Lewis Carroll: Logic Charles L. Dodgson, 1832-1898, was a British mathematician, logician, and the author of the ‘Alice’ books, Alice’s Adventures in Wonderland and Through the Looking Glass and What Alice Found There. His fame derives principally from his literary works, but in the twentieth century some of his mathematical … Continue reading Lewis Carroll: Logic →.

Lewis Carroll: Logic Charles L. Dodgson, 1832-1898, was a British mathematician, logician, and the author of the ‘Alice’ books, Alice’s Adventures in Wonderland and Through the Looking Glass and What Alice Found There. His fame derives principally from his literary works, but in the twentieth century some of his mathematical … Continue reading Lewis Carroll: Logic →.

John Venn and Charles L. Dodgson (Lewis Carroll) created systems of logic diagrams capable of representing classes (sets) and their relations in the form of propositions. Each is a proof method for syllogisms, and Carroll's is a sound and complete system. For a large number of sets, Carroll diagrams are easier to draw because of their self-similarity and algorithmic construction. This regularity makes it easier to locate and thereby to erase cells corresponding with classes destroyed by the premises of an (...) argument, a particularly difficult task in Venn diagrams for more than four sets. Carroll diagrams can represent existential propositions easily, so they are capable of clearly representing more complex problems than Venn's system can. Finally, both Carroll and Venn diagrams are maximal, in the sense that no additional logic information like inclusive disjunctions is able to be represented by them. Carroll's logic diagrams and logic trees constitute his visual logic system. (shrink)

Charles L. Dodgson's reputation as a significant figure in nineteenth-century logic was firmly established when the philosopher and historian of philosophy William Warren Bartley, III published Dodgson's ?lost? book of logic, Part II of Symbolic Logic, in 1977. Bartley's commentary and annotations confirm that Dodgson was a superb technical innovator. In this paper, I closely examine Dodgson's methods and their evolution in the two parts of Symbolic Logic to clarify and justify Bartley's claims. Then, using more recent publications and unpublished (...) letters, I argue that Dodgson approached the elimination problem in class logic differently than his contemporaries, and in doing so, anticipated several important concepts and techniques in automated deductive reasoning. These materials also provide additional insight into his reasons for writing this book. (shrink)

Dans une lettre adressée à Bertrand Russell, le 17 mai 1905, Hugh MacColl raconte avoir abandonné l’étude de la logique après 1884, pendant près de treize ans, et explique que ce fut la lecture de l’ouvrage de Lewis Carroll, Symbolic Logic (1896), qui ralluma le vieux feu qu’il croyait éteint. Dès lors, il publie de nombreux articles contenant certaines de ses innovations majeures en logique. L’objet de cet article est de discuter la familiarité de MacColl et son appréciation du travail (...) de Carroll, et de comprendre comment cela l’amena à réinvestir le domaine de la logique. Rien n’indique que les deux hommes se soient jamais rencontrés ou aient échangé une correspondance personnelle. Cependant, MacColl recensa dans le journal The Athenaeum plusieurs ouvrages de Carroll, essentiellement en géométrie et en logique. Souvent, Carroll répondait aux critiques de MacColl dans les éditions suivantes de ses ouvrages. Une discussion de ces sources fournit des éclaircissements intéressants sur les investigations mathématiques et logiques de MacColl et Carroll. (shrink)

Dans une lettre adressée à Bertrand Russell, le 17 mai 1905, Hugh MacColl raconte avoir abandonné l’étude de la logique après 1884, pendant près de treize ans, et explique que ce fut la lecture de l’ouvrage de Lewis Carroll, Symbolic Logic (1896), qui ralluma le vieux feu qu’il croyait éteint. Dès lors, il publie de nombreux articles contenant certaines de ses innovations majeures en logique. L’objet de cet article est de discuter la familiarité de MacColl et son appréciation du travail (...) de Carroll, et de comprendre comment cela l’amena à réinvestir le domaine de la logique. Rien n’indique que les deux hommes se soient jamais rencontrés ou aient échangé une correspondance personnelle. Cependant, MacColl recensa dans le journal The Athenaeum plusieurs ouvrages de Carroll, essentiellement en géométrie et en logique. Souvent, Carroll répondait aux critiques de MacColl dans les éditions suivantes de ses ouvrages. Une discussion de ces sources fournit des éclaircissements intéressants sur les investigations mathématiques et logiques de MacColl et Carroll. (shrink)

