Hegel’s logic of finitude

In ??Violence and Metaphysics?? Jacques Derrida suggests that ??the only effective position to take in order not to be enveloped by Hegel would seem to be??to consider false-infinity??irreducible.?? Inversely, refuting the charge of logocentrism associated with Hegelian true infinity (wahrhafte Unendlichkeit) would involve showing that Hegel??s speculative logic does not establish the infinity of being exempt from the negativity of the finite. This paper takes up Derrida??s challenge, and argues that true infinity is crucial to Hegel??s understanding of ideality as a question of normative authority, which does not fall prey to logocentrism. Through an exposition of the dialectic of the finite and the infinite in Hegel??s Science of Logic, I argue that true infinity is not an ontological category that eliminates division, but rather refers to the metalogical standpoint involved in a philosophical account of determinacy. Although fully achieved at the end of the Logic, the metalogical standpoint that Hegel elaborates in the Seinslogik under the banner of the true infinite already clarifies that determinacy is a product of normative authority that is itself precarious.     

Hobson’s Conception of Definable Numbers

In this paper, I explore an intriguing view of definable numbers proposed by a Cambridge mathematician Ernest Hobson, and his solution to the paradoxes of definability. Reflecting on König’s paradox and Richard’s paradox, Hobson argues that an unacceptable consequence of the paradoxes of definability is that there are numbers that are inherently incapable of finite definition. Contrast to other interpreters, Hobson analyses the problem of the paradoxes of definability lies in a dichotomy between finitely definable numbers and not finitely definable numbers. To bypass this predicament, Hobson proposes a language dependent analysis of definable numbers, where the diagonal argument is employed as a means to generate more and more definable numbers. This paper examines Hobson’s work in its historical context, and articulates his argument in detail. It concludes with a remark on Hobson’s analysis of definability and Alan Turing’s analysis of computability.     

Chateaubriand’s Realist Conception of Logic

Axiomathes - I present the realist conception of logic supported by Oswaldo Chateaubriand which integrates ontological and epistemological aspects, opposing it to mathematical and linguistic...     

Il’enkov’s Hegel

This paper examines Hegel’s place in the philosophy of Eval’d Il’enkov (1924–1979). Hegel’s ideas had a huge impact on Il’enkov’s conception of the nature of philosophy and of the philosopher’s mission, and they formed the core of his distinctive account of thought and its place in nature. At the same time, Il’enkov was victimized for his “Hegelianism” throughout his career, from the time he was sacked from Moscow State University in 1955 to the ideological criticisms that preceded his death in 1979. After considering Hegel’s influence on the history of Russian thought, the paper focuses on Hegelian themes in Il’enkov’s 1974 book, Dialekti?eskaja logika and evaluates their philosophical significance. Finally, parallels are explored between Il’enkov’s situation at the end of his life and the plight of Nikolaj Bukharin, incarcerated in the Lubjanka prison in 1936 and at work on Philosophical arabesques. Both thinkers confronted the contradiction between their confidence in the rationality of history and the tragic absurdity of Soviet reality, and both responded by affirming their fidelity to Lenin and his vision of Marxism. In this way, they sought to make sense of their respective situations in the face of extreme adversity. That they so much as thought it worth trying owed much to Hegel’s influence.     

Hegel’s Secular Theology

This essay attempts to present Hegel as a secular theologian and to argue that the theological dimension of Hegel’s thought is central to his entire philosophy and is, in fact, the leitmotif that draws together all of his work. The task of overcoming the dualism between the sacred and the secular provides the driving spirit of all Hegel’s endeavors, from his juvenilia to the mature thought of his Heidelberg and Berlin periods. A secular theology demonstrates its commitment to secularity through three main affirmations: (1) the full reality and significance of this world, (2) the autonomy of the different fields of culture and knowledge besides that of religion, and (3) the epistemological authority of reason and shared experience in determining the real and the true. Hegel’s secular theology, however, has an ambiguous relationship with most forms of theism, including panentheism.     

Revising Carnap’s Semantic Conception of Modality

I provide a tableau system and completeness proof for a revised version of Carnap??s semantics for quantified modal logic. For Carnap, a sentence is possible if it is true in some first order model. However, in a similar fashion to second order logic, no sound and complete proof theory can be provided for this semantics. This factor contributed to the ultimate disappearance of Carnapian modal logic from contemporary philosophical discussion. The proof theory I discuss comes close to Carnap??s semantic vision and provides an interesting counterpoint to mainstream approaches to modal logic. Despite its historical origins, my intention is to demonstrate that this approach to modal logic is worthy of contemporary attention and that current debate is the poorer for its absence.     

Thinking Through Kant’s Conception of Pedagogy

Studies in Philosophy and Education -     

Adorno’s View of Life

The aim of this article is to reflect on the dialectic of the individual’s life and death in terms of Adorno’s moral philosophy, specifically through a thorough reading of his Negative Dialectics and other key works on the subject. I hold that there are two aspects of the dialectic of life within the context of Adorno’s “nonidentity”: one involves exploring the false identification, due to the reification of modern society, of the individual’s life experience with her or his death experience, while the other involves preserving the dialectical and irreducible tension between the theoretical contemplation of life and of historical conditions, as well as specific social systems. Heidegger’s ontological philosophy concerning Dasein and Kant’s categorical imperative will also be discussed in order to fully understand Adorno’s moral philosophy and his idea of nonidentity. From my point of view, Adorno’s moral philosophy is the prime motivator of his unique concept of nonidentity, and has influenced contemporary political philosophical concepts such as biopolitics (cf. G. Agamben).     

