This instructor's manual, to accompany Applied Logic, contains answers to the exercises found in the text and a workbook useful for preparing students for exams. The text itself presents logic as a relevant tool for interpreting arguments, not simply as an abstract discipline such as mathematics or physics. Through English-language arguments that are debated today—health care, economic problems, AIDS, and so on—the author strives to give students an appreciation of logic's applicability. This book will be of interest to those teaching (...) elementary logic. (shrink)

In [6] I tried to show how an objection to “the nominalist's” analysis of “This is red” and “That is red” on the basis of “the doctrine of common names” might be overcome. The objection is that “the nominalist,” attempting to analyze and by construing the pronouns in these sentences as two different proper names and “red” as a common name, is forced thereby to construe the copula in both sentences as the “is” of identity, and hence this and that (...) are identical, i.e., that there is only one red spot and not two. I attempted to show that by using Leśniewski's original axiom of ontology “the nominalist” could construe the pronouns in and as proper names, and “red” as a common name without taking the copula to express identity; he would not be forced to identify this with that. (shrink)

This article presents for the first time in english lesniewski's analysis of russell's antinomy as the analysis is given in lesniewski's 1914 paper "czy klasa klas, nie podporzadkowanych sobie, jest podporzadkowana sobie?" is the class of classes which are not subordinate to themselves subordinate to itself? it is shown how the concepts appearing in this paper, written in colloquial polish, were later incorporated and expressed as fundamental axioms and theorems of his theory of collective classes, mereology. in the 1914 paper (...) he asserted: i call any object p an object subordinate to a class k if in some sense of the expression "a" the following two conditions hold: 1) k is a class (of objects) "a", 2) p is an "a". using this explication of "p is subordinate to a class k," he showed that both of the following statements are false: a) the class of classes which are not subordinate to themselves is subordinate to itself, b) the class of classes which are not subordinate to themselves is not subordinate to itself; thus showing that russell's antinomy cannot be generated since its initial assumptions are false. (shrink)

During 1927-1931 Leśniewski published a series of articles (169 pages) entitled 'O podstawach matematyki' [On the Foundations of Mathematics] in the journal Przeglad Filozoficzny [Philosophical Review], and an abridged English translation of this series is presented here. With the exception of this work, all of Leśniewski's publications appearing after the first World War were written in German, and hence accessible to scholars and logicians in the West. This work, however, since written in Polish, has heretofore not been accessible to most (...) Western readers, and it is hoped that this translation will encourage both the study of Leśniewski's works as well as the further development of his theories. (shrink)

Applied Logic presents logic as a relevant tool for interpreting arguments, not simply as an abstract discipline such as mathematics or physics. Through English-language arguments that are debated today—health care, economic problems, AIDS, and so on—the author strives to give students an appreciation of logic's applicability. An appendix provides answers to selected exercises. Applied Logic and the Instructor's Manual will be of great value to those teaching elementary logic.

Hence, the title The Heritage of Kazimierz Ajdukiewicz seems to reflect the general idea of this collection. Most papers collected here were specially ...

The book examines the life and the writings of Gabriele Biondo, a secular priest who lived in the little town of Modigliana between the second half of the fifteenth century and the first decades of the sixteenth century. Through a careful examination of his writings and the sources he used, this book allows the reader to obtain a more precise understanding of Biondo, his background, his life, his movements, the difficulties that he encountered (mainly with the ecclesiastical authorities and the (...) other members of the clergy, but also with civic leaders), and the main events of his life. Additionally, Biondo was the leader of a minor following formed by nuns, secular women, and laymen. Therefore, this book illustrates Biondo’s pastoral activity, the ideas and principles that supported his actions, and the objectives he was pursuing. Given these various objectives, this book is of interest to those scholars and academics interested in the religious tensions that swept through Europe in the years immediately preceding the Protestant Reformation and who, consequently, seek to investigate Biondo’s personal and complex answer to these tensions. (shrink)

