Supporters of G.W.F. Hegel's philosophy have largely shied away from relating his logic to modern symbolic or mathematical approaches. While it has predominantly been the non-Greek discipline of algebra that has informed modern mathematical logic, philosopher Paul Redding argues that the approaches of Plato and Aristotle to logic were deeply shaped by the arithmetic and geometry of classical Greek culture. And by ignoring the fact that Hegel's logic also has this deep mathematical dimension, conventional Hegelians have missed some of (...) Hegel's greatest insights. In Conceptual Harmonies, Redding develops an account of Hegel's logic against a classical and modern historical background that is rarely considered. He stresses Hegel's attention to the Platonic background of Aristotle's original syllogistic and beyond. He then links these Platonic elements to Leibniz's modern revitalization of the logical tradition and then to new forms of algebraic geometry emerging in Hegel's lifetime. Redding thereby reestablishes aspects of Hegel's philosophy that are essential if Hegel is to be taken as a thinker relevant not only to contemporary philosophy, but also to current philosophical conceptions of logic. (shrink)

Although Hegel is generally not known as a philosopher of mathematics, he maintained a deep interest in the history of mathematics, especially in its transformations between antiquity and the modern age. Charles S. Peirce, who was the son of a distinguished mathematician and was involved in developments in mathematics in the second half of the nineteenth century, was critical of what he perceived as Hegel’s lack of mathematical acumen. Nevertheless, he recognized in Hegel’s Science of Logic structural features of his (...) own mathematically informed philosophy. In this article, I look to Hegel’s discussion of magnitude in The Science of Logic, and especially to his conception of the relation between continuous and discrete magnitudes, in order to articulate a solution he might have offered to difficulties encountered by Peirce in his opposition to Cantor’s set-theoretical analysis of the continuum. It is argued that Hegel’s interest in the ancient Platonic/Pythagorean tradition in mathematics provided him with crucial resources in this regard. (shrink)

On life and philosophy of Nāgārjuna, 2nd century Buddhist philosopher; includes a portion on Buddhism.

1. Does Hegel’s The Science of Logic (Hegel 2010) have any relation to or relevance for what is now known as ‘the science of logic’? Here a negative answer is as likely to be endorsed by many conte...

Verse treatise, with Sanskrit commentary and Telugu paraphrase, by Kānḍūru Nr̥iṃhadāsa, on Acalapūrṇa yoga, a combination of Yoga philosophy and Advaita Vedanta.

Here, I suggest a hitherto relatively unexplored way beyond the opposed Aristotelian realist and Kantian idealist approaches that divide recent interpretations of the categories or “thought determinations” of Hegel’s Logic, by locating his idealism within the terrain of recent debates in modal metaphysics. In particular, I return to the outlook of the first philosopher to attempt to bring Hegel into the analytic conversation, John Niemeyer Findlay, and consider Hegel’s idealism as instantiating the metaphysical position that, following the work of Findlay’s (...) former student, Arthur Prior, has come to be called “modal actualism”. (shrink)

This 2007 book examines the possibilities for the rehabilitation of Hegelian thought within analytic philosophy. From its inception, the analytic tradition has in general accepted Bertrand Russell's hostile dismissal of the idealists, based on the claim that their metaphysical views were irretrievably corrupted by the faulty logic that informed them. These assumptions are challenged by the work of such analytic philosophers as John McDowell and Robert Brandom, who, while contributing to core areas of the analytic movement, nevertheless have found in (...) Hegel sophisticated ideas that are able to address problems which still haunt the analytic tradition after a hundred years. Paul Redding traces the consequences of the displacement of the logic presupposed by Kant and Hegel by modern post-Fregean logic, and examines the developments within twentieth-century analytic philosophy which have made possible an analytic re-engagement with a previously dismissed philosophical tradition. (shrink)

