Plato believed that behind everything in the universe lie mathematical principles. Plato was inspired by Pythagoras (571 BCE), who developed a school of mathematics at Crotona that studied sacred geometry as a form of religion. The school’s motto was “God is number,” or “All is Number”. Pythagoras believed that numbers represented God in pattern, symmetry, and infinity. When one of its students, Hippasus told the world the secret of the existence of irrational numbers, Greek geometry was born and Pythagoras’ idea (...) of divinity in numbers died because how could God not be perfect and symmetrical? In Plato’s Republic he discusses something called The Divided Line, which is a map, of sorts, for reaching what he calls the highest Good, which is the ultimate truth where one realizes the true state of the universe and can see the world for what it really is. Many mathematicians have attempted to plot Plato’s Divided Line only to come across a litany of problems and conundrums. Some have said that it the Divided Line cannot be plotted and is merely an allegory not meant to be plotted. This paper discusses some of the conundrums preventing the plotting of Plato’s Divided Line (not an exhaustive list), including Whole ‘vs’ Separate, Equality ‘vs’ Ontological Dissimilarity, Linear ‘vs’ Non-linear, and Infinity ‘vs’ Finite. This paper also explores a new understanding of the Allegory of the Cave in light of ‘the problem of the irrational.’ In exploring the link between the Divided Line and the ‘the problem of the irrational,’ I was able to plot it. It was found that the Divided Line is not a line in the linear sense, but a spiral, the Golden Ratio! This paper is an example of a new category of scholarly inquiry I call “Math Theory” based on scholarly mathematical axioms in theory, rather than including actual maths. In my papers I use existing mathematical equations and place them in an encompassing theory, rather than finding new formulae to fit an existing theory. Keywords: Pythagoras, divided line, math theory, highest good, all is number. (shrink)

The scope and method of logic as we know it today eminently reflect the ground-breaking developments of set theory and the logical foundations of mathematics at the turn of the 20th century. Unfortunately, little effort has been made to understand the idiosyncrasies of the philosophical context that led to these tremendous innovations in the 19thcentury beyond what is found in the works of mathematicians such as Frege, Hilbert, and Russell. This constitutes a monumental gap in our understanding of the central (...) influences that shaped 19th-century thought, from Kant to Russell, and that helped to create the conditions in which analytic philosophy could emerge. -/- The aim of Logic from Kant to Russell is to document the development of logic in the works of 19th-century philosophers. It contains thirteen original essays written by authors from a broad range of backgrounds—intellectual historians, historians of idealism, philosophers of science, and historians of logic and analytic philosophy. These essays question the standard narratives of analytic philosophy’s past and address concerns that are relevant to the contemporary philosophical study of language, mind, and cognition. The book covers a broad range of influential thinkers in 19th-century philosophy and analytic philosophy, including Kant, Bolzano, Hegel, Herbart, Lotze, the British Algebraists and Idealists, Moore, Russell, the Neo-Kantians, and Frege. (shrink)

Business Ethics, the Environment & Responsibility, Volume 31, Issue 2, Page 307-322, April 2022.

This volume portrays the Polish or Lvov-Warsaw School, one of the most influential schools in analytic philosophy, which, as discussed in the thorough introduction, presented an alternative working picture of the unity of science.

Unites George Herbert Mead and Maurice Merleau-Ponty in a shared rejection of substance philosophy as well as spectator theory of knowledge, in favor of a focus on the ultimacy of temporal process and the constitutive function of social praxis.

ZusammenfassungEntscheidungen der Therapiebegrenzung und in der Betreuung am Lebensende sind häufig komplex und von ethischen Problemen begleitet. Im Mittelpunkt der Untersuchung steht die entscheidende Frage, wie hilfreich existierende „Ethik-Richtlinien“, die eine ethische Orientierung bei solchen Entscheidungen geben sollen, in der klinischen Praxis tatsächlich sind. Die Frage, welchen Nutzen „Ethik-Richtlinien“ bei der Entscheidungsfindung haben oder haben können, wird hier exemplarisch an einem klinischen Fallbeispiel aus einer Ethik-Kooperationsstudie in der Intensivmedizin analysiert. Vergleichend werden hierzu „Ethik-Richtlinien“ aus Deutschland, der Schweiz und aus Großbritannien (...) herangezogen, die Gegenstand eines internationalen Projekts zur Analyse von Richtlinien waren. Die Möglichkeiten und Grenzen einer ethischen Orientierung an „Ethik-Richtlinien“ bei Entscheidungsproblemen der Therapiebegrenzung und in der Betreuung am Lebensende werden anhand der Fallstudie diskutiert und illustriert. Abschließend werden Schlussfolgerungen für die Entwicklung ethischer Richtlinien für die klinische Praxis formuliert. (shrink)

