This pioneering book presents a reconstitution of Charles Sanders Peirce philosophical system as a coherent architecture of concepts that form a unified theory of reality. Historically, the majority of Peircean scholars adopted a thematic approach to study isolated topics such as semiotics and pragmatism without taking into account the author’s broader philosophical framework, which led to a poor and fragmented understanding of Peirce’s work. In this volume, professor Ivo Assad Ibri, past president of The Charles Sanders Peirce Society and a (...) leading figure in the Brazilian community of Peircean scholars, adopts a systemic approach to Peirce’s thought and presents Peirce’s scientific metaphysics as a deep ontological architecture based on a semiotic logic and on pragmatism as criteria of meaning. Originally published in Portuguese, this book became a classic among Brazilian Peircean scholars by presenting a conceptual matrix capable of providing a clear reference system to ground the thematic studies into the broader Peircean system. Now translated to English, this reviewed, amplified and updated edition aims to make this contributions available to the international community of Peircean scholars and to serve as a tool to understand Peirce’s work in a more systemic way by integrating concepts such as experience, phenomenon, existence and reality, as well as theories such as Chance, Continuity, Objective Idealism, Cosmology and Pragmatism, in a coherent system that reveals Peirce’s complex metaphysical architecture. "As the philosophical reputation of Charles S. Peirce continues to rise to first-tier prominence in the history of American philosophy, Ivo Ibri’s Kósmos Noetós assumes a unique status in both a pioneering and a magisterial work of transcontinental Peirce scholarship. This original work of this internationally renowned scholar and editor, and Professor of Philosophy at the Pontifical Catholic University of San Paulo, penetrates to the heart of Peirce’s architectonic system of phenomenological, metaphysical, and semiotic categories which heuristically characterize our world as “a universe perfused with signs.” Ibri’s own synergistic commentary on the radiating registers of Peirce’s cosmogonically and pragmatistically conceived “one intelligible theory of the universe” also instructively contributes to the illumination of significant nodes of interface with a range of relevant theoretical trends in the contemporary academy; as well, it places Peirce in the company of such thinkers as Plato, Aristotle, Plotinus, Kant, and Schelling who preceded Peirce in providing a legacy of first-tier reasoning on our intelligibly developing world. Kosmos Noetos impresses as Ibri’s pure, lucid, passionately thought-loving, philosophical articulation of his own and as the indispensable prolegomena to all future Peirce studies." David Dilworth, State University of New York at Stone Brook – USA "Ivo Ibri has offered us in this exquisite work a framing of the inner logic of Charles S. Peirce's core metaphysical vision and its existential implications. It is a deep and nuanced exploration of the internal dynamics of Peirce’s central metaphysical categories, developed through rigorous and detailed attention to the evolution of Peirce’s thought on the ‘vitally important topics’ of the appearing, the reality, and the intelligibility of the world. The two-leveled format of the book, an intricate weaving of Peirce’s texts and discursive elaboration and linkage by Ibri, gives it a distinctive feel and is the bedrock of its value. The book is a remarkable combination of presentation and analysis. It is informed by Ibri’s deep philosophical culture and is a gentle and convincing argument for the centrality of metaphysics in understanding Peirce’s thought. It offers in a new way indispensable suggestions for our own attempts to think about our places in an evolving universe with the aid of Peirce and offers threads of thought to be followed up by others." Robert E. Innis, University of Massachusetts Lowell – USA. (shrink)

We investigate complex algebras of the form arising from a frame where, and exhibit their abstract algebraic and logical counterparts.

Proofs from assumptions are amongst the most fundamental reasoning techniques. Yet the precise nature of assumptions is still an open topic. One of the most prominent conceptions is the placeholder view of assumptions generally associated with natural deduction for intuitionistic propositional logic. It views assumptions essentially as holes in proofs, either to be filled with closed proofs of the corresponding propositions via substitution or withdrawn as a side effect of some rule, thus in effect making them an auxiliary notion subservient (...) to proper propositions. The Curry–Howard correspondence is typically viewed as a formal counterpart of this conception. I will argue against this position and show that even though the Curry–Howard correspondence typically accommodates the placeholder view of assumptions, it is rather a matter of choice, not a necessity, and that another more assumption-friendly view can be adopted. (shrink)

We introduce and study a class ofbetweenness algebras—Boolean algebras with binary operators, closely related to ternary frames with a betweenness relation. From various axioms for betweenness, we chose those that are most common, which makes our work applicable to a wide range of betweenness structures studied in the literature. On the algebraic side, we work with two operators ofpossibilityand ofsufficiency.