Hegel makes claims about the relation of philosophy to religion that might raise concerns for those who want to locate his philosophy generally within the modern enlightenment tradition. For example, at the outset of his Lectures on Aesthetics he claims that philosophy “has no other object but God and so is essentially rational theology”.1 What might seem to placate worries here is that Hegel of course differentiates between the forms of religious and philosophical cognition in which such a content is (...) presented: while religion grasps this content in the form of imagistic or figurative representations [Vorstellungen], philosophy grasps it within conceptual thought, an attitude which might seem to align him with that found within the German enlightenment, for example, that found in Lessing and Kant. However, it seems undeniable that, in comparison to Kant, for example, Hegel employs forms of expression for the presentation of his own philosophical thought that are redolent with the type of imagistic and figurative locutions supposedly at home in religion. Moreover, the actual imagery employed seems to refer to the type of trinitarian version of Christianity that can seem antithetical to those forms of Christian thought that lent themselves to the sort of “demythologization” characteristic of the enlightenment attitude to religious doctrine. Such factors as these make it easy to portray Hegel’s philosophy as a type of irrationalist mysticism,2 or at least as a disguised theology with a content from revealed religion, and thus aligning him more to the spirit of the Counter-Enlightenment than the Enlightenment. (shrink)

For many recent readers of Hegel, Wilfrid Sellars’s 1956 London lectures on the “Myth of the Given” have signaled an important rapprochement between Hegelian and analytic traditions in philosophy. Here I want to explore the ideas of another philosopher, also active in London in the 1950s, who consciously pursued such a goal: John N. Findlay. The ideas that Findlay brought to Hegel—sometimes converging with, sometimes diverging from those of Sellars—had been informed by his earlier study of the Austrian philosopher Alexius (...) Meinong, and transformations of Meinong’s ideas by his student, the logician Ernst Mally. These ideas that Findlay found Hegel-friendly are ones that have had a particular bearing on more recent analytic modal metaphysics, especially via the work of Findlay’s own former student, Arthur Prior. Given this, we might not be surprised at the similarities between the type of actualist interpretation of modal logic that Prior offered in opposition to David Lewis’s variant on Leibnizian possibilism, and Hegel’s approach to the category of “Actuality” [Wirklichkeit] at the end of the Objective Logic of The Science of Logic. But the similarities, I suggest, do not end there, as elements of Hegel treatment of predication in the Subjective Logic parallel similar elements found in the work of Mally and, more recently, “modal actualists” such as Prior and Stalnaker. In this paper I explore some puzzling features of Hegel’s treatment of predication in the Subjective Logic from the point of view of the need for a logic for thought about the modally complex actual world, as Hegel conceived it. (shrink)

McDowell’s attempts to find a way out of the grip of some seemingly intractable problems besetting analytic philosophy has led him back to Kant and Hegel. Understanding, with Kant, the role played by concepts in experience will point the way forward, but Kant’s thinking must be released from its own problems which threaten to reduce the contents of experience and knowledge to “facts about us”. Kant’s “subjectivism” must be subjected to an “Hegelian” critique. However, McDowell’s solution to that problem, which (...) involves a radical reinterpretation of Kant’s concept–intuition distinction, introduces new problems. Here I contrast McDowell’s reinterpretation of the intuition–concept relation with a less radical one suggested by Wilfrid Sellars, and based on his diagnosis of the ambiguity of Kant’s notion of intuition. The Sellarsian modest revision of Kant both gives a better account of perceptual experience and helps us better to understand the step that Hegel had taken beyond Kant. (shrink)

Between 1933 and 1939 Alexandre Kojève gave his series of celebrated lectures on Hegel’s Phenomenology of Spirit at the École Pratique des Hautes Études in Paris. Importantly, Kojève claimed to be reading Hegel in the wake of a philosopher whom he considered to be, along with Marx, the only important philosopher since Hegel - Martin Heidegger, whose Being and Time had appeared in 1927. Indeed, Kojève went so far as to claim that Hegel’s Phenomenology “would probably never have been understood (...) if Heidegger had not published his book”. (shrink)