This memoir consists of two parts, of which the first deals with the foundations of the theory of the struggle for existence, and begins with the introduction of the important concept of quantity of life, besides that of population. The fundamental equations are then established for the case where the individuals of a biological association mutually devour each other, the reasoning being based on the principle of encounters and on the fundamental hypothesis of the existence of equivalents of the individuals (...) constituting the different species which form the association.Having now obtained the equations which determine the rates of change of the numbers of individuals and of the quantities of life of the species, the memoir proceeds to find the equations relating to the stationary state, by establishing theorems which are afterwards applied for the purpose of obtaining the three general laws of the fluctuations. This investigation of the equilibrium state is then followed by the determination of the integrals of the fluctuation equations, and the deduction from these of their most important consequences.The second part of the memoir contains the enumeration and demonstration of the general laws of the struggle for existence, which flow from the discussion of the principles and the integrals obtained in the first part. In this way there is established a new sort of dynamics, demographic dynamics, which, though substantially different from the dynamics of material systems, is developed from an analogous point of view.The second part begins with the principle of the conservation of demographic energy, according to which there are two sorts of energy, one actual and one potential, which transform mutually the one into the other. This principle is the analogue of the principle of conservation of mechanical energy. It is followed by the enunciation of the three laws relating to the biological fluctuations, the experimental verification of which has been investigated by several naturalists. The success which has attended their efforts is well known.Everybody knows the importance ofHamilton's principle in mechanics and in all the domains of physical science. An analogous variation principle can be found in biology, and from it one can deduce the fluctuation equations in the canonical Hamiltonian form and also in the form of a Jacobian partial differential equation. Their integrals in involution from the subject next studied, and in this way are found cases where the integration is reducible to quadratures.Hamilton's principle leads to the principle of least action . There exists also in biology a closely related principle, which may be called the principle of least vital action. Its analytical form is such that it requires the existence of a true minimum, a state of affairs which does not always hold good in the analogous case in mechanics.Die Abhandlung besteht aus zwei Teilen: Der erste ist den Grundlagen der Theorie des Kampfes ums Dasein gewidmet. Man beginnt damit, neben der Bevölkerung die Menge des Lebens einzuführen, welche eine sehr wichtige Rolle spielt. Man geht dann dazu über, die Grundgleichungen für den Fall aufzustellen, in welchem die Individuen einer biologischen Assoziation sich gegenseitig auffressen. Man wendet das Prinzip der Begegnungen an und stützt sich auf die Grundhypothese der Existenz von Individuenäquivalenten der verschiedenen Arten, welche die Assoziation bilden.Wenn man die Gleichungen, welche die Variationen der Individuenzahlen und der Lebensmengen der Arten liefern, gefunden hat, so schreitet man zu den statischen oder Gleichgewichtsgleichungen fort und findet so die Theoreme, die man alsdann benutzt, um die drei allgemeinen Gesetze der Fluktuationen zu erhalten.Nach dem Studium des Gleichgewichtes geht man dazu über, die verschiedenen Integrale der Fluktuationengleichungen zu finden und zieht endlich aus ihnen die wichtigsten Folgerungen.Im zweiten Teile werden die allgemeinen Gesetze des Kampfes ums Dasein, welche aus der Diskussion der Prinzipien und der im ersten Teil gewonnenen Integrale stammen, ausgesprochen und bewiesen. Man baut so eine neue Dynamik auf: die demographische Dynamik, welche, obschon sie wesentlich verschieden von derjenigen der materiellen Systeme ist, sich nach einem analogen Gesichtspunkt entwickelt.Man beginnt in diesem zweiten Teil mit dem Prinzip der Erhaltung der demographischen Energie, nach welchem zwei Energien, die aktuelle und die potentielle, sich ineinander verwandeln. Wir haben hier eine Analogie zum Prinzip der Erhaltung der mechanischen Energie. Dann werden die drei Gesetze der biologischen Fluktuationen formuliert. Für sie haben verschiedene Naturforscher experimentelle Bestätigungen gesucht. Man kennt den Erfolg ihrer Bemühungen.Alle Welt kennt die Bedeutung des Prinzips vonHamilton in der Mechanik und in allen Gebieten der Physik. Man kann ein dem Variationskalkül analoges Prinzip in der Biologie finden. Aus ihm kann man die Fluktuationsgleichungen in der kanonischen Form vonHamilton und in der Gestalt einer Gleichung mit partiellen Differentialquotienten vonJacobi herleiten. Ihre Integrale bilden den Gegenstand der folgenden Studien. Man findet Fälle, in denen die Integration sich auf Quadraturen reduziert.Das Prinzip vonHamilton zieht das Prinzip der kleinsten Wirkung oder das Prinzip vonMaupertuis nach sich. Auch in der Biologie gibt es ein mit dem vorgenannten zusammenhängendes Prinzip, welches man das Prinzip der kleinsten vitalen Wirkung nennen kann. Seine analytische Form ist derart, dass es sich um ein wahres Minimum handelt, das im analogen Fall in der Mechanik nicht immer zutrifft. (shrink)

