an observational or a theoretical concept. It then studies the notion of mass in special relativity and the delicate problem of whether the relativistic rest mass is the only legitimate notion of mass and whether it is identical with the classical mass. This is followed by a critical analysis of the different derivations of the famous mass-energy relationship E = mc2 and its conflicting interpretations. Jammer then devotes a chapter to the distinction between inertial and gravitational mass and to the various versions of the so-called equivalence principle with which Newton initiated his Principia but which also became the starting point of Einstein's general relativity, which supersedes Newtonian physics. The book concludes with a presentation of recently proposed global and local dynamical theories of the origin and nature of mass.Destined to become a much-consulted reference for philosophers and physicists, this book is also written for the nonprofessional general reader interested in the foundations of physics. (shrink)

The definition of love given by Descartes in the Passions of the Soul has never stopped puzzling commentators. If the first Cartesian textbooks discreetly evoke or even fail to discuss Descartes’s account of love, Spinoza harshly criticizes it, pointing out that it is ‘on all hands admitted to be very obscure’. More recently several scholars have noticed the puzzling character of the articles of the Passions of the Soul on love and hate. In this paper, I would like to propose (...) a reassessment of the definition of love provided by the Passions of the Soul and the Letters to Elisabeth and Chanut. By tracing back Descartes’s scholastic sources, I will demonstrate how Descartes builds up his definition of love by displacing or subverting the meaning of several major elements of the thomistic vulgata on love. Hence, a significant part of the obscurity of the definition given by the Passions of the Soul possibly finds its ultimate rationale in this attempt to recover some traditional questions of the scholastic debate on love, while advancing new answers to them. (shrink)

Although Clara Campoamor is not a stranger, until very recent times her figure has not begun to receive the attention she deserves. This article analyzes, in an objective and balanced way, the most controversial aspects of her biography, deepening both her personal and doctrinal contribution to feminism, as well as her role as chronicler of the beginning of the Popular Front, the military uprising and the first months of the rearguard on the front lines in Madrid. The last section summarizes (...) the lessons your legacy represents. (shrink)

Existe una guerra cultural que pretende la destrucción de Occidente utilizando como caballo de Troya el enemigo interno del “virus cultural posmoderno”. Se analiza el origen complejo de dicho virus, con más de una cepa, sin descartar la posibilidad de que fuera diseñado en un laboratorio. Apelando a acabar con las verdades fuertes, el “pensamiento culturalmente correcto”impone su propia verdad fuerte sin buscar acuerdo ni síntesis con quien piensa diferente. Se examinan sus principales variantes que se caracterizan por la ausencia (...) de límites y un exceso de contradicciones que producen el aumento de la polaridad, la confusión y la fragilidad. Para contrarrestar todo ello, el artículo plantea algunas posibles vacunas en torno a la idea de un renacimiento cultural y un nuevo equilibrio entre modernidad y tradición. (shrink)

The branching-time logic called Peircean by Arthur Prior is considered and given an infinite axiomatization. The axiomatization uses only the standard deduction rules for tense logic.

Temporal logic is one of the many areas in which a possible world semantics is adopted. Prior's Ockhamist and Peircean semantics for branching-time, though, depart from the genuine Kripke semantics in that they involve a quantification over histories, which is a second-order quantification over sets of possible worlds. In the paper, variants of the original Prior's semantics will be considered and it will be shown that all of them can be viewed as first-order counterparts of the original semantics.

El corazón de Heidegger: el concepto de «estado de ánimo» de Martin de Heidegger, de reciente traducción al español, proporciona valiosas claves para la comprensión y el estudio de la obra de Byung-Chul Han en el ámbito hispanohablante. En este artículo expondremos cómo este texto arroja luz sobre las bases filosóficas de Han, la constitución de su proyecto de relación con la alteridad, el marco fenomenológico en el que origina y el imprescindible papel de Martin Heidegger en su pensamiento. Del (...) mismo modo, contribuye a identificar las etapas de su recorrido, así como los cambios experimentados en sus propuestas. (shrink)

Two seminal articles by a founder of the Gestalt school of psychology, newly translated and accompanied by essays that connect his work to current research.

Few of Stephen Jay Gould’s accomplishments in evolutionary biology have received more attention than his hierarchical theory of evolution, which postulates a causal discontinuity between micro- and macroevolutionary events. But Gould’s hierarchical theory was his second attempt to supply a theoretical framework for macroevolutionary studies—and one he did not inaugurate until the mid-1970s. In this paper, I examine Gould’s first attempt: a proposed fusion of theoretical morphology, multivariate biometry and the experimental study of adaptation in fossils. This early “macroevolutionary synthesis” (...) was predicated on the notion that parallelism and convergence dominate the history of higher taxa, and moreover, that they can be explained in terms of adaptation leading to mechanical improvement. In this paper, I explore the origins and contents of Gould’s first macroevolutionary synthesis, as well as the reasons for its downfall. In addition, I consider how various developments during the mid-1970s led Gould to identify hierarchy and constraint as the leading themes of macroevolutionary studies—and adaptation as a macroevolutionary red herring. (shrink)