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)

The main objective of this paper is to sketch unifying conceptual and formal framework for inference that is able to explain various proof techniques without implicitly changing the underlying notion of inference rules. We base this framework upon the so-called two-dimensional, i.e., deduction to deduction, account of inference introduced by Tichý in his seminal work The Foundation’s of Frege’s Logic (1988). Consequently, it will be argued that sequent calculus provides suitable basis for such general concept of inference and therefore should (...) not be seen just as technical tool, but philosophically well-founded system that can rival natural deduction in terms of its “naturalness”. (shrink)

Tradução do comentario tomista ao "De Hebdomadibus" de Boécio.

In this paper, we consider the ex falso quodlibet rule (EFQ) as a derived rule and propose a new justification for it based on a rule we call the collapse rule. The collapse rule is a mix between EFQ and disjunctive syllogism (DS). Informally, it says that a choice between a proposition A and ⊥, which is understood as nullary disjunction, is no choice at all and it defaults to A. Thus, we can regard it as capturing the idea of (...) an implosion principle in contrast to EFQ’s explosion principle. Furthermore, we show that the collapse rule can also be used to justify DS and that all these three rules have the same deductive strength: they are all interderivable. Thus, the discussions about the justification of EFQ or DS be reduced to a discussion about the justification of the collapse rule. (shrink)

Background: Spirituality has always been present in the history of nursing and continues to be a topic of nursing interest. Spirituality has ancient roots. The term ‘spirituality’ is interpreted as spirit and is translated as breath and soul, whereas spirituality (immateriality) is spiritual nature. Historically, the term spirituality is associated with the term religiosity, a definition that persists today, and often the two terms are used interchangeably. In the healthcare context, the construct is still. Objective To clarify the concept of (...) spirituality in nursing. Research design In this article spirituality was explored using Rodgers' evolutionary and inductive method of concept analysis. Participants and research context For this analysis, a sample of 71 articles published in English, from 2008 to 2018 from PubMed/Medline, CINAHL Plus with full text, PsycINFO, SciELO databases were retrieved. It was also accomplished an empirical search of dictionaries and e-books. Ethical considerations This study was conducted according to good scientific practice. Findings It emerged that “spirituality” is a dynamic process and has a range of attributes. The cultural dimensions, the religious and spiritual traditions, the ethnic diversity and the influence of the historical and social contexts represent the societal and historical conditions ingrained in the Western thought that influence the emergence of spirituality as a concept. Antecedents, attributes and onsequences appeared to inform and strengthen one another over time. Spirituality is a significant concept for the discipline of nursing with profound consequences for caring patients and for work organizations. (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)

We present two discrete dualities for double Stone algebras. Each of these dualities involves a different class of frames and a different definition of a complex algebra. We discuss relationships between these classes of frames and show that one of them is a weakening of the other. We propose a logic based on double Stone algebras.

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

The article presents a unique interpretation of Kant’s philosophical development by exploring the relationship between dialectics and criticism. The conceptual analysis of peculiar propositions in some of the philosopher’s early writings reveals essential dialectical insights that lead to critical thinking. The text interprets Kant’s critical methodology from a historical-philosophical and hermeneutical perspective, highlighting its transcendental form of development. Kant’s philosophical development is characterized by the transcendental evolution, which confirms and expands upon the methodological thesis of a necessary transition from the (...) pre-critical dialectics to the philosophical critique. (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)

In Transparent Intensional Logic we can recognize two distinct notions of computation that loosely correspond to term rewriting and term interpretation as known from lambda calculus. Our goal will be to further explore these two notions and examine some of their properties.

Kosta Došen argued in his papers Inferential Semantics (in Wansing, H. (ed.) Dag Prawitz on Proofs and Meaning, pp. 147–162. Springer, Berlin 2015) and On the Paths of Categories (in Piecha, T., Schroeder-Heister, P. (eds.) Advances in Proof-Theoretic Semantics, pp. 65–77. Springer, Cham 2016) that the propositions-as-types paradigm is less suited for general proof theory because—unlike proof theory based on category theory—it emphasizes categorical proofs over hypothetical inferences. One specific instance of this, Došen points out, is that the Curry–Howard isomorphism (...) makes the associativity of deduction composition invisible. We will show that this is not necessarily the case. (shrink)

Starting from the exposition of the fundamental guiding principles of Peirce's philosophy, mainly, its three categories viewed under his Phenomenology and its correlated Ontology, I conjecture about three possible dimensions of Time, considering the function of predicting the future course of events with varying degrees of certainty as the main role of our human rationality. In these three dimensions, the affection of the first of the three Peircean categories occurs with differentiated intensity, this first category precisely the one that includes (...) the way of being of the incidence of Chance, either in the course of a natural Chronos, or in the course of a temporality produced by human actions, or also equally having incidence in the spontaneity of a subjective time, assumed here as Kairós. Inspired by the recent experience of the pandemic that devastated all corners of the planet, this conjecture suggests dimensions of a temporality frayed ontologically in different degrees, leading to a corresponding fraying of our predictive rationality, imposing upon us the condition of being characters who are left to bet on the course of future factuality to the detriment of choices that would be feasible if a history circumscribed by an intense incidence of Chance had not occurred. Keywords: Peirce, Pragmatism, Semiotics, Chance, Time. (shrink)

Proof-Theoretic Semantics, by FrancezNissim. London: College Publications, 2015. Pp. xx + 415.

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)

Charles S. Peirce Society 2016 Presidential Address Peirce never could finalize a book or publish it and especially no book on the aesthetic basis of pragmaticism. This is not only a historical note, but has a deeper meaning. It arouses in the attentive reader a strong desire to do what Peirce himself did not have the chance to do: to find a way of linking together his hints and clues in such a way that respects the spirit of his work (...) and not just its letter. This practice of apprehending the spirit is successful, I believe, when, on the one hand, we familiarize ourselves with the author’s text and, on the other, perhaps more importantly, when we initiate this apprehension because the text arouses a feeling of... (shrink)

Is there a poetic ground in Peirce's philosophy? While this question may sound interesting, it is somehow odd, as Peirce is well–known as a logician, and it is also known by scholars that he was not an expert in poetry, literature, art, or even theories concerning art in general. This paper hypothesizes that there is a starting point in his philosophy that is poetical in its nature. Moreover, Peirce's system is obviously logical in its form, but also keeps the spirit (...) of the original silent feeling of poetry that seems to have fascinated him. Also, I claim there is a Schellingian heritage in Peirce's philosophy that is partially responsible for that poetic starting point. This idea also has, as a support, the supposition that a realistic view of the world provides a hypothesis of symmetry between the human and natural worlds, which provides the basic form for his ontological theories and for the theoretical harmony among Peirce's doctrines. This quality of Peirce's philosophy is a kind of a Greek beauty that is only evident for those who can view his thought not in fragments but as a complex system that has the potency of not only answering classical philosophical questions, but also of giving rise to a new philosophy which needs to be further developed. (shrink)

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)

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)

In this paper we examine two approaches to the formal treatment of the notion of problem in the paradigm of algorithmic semantics. Namely, we will explore an approach based on Martin-Löf’s Constructive Type Theory, which can be seen as a direct continuation of Kolmogorov’s original calculus of problems, and an approach utilizing Tichý’s Transparent Intensional Logic, which can be viewed as a non-constructive attempt of interpreting Kolmogorov’s logic of problems. In the last section we propose Kolmogorov and CTT-inspired modifications to (...) TIL-based approach. The focus will be on non-empirical problems only. (shrink)