Peter Abelard (1079–1142 ce) was the most wide‐ranging philosopher of the twelfth century. He quickly established himself as a leading teacher of logic in and near Paris shortly after 1100. After his affair with Heloise, and his subsequent castration, Abelard became a monk, but he returned to teaching in the Paris schools until 1140, when his work was condemned by a Church Council at Sens. His logical writings were based around discussion of the “Old Logic”: Porphyry's Isagoge, aristotle'S Categories and (...) On Interpretation and boethius'S textbook on topical inference. They comprise a freestanding Dialectica (“Logic”; probably c.1116), a set of commentaries (known as the Logica [Ingredientibus], c. 1119) and a later (c. 1125) commentary on the Isagoge (Logica Nostrorum Petititoni Sociorum or Glossulae). In a work Abelard called his Theologia, issued in three main versions (between 1120 and c.1134), he attempted a logical analysis of trinitarian relations and explored the philosophical problems surrounding God's claims to omnipotence and omniscience. The Collationes (“Debates,” also known as “Dialogue between a Christian, a Philosopher and a Jew”; probably c.1130) present a rational investigation into the nature of the highest good, in which the Christian and the Philosopher (who seems to be modeled on a philosopher of pagan antiquity) are remarkably in agreement. The unfinished Scito teipsum (“Know thyself,” also known as the “Ethics”; c.1138) analyses moral action. (shrink)

Which concepts should we use to think and talk about the world and to do all of the other things that mental and linguistic representation facilitates? This is the guiding question of the field that we call ‘conceptual ethics’. Conceptual ethics is not often discussed as its own systematic branch of normative theory. A case can nevertheless be made that the field is already quite active, with contributions coming in from areas as diverse as fundamental metaphysics and social/political philosophy. In (...) this pair of papers, we try to unify the field, reflecting on its basic nature, structure, and methodology. (shrink)

Which concepts should we use to think and talk about the world, and to do all of the other things that mental and linguistic representation facilitates? This is the guiding question of the field that we call ‘conceptual ethics’. Conceptual ethics is not often discussed as its own systematic branch of normative theory. A case can nevertheless be made that the field is already quite active, with contributions coming in from areas as diverse as fundamental metaphysics and social/political philosophy. In (...) this pair of papers, we try to unify the field, reflecting on its basic nature, structure, and methodology. (shrink)

In placing education at the centre, as The Main Enterprise of the World, Philip Kitcher has undertaken a monumental task. He has come to the field of philosophy of education captivated by the importance of its substantive preoccupations for the advancement of democratic aims. Accordingly, his book argues that the most salient obstruction to preparing citizens who will contribute to society is the seeming irreconcilability of the demands of industry, on the one hand, and of students’ personal growth, on the (...) other. In spite of his desire to accommodate diverse accounts of the human good, and his recognition of the formative role of culture, broadly conceived, there are strains in his account of human fulfilment deriving from the disjunction of the self and others. It is not evident, on his Deweyan onto-epistemology, that there is adequate attention to the imprint on an individual, and on the beliefs they come to form, of proximal social groups. The nature of the balance between ‘in-group’ and ‘out-group’ influences, between those that are near and those that are far, can profoundly affect the plausibility of Kitcher's account of a socially based sense of fulfilment. (shrink)

While we are commonly told that the distinctive method of mathematics is rigorous proof, and that the special topic of mathematics is abstract structure, there has been no agreement among mathematicians, logicians, or philosophers as to just what either of these assertions means. John P. Burgess clarifies the nature of mathematical rigor and of mathematical structure, and above all of the relation between the two, taking into account some of the latest developments in mathematics, including the rise of experimental (...) mathematics on the one hand and computerized formal proofs on the other hand. Along the way, a great many historical developments in mathematics, philosophy, and logic are surveyed. Yet very little in the way of background knowledge on the part of the reader is presupposed. (shrink)

This is the first systematic survey of modern nominalistic reconstructions of mathematics, and for this reason alone it should be read by everyone interested in the philosophy of mathematics and, more generally, in questions concerning abstract entities. In the bulk of the book, the authors sketch a common formal framework for nominalistic reconstructions, outline three major strategies such reconstructions can follow, and locate proposals in the literature with respect to these strategies. The discussion is presented with admirable precision and clarity, (...) and should be accessible even to readers with only minimal background in logic and mathematics. There will be many who will turn directly to these pages and use them as a brief manual on the state of the art of nominalism in mathematics. But the most intriguing parts of this elegant book—at least in my view—are the introduction and the conclusion, where the authors examine the significance of reconstructive nominalism. (shrink)