The development of the various themes of Catholic Social Teaching is based on numerous papal documents and ecclesiastical statements. While this paper provides a summary of a number of these documents, this paper focuses on two themes: the common good and care of the environment, and on three documents authored by Pope John Paul II in 1990, by Pope Benedict XVI in 2010, and by Pope Francis in 2015. By analyzing these documents from an engineer’s perspective, the author proposes a (...) model for Socially Responsible Engineering. The proposed model is intended to serve as a guide for engineering students and practicing engineers of all faith traditions and to those with no faith tradition at all who wish to incorporate CST in the daily conduct of their personal and professional lives; to provide guidance for the professional the author terms the aspiring Socially Responsible Engineer; and to offer engineers a preferred alternative to the undesirable aspects of the technocratic paradigm. While intended primarily for engineers, this document also serves as a guide for those with expertise in social justice and who, by gaining a better understanding of the thought processes of engineers, can become better mentors for engineering students and practicing engineers seeking to incorporate CST into their daily lives. (shrink)

Vito Tanzi offers a truly comprehensive treatment of the economic role of the state in the twentieth and twenty-first centuries from a historical and world perspective. The book addresses the fundamental question of what governments should do, or have attempted to do, in economic activities in past and recent periods. It also speculates on what they are likely or may be forced to do in future years. The investigation assembles a large set of statistical information that should prove useful (...) to policy-makers and scholars in the perennial discussion of government's optimal economic roles. It will become an essential reference work on the analytical borders between the market and the state, and on what a reasonable 'exit strategy' from the current fiscal crises should be. (shrink)

Occupying the increasingly thin line that separates legitimate appropriation from plagiarism, remix practice raises significant ethical issues. The issue is rendered more complicated by the fact that this line frequently shifts, both in academic debates and in legal. If in large Western nations remix practice is widely considered legitimate, it is still considered necessary to add something personal to one’s sources, and if at all possible to enrich those sources in some way. This is usually considered sufficient to avoid misappropriating (...) someone else’s intellectual work. In the last few years, various legal actions in the EU and the USA have revealed a significant gap between this apparently moderate position, and the position of legislators. The purpose of this paper is to take a look at some of the most controversial positions on the issue of ‘remix ethics’, attending more closely to aesthetic implications than to political consequences. (shrink)

