The fundamental problem of Christology is the apparent contradiction of Christ as recorded at Chalcedon. Christ is human and Christ is divine. Being divine entails being immutable. Being human entails being mutable. Were Christ two different persons there’d be no apparent contradiction. But Chalcedon rules as much out. Were Christ only partly human or only partly divine there’d be no apparent contradiction. But Chalcedon rules as much out. Were the very meaning of ‘mutable’ and/or ‘immutable’ other than what they are, (...) there’d be no apparent contradiction. But the meaning is what it is, and changing the meaning of our terms to avoid the apparent contradiction of Christ is an apparent flight from reality. What, in the end, is the explanation of the apparent contradiction of Christ? Theologians and philosophers have long advanced many consistency-seeking answers, all of which increase the metaphysical or semantical complexity of the otherwise strikingly simple but radical core of Christianity’s GodMan. In this paper, I put the simplest explanation on the theological table: namely, Christ appears to be contradictory because Christ is contradictory. This explanation may sound complicated to the many who are steeped in the mainstream account of logic according to which logic precludes the possibility of true contradictions. But the mainstream account of logic can and should be rejected. Ridding theology of the dogma of mainstream logic illuminates the simple though striking explanation of the apparent contradiction of Christ — namely, that Christ is a contradictory being. Just as the simplest explanation to the apparent roundness of the earth has earned due acceptance, so too should the simplest explanation of the apparent contradiction of Christ. (shrink)

_Logic: The Basics_ is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as: · mathematical preliminaries · propositional logic · quantified logic · English and standard ‘symbolic translations’ · tableau procedures. Alongside comprehensive coverage of the standard topics, this thoroughly revised second edition also introduces several philosophically important nonclassical logics, free logics, and modal logics, and gives the reader an idea of (...) how they can take their knowledge further. With its wealth of exercises, _Logic: The Basics _is a useful textbook for courses ranging from the introductory level to the early graduate level, and also as a reference for students and researchers in philosophical logic. (shrink)

Deflationist accounts of truth are widely held in contemporary philosophy: they seek to show that truth is a dispensable concept with no metaphysical depth. However, logical paradoxes present problems for deflationists that their work has struggled to overcome. In this volume of fourteen original essays, a distinguished team of contributors explore the extent to which, if at all, deflationism can accommodate paradox. The volume will be of interest to philosophers of logic, philosophers of language, and anyone working on truth. Contributors (...) include Bradley Armour-Garb, Jody Azzouni, JC Beall, Hartry Field, Christopher Gauker, Michael Glanzberg, Dorothy Grover, Anil Gupta, Volker Halbach, Leon Horsten, Paul Horwich, Graham Priest, Greg Restall, and Alan Weir. (shrink)

Three leading philosopher-logicians present a clear and concise overview of formal theories of truth, explaining key logical techniques. Truth is as central topic in philosophy: formal theories study the connections between truth and logic, including the intriguing challenges presented by paradoxes like the Liar.

The first sentence in this essay is a lie. There is something odd about saying so, as has been known since ancient times. To see why, remember that all lies are untrue. Is the first sentence true? If it is, then it is a lie, and so it is not true. Conversely, suppose that it is not true. As we (viz., the authors) have said it, presumably with the intention of you believing it when it is not true, it is (...) a lie. But then it is true! (shrink)

This chapter attempts to give a brief overview of nonclassical (-logic) theories of truth. Due to space limitations, we follow a victory-through-sacrifice policy: sacrifice details in exchange for clarity of big-picture ideas. This policy results in our giving all-too-brief treatment to certain topics that have dominated discussion in the non-classical-logic area of truth studies. (This is particularly so of the ‘suitable conditoinal’ issue: §4.3.) Still, we present enough representative ideas that one may fruitfully turn from this essay to the more-detailed (...) cited works for further study. Throughout – again, due to space – we focus only on the most central motivation for standard non-classical-logic-based truth theories: namely, truth-theoretic paradox (specifically, due to space, the liar paradox). (shrink)

A longstanding problem confronting Christian theology and its doctrine of incarnation is the apparent contradiction that it faces. For example, to be divine, in the relevant sense, is to have the limitlessness of God. To be human, in the relevant sense, is to have the limitations of humans. The incarnation (in the person of Jesus per Christian doctrine) is to be both divine and human. Many theologians and sympathetic philosophers have attempted to ‘consistentize’ (i.e., make consistent) incarnation. Timothy Pawl has (...) been one of the latest to do so. In this paper, I concisely note a dilemma for Pawl’s approach. (shrink)

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...) position which has profound implications for many linguists as well as for philosophers. We should not search for one true logic, since there are many. (shrink)

Consequence is at the heart of logic; an account of consequence, of what follows from what, offers a vital tool in the evaluation of arguments. Since philosophy itself proceeds by way of argument and inference, a clear view of what logical consequence amounts to is of central importance to the whole discipline. In this book JC Beall and Greg Restall present and defend what thay call logical pluralism, the view that there is more than one genuine deductive consequence relation, a (...) position which has profound implications for many linguists as well as for philosophers. We should not search for one true logic, since there are many. (shrink)

This book argues that the standard (orthodox) doctrine of incarnation (of "God enfleshed") is best understood along glut-theoretic lines: the incarnate God is a contradictory being. Example: because God, the Christ figure is all-knowing; but because human, ignorant. And so on. Standard theological theory in the tradition recognizes the apparent contradiction in its core doctrines; Beall argues that the appearance should be accepted as veridical.