This fourth edition of one of the classic logic textbooks has been thoroughly revised by John Burgess. The aim is to increase the pedagogical value of the book for the core market of students of philosophy and for students of mathematics and computer science as well. This book has become a classic because of its accessibility to students without a mathematical background, and because it covers not simply the staple topics of an intermediate logic course such as Godel's Incompleteness (...) Theorems, but also a large number of optional topics from Turing's theory of computability to Ramsey's theorem. John Burgess has now enhanced the book by adding a selection of problems at the end of each chapter, and by reorganising and rewriting chapters to make them more independent of each other and thus to increase the range of options available to instructors as to what to cover and what to defer. (shrink)

Conceptual engineering and conceptual ethics are branches of philosophy concerned with questions about how to assess and ameliorate our representational devices (such as concepts and words). It's a part of philosophy concerned with questions about which concepts we should use (and why), how concepts can be improved, when concepts should be abandoned, and how proposals for amelioration can be implemented. Central parts of the history of philosophy have engaged with these issues, but the focus of this volume is on applications (...) to work in contemporary philosophy of language and mind, epistemology, gender and race theory, ethics, philosophy of science, and philosophical logic. This is the first volume devoted entirely to conceptual engineering and conceptual ethics. The volume explores the possibilities, benefits, problems, and applications of conceptual engineering and conceptual ethics. It consists of twenty chapters written by leading philosophers. (shrink)

This paper considers the implications of precautionary restrictions against technologies, in the context of the potential for creating and sustaining rumours. It focuses on the restriction against mobile phone use at petrol stations, based on the rumour that a spark might cause an explosion. Rumours have been substantiated by precautionary usage warnings from mobile phone manufacturers, petrol station usage restrictions, and a general lack of technical understanding. Petrol station employees have themselves spread the rumour about alleged incidents, filling the information (...) gap about the basis for the restriction. (shrink)

My dissertation has two main parts. In the first half, I draw out an underlying presupposition of Descartes' philosophy: what I term "atomism of thought." Descartes employs a radical procedure of doubt in order to show that the first principle of his philosophy, the cogito, is an unshakeable foundation of knowledge. In the dialogue that follows his dissemination of the Meditations, Descartes reveals that a whole set of concepts and rational principles innate in our minds are never doubted. These fundamental (...) units of thought are indivisible, distinct, and isolated, and enable the possibility of any rational demonstration. Atoms of thought are perfectly individuated because God has created them as such. Likewise, our minds have been fashioned such that we necessarily have a clear and distinct perception every time we alight upon these simple notions. In the second part of the dissertation, I take up critiques of Descartes' view given by Nietzsche and Heidegger. In the chapter on Nietzsche, I attempt to fill a lacuna in scholarship about Nietzsche's commentary on Descartes. More specifically, I argue that once the foundation of God is displaced, the basis for accepting atomism of thought dissolves. In the final chapter, I analyze Heidegger's critique of Cartesian atomism. I first look at Heidegger's critique of classical truth as correspondence from Being and Time, and show how it is relevant to a critique of atomism. Then I show how the early Heidegger's holistic philosophical framework can provide an alternative that avoids the pitfalls of atomism. While I limit the scope of my analysis to Descartes' particular formulation, atomism of thought was an influential doctrine throughout modern philosophy. This aspect of Cartesianism has persisted and continues to be a significant theoretical underpinning of many contemporary views. It is my contention that Nietzsche and Heidegger have important contributions to make to this area of thought, and the relative neglect of their work in recent scholarship is a detrimental oversight. (shrink)