Recently a view of Hegel’s “idealism” which hitherto had seemed unquestionable—the view that it is fundamentally a metaphysical doctrine—has been seriously challenged. Thus yesterday’s metaphysical Hegel, complete with his cosmic megasubject hidden behind the events of nature and history, has been joined by today’s “nonmetaphysical Hegel,” the postkantian categorial “genealogist.” According to the nonmetaphysical Hegelians, a century and a half of misunderstanding has been based on the confusion of two distinct philosophical projects: on the one hand, that originating in the (...) Aristotelian project of “ontology”—the reconstruction of the categorial structure of to on e on, “being qua being”—and on the other, that stemming from the very different Aristotelian project of “theology”—the investigation of to theion, primary being or that which is first in the order of substances. (shrink)

Contributed papers on concept of False and Indivisibles (Philosophy) in Hindu philosophy presented at Seminar organized by Department of Advaita Vedanta, Rāṣṭrīyasaṃskr̥tavidyāpīṭham, Tirupati from December 31, 2005 to January 01, 2006).

An advance on recent revisionist thinking about Hegelian philosophy, this book interprets Hegel's achievement as part of a revolutionary modernization of ...

This paper examines Hegel’s accounts of the nature of judgements and inferences in the ‘subjective logic’ of the Science of Logic, and does so in light of the history of the tradition of formal logic to his time. It is argued that, contrary to the attitude often displayed by interpreters of Hegel’s logic, it is important to understand the positive role played by formal logic, ‘logic commonly so called’, in Hegel’s own conception of logic. It is argued that Hegel’s own (...) scientific presentation [Darstellung] of logic relies on a dialectic working through the tradition of formal logic from Aristotle to Leibniz. The positions within the dialectic are most easily brought into focus in terms of the distinction between Aristotelian and Stoic logic, but they can also be seen as internal to Aristotelian logic. The logical tradition can be regarded as presenting a type of reductio ad absurdum, and a science of logic must examine what it was about Aristotle’s original project that brought it to this fate. (shrink)

Volume 2, Issue 4, December 2018, Page 355-364.

(Author’s reply at “Author-Meets-Critics” session (on Paul Redding, Analytic Philosophy and the Return of Hegelian Thought) at the Annual Meeting of the American Philosophical Association, Pacific Division, Vancouver, April 10, 2009. Robert Brandom’s “critic’s” contribution is available as “Hegel and Analytic Philosophy” from his website http://www.pitt.edu/~brandom/.).

Academic psychology has become increasingly non-diverse politically, which skews and impedes social psychological science (as Duarte et al. argue). We should embrace viewpoint diversity, especially since the arguments favoring sociopolitical diversity are identical to those for demographic and cultural diversity. Doing so will produce a more robust, open, and creative psychological science that is informed and tested by a multiplicity of sociopolitical paradigms.

The understanding of Hegel's metaphysics that is here argued for—that it is a metaphysics of the actual world—may sound trivial or empty. To counter this, in part one the actualist reading of Hegel's idealism is opposed to two other currently popular interpretations, those of the naturalist and the conceptual realist respectively. While actualism shares motivations with each of these positions, it is argued that it is better equipped to capture what both aim to bring out in Hegel's metaphysics, but also (...) better able to resist criticisms of each of these opposed positions made from the viewpoint of the other. Like the conceptual realist, the actualist wants to affirm the objectivity of concepts in the world—an idea that can seem antithetical to the naturalist. While the position of “liberal naturalism” makes concessions to such a position, this feature is more easily accommodated by the actualist. However, like the liberal naturalist, the actualist is also suspicious of an implicit “supernaturalist” dimension of conceptual realism and, by weakening the scope of realism to the actual world, is better able to avoid it. The second and third parts of the paper attempt to show how the actualist position is reflected in Hegel's account of judgments and syllogisms in The Science of Logic. His account of judgments provides an irreducible place for judgments that are object-presupposing on the one hand and subject-locating on the other. Because such judgments are the components of syllogisms, these syllogisms have objectivity, but this is a type of objectivity within which we, as subjects, are by necessity located. The actual world has a conceptual structure because we conceptualizing beings belong to it. (shrink)