Natural law as a discipline was definitively institutionalized at universities in the Habsburg monarchy during the reforms of Maria Theresia after 1752. The guiding principles of these reforms were set in the instruction for the chair of natural law in Vienna which was given to Carl Anton Martini. It was Catholic in conception, but it ordered the professor to draw on Grotius. Our article reconstructs the elementary structure of Martini’s theory of natural law with a focus on his conception of (...) state. The article proves that Martini did not adopt Wolff’s conception of deducing duties and obligations from the highest principle for that would conflict with the Catholic emphasis on freedom of will. Instead of that, Martini derived duties and rights from the three God-given ends. Martini perceived the state as based on social contract, after the model of Christian Wolff. However, it seems that Martini rejected the two-contract model and acknowledged only the contract of submission as binding. Martini sought to hold the middle ground between Machiavellians arguing that the subjects lose all rights after the social contract, and radical ‘monarchomachs’ who believe that the ‘populus’ retains the supreme power. Martini argues that the ruler is limited by natural laws; the subjects retain rights to life and to property, but they are denied any right to resistance. Since Martini derived the monarch’s powers from the unlimited duty to guarantee security, he admitted even encroachments on religious freedom. He admitted coercion in matters that would threaten salus civitatis, but respected the inner libertas conscientiae. He also acknowledged a peculiar division of powers differentiating between a legislative, an inspectorial and an executive power. Even though the aim of this division was not a system of checks and balances, a precise description of the scope of the executive power helped to delimit a sphere of individual freedom. (shrink)

In die Geschichte sind Franz Josef Graf von Thun (1734-1801) und seine Frau Wilhelmine (1744-1800) als Gonner des Geniemusikers Wolfgang Amadeus Mozart eingegangen. Der "sonderbare Cavalier", wie er von Mozart genannt wurde, war seinen Zeitgenossen eher als Geisterbeschworer und Magnetiseur, denn als Musikliebhaber und Schriftsteller bekannt. Erst 2009 tauchte im Familienarchiv Thun-Hohenstein das Manuskript der umfangreichen esoterischen Enzyklopadie auf, in der Graf von Thun seine Ansichten uber den Menschen, uber das Weltall und uber die Franzosische Revolution darlegt. Ivo Cerman stellt (...) hier die Philosophie des Grafen vor dem Hintergrund des Illuminismus des 18. Jahrhunderts vor und ediert die wichtigsten Artikel seiner esoterischen Enzyklopadie. Auf der Grundlage dieser gerade entdeckten wichtigen Quelle kann die Frage nach dem Verhaltnis zwischen Aufklarung und Illuminismus neu beantwortet werden. (shrink)

This essay focuses on the concept of consciousness in C. S. Peirce’s work, revealing how its ways of being are associated with the three Peircean phenomenological categories. In this article, I intend to reflect on the heuristic power of the mind, namely, its ability to bring about new ideas, which, within Peirce’s logic of inquiry, is called by the well-known term of abduction. The abductive logical step promotes a synthesis of signs that constitutes a logical structure capable of proposing a (...) new mediation or representation of a new phenomenon. I make use of a metaphorical passage from Peirce not only to give the title to this essay, but also to highlight the importance of the first category as a sort of synechistic envelopment of an unprecedented logical structure of signs that composes a new synthesis. Two continua intertwine themselves, namely, those of the first and third categories, to account for what appears as a fact of the world in the theater of secondness. The essay also seeks to bring to light the core realism of Peirce’s philosophy, the genetic aspect of this bottomless lake, through its cosmology, where the generalization of forms and the acquisition of habits of reality are the proper ground of his Objective Idealism. One of the heuristic aspect of the lake metaphor is a sort of invitation to extend the concept of synthesis from the realm of logical structures to that one of arts, which in this essay will remain as a suggestion for a further reflection. (shrink)