2Public space is an old habit. The words public space are deceptive; when I hear the words, when I say the words, I’m forced to have an image of a physical place I can point to and be in. I should be thinking only of a condition; but, instead, I imagine an architectural type, and I think of a piazza, or a town square, or a city commons. Public space, I assume, without thinking about it, is a place where the (...) public gathers. The public gathers in two kinds of spaces. The first is a space that is public, a place where the public gathers because it has a right to the place; the second is a space that is made public, a place where the public gathers precisely because it doesn’t have the right—a place made public by force.3In the space that is public, the public whose space this is has agreed to be a public; these are people “in the form of the city,” they are public when they act “in the name of the city.” They “own” the city only in quotes. The establishment of certain space in the city as “public” is a reminder, a warning, that the rest of the city isn’t public. New York doesn’t belong to us, and neither does Paris, and neither does Des Moines. Setting up a public space means setting aside a public space. Public space is a place in the middle of the city but isolated from the city. Public space is the piazza, an open space separated from the closure of alleys and dead ends; public space is the piazza, a space in the light, away from the plots and conspiracies in dark smokey rooms. Vit Acconci’s latest show, entitled “Public Places,” was held in 1988 at the Museum of Modern Art, New York. He is currently at work on a park in Detroit, a pedestrian mall in Baltimore, and a housing project in Regensburg, Germany. (shrink)

The practices of outstanding schools selected through the U.S. Department of Education's Blue Ribbon School of Excellence recognition program. Short articles describe the specific practices that led to excellence. Both Vol. 1: Elementary and Middle Schools and Vol. 2: Middle and Secondary Schools offer a rich resource of successful practices.

Throughout its history the Game was closely allied with music, and usually proceeded according to musical or mathematical rules. One theme, two themes, or three themes were stated, elaborated, varied, and underwent a development quite similar to that of the theme in a Bach fugue or a concerto movement.… Experts and Masters of the Game freely wove the initial theme into unlimited combinations [p. 30].

The rise of the idea of the Anthropocene is promoting multiple reflections on its meaning. As we consider entering this new geological epoch, we realize the pervasiveness of humankind’s deconstruction and reconstruction of the Earth, in both geophysical and discursive terms. As the body of the Earth is marked and reshaped, so is its idea. From a hostile territory to be subjugated and exploited through sovereign commands, the Earth is now reframed as a vulnerable domain in need of protection. The (...) mode of sovereignty, which has accompanied human and legal history and practice during modernity and its project of mastery, is no longer useful. Humanity’s control of the Earth is being reimagined and reconfigured along biopolitical coordinates of thought and action. Biopolitics shifts the focus of power, changes its modalities of interventions, and rearticulates its legitimacy on the idea of taking responsibility for the Earth, for nature. A biopolitical re-orientation of law captures the fundamental aim of caring for nature, of fostering its vital possibilities and of enhancing its productive potential. Yet, biopolitics engulfs nature in its entirety under its framework of control, where protection and subjugation, vulnerability and productivity, life and death are constantly entangled in a reciprocal and inevitable relation of indistinguishability. Sovereignty becomes thus a key modality of biopolitical intervention, when nature is recalcitrant, wild, spontaneous, unpredictable, violent, dangerous. Biopolitics, thus, remains caught in an undecidable dilemma, where in order to protect the Earth, it must subjugate it; to save it, it must condemn it. In this respect, biopolitics remains utterly modern, or as argued by Roberto Esposito, modernity has always been biopolitical, insofar as modernity has emerged as a framework for the protection of life against life’s own excesses. But how can we escape the biopolitical reframing and enframing of the Earth and its total subsumption under its matrix of control? How can we rethink the encounter between law and nature without remaining entangled in the aporetic dilemma of biopolitics? An aesthetics of wonder may offer a way. (shrink)