In this paper I return to the familiar territory of the Lord-Bondsman "dialectic" in Hegel's Phenomenology of Spirit in order to raise the question of the relation of Hegel's use of the theme of recognition there to Fichte's. Fichte had introduced the notion of recognition in his Foundations of Natural Right, to "deduce" the social existence of humans within relations of mutual recognition as a necessary condition of their very self-consciousness. However, there it also functioned as part of a solution (...) to a problem within the work on which the theory of rights was meant to be based, the earlier Foundation of the Complete Wissenschaftslehre of 1794-5. In Hegel's classic account in chapter 4 of the Phenomenology we find recognition offered as a solution to a problem within an account of "self-consciousness" that has a number of clearly Fichtean features. But I suggest that to the degree that the lord-bondsman episode there expresses any "theory of recognition", it is not Hegel’s own theory but rather his interpretation of Fichte's, a theory of which he is critical. Freed from this misleading assumption that the "lord-bondsman dialectic" represents something deep about Hegel's own philosophy, we might then be more able to get clearer about Hegel's actual views about recognition and the role it plays in his own philosophy. (shrink)

Putting it very crudely, it might be said that in the much discussed opening three chapters that make up the section “Consciousness” of his Phenomenology of Spirit Hegel sketches and “test-drives” various models for a consciousness able to experience and know the world.1 Kant had thought of objects of experience as necessarily having conceptual (as well as spatio-temporal) form, but non-conceptual (“intuitional”) content. But for Hegel, that objects show themselves to have a conceptual form emerges as one the first lessons (...) of experience as tracked in Chapter 1. Moreover, in contrast to Kant’s focus on the unity and stability of such form, Hegel wants to display a series in which successive “shapes of consciousness” emerge from the resolution of contradictions affecting their predecessors.2 We might say that while Kant had famously asserted the identity of “the conditions of the possibility of experience in general” and the “conditions of the possibility of the objects of experience”,3 Hegel points to the ever-present tension between them, examining the fate of particular conceptions of the constitution of objects in the light of the “experience” based upon those conceptions, and with this transforms philosophy’s task, as Kant conceives it. Thus in the place of the reconfigured metaphysical project signalled by Kant which gives a definitive map of “what reason brings forth entirely out of itself” via the discovery of “reason’s common principle”,4 Hegel radically historicizes reason into a series of particular finite forms, each driven to selfovercoming because of the constitutive contradictions at its centre. (shrink)

Hegel’s treatment of ‘Moralität’ in both the Phenomenology of Spirit and the Philosophy of Right provides important clues as to how he conceives the recognitive dynamics of modern moral life. As ‘spirit that is certain of itself’, morality as comprehended in the Phenomenology is the final form of spirit [Geist], which, in Hegel’s exposition, follows ‘reason’ which itself had followed ‘consciousness’ and ‘self-consciousness’. Spirit had first been considered in its objective form as an ‘in itself’. This was the ‘true spirit’ (...) of the ethical world of antiquity. As something ‘for itself’, spirit had then been considered in its self-alienated form as ‘culture’ which had culminated in an analysis of modern politics—specifically the political project of ‘absolute freedom’, the French Revolution, and the terroristic consequences that had been so acutely linked to the modern rationalist political project by Schiller. But, as many have pointed out, if Rousseau was the theorist of the modern political struggle for autonomy, Kant had an equally revolutionary conception of moral autonomy, which, like Rousseau, put the idea of a self-legislating will at the centre of thought. Such an internalization of the self-legislating will, however, now reveals the proper object for judgment in terms of the evaluative polarity of good and bad—the will itself. This evaluation becomes the task of conscience. In this paper I examine Hegel’s treatment of the role of conscience in moral judgment in the light of his relationship to Fichte, and interpret it in terms of a broadly conceived pragmatics of reason-giving in moral life implicit in his concept of intersubjective recognition [Anerkennung]. (shrink)