In the period 1893–1897 Charles Dodgson, writing as Lewis Carroll, published two books and two articles on logic topics. Manuscript material first published in 1977 together with letters and diary entries provide evidence that he was working toward a visual proof system for complex syllogistic propositional logic based on a mechanical tree method that he devised.

Hypotheticals, conditionals, and their connecting relation, implication, dramatically changed their meanings during the nineteenth and early part of the twentieth century. Modern logicians ordinarily do not distinguish between the terms hypothetical and conditional. Yet in the late nineteenth century their meanings were quite different, their ties to the implication relation either were unclear, or the implication relation was used exclusively as a logical operator. I will trace the development of implication as an inference operator from these earlier notions into the (...) first third of the twentieth century using as the starting point the ideas primarily of R. Whately and W. Hamilton before discussing the work of the transitional logicians, A. De Morgan and G. Boole on these topics. Then we discuss the relevant views of four prominent but relatively unknown nineteenth century British logicians, W.E. Johnson, J.N. Keynes, E.E.C. Jones, and H. MacColl, as well as those of the more influential logicians, W.S. Jevons and J. Venn, closing with a section on ‘implication as inference’ where we explore some key ideas of B. Russell and sketch the work of D. Hilbert, P. Hertz, and G. Gentzen who together are responsible for the development of the modern ideas related to the subjects of this paper. (shrink)

The odds of encountering a senior citizen selling on the street have increased. The claim that they have no choice but to work and sell on the street, despite the dangers, illnesses, and psychological issues they may face, to provide for their family’s needs is very evident. Therefore, this study explores the quality of life, lived experiences, challenges, and coping mechanisms of senior citizen street vendors in Bulacan, Philippines. The study employed Heideggerian Phenomenology and Interpretative Phenomenological Analysis (IPA). Moreover, the (...) following themes arise (1) Golden years, (2) Socially connected, and (3) Unknown journey. These themes highlighted the experiences and challenges faced by the participants. Moreover, it is highly suggested that local government agencies enhance and strictly monitor the existing program that alleviates mental and physical health concerns and senior citizens' safety and financial assistance. (shrink)

Three clinical cases of very ill neonates exemplifying extreme ethical situations for nurses are interpreted through Arendt's concepts of life and natality, and Agamben's critique of bare life. Agamben's notions of form-of-life, as the inseparability of zoe/bios, and testimony are offered as the potential foundation of nursing ethics.

In this paper the very earliest relationship of mother and newborn will be described phenomenologically through an interlacing of Donald Winnicott''s work on maternal holding with Maurice Merleau-Ponty''s concepts of flesh and chiasm. Merleau-Ponty''s thinking suggests that the holding relationship described by Winnicott is formed as much by the infant''s holding of the mother as it is by mother''s holding of her infant. Both flex and bend towards each other and inscribe each other yet retain their own particularity. Further specification (...) and articulation of the lived body of both arises from the ongoing overlapping and sedimenting of past and current touches, movements, sounds, and sightings initiated internally and externally. Examples drawn from fieldwork and secondary sources will illustrate this ongoing embodied relationship. (shrink)

The paper introduces a special issue of the journal Philosophical Problems in Science (ZFN) on the topic of the nature and norms of scientific explanation.

This textbook is a flexible and affordable collection of classic and contemporary primary sources in philosophy. The readings cover seven basic topics of Western Philosophy. The selections are long enough to present a self-contained argument but not so lengthy that students lose track of the main point. Each reading has an outline with study questions, questions for reflection and discussion, and an annotated bibliography. The book includes a glossary and an appendix on logic and argumentation.

