A semantics is presented for Storrs McCall's separate axiomatizations of Aristotle's accepted and rejected polysyllogisms. The polysyllogisms under discussion are made up of either assertoric or apodeictic propositions. The semantics is given by associating a property with a pair of sets: one set consists of things having the property essentially and the other of things having it accidentally. A completeness proof and a semantic decision procedure are given.

One semantic and two syntactic decision procedures are given for determining the validity of Aristotelian assertoric and apodeictic syllogisms. Results are obtained by using the Aristotelian deductions that necessarily have an even number of premises.

A theorem due to Shoesmith and Smiley that axiomatizes two-valued multiple-conclusion logics is extended to partial logics.

Counting functions are shown to be complete by using a simpler argument than that used by Pelletier and Martin.

Parry discusses an extension of Aristotle's syllogistic that uses four nontraditional quantifiers. We show that his conjectured decision procedure for validity for the extended syllogistic is correct even if syllogisms have more than two premises. And we axiomatize this extension of the syllogistic.

The paper shows that for any invalid polysyllogism there is a procedure for constructing a model with a domain with exactly three members and an interpretation that assigns non-empty, non-universal subsets of the domain to terms such that the model invalidates the polysyllogism.

McCall's system for contingent syllogisms is modified. A semantics for the resulting system is provided.

Fred's semantics for McCall's syntactic presentation of Aristotle's assertoric and apodeictic syllogistic is altered to free it from Thom's objections that it is unAristotelian. The altered semantics rejects Baroco-XLL and Bocardo-LXL, which Thom says Aristotle should have accepted. Aristotle's proofs that use ecthesis are formalized by using singular sentences. With one exception the (acceptance) axioms for McCall's system L-X-M are derivable. Formal proofs are shown to be sound.

Aristotle's syllogistic is extended to include denumerably many quantifiers such as 'more than 2/3' and 'exactly 2/3.' Syntactic and semantic decision procedures determine the validity, or invalidity, of syllogisms with any finite number of premises. One of the syntactic procedures uses a natural deduction account of deducibility, which is sound and complete. The semantics for the system is non-classical since sentences may be assigned a value other than true or false. Results about symmetric systems are given. And reasons are given (...) for claiming that syllogistic validity is relevant validity. (shrink)

Fred shows how problems with Slater's restriction of the classical propositional logic can be solved.

Consequence rleations over sets of "judgments" are defined by using "overdetermined" as well as "underdetermined" valuations. Some of these relations are shown to be categorical. And generalized soundness and completeness results are given for both multiple and single conclusion consequence relations.

Syllogisms with or without negative terms are studied by using Gergonne's ideas. Soundness, completeness, and decidability results are given.

This volume shows how Gandhi's thought and action-oriented approach are significant, relevant, and urgently needed for addressing major contemporary problems and concerns, including issues of violence and nonviolence, war and peace, religious conflict and dialogue, terrorism, ethics, civil disobedience, injustice, modernism and postmodernism, oppression and exploitation, and environmental destruction. Appropriate for general readers and Gandhi specialists, this volume will be of interest for those in philosophy, religion, political science, history, cultural studies, peace studies, and many other fields.

In this first study of the role of scepticism in literature, Fred Parker offers a lively and stimulating introduction to key issues in eighteenth-century literature and philosophy. Parker traces the presence of sceptical thinking in works by Pope, Hume, Sterne, and Johnson, relates it more broadly to the social self-consciousness of eighteenth-century culture, and discusses its source in Locke and its inspiration in Montaigne.

This paper contrasts two views of the necessity to manifest the rational adequacy of argumentation. The view advanced by Ralph Johnson’s program for informal logic will be compared to one based on an account of obligations incurred in speech acts. Both views hold that arguers are commonly obliged to make it apparent that they are offering adequate support for their positions, but they differ in their accounts of the nature and scope of those obligations.

Abstract W. E. Johnson argued that by taking into account both the epistemic and constitutive conditions for using arguments in inferences one could dissolve the paradoxes of material implication. This essay argues that the same sort of consideration can be used to dissolve the paradox of ravens in confirmation theory. It is argued in particular, and in agreement with certain points raised by the Popperians, that those instances of a generalization which are verifying but apparently not confirming cannot raise (...) the posterior of that generalization. (shrink)

Pursuing Justice in Africa focuses on the many actors pursuing many visions of justice across the African continent--their aspirations, divergent practices, and articulations of international and vernacular idioms of justice. The essays selected by editors Jessica Johnson and George H. Karekwaivanane engage with topics at the cutting edge of contemporary scholarship across a wide range of disciplines. These include activism, land tenure, international legal institutions, and post-conflict reconciliation. Building on recent work in sociolegal studies that foregrounds justice over and (...) above concepts such as human rights and legal pluralism, the contributors grapple with alternative approaches to the concept of justice and its relationships with law, morality, and rights. While the chapters are grounded in local experiences, they also attend to the ways in which national and international actors and processes influence, for better or worse, local experiences and understandings of justice. The result is a timely and original addition to scholarship on a topic of major scholarly and pragmatic interest. Contributors: Felicitas Becker, Jonathon L. Earle, Patrick Hoenig, Stacey Hynd, Fred Nyongesa Ikanda, Ngeyi Ruth Kanyongolo, Anna Macdonald, Bernadette Malunga, Alan Msosa, Benson A. Mulemi, Holly Porter, Duncan Scott, Olaf Zenker. (shrink)