C. I. Lewis was one of the most important thinkers of his generation. In this book, Sandra B. Rosenthal explores Lewis’s philosophical vision, and links his thought to the traditions of classical American pragmatism. Tracing Lewis’s influences, she explains the central concepts informing his thinking and how he developed a unique and practical vision of the human experience. She shows how Lewis contributed to the enrichment and expansion of pragmatism, opening new paths of constructive dialogue with other traditions. This (...) book will become a standard reference for readers who want to know more about one of American philosophy’s most distinguished minds. (shrink)

Entscheidungen der Therapiebegrenzung und in der Betreuung am Lebensende sind häufig komplex und von ethischen Problemen begleitet. Im Mittelpunkt der Untersuchung steht die entscheidende Frage, wie hilfreich existierende „Ethik-Richtlinien“, die eine ethische Orientierung bei solchen Entscheidungen geben sollen, in der klinischen Praxis tatsächlich sind. Die Frage, welchen Nutzen „Ethik-Richtlinien“ bei der Entscheidungsfindung haben oder haben können, wird hier exemplarisch an einem klinischen Fallbeispiel aus einer Ethik-Kooperationsstudie in der Intensivmedizin analysiert. Vergleichend werden hierzu „Ethik-Richtlinien“ aus Deutschland, der Schweiz und aus Großbritannien (...) herangezogen, die Gegenstand eines internationalen Projekts zur Analyse von Richtlinien waren. Die Möglichkeiten und Grenzen einer ethischen Orientierung an „Ethik-Richtlinien“ bei Entscheidungsproblemen der Therapiebegrenzung und in der Betreuung am Lebensende werden anhand der Fallstudie diskutiert und illustriert. Abschließend werden Schlussfolgerungen für die Entwicklung ethischer Richtlinien für die klinische Praxis formuliert. (shrink)

By combining a flanker task and a cuing task into a single paradigm, the authors assessed the effects of orienting and alerting on conflict resolution and explored how normal aging and Alzheimer’s disease (AD) modulate these attentional functions. Orienting failed to enhance conflict resolution; alerting was most beneficial for trials without conflict, as if acting on response criterion rather than on information processing. Alerting cues were most effective in the older groups— healthy aging and AD. Conflict resolution was impaired only (...) in AD. Orienting remained unchanged across groups. These findings provide evidence of different life span developmental and clinical trajectories for each attentional network. (shrink)

Resenha do livro de: CARDIM, Leandro Neves Corpo . Col. Filosofia Frente & Verso. Sáo Paulo: Globo, 2009. 177 p.

Resenha do livro de Willi Bolle. grandesertáo.br . Sáo Paulo: Duas Cidades/Editora 34, 2004, 478 páginas. [Coleçáo Espírito Crítico].

Resenha do livro de McGinn, Colin. Shakespeare ’s Philosophy : Discovering the meaning Behind the Plays [A filosofia de Shakespeare : descobrindo o significado atrás das peças]. New York: Harper, 2008. 230 páginas.

Resenha do livro de: Rudiger Safranski, Nietzsche: biografia de uma tragedia. Traducao de Lya Luft. Sao Paulo: Geracao Editorial, 2001. 263 paginas.

Resumo: Existe uma acirrada discussao entre os estudiosos do classico ingles Paradise Lost (John Milton, 1674) sobre o suposto misogenismo do autor. A maioria dos estudiosos, inclusive mulheres sustentam que n áo . A analise da Eva Miltoniana apresentada abaixo deixa claro que n áo so Milton de é fato misogenista, mas seu misogenismo vai alem da opini áo comum de uma epoca que via a mulher como encarnaç áo do mal. Milton, atraves de sua Eva, justifica esta vis áo (...) da mulher, aprofundando e perpetuando com sua mitopoetica a vis áo etica-teologica da mulher. Sua vis áo , longe de ser "moderna ", representa a reafirmaç áo do ethos paternalistico da tradic áo judaico-crist á. (shrink)

Resenha do livro de Sellars, Roy, e Allen, Graham (Orgs.). The Salt Companion to Harold Bloom . Cambridge: Salt, 2007. 505 páginas.

Reseña del libro Ya no somos las mismas y aquí sigue la guerra, de Daniela Rea (ed.), México, Random House, 2020.