Nous partageons le problème de savoir comment faire face à autant d'humains si semblables et si différents. A autant d'êtres qui ne peuvent interpréter le fait d'exister sans se comparer les uns aux autres, sans se distinguer les uns des autres, et qui doivent néanmoins cohabiter. Et de savoir comment ces humains peuvent d'autant plus se distinguer qu'ils prennent la place successivement les uns les autres, qu'ils reprennent les mêmes traces et doivent les réinterpréter. La première formulation du problème est (...) plutôt celle de la problématologie, dans la mesure où elle place au centre de la condition humaine le langage ordinaire, l'incessante différence de la question et de la réponse. C'est par elle que les humains mesurent ce qui les éloigne ou les rapproche et qu'ils règlent leurs désaccords. La seconde formulation du problème est plutôt celle de l'herméneutique, dans la mesure où elle place au centre de la condition humaine la condition interprétative, où chaque génération doit réinterpréter le monde où elle se découvre, pour reprendre la conversation rompue par la mort. En exposant ces deux " gestes " élémentaires du questionnement, en construisant l'écart entre deux traditions philosophiques de styles aussi hétérogènes, sans chercher à les subordonner l'un à l'autre, il s'est agi de penser une éthique de l'interrogativité. Ce sens de l'interrogation peut seul orienter nos " éthiques de responsabilité " et nous remettre ensemble dans un monde où nous comparaissons d'autant plus heureux de nous distinguer que nous nous effaçons devant l'autre. Ces deux attitudes font notre civilité. (shrink)

While scientific inquiry crucially relies on the extraction of patterns from data, we still have a far from perfect understanding of the metaphysics of patterns—and, in particular, of what makes a pattern real. In this paper we derive a criterion of real-patternhood from the notion of conditional Kolmogorov complexity. The resulting account belongs to the philosophical tradition, initiated by Dennett :27–51, 1991), that links real-patternhood to data compressibility, but is simpler and formally more perspicuous than other proposals previously defended in (...) the literature. It also successfully enforces a non-redundancy principle, suggested by Ladyman and Ross, that aims to exclude from real-patternhood those patterns that can be ignored without loss of information about the target dataset, and which their own account fails to enforce. (shrink)

This paper explores Jean‐Luc Nancy's philosophical reflection on surviving his own heart transplant. In ‘The Intruder’, he raises central questions concerning the relations between what he refers to as a ‘proper’ life, that is, a life that is thought to be one's own singular ‘lived experience’, and medical techniques, shaped at this particular historical juncture by cyclosporine or immuno‐suppresssion. He describes the temporal nature of an ever‐increasing sense of strangeness and fragmentation which accompanies his heart transplant. In doing so, Nancy (...) opens up the concealed of transplantation in terms of the problematic ‘gift’ of a ‘foreign’ organ, the unremitting suffering intrusiveness of the treatment regimen, and the living of life as ‘bare life’. He uncovers and exposes the relentless uncanniness that pervades the post‐transplant experience, which for him is an example of our humanistic, never‐ending impulse, to alter ourselves. Nevertheless, Nancy offers no answer to this dilemma, but instead calls us to think about the meaning or ‘sense’ of the prolonging of life and deferring of death, which currently drives our medical interventions. (shrink)

This study intends to question the theoretical and epistemological basis of research practices that give rise to the production of spontaneous oral commentary by teachers watching their own teacher action. What clues can the researcher use to impart on these discourses their ability to reveal that which is related to the link between discourse, action and teacher thinking? To address this question, we propose to concentrate more specifically on planning incidents, challenging moments, dilemmas and regrets in which, according to Schütz’s (...) expression (1998), the teacher faces a world that is not self-evident. Here we will consider corpus sequences in which relationships to knowledge and opportunities - both missed and taken advantage of - play out. In these moments of fracture, hints of an evolving didactic repertoire seem to appear. This will bring us to question the discourses of self-confrontation as textual material, the study of which informs of the construction of professional knowledge and its evolution. (shrink)

Friedrich Nietzsche has emerged as one of the most important and influential modern philosophers. For several decades, the book series Monographien und Texte zur Nietzsche-Forschung has set the agenda in a rapidly growing and changing field of Nietzsche scholarship. The scope of the series is interdisciplinary and international in orientation reflects the entire spectrum of research on Nietzsche, from philosophy to literary studies and political theory. The series publishes monographs and edited volumes that undergo a strict peer-review process. The book (...) series is led by an international team of editors, whose work represents the full range of current Nietzsche scholarship. (shrink)

Biography of the French philosopher, Christian mystic, and social activist Simone Weil (1909-1943). Unrevised and unpublished proofs.