This paper presents a new puzzle for certain positions in the theory of truth. The relevant positions can be stated in a language including a truth predicate T and an operation that takes sentences to names of those sentences; they are positions that take the T-schema A ↔ T to hold without restriction, for every sentence A in the language. As such, they must be based on a nonclassical logic, since paradoxes that cannot be handled classically will arise. The bestknown (...) of these paradoxes is probably the liar paradox – a sentence that says of itself that it is not true – but our concern here is not with the liar. Instead, our focus is a variant of Curry ’s paradox – a sentence that says of itself that if it is true, everything is [3, 5, 7, 11]. In §1, we present the standard version of Curry ’s paradox and the strain of response to it we wish to focus on. This strain of response crucially invokes non-normal worlds: worlds at which the laws of logic differ from the laws that actually hold. In §2, we go on to argue that, in light of temporal curry paradox, this strain of response ought also to accept non-normal times: times at which the laws of logic in the actual world differ from the laws that hold now. We then consider, in §3, what this would mean for the theorists in question. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Ideas 62.3 (2001) 523-541 [Access article in PDF] Antiquarianism, the History of Objects, and the History of Art before Winckelmann Thomas DaCosta Kaufmann [Figures] To the Memory of Franklin LeVan Baumer. In light of postmodernist and poststructuralist trends in the humanities which have contested notions of originality and of authorship, it might seem surprising that one outstanding myth of the eighteenth century has (...) not yet been thoroughly challenged. This is the claim made by Johann Joachim Winckelmann in the foreword to the Geschichte der Kunst des Altertums, originally published in 1764, that he had created a new history of art which was distinct from a history of artists and also different from what had previously been written about antiquities (Altertümer): The history of the art of antiquity, which I have undertaken to write, is no mere account of the chronological order and change of art, but I take the word history in the wider sense, that it has in the Greek language, and my intention is to offer an attempt at a system.... But the essence of art is in every part the most eminent aim, in which the history of artists has little influence, and this [sort of history of artists], which has been compiled by others, is therefore not to be sought here... those who have treated antiquities, examine either only such where erudition was to be applied, or, if they speak of art, this happens in part with common eulogies, or their judgment is built on peculiar, false grounds. 1 [End Page 523]Wolf Lepenies once described this claim as one of the many foundational myths of the Enlightenment and presented instead some parallels between the writing of art history and natural history in the eighteenth century. 2 As interest in the historiography of art has revived, publications have continued to pour forth on Winckelmann. 3 Yet the critique suggested by Lepenies has largely not been followed. Winckelmann's claim to originality remains a starting or major turning point for most accounts of the history of the discipline of art history. 4 [End Page 524]It may be that Winckelmann's claim has remained largely unchallenged because his differentiation of his accomplishment from that of Gelehrsamkeit in particular coincides with and helps to support another distinction made at his time, that between "philosophy," or criticism, and erudition, the latter being at best necessary but inferior. 5 This distinction, which was fostered by the philosophes and their counterparts in other countries, has been frequently heard in scholarly debates, and it is echoed in current discussions where empirical scholarship is disparaged in favor of what is often now called Theory. 6 Thus while in the twentieth century the Enlightenment came in for heavy going starting with at least the critique of Max Horkheimer and Theodor W. Adorno, 7 this is one Enlightenment opinion which, despite the rise of critical theory among other trends in recent scholarship, has gained in fashion, especially in the English-speaking world.But the contrast between philosophy, or critique, and erudition makes a distinction that is ultimately untenable, even if it is also one that has continued to dominate many views of the history of eighteenth-century scholarship. The case at hand suggests that supposed innovations of the eighteenth century in the historiography of art, as in many other fields of study, are much more bound up with late humanism and encyclopedism than their promulgators might have wished to admit. Scholars of a number of disciplines have begun to revise interpretations of the role of the so-called antiquarians of the sixteenth to eighteenth centuries--those who dealt with Altertümer. 8 Some recent studies of the historiography of art have pointed to some connections between the antiquarian tradition and that of the historiography of art. 9 These approaches, however, have primarily dealt with Italian and French writers and, moreover, have left Winckelmann's position largely untouched. 10 Winckelmann's situation in the [End Page 525] broader European historical and geographical context also remains... (shrink)