This paper draws an antigonal line leading from Sophocles’s Antigone to the lynching of Emmett Till. Drawing this line is an attempt to celebrate and honor that spirit of defiance in the name of loving the dead and memorializing loss. In particular, it takes up that portion of the line that centers on lynching. An overarching goal is thus to argue that lynching and its afterlives deserve more philosophical attention than they have received, especially from American philosophers. It is long (...) past time that philosophers take on lynching as a meaningful while volatile topic, especially insofar as it makes claims on the racial identities of the philosophers doing so. But rather than addressing lynching in general, this paper looks at one particular point on this line: the lynching of Emmett Till and the defiant mourning of his mother, Mamie Bradley. Doing so is meant to invite others to locate other points on this antigonal line. Upon sketching Sophocles’s play and Till’s murder, I consider some of the key features of Hegel’s influential interpretation. While philosophy has been mostly silent on lynching, Hegel’s Phenomenology provides essential, while problematic, material for initiating a philosophical approach to this neglected topic. Building on Hegel’s reading, I next consider the nature of “white law and order” and its complicity in extrajudicial murder and terror. Then I turn to Black mourning, where I explore what Fred Moten calls Mamie Bradley’s “Black Mo’nin”—her antigonal refusal of the white drive to annihilate Black life—and consider her as a practitioner of Christina Sharpe’s notion of “wake work.” I then turn to an artistic intervention in lynching photography to take up Sharpe’s challenge for how to respectfully engage lynching given different racial identities. Finally, I conclude by sketching an opening for a possible next antigonal point: the work of Ida B. Wells. (shrink)

Keith Donnellan (1931 – ) began his studies at the University of Maryland, and earned his Bachelor’s degree from Cornell University. He stayed on at Cornell, earning a Master’s and a PhD in 1961. He also taught at there for several years before moving to UCLA in 1970, where he is currently Emeritus Professor of Philosophy. Donnellan’s work is mainly in the philosophy of language, with an emphasis on the connections between semantics and pragmatics. His most influential work was his (...) 1966 paper “Reference and Definite Descriptions”. In this paper, he challenges the canonical view, due to Bertrand Russell, about definite descriptions. Russell had argued that the proper semantic treatment of a definite description such as “the present king of France” was quantificational. Thus, a sentence like “the present king of France is bald” should be analyzed as “There exists one and only one entity x that is the present king of France, and x is bald”. Donnellan argues that in natural languages, there are actually two different kinds of uses of definite descriptions. Russell’s analysis picks out the “attributive” use of definite descriptions. When we use a definite description (“the F”) this way, we mean to make statements about the unique entity x that is F. However, Donnellan notes that we also sometimes use definite descriptions “referentially” to pick out a given entity and say something about it. To see this, imagine you are at a party where virtually everyone is drinking beer. However, you and your friend are observing a man in a corner of the room holding a martini glass. Unbeknownst to you, the man’s glass is filled with water. You turn to your friend and ask, “who is the man drinking a martini?” Suppose further that your friend knows that the man in question is Fred and that Fred’s glass is filled with water. According to the Russellian attributive analysis, such a question would amount to asking for the identity of the one and only one man drinking a martini. But the presupposition that there is a man drinking a martini is false, and so there should be no answer to the question.. (shrink)

Richard Swinburne is without doubt one of the most powerful forces to reckon with in contemporary Philosophy of Religion. Whenever his name is mentioned, what immediately comes to mind is his declared philosophical project of rigorously defending the rationality of the Christian faith. This work attempts to streamline Swinburne's thought on the reasonableness of the Christian faith and to illuminate a good understanding of his arguments in its favour. Moreover, summoning his claims to the tribunal of reason, it considers the (...) plausibility of his arguments to see whether Swinburne has really achieved for the Christian faith the type of rational demonstration he envisaged."--Page 4 of cover. (shrink)

It is incorrect to construe Hume as a Pyrrhonian sceptic. Or so I have argued elsewhere. To the contrary, Hume in fact offers a detailed defence of the thesis that the norms of scientific inference, that is, the “rules by which to judge of causes and effects”, arereasonablerules to follow in forming our beliefs. Conforming to these rules in its formation of causal beliefs is astrategythe understanding employs in order to satisfy the end of curiosity (T271). Science is reasonable because, (...) so far as we can, within our fallible limits, discover, it is the strategy of belief formation that is the best means of achieving our end of truth, insofar as the latter is, within our fallible limits, attainable. (shrink)