As understood today, political correctness aims at preventing social discrimination by curtailing offensive speech and behaviour towards underprivileged groups of individuals. The core proponents of political correctness often draw on post-modernism and critical theory and are notorious for their scepticism about objective truth and scientific rationality. Conversely, the critics of post-modern political correctness uphold Enlightenment liberal principles of scientific reasoning, rational truth-seeking and open discourse against claims of relativism and oppression. Yet, both the post-modern proponents and their Enlightenment liberal critics (...) make up two sides of the same phenomenon of political correctness. Both sides intend to protect a liberal value system from illiberal truth-claims, which is the function of politically correct regulation. While post-modern advocates attempt to promote liberating tolerance, Enlightenment liberals place liberal values above the open-ended search for truth. Despite appearances to the contrary, this socio-academic debate is not about two sides favouring and opposing political correctness. In fact, it is a debate about the type of politically correct regulation that can better guard liberal values. (shrink)

The ease with which genotyping technologies generate tremendous amounts of data on research participants has been well chronicled, a feat that continues to become both faster and cheaper to perform. In parallel to these advances come additional ethical considerations and debates, one of which centers on providing individual research results and incidental findings back to research participants taking part in genetic research efforts. In 2006 the Industry Pharmacogenomics Working Group offered some ‘Points-to-Consider’ on this topic within the context of the (...) drug development process from those who are affiliated to pharmaceutical companies. Today many of these points remain applicable to the discussion but will be expanded upon in this updated viewpoint from the I-PWG. The exploratory nature of pharmacogenomic work in the pharmaceutical industry is discussed to provide context for why these results typically are not best suited for return. Operational challenges unique to this industry which cause barriers to returning this information are also explained. (shrink)

_Themes from Ontology, Mind and Logic_ is a tribute to Peter Simons’s formidable contribution to contemporary philosophy. With themes ranging from metaphysics to phenomenology, it offers insights into some of today’s most significant philosophical questions.

Finally available in English, Príhonský's New Anti-Kant is an inescapable book for anyone interested in Kant's Critical philosophy. It provides a concise and systematic recapitulation of Bolzano's insightful, trenchant criticisms of Kant, and provides a fresh window into historical developments in 19th century post-Kantian philosophy.

This chapter contains sections titled: Selfhood and community Value The normative‐empirical split Environmental ethics.

A good deal of attention is beginning to be focused on Peirce’s understanding of perceptual judgments and the issue of foundations, and ultimately the nature of the percipuum is central to this issue. An examination of Peirce’s understanding of the dual senses of the percept, the perceptual judgment, and the percipuum, as well as the role of the ponecept and ponecipuum, in the logic of perceptual awareness, reveals the radical nature of his rejection of foundationalism. It will be seen that (...) Peirce uses the term “percipuum” in two different senses, a wide sense and a narrow sense, highlighting two corresponding senses of the perceptual judgment, and that what is “given” at the most fundamental level of perceptual awareness is in fact a “taken”, incorporating both the nature of the taking and the nature of what is taken. For Peirce, perceptual facts at their very primordial core emerge neither from mind alone nor from the dynamic reality of the universe alone, but rather from the interaction of the two which constitutes experience. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Coward Conscience and Bad Conscience in Shakespeare and NietzscheSandra BonettoGeorge Bernard Shaw once observed that the whole of Nietzsche was expressed in three lines that Shakespeare puts into the mouth of one of his greatest villains, Richard III 1 : "Conscience is but a word that cowards use / Devised at first to keep the strong in awe / Our strong arms be our conscience; swords, our law" (5.6). (...) More specifically, perhaps, these lines invite a comparison between Shakespeare's repeated association of conscience with cowardice in Richard III, 2 and Nietzsche's negative evaluation of bad conscience, notably in On the Genealogy of Morals. 3 The aim of this article is to offer such a comparative analysis in order to demonstrate that Shakespeare's coward conscience anticipates Nietzsche's understanding of the bad conscience (das schlechte Gewissen) as "the consciousness of guilt" (GM, II, p. 67), including its involvement with the notions of debt, sin, punishment, and God.INietzsche devoted the Second Essay of his Genealogy to the discussion of bad conscience, its origins, and related matters, notably guilt (Schuld) and its relation to duty (Pflicht) and debt (Schuld). The German term Schuld denotes both guilt and debt, and both senses are inextricably linked in Nietzsche's analysis. The bad conscience as consciousness of guilt is also [End Page 512] the consciousness of a debt owed—to another individual, society, and above all to the Christian God. The debt owed to God is one that can never be repaid, so that Christian morality necessitates guilt as "eternal punishment" for man's original transgression (see GM, II, pp. 91–92). Thus, Nietzsche argues, the descriptive equivalent of bad conscience, in the language of Christianity, is sin—"this is the priestly name for the... bad conscience" (GM, III, p. 140). In other words, sin is essentially a debt contracted with God. This is evident, for instance, in the substitution of the word "sin" for "debt" (ophéilema) in the formula of the Our Father as found in St. Luke. Even in the more general description, e.g. in the passage of St. Matthew where Jesus is explaining the implications of the petition "Forgive us or debts as we forgive our debtors," where the expressions paràptoma (fault, error) and armatia (aberration, failing, defect in relation to a norm or whole) are the more common terms used to denote sin, the sense of debt is implicit—we only accept our failure in relation to the Christian norm or whole if we accept that we "owe it to God" to live up to that norm in the first place. Moreover, the notion of debt brings with it the debtor's fear of failing to repay the creditor, so that a fear of punishment results from the sense of not living up to the contractual relationship with God.According to Nietzsche, the basis for the bad conscience and guilt, which he further defines as "anger directed against the self" (GM, I, p. 45), is cruelty, a natural human disposition that is displayed unabashedly in punishment. Bad conscience, he argues, is cruelty turned inward and essentially amounts to self-punishment or "psychical cruelty"—a form of subliminal suffering we impose on ourselves. Speaking of the "psychology of conscience," Nietzsche emphasises therefore that conscience "is not 'the voice of God in man'—it is rather the instinct of cruelty that turns back after it can no longer discharge itself externally" (GM, "A Polemic," p. 312). Bad conscience, or sin, is cruelty directed backwards, at oneself. In short, Nietzsche holds that the bad conscience, experienced by us as the "bite" or "sting" of conscience (morsus conscientiae; Gewissensbiss), results from the internalisation of instincts, notably the instincts to cruelty. Rather than acting on natural impulses, man has come to stifle and repress them: "Hostility, cruelty, joy in persecuting, in attacking, in change, in destruction—all this turned against the possessors of such instincts: that is the origin of the "'bad conscience'" (GM, II, p.85).Anticipating Freud's theory of repression and pre-empting his psychological interpretation of conscience as superego (Über-Ich), Nietzsche argues, "all instincts that do not discharge themselves outwardly turn [End Page 513... (shrink)