ABSTRACT Two objects o1, o2 of an information system are said to be complementary with respect to attribute a if α(o1) = -α(o2), where α(o) is the set of values of attribute a assigned to o. They are said to be complementary with respect to a set of attributes A if they are complementary with respect to each attribute α ε A. A multi-modal logical language for reasoning about complementarity relations is presented, with modalities [A] and ?A? parameterised by subsets (...) of a given set ATTR of attributes. Two complete deduction system for the language are presented: a Rasiowa-Sikorski style system using signed formulae, and an equivalent sequent calculus system in Gentzen style complete for theories. (shrink)

Based on Alasdair Urquhart’s representation of not necessarily distributive bounded lattices we exhibit several discrete dualities in the spirit of the “duality via truth” concept by Orłowska and Rewitzky. We also exhibit a discrete duality for Urquhart’s relevant algebras and their frames.

The designation of Diego Maradona’s ‘handball’ goal, that it was an intervention by God himself, brings the phenomena of sport and religion into an interrelationship. The basic thesis of this paper is that, despite many of their phenomenal similarities, explicit religion is not, and cannot be, substantially related to sport, as the two manifest themselves in different ways of being. This thesis is supported by arguments from three philosophical areas: 1. The ontological dimension of the manifestation of the sacred in (...) the profane through the process of hierophany in sport does not refer to a specific deity or God, and is therefore not a presentation but an indirect representation of the sacred; 2. The epistemological perspective of the intentional relation of consciousness to religious ritual justifies the necessity of situating them in an overall horizon of references and meanings to the horizon of the lifeworld; 3. The existential and experiential aspects of transformative sport experiences transform the horizon of meanings of empirical reality, but lack the sacramental perspective. Implicit religion as a possibility of transition on a continuum of complementary existential states is a suitable explicative framework for analyzing the phenomenal similarities and essential differences of religion and sport. (shrink)

Before examining de Moivre's contributions to the science of mathematics, this article reviews the source materials, consisting of the printed works and the correspondence of de Moivre, and constructs his biography from them. The analytical part examines de Moivre's contributions and achievements in the study of equations, series, and the calculus of probability. De Moivre contributed to the continuing development from Viète to Abel and Galois of the theory of solving equations by means of constructing particular equations, the roots of (...) which can be written in the form $$\sqrt[n]{{a + \sqrt b }} + \sqrt[n]{{a - \sqrt b }}$$. He also discovered the reciprocal equations. In the course of this work de Moivre discovered an expression equivalent to (cos α+i sin α) n =cos n α+i sin n α and, following Cotes, he succeeded in expressing the nth roots of unity in trigonometric form. In the theory of series, de Moivre developed a polynomial theorem encom-passing Newton's binomial theorem and, in particular, a theorem of recurrent series useful in the calculus of probability. The demands of the calculus of probability led de Moivre to an approximation for the binomial coefficients $$\left( {_m^n } \right)$$ for large values of n. The interaction between de Moivre and James Stirling, particularly in regard to the asymptotic series for log (n!), is treated at length. This work supplied the foundation for de Moivre's limit theorem for the binomial distribution. The calculus of probability, which occupied him from 1708 onward, became in time ever more the center of de Moivre's inquiries. Proceeding from contemporary collections of gambling exercises, de Moivre, by introducing an explicit measure of probability for the so-called Laplace experiments, found the beginnings of a theory of probability. De Moivre expanded the classic application of probability calculus to games of chance by addressing himself to the problem of annuities and by adopting Halley's work with its conception of “Probability of life”. De Moivre was the first to publish a mathematically formulated law for the decrements of life derived from mortality tables. (shrink)

Resumo: Neste trabalho procuraremos mostrar como se conciliam, no interior da obra do filósofo norte-americano Charles S. PEIRCE , realismo e idealismo, à luz da construção de sua metafísica. Este ponto que consideramos fulcral para o entendimento de uma série de outras doutrinas correlatas, tem sido mal compreendido ou equivocadamente formulado pela grande maioria dos comentaristas que, não adentrando a genealogia das doutrinas metafísicas peirceanas, procuram, sem sucesso, a partir de um ponto de vista cartesiano, seja antropocêntrico, a conciliação da (...) simultaneidade realismo-idealismo no pensamento do autor.: In this essay we will be trying to show realism and idealism are conciliated, within the work of the North American philosopher Charles S. PEIRCE , under the lights of his metaphysical construction. This point that we consider essential to the understanding of a set of other doctrines has been misunderstood or formulated in an equivocal way by a great amount of commentators, whose approach of the question does note take into account the peircean genealog. (shrink)