Adorno and Horkheimer critically develop the concept of the “culture industry” in the third chapter of Dialectic of Enlightenment. The treatment there has some right to be considered one of the core texts in Critical Theory's philosophy of art. This essay discusses the main claims and arguments of that work, as well as earlier essays in Adorno's music theory and later essays that turn to film aesthetics. Attention focuses on illuminating the basis for Adorno and Horkheimer's views on the culture (...) industry in light of their social ontology and epistemology, their account of aesthetic form, and their conception of commodity as style. (shrink)

Archytas of Tarentum, a contemporary and associate of Plato, was a famous Pythagorean, mathematician, and statesman of Tarentum. Although his works are lost and most of the fragments attributed to him were composed in later eras, they nevertheless contain valuable information about his thought. In particular, the fragments of On Law and Justice are likely based on a work by the early Peripatetic biographer Aristoxenus of Tarentum. The fragments touch on key themes of early Greek ethics, including: written and unwritten (...) laws; freedom and self-sufficiency; moderation of the emotions and cultivation of virtues; equality and the competence of the majority to participate in government; criticism of “rule by an individual”; a theory of the ideal “mixed constitution”; distributive and corrective justice and punishment, and of the rule of law. The fragments also contain one of the only positive accounts of democracy in ancient Greek philosophy. (shrink)

From the time of Reid through Coleridge to T. H. Green, Hume was interpreted as a sceptic and as a wholly negative philosopher. And from their perspective such an interpretation no doubt makes some sense, given the vested interest in religion and the absolute of the idealists: from that perspective it is an essential part of a positive position that it take one beyond the realm of ordinary objects known by sense experience to a realm of entities that transcend that (...) world of everyday life. That interpretation lingers on, like bad jokes, to retail in Philosophy 100 classes. On the other hand, in an age where the demand that one have access to a transcendent entity is less insistent, it has become possible to challenge the orthodox reading of Hume. The first to do this was Norman Kemp Smith, who argued that, while Hume was a sceptic, he in fact also had a positive view, not to be sure that of Reid & Co., but that of anaturalist, that is, one who holds that our beliefs, and our moral commitments, are none of them rational, none of them products of reason, but rather are products of our instinctive and passionate natures. This interpretation continues to have important defenders such as Popkin and Stroud. More recently, however, some scholars have gone further and argued that there are good senses in which Hume is not a sceptic, and that he constructs a case that our instinctual beliefs are not only natural but also rational. Major works defending this reading of Hume as a naturalized epistemologist are those of Livingston and Jones. The Kemp Smith interpretation has, however, found a major new defender in John Wright'sThe Sceptical Realism of David Hume. (shrink)

These essays bring together forty years of work in ontology. Intentionality, negation, universals, bare particulars, tropes, general facts, relations, the myth of the 'myth of the given', are among the topics covered. Bergmann, Quine, Sellars, Russell, Wittgenstein, Hume, Bradley, Hochberg, Dummett, Frege, Plato, are among the philosophers discussed. The essays criticize non-Humean notions of cause; they criticize the notion that besides simple atomic facts there are also negative facts and general facts. They defend a realism of properties as universals, against (...) nominalism; bare particulars; a (qualified) realism with regard to logical form; a Russellian account of relations; and an account of minds and intentionality, which is opposed to materialism, but is also a form of (methodological) behaviourism. In general, the ontology is one of logical atomism and empiricist throughout, rooted in a Principle of Acquaintance. (shrink)

This essay proposes that Hume's non-substantialist bundle account of minds is basically correct. The concept of a person is not a metaphysical notion but a forensic one, that of a being who enters into the moral and normative relations of civil society. A person is a bundle but it is also a structured bundle. Hume's metaphysics of relations is argued must be replaced by a more adequate one such as that of Russell, but beyond that Hume's account is essentially correct. (...) In particular it is argued that it is one's character that constitutes one's identity; and that sympathy and the passions of pride and humility are central in forming and maintaining one's character and one's identity as a person. But also central is one's body: a person is an embodied consciousness: the notion that one's body is essential to one's identity is defended at length. Various concepts of mind and consciousness are examined - for example, neutral monism and intentionality - and also the concept of privacy and our inferences to other minds. (shrink)

Ayn Rand's political theory is based on the normative principles that man's life is the standard of value and that concern with his own life is man's primary moral purpose, and the metaphysical facts that reason is his basic tool of survival and that its exercise is volitional and requires the absence of coercion. This chapter first presents Rand's analysis of the nature of government. It then discusses why Rand holds that the proper purpose of government is the securing of (...) individual rights, and why it follows from that that capitalism is the only moral social system. In detailing Rand's defense of capitalism, the chapter also examines why she is an ardent proponent of property rights, and thus why property rights take a central place in her writings on politics. Finally, the chapter describes Rand's defense of intellectual property rights, which she views as core property rights. (shrink)