The question, "Which modal logic is the right one for logical necessity?," divides into two questions, one about model-theoretic validity, the other about proof-theoretic demonstrability. The arguments of Halldén and others that the right validity argument is S5, and the right demonstrability logic includes S4, are reviewed, and certain common objections are argued to be fallacious. A new argument, based on work of Supecki and Bryll, is presented for the claim that the right demonstrability logic must be contained in S5, (...) and a more speculative argument for the claim that it does not include S4.2 is also presented. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:For More than One Voice: Toward a Philosophy of Vocal ExpressionSarah K. Burgess and Stuart J. MurrayFor More than One Voice: Toward a Philosophy of Vocal Expression. Adriana Cavarero. Trans. Paul A. Kottman. Stanford: Stanford University Press, 2005. Pp. 262. $65.00, hardcover; $24.95, paperback.Adriana Cavarero's most recent book, For More than One Voice, offers the reader a critique of Western metaphysics that challenges the hegemony of speech's (...) relation to thought within politics. Revisiting Aristotle's Politics, Cavarero examines the famous definition of man as "zoon logon echon"—usually translated as "rational animal." She is critical of the tradition that renders logos here as "reason" or "rationality," modeled on the abstract and disembodied Platonic idea. Reading the Politics alongside the Poetics, she brings politics into a distinctly rhetorical sphere, and therefore figures logos as "phone semantike." In this light, man is a "speaking animal," an animal who speaks with a voice (phone) that is meaningful (semantike—an adjectival form that qualifies the voice itself). Cavarero's argument is that voice and meaning—phonic and semantic—must be sharply distinguished. The history of Western philosophy, she contends, has effaced this vital difference and focused instead on speech as a unitary phenomenon in which the vocalic and the semantic are always already joined as meaningful signification. In this way, the singularity of the vocalic itself has been elided in favor of speech that strongly privileges meaning. She therefore wishes to deliver us from language, as it were, through a recuperation of the force of the vocalic, the acoustic, the resonant and sonorous auditory quality of phone.Absent in the history of Western philosophy, this sonorous aspect of the vocalic stands as a corrective to our logocentric metaphysical tradition that singularly values the visual over the acoustic, semantic content over vocal utterances, and an abstract, anonymous "what" over a particular, embodied "who." Cavarero claims that the vocalic is an "anti-metaphysical" force that exceeds and challenges signification. In other words, the vocalic immediately communicates the uniqueness of the speaker without recourse to the signifying content of his or her speech. The voice is essentially relational—a relation that is described as "the condition of every communication.... the communicability of the communicable, or the significance of signification" (29). Indeed, for Cavarero the voice is that which "precedes, generates, and exceeds verbal communication" [End Page 166] (29–30). In this way, remarkably, Cavarero refigures the voice as a presymbolic origin that is both temporally and ontologically prior to signification, as that which is a condition of possibility for signification, and as that which is never exhausted by any signifying speech act as such.The voice is the expression of one unique, embodied individual to another. This expression, a "reciprocal invocation" founded in the sonorous, rhythmic, and resonant materiality of the voice, constitutes a "duet," a musical exchange of voices in and through which individuals mutually invoke one another. Cavarero resists inscribing such a relation within the symbolic realm; yet for her this relation is a "wordless language" that takes place in the paradigmatic scene between mother and infant. Here, in this originary scene, there is not yet the movement of language or speech as such, but the rhythm and cadence of demand and response—the voices of mother and infant that invoke one another. Drawing on Hélène Cixous's and Julia Kristeva's well-known work on the maternal chora, Cavarero demonstrates that the cadence of the "la-la melody" exchanged between mother and infant "configure[s] a reciprocal dependence" (170) that takes a structural form in the movement between demand and response.For Cavarero, the "scene of infancy" enjoys a primacy: it is both ontologically and chronologically prior to the institution of language and law. The maternal chora is figured as that which invisibly underwrites what will be understood as the law of the father—a law that is said to mark the inauguration of language. But if the law of the father is rational and semantic, the maternal should not be conceived as simply irrational and pure sound. For Cavarero, the maternal vocalic demonstrates its own reason through its rhythmic and musical resonance... (shrink)

Charles Mills posits an epistemology of ignorance that underwrites the complicity of Whites, or people of Western European descent, as signatories of the racial contract. There is prevailing discourse about the complicity of White persons in perpetuating racism and whether they can experience epistemic injustice. In this paper, the claim to hermeneutical injustice, in particular, makes a further assertion that moral blameworthiness is mitigated for a subcategory of White Americans because of being socialized into a White-dominant culture of caste-based Afroscepticism. (...) I argue, based on Peirce's conceptualization of doubt, as against Descartes, that Afroscepticism is a totalizing belief system predicated on a racial group-based social epistemology and maintains a settled stance of questioning the commensurate citizenship of Blacks or American descendants of slaves. These perceived social costs warrant educational interventions that can dismantle its reasoning architecture. White Afroscepticism poses a barrier to the teacher’s efforts to cultivate the democratic habitus in students; however, educator preparation that takes its existence into account can build on the standard classroom practices of critical social justice that promote equity, critical multicultural education, and critical thinking. (shrink)