In the debate on causal explanation in biology, in the past two decades largely influenced by the new mechanist approach, the concept of a pathway has recently reemerged as a promising research agenda, 551-572, 2018; The British Journal for the Philosophy of Science, 72, 131-158, 2021). Ross’ account of biological explanation differentiates several autonomous types of causal structures that play explanatory and other roles across the life sciences. NM, however, prioritizes mechanisms as vehicles of biological explanations. According to this program, (...) the causal architecture of biological pathways and other causal structures, such as cascades and processes, can be interpreted with at least one of the NM’s mechanism concepts. In other words, these alternative causal structures are not sufficiently distinctive to merit the explanatory autonomy with regard to the NM corresponding concepts. We examine the explanatory practice of molecular biology and concur with Ross that there are indeed distinct types of causal structures, not all falling under the concept of a mechanism. Nonetheless, we show that the concept of mechanism is referring to a privileged causal structure, at the center of explanatory efforts in molecular biology. Pathways and other causal concepts, while somewhat distinct from mechanisms themselves, are explanatorily relevant to the degree in which they exhibit mechanistic features, are parts of a mechanistic architecture, or may lead to a mechanistic arrangement. What emerges in that manner is a hierarchy of causal structures with mechanisms at the explanatory top, and lower levels differing in the degree in which they contribute to mechanistic arrangements. (shrink)

This paper discusses, within the context of analytical theory, some of the implications when rape is subsumed within the international crime of genocide and concludes that this type of enquiry is essential for creating a clearer framework to address and understand this violation. From the analysis undertaken, two critical questions become apparent: a) Does compatibility exist when rape is subsumed within the category of a group violation (genocide), if rape is constructed as a violation of an individual’s sexual autonomy? i (...) b) Is the link between rape and genocide necessarily problematic within this notion of autonomy for the individual victim of rape? The process unfolds within an analytical theoretical approach that touches upon the current concept of human rights with its focus on the individual. Although the key element is the individual, the concept of human rights also creates a space, albeit limited and at times controversial, for the group. As such, this paper identifies some of the theoretical implications that emerge once rape is subsumed within the international crime of genocide, which is defined as a violation committed against particular groups. (shrink)

In recent years, digital tools, such as WhatsApp, have been increasingly deployed to support group interaction and collaboration in higher education contexts. To understand contemporary, digitally-mediated collaborative dynamics – including the role played by tutors and the situated nature of group development – robust and innovative methodologies are needed. In this paper, we illustrate how integrating qualitative methods with quantitative tools used in qualitative ways makes it possible to trace how tutors adapt their style to support group development, which in (...) turn triggers student development in a circular and responsive process. To make visible this contemporary phenomenon, we combine thematic content analysis – a qualitative tool – with a quantitative method: Social Network Analysis. Drawing on data generated by two WhatsApp learning groups in research exploring the collaborative construction of boundary objects in a master’s level “E-learning Psychology” course, we suggest that our methodological approach has the potential to support interrogation of complex and dynamic digitally-mediated group interactions. Our results show the situational nature of an effective tutorship style through its complex adaptation to learners’ maturity, digital tools, and learning goals. (shrink)

This contribution addresses some bioethical and medico-legal issues of the opinion formulated by the Italian National Bioethics Committee (CNB) in response to the dilemma between the State’s duty to protect the life and health of the prisoner entrusted to its care and the prisoner’s right to exercise his freedom of expression. The prisoner hunger strike is a form of protest frequently encountered in prison and it is a form of communication but also a language used by the prisoner in order (...) to provoke changes in the prison condition. There are no rules in the prison regulations, nor in the laws governing the legal status of prisoners, that allow the conscious will of the capable and informed subject to be opposed and forced nutrition to be carried out. However, this can in no manner make therapeutic abandonment legitimate: the medical doctor should promote every action to support the patient. In the recent opinion formulated by the CNB it was remarked how self-determination is a central concept in human rights and refers to an individual’s ability to make autonomous and free decisions about his or her life and body. (shrink)

Reading Cinema: The Dream that Kicks by Michael Chanan, London: Routledge & Kegan Paul, 1980, pp 353, £12.50 Stars by Richard Dyer, London: British Film Institute, 1979, pp 204, £2.25 Women's Pictures by Annette Kuhn, London: Routledge & Kegan Paul, 1982, pp xiv + 226, E4.95 Cultures on Celluloid by Keith Reader, London: Quartet Books, 1981, pp 216 £11.50 The Celluloid Closet by Vito Russo, New York: Harper & Row, 1981, pp xil + 276, £15.