In _Fairfax Media Publications Pty Ltd v Voller_ (‘_Voller_’) the Australian High Court held that media companies maintaining Facebook comment pages could be liable for the defamatory posts of commenters on those sites. The decision focussed entirely on whether, by maintaining the Facebook page, the companies had ‘published’ the statements of commenters. Hearings on other aspects of the tort litigation continue. This paper considers the implications of the tort of defamation on public participation on political will formation where, as is (...) increasingly the case, the participation occurs virtually. Australian law has already tackled the law of defamation as a threat to freedom of political communication; _Voller_ continues the jurisprudence by considering whether hosting an online forum for debate amounts to publication. The more recent High Court judgment in _Google LLC v Defteros_ demonstrated the necessity of the law to align the ‘acts’ necessary to found legal action with the new environment of automated search engines. The troubled intersection of dematerialised practices of political and cultural discourse and jurisdictionally bound laws of defamation challenges participatory governance as tribes form and dissolve and shift between geographical interests. Defamation in Australia is a tort of strict liability; and, absenting applicable defences, any participation in communication is sufficient to make that participant a publisher and a party to the defamation. The online environment stretches words across geographical and jurisdictional boundaries, but it also stretches and contorts concepts of fault and responsibility. Participatory digital cultural practices integrating users in the creation of cultural heritage simultaneously draw participants into transgressions, both cultural and legal, which are amplified by the medium. Questions of collective guilt, ‘shades’ of moral responsibility and disproportionality between blameworthiness and legal liability challenge laws formulated for the printing press but now deployed in the online environment. In this way the digitized participatory environment presents deep challenges to law and legal systems, which are chained to geography. This paper considers the concept of innocent publication in the context of the digitized participatory environment and the way in which the virtual experience is dissolving concepts of geographically defined jurisdictions. (shrink)

Frontmatter -- Vorwort zur 2. Auflage -- Vorwort -- Inhaltsverzeichnis -- Erster Teil. Die Willen-zur-Macht-Prozesse -- Zweiter Teil. Der Gedanke der ewigen Wiederkehr des Gleichen -- Dritter Teil. Wiederkunftslehre und neuzeitliches Denken -- Literaturverzeichnis -- Personenregister -- Sachregister.

This thought-provoking book will ask what it is to be human, what to be animal, and what are the natures of the relationships between them. This is accomplished with philosophical and ethical discussions, scientific evidence and dynamic theoretical approaches. Attitudes to Animals will also encourage us to think not only of our relationships to non-human animals, but also of those to other, human, animals. This book provides a foundation that the reader can use to make ethical choices about animals. It (...) will challenge readers to question their current views, attitudes and perspectives on animals, nature and development of the human-animal relationship. Human perspectives on the human-animal relationships reflect what we have learned, together with spoken and unspoken attitudes and assumptions, from our families, societies, media, education and employment. (shrink)

Examines from a Jewish point of view such topics as love, sex, marriage, business ethics, health and medicine, the environment, faith, birth control, civil disobedience, scholarship, and death.

“Doing Gender,” West and Zimmerman's landmark article, highlighted the importance of social interaction, thus revealing the weaknesses of socialization and structural approaches. However, despite its revolutionary potential for illuminating how to dismantle the gender system, doing gender has become a theory of gender persistence and the inevitability of inequality. In this article, the author argues that we need to reframe the questions to ask how we can undo gender. Research should focus on when and how social interactions become less gendered, (...) whether gender can be irrelevant in interaction, whether gendered interactions always underwrite inequality, how the institutional and interactional levels work together to produce change, and interaction as the site of change. (shrink)