In contemporary society, identities—culture; race; ethnicity; gender; and lesbian, gay, bisexual, and transgender —are at the heart of discourses of belonging and related collectivist constructions of meaning. As distinct social markers, they clearly demarcate the society in ways that also have political implications. The discussion of identity politics below takes a nominally genealogical approach beginning with modern philosophy’s individualistic account. It then decenters this narrative and posits that the field has been ill-equipped to grapple with the power of identity as (...) a source of belonging, a moral critique, and as a site of political conflict. Education is the primary context of the discussion, which is framed as the quest for cultural and social pluralism. Although the term identity has roots in Western philosophy and more recently in psychology, identity politics is a highly contested expression in education, political theory and in philosophy. Bernstein :47–74, 2005) traced its origin as a formal term to 1979, where social science scholars coined the phrase as a label for a type of activism. Its initial iteration pertained to persons with disabilities who challenged prevailing societal perceptions. Over the next two decades, scholars broadened its use to mean a category of collective action that included violent ethnic conflict and activist nationalism. Below, the discussion of the term begins with its semantic and philosophical provenance and explores its discursive engagement with the ever modifying meanings of gender, race or ethnicity and sexual orientation in society and education. It is association with these categories as forms of joint group membership that ipso facto gives rise to political activism to advance beliefs, bring about change or to promote a given worldview. (shrink)

This Handbook provides an interdisciplinary discussion on the role and complexity of ethics in education. Its central aim is to democratise scholarship by highlighting diverse voices, ideas, and places. It is organised into three sections, each examining ethics from a different perspective: ethics and education historically; ethics within institutional practice, and emerging ethical frameworks in education. Important questions are raised and discussed, such as the role of past ethical traditions in contemporary education, how educators should confront ethical dilemma, how schools (...) should be organised to serve all children, and how pluralism, democracy, and technology impact ethics in education. It offers new insights and opportunities for renewal in the complex and often contentious task of ethics and education. (shrink)

Democratic deliberation places the burden of self‐governance on its citizens to provide mutual justifying reasons (Gutmann & Thompson, 1996). This article concerns the limiting effect that group identity has on the efficacy of democratic deliberation for equality in education. Under conditions of a powerful majority, deliberation can be repressive and discriminatory. Issues of white flight and race‐based admissions serve to illustrate the bias of which deliberation is capable when it fails to substantively take group identity into account. As forms of (...) Gilbert's (1994) plural subjects, identity group members holding the group identity can experience agency as the freedom to believe together with members of their group. I argue that attending to how group members acquire group beliefs through trust is a reasonable accommodation of group identity in deliberation. (shrink)

Botswana’s history is one of an unwavering exercise of self-determination and quest for self-rule. Post-independence, self-government prioritized an overarching philosophy of Kagisano or social harmony within which the aims of education were framed, in conjunction with a political commitment to Botho through democracy. For economic and social reasons the current educational policy of Botswana is driven by outcome-based education (OBE), with its metrics of quantifiable outcomes. This article argues that Olúfemi Táíwò’s analysis of decolonization provides a philosophical lens through which (...) to interpret Botswana’s current educational pathway within the prevailing decolonization discourse. OBE clearly exhibits features of neocolonialism, as it pertains to the national value principles. We draw on Ndlovu-Gatsheni’s decolonial epistemic perspective to frame the discussions. Insofar as OBE can be integrated with Botswana’s ethnically inclusive, community-based view of democracy and associated virtues, this is a worthy goal for education, and it could lead to a particular form of indigenized democracy. Substantive distinctions among the concepts of decolonization, neocolonialism, and decoloniality underwrite this thesis. We see the project of envisaging a future of education in Botswana as having to do with disentangling colonialist–imperialist cultural reproduction from indigenous aspirations. (shrink)