This article uses the two prose Lives of Cuthbert written by an anonymous monk of Lindisfarne and by Bede in the first half of the eighth century to illustrate how an understanding of the impact of biblical language and its accompanying exegetical tradition may help in the interpretation of hagiographical works. After an examination of recent scholarly work on the relationship scripture and hagiography and the impact of signa upon the early medieval thought‐world, the paper examines the incidents that are (...) recorded as happening during Cuthbert's time as a hermit on Farne. Looking first at the Lindisfarne account, the potential symbolism inherent in miracles concerning building materials such as rock, stone and wood, as well as living water and ravens are examined by outlining biblical parallels and then looking at the development of the symbols in the exegetical tradition. It thus becomes apparent that the writer was using a shared Christian symbolic language to make statements about Cuthbert as builder of the Northumbrian Church. A similar process is undertaken with Bede's account, noting differences and additions, and reaching the conclusion that it is more developed, showing Cuthbert as a teacher and pastor. In both cases the writers were using the events to foreshadow Cuthbert's imminent episcopal career, thus connecting the contemplative preparation with the subsequent active ministry. The article concludes that the hagiographers believed that God continued to speak to His Church through signa as He had spoken in the Bible and that it was natural His words should coincide with their own polemical and didactic concerns and intentions. (shrink)

This dissertation examines a central tenet of Hannah Arendt's political philisophy--that the failure to distinguish between the social and the political, both theoretically and practically, obfuscates the nature and location of freedom in the modern world. The very tenability of the distinction as well as Arendt's historically-grounded method of drawing it has proven problematic. Some critics accuse her of elitism because they believe that, for Arendt, freedom entails the existence of poverty. Others, like Jurgen Habermas, charge that Arendt's analysis deprives (...) politics of its power. Recent proponents of civil society decry her "negativity" with regard to social movements and the institutional level of politics. But Arendt's discussion of "the social question" in On Revolution, her interpretation of the distinction between praxis and poesis found primarily in The Human Condition, but also in her political philosophy generally, and her nuanced drawing of appropriate distinctions throughout her work, provide evidence that, in her view, poverty mitigates against freedom, strategic violence can justifiably be eliminated from politics and advocates of civil society fail to draw certain important and necessary distinctions. ;In examining these texts, I argue that the key to understanding Arendt's interpretation of the social/political distinction is provided by her emphasis on the profound importance of public spaces--that is, on how their use or abuse may compromise, threaten, and redefine freedom in the modern world. (shrink)