In the 1930s, C. I. Lewis, who was responsible for the revival of modal logic in the era of modern symbolic logic, characterized ‘intensional’ approaches to logic as typical of post-Leibnizian ‘continental philosophy’, in contrast to the ‘extensionalist’ approaches dominant in the British tradition. Indeed Lewis’s own work in this area had been inspired by the logic of his teacher, the American ‘Absolute Idealist’, Josiah Royce. Hegel’s ‘Subjective Logic’ in Book III of hisScience of Logic, can, I suggest, be considered (...) as an intensional modal logic, and this paper explores parallels between it and a later variety of modal logic—tenselogic, as developed by Arthur Prior in the 1950s and 60s. Like Lewis, Prior too had been influenced in this area by a teacher with strong Hegelian leanings—John N. Findlay. Treated as anintensional(with an ‘s’) logic, Hegel’s subjective logic can be used as a framework for addressing issues ofintentionality(with a ‘t’)—the mind’s capacity to be intentionally directed to objects. In this way, I suggest that the structures of his subjective logic can clarify what is at issue in the ‘Psychology’ section of theEncyclopaediaPhilosophy of Subjective Spirit. (shrink)

In his recent book James Kreines argues that for Hegel reason is “in the world”, but how we are to understand the idea of reason's being so located? One answer, suggested by more traditional theocentric readings of Hegel, would be to appeal to the idea of a divine thought, coursing through the world. Another answer, more congenial to modern sensibilities, might locate reason within the rational activities of inter-subjectively connected human beings, as suggested by Terry Pinkard's idea of the “sociality (...) of reason”. Kreines seems to want to avoid suggestions of the former, but in distancing himself from approaches like the latter, he also seems to refuse the more metaphysically modest alternative. In retracing the contours of Kreines's nuanced attempt to reinflate Hegel's metaphysics as a “metaphysics of reason”, I pose the question as to whether he can avoid reintroducing a more extravagantly metaphysical Hegel than he wishes. (shrink)

Even among those philosophers who hold particular aspects of Hegel's philosophy in high regard, there have been few since the 19th century who have found Hegel's "metaphysics" plausible, and just as few not sceptical about the coherency of the "logical" project on which it is meant to be based. Indeed, against the type of work characteristic of the late nineteenth-century logical revolution which issued in modern analytic philosophy, it is often difficult to see exactly how Hegel's "logical" writings can be (...) read as a contribution to logic at all. Furthermore, any tendency toward skepticism here can only have been reinforced by the well-known views of Bertrand Russell about the logical inadequacy of the "Hegelian" approach of his predecessors. (shrink)

In his program of analytic pragmatism, Robert Brandom has presented a thoroughgoing reinterpretation of the place of analytic philosophy in the history of philosophy by linking his own non-representational ‘inferentialist’ approach to semantics to the rationalist – idealist tradition, and in particular, to Hegel. Brandom, however, has not been without his critics in regard to both his approach to semantics and his interpretation of Hegel. Here I single out four interlinked problematic areas facing Brandom's inferentialist semantics – his approach of (...) perceptual content, to de re attitudes, to perceptual experience and to modality, and then go on to contrast the different approach to these issues that is found in Hegel. While Hegel can helpfully be understood as anticipating an inferentialist semantics as Brandom claims, his is a weak inferentialism in contrast to Brandom's strong version. With his weakly inferentialist approach Hegel can, I suggest, be seen as providing a solution to the tangle of problems.. (shrink)

In this paper, I approach Hegel’s philosophy under the banner of a “Keplerian Revolution”, the implicit reference being, of course, to Kant’s supposed Copernican philosophical revolution. Kepler had been an early supporter of the Copernican paradigm in astronomy, but went well beyond his predecessor, and so is invoked here in an attempt to capture some of the important ways in which Hegel attempted to go beyond the philosophy of Kant. To make these issues more determinate, however, Hegel’s Keplerian orientation will (...) not be presented in its contrast to Kant’s “Copernicanism” as such, but as contrasted with that of another early follower of Copernicus, Giordano Bruno, and this Brunian orientation will be used to characterize Kant’s philosophy as seen from Hegel’s rival Keplerian point of view. Interpreting Hegel as a philosophical Keplerian will require that we broach those worrisome aspects of Kepler’s astronomy, namely his support for Plato’s cosmology and the tradition of the “music of the spheres”, but this will be shown to have connections to Hegel’s own approach to logic. This in turn will help shed light on the meaning of Hegel’s form of idealism and, in particular, on its usually unacknowledged Platonic dimensions. (shrink)