Philosophical Logic is a clear and concise critical survey of nonclassical logics of philosophical interest written by one of the world's leading authorities on the subject. After giving an overview of classical logic, John Burgess introduces five central branches of nonclassical logic, focusing on the sometimes problematic relationship between formal apparatus and intuitive motivation. Requiring minimal background and arranged to make the more technical material optional, the book offers a choice between an overview and in-depth study, and it balances (...) the philosophical and technical aspects of the subject.The book emphasizes the relationship between models and the traditional goal of logic, the evaluation of arguments, and critically examines apparatus and assumptions that often are taken for granted. Philosophical Logic provides an unusually thorough treatment of conditional logic, unifying probabilistic and model-theoretic approaches. It underscores the variety of approaches that have been taken to relevantistic and related logics, and it stresses the problem of connecting formal systems to the motivating ideas behind intuitionistic mathematics. Each chapter ends with a brief guide to further reading.Philosophical Logic addresses students new to logic, philosophers working in other areas, and specialists in logic, providing both a sophisticated introduction and a new synthesis. (shrink)

The great logician Gottlob Frege attempted to provide a purely logical foundation for mathematics. His system collapsed when Bertrand Russell discovered a contradiction in it. Thereafter, mathematicians and logicians, beginning with Russell himself, turned in other directions to look for a framework for modern abstract mathematics. Over the past couple of decades, however, logicians and philosophers have discovered that much more is salvageable from the rubble of Frege's system than had previously been assumed. A variety of repaired systems have been (...) proposed, each a consistent theory permitting the development of a significant portion of mathematics. This book surveys the assortment of methods put forth for fixing Frege's system, in an attempt to determine just how much of mathematics can be reconstructed in each. John Burgess considers every proposed fix, each with its distinctive philosophical advantages and drawbacks. These systems range from those barely able to reconstruct the rudiments of arithmetic to those that go well beyond the generally accepted axioms of set theory into the speculative realm of large cardinals. For the most part, Burgess finds that attempts to fix Frege do less than advertised to revive his system. This book will be the benchmark against which future analyses of the revival of Frege will be measured. (shrink)

Dummett's case against platonism rests on arguments concerning the acquisition and manifestation of knowledge of meaning. Dummett's arguments are here criticized from a viewpoint less Davidsonian than Chomskian. Dummett's case against formalism is obscure because in its prescriptive considerations are not clearly separated from descriptive. Dummett's implicit value judgments are here made explicit and questioned. ?Combat Revisionism!? Chairman Mao.

In Michael Stingl argues that the legalization of euthanasia can be made reasonable social policy only in the context of healthcare reform to deliver primary- and community-based care. Stingl accepts that euthanasia and that includes not only pain, but He is not worried The failure of the healthcare system to adequately respond to the needs of people who are suffering with chronic or terminal conditions may lead competent people to elect euthanasia. Stingl argues that it is the institutionalization of care (...) for dying people that reduces their ability to find meaning in prolonged life, and thereby makes it more attractive to consider ending one's life sooner. Options such as palliative care at home that significantly improve quality of life and make euthanasia less attractive are currently only available to those who can privately subsidize healthcare services. If an emphasis is placed on community-based initiatives and well-supported self-help, then there would be less inequality of healthcare and the voluntariness of choices, including euthanasia, would be more equal for all people under the healthcare system. (shrink)

Maughn Rollins Gregory and Meghan Jane Laverty’s Gareth B. Matthews, The Child’s Philosopher explores the Philosophy for Children movement, and the way the work of Gareth B. Matthews carried forward its key components. In this paper, I consider the impact of Matthews’ embeddedness within a Western philosophical tradition, even as he strives mightily to propose a broad-minded approach to P4C. I draw upon the work of Amasa Philip Ndofirepi to explore the tensions and possibilities in reconciling Western and non-Western approaches (...) to P4C. I argue that the social contexts of culture, ethnicity, and nationality can serve to broaden P4C curricula and pedagogy, making it fit for schools in a liberal democratic society. (shrink)

Parsons has given a (nonconstructive) proof that the first-order fragment of the system of Frege's Grundgesetze is consistent. Here a constructive proof of the same result is presented.

This is the first book-length philosophical examination of rape, which has received ample attention from feminists, legal scholars and social scientists.

That the result of flipping quantifiers and negating what comes after, applied to branching-quantifier sentences, is not equivalent to the negation of the original has been known for as long as such sentences have been studied. It is here pointed out that this syntactic operation fails in the strongest possible sense to correspond to any operation on classes of models.