We characterize rings over which every cotorsion module is pure injective in terms of certain descending chain conditions and the Ziegler spectrum, which renders the classes of von Neumann regular rings and of pure semisimple rings as two possible extremes. As preparation, descriptions of pure projective and Mittag–Leffler preenvelopes with respect to so-called definable subcategories and of pure generation for such are derived, which may be of interest on their own. Infinitary axiomatizations lead to coherence results previously known for the (...) special case of flat modules. Along with pseudoflat modules we introduce quasiflat modules, which arise naturally in the model-theoretic and the category-theoretic contexts. (shrink)

Por mente resiliente, quero dizer a capacidade de toda mente de lidar com a dureza da alteridade, que exige um esforço contínuo para permitir o desenvolvimento de hábitos de conduta. O predicado da resiliência vem da capacidade da mente de se autocorrigir, cada vez que esses hábitos perdem sua eficiência mediativa, exigindo, portanto, a reconstrução de novas mediações cognitivas como hábitos de ação. Neste artigo, proponho refletir sobre o conjunto de interpretantes semióticos proposto por Peirce com o objetivo de explorar (...) sua faceta habitual. Com esta linha de análise, pretendo mostrar que a resiliência é uma propriedade necessária que toda mente deve ter no mais alto grau para lidar com o conflito entre interpretantes emocionais e lógicos, onde a predominância do primeiro em detrimento do segundo pode gerar situações agudas de sofrimento psicológico bloqueando o acesso a representações que, de outra forma, poderiam romper a força bruta da alteridade. (shrink)

Doctrinally, a precedent is a case of the same or higher court that furnishes an authoritative rule for the determination of the case at hand, either because the facts are alike, or, if the facts are different, because the principle that governed the first case is applicable to the different facts. In this article I try to free precedent form the dominant doctrinal view by offering a more intuitive conception: that to be precedent means to be treated as precedent. Put (...) differently, I attempt to see precedent not as descriptive of a previous decision or rule but as the aggregate effect of responses to one or a series of court decisions in the legal community. I illustrate this viewpoint by developing a version of a response-dependent concept that incorporates our intuitive grasp of how precedent works. In the pursuit of this task I rely on the basic philosophical premises of response-dependence theory and on one paradigmatic response-dependent concept—the quality of being funny. (shrink)

The article makes a study of the few explicit references to India or the East in Lonergan and goes on to indicate points of resonance between. Lonergan and Indian thought. Lonergan is convinced that the structure of human consciousness is transcultural at its core, but he also acknowledges that human consciousness unfolds differently in different cultures. The transcultural element forms the basis of Lonergan s method, and with the variant element it also forms an 'upper blade' or theoretical anticipation with (...) which to approach the 'lower blade' consisting of the data to be studied. The article ends with a brief note on possible applications of the method. /// O presente artigo consiste num estudo das poucas referências explícitas à índia ou ao Oriente que se encontram na obra de Lonergan, procedendo depois a uma indicação dos pontos de ressonância entre Lonergan e o pensamento da Índia. Lonergan está convencido de que a estrutura da consciência humana é basicamente transcultural, embora ele também reconheça que a consciência humana se desenvolve diferentemente nas diferentes culturas. O elemento transcultural constitui a base do método de Lonergan, o qual junto com o elemento variável forma uma espécie de "lâmina superior" ou antecipação teórica com a qual nos podemos aproximar da "lâmina inferior" constituída pelos temas a serem estudados. O artigo termina com uma breve nota acerca das possíveis aplicações do método. (shrink)

We investigate the join semilattice of modal operators on a Boolean algebra B. Furthermore, we consider pairs ⟨f,g⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\langle f,g \rangle $$\end{document} of modal operators whose supremum is the unary discriminator on B, and study the associated bi-modal algebras.