Thom Brooks'sHegel's Political Philosophy: A Systematic Reading of the Philosophy of Rightpresents a very clear and methodologically self-conscious series of discussions of key topics within Hegel's classic text. As one might expect for a ‘systematic’ reading, the main body of Brooks's text commences with an opening chapter on Hegel's system. Then follow seven chapters, the topics of which are encountered sequentially as one reads through thePhilosophy of Right. Brooks's central claim is that too often Hegel's theories or views on any (...) of these topics are misunderstood because of a tendency to isolate the relevant passages from the encompassing structure of thePhilosophy of Rightitself, and, in turn, from Hegel's system of philosophy as a whole, with its logical underpinnings. Brooks is clearly right in holding that Hegel hadintendedthePhilosophy of Rightto be read against the background of ‘the system’ and the ‘logic’ articulating it —nobody doubts that— but there is a further substantive issue here.Shouldcontemporary readers heed Hegel's advice? Brooks's answer is emphatically in the affirmative, and what results is a series of illuminating discussions in which he makes a case for his own interpretations on the basis of systematic considerations, presented against a range of alternatives taken from the contemporary secondary literature, which is amply covered, often in the extensive endnotes to the book. (shrink)

In the "Preface" to this English translation of a book first published in German a decade ago, the author notes a change in recent philosophical culture bearing on the project he had undertaken in it. When he had first started working on the book there had been little if any interest in Hegel among analytic philosophers (including German speaking ones), while orthodox Hegel scholars had generally thought that there was little to be gained by utilizing analytic approaches in their attempt (...) to clarify and evaluate Hegel's claims. Quante's project, which relates Hegel's account of action to the sorts of analyses found in the influential approaches of analytic philosophers such as Elizabeth Anscombe and Donald Davidson, must have initially seemed a rather lonely one. Now, however, things must seem considerably brighter. In the year of its original publication, 1994, there appeared works by Robert Brandom Making It Explicit ) and John McDowell Mind and World ) which seemed to be concerned with opening up, from the English speaking analytic side of the divide, the type of dialogue that Quante himself was calling for from the side of German Hegel scholarship. Given the widespread interest excited by those two books, Quante might now feel decidedly optimistic about finding a receptive audience. (shrink)

Around the turn of the twentieth century, Wilhelm Dilthey, in his reflections on the nature of history as a “Geisteswissenschaft”—a science of “spirit” as opposed to “nature”—appealed “to Hegel’s notion of “spirit” (Geist). Attempting to extract Hegel’s concept from what he considered the unsupportable metaphysical system within which it had been developed, Dilthey, a neo-Kantian, gave it a broadly epistemological significance by correlating it with a distinct type of “understanding” (Verstehen) that was foreign to the Naturwissenschaften, concerned as they were (...) with explanation (Erklären) of phenomena in terms of laws of nature. Moreover, the paradigm of such an anti-naturalistic approach to history was not Hegel’s philosophical approach to history, but the strongly empiricist practice of the romantic “historical school”, found paradigmatically in the work of Leopold von Ranke. (shrink)

Terry Pinkard has been a leading figure within the revival of Hegelian philosophy over the last quarter century, together with Robert Pippin articulating an innovative and influential interpretation of Hegel as the rightful successor to Kant’s distinctly modern critique of “dogmatic metaphysics.” In Does History Make Sense?, he attempts the challenging task of rescuing Hegel’s philosophy of history, drawing on his earlier account of Hegel as a kind of “modified Aristotelian naturalist,” here sketched in chapter 1. Given that the picture (...) of Hegel as an Aristotelian “conceptual realist” has been popular with critics of the post-Kantian... (shrink)