The Role of Marriage in Hegel’s Phenomenology

In the Phenomenology of Spirit, Hegel discusses marriage in his analysis of the first shape of Spirit, Ethical Life. Since it is analyzed in terms of a particular shape of spirit and set in Ancient Greece, it is difficult to understand both its use in the Phenomenology as well as what claims, if any, he is making about the institution of marriage as such. I aim to show that in this text, marriage functions as a fundamental context in which self-knowing occurs.     

Revisiting McGee’s Probabilistic Analysis of Conditionals

Journal of Philosophical Logic - This paper calls for a re-appraisal of McGee’s analysis of the semantics, logic and probabilities of indicative conditionals presented in his 1989 paper...     

Review of G. Felicitas Munzel’s Kant’s Conception of Pedagogy: Toward Education for Freedom

Studies in Philosophy and Education -     

Revisiting Reichenbach’s logic

Synthese - In this paper we show that, when analyzed with contemporary tools in logic—such as Dunn-style semantics, Reichenbach’s three-valued logic exhibits many interesting features,...     

The Music of Dan’s Life

ABSTRACT

In a persistent quest for understanding of what animates life and produces human experience, Daniel Stern was able to put the unspeakable into words. Impregnated with the world of childhood, he described the Forms of Vitality, rendering as never before the ubiquity of the music of life that animates and underlies the unfolding of movement and action. This concept opens new horizons for many disciplines.

Examples will describe advances in neuroscience or for the diagnosis of autism, as well as the essential function of human relationships in early development.     

Irrationality and egoism in Hegel’s account of right

ABSTRACT

Many interpreters argue that irrational acts of exchange can count as rational and civic-minded for Hegel – even though, admittedly, the persons who are exchanging their property are usually unaware of this fact. While I do not want to deny that property exchange can count as rational in terms of ‘mutual recognition’ as interpreters claim, this proposition raises an important question: What about the irrationality and arbitrariness that individuals as property owners and persons consciously enjoy? Are they mere vestiges of nature in Hegel’s system, or do they constitute a simple yet valid form of freedom that is not only a part of Hegel’s rational system of right, but its necessary starting point? I will argue the latter: The arbitrary, purely egoist self-definition of property owners is the simplest possible type of freedom for Hegel, which he dissects in order to show how the very arbitrary self-definition implicitly relies on an identity between persons, and hence foreshadows the more social forms of freedom Hegel will discuss later in his book. I make this argument by highlighting Hegel’s references to his discussion of atoms and freedom in his Logic of Being.     

Despair and the determinate negation of Brandom’s Hegel

In this paper, I contend that Brandom’s interpretive oversights leave his inferentialist program vulnerable to Hegelian critique. My target is Brandom’s notion of “conceptual realism,” or the thesis that the structure of mind-independent reality mimics the structure of thought. I show, first, that the conceptual realism at the heart of Brandom’s empiricism finds root in his interpretation of Hegel. I then argue that conceptual realism is incompatible with Hegel’s thought, since the Jena Phenomenology, understood as a “way of despair,” includes a critique of the philosophical framework upon which conceptual realism relies. Finally, I offer the Hegelian critique of Brandom that results from these textual infidelities.     

Discernment and Denial: Nanotechnology Researchers’ Recognition of Ethical Responsibilities Related to Their Work

To what extent do nanotechnology researchers discern specific work-related ethical responsibilities that are incumbent upon them? A questionnaire was designed and administered to answer this question. Analysis of responses to 11 ethical responsibility statements (ERSs) by 213 researchers at the Stanford Nanofabrication Facility revealed widespread agreement about a number of work-related ethical responsibilities and substantial divergence in the views about several others. Explanations of this divergence are proposed. A new variable is defined that gauges the respondent’s overall level of discernment of the ethical responsibilities referenced in the ERSs. The mean discernment level score for respondents who had taken a course that included discussion of ethical issues closely related to science, technology, or engineering was significantly higher than for those who had not. Further, among respondents who had taken such a course, the mean discernment level score for those who had taken an ethics course devoted to exploration of ethical issues closely related to science, technology, or engineering was significantly higher than for those who had taken a technical science or engineering course that typically pays only fleeting attention to such issues. Implications of these findings are discussed.     

Beyond Death’s (and Conception’s) Door: The Unsettling Limitations of Incarnate Existence

The psychological effects of contemplating one’s death have received much empirical attention, but the impact of thinking about one’s conception—the other temporal endpoint of physical existence—has not. Across three experiments, reflecting on conception or death (vs. a neutral topic) led to increased framing of sexual reproduction as miraculous and sacred, intensified belief in discarnate immortality, and a greater desire to experience a discarnate state that offered no direct assurance of literal immortality. Thinking about death uniquely evoked greater anxiety as well as greater desire for an experience that offered assurance of literal immortality, congruent with the tenets of terror management theory. Nevertheless, the parallel effects evoked by reflecting on conception and death also suggest that both amplify the aversive salience of the limitations inherent to physical existence, such that people respond by seeking experiences and adjusting attitudes/beliefs to divert attention from the physical body.     

Does Guiji Mean Egoism?: Yang Zhu’s Conception of Self

Mencius portrayed Yang Zhu as an egoist. But the seeming consensus of scholars is that Yang Zhu was not an egoist. Despite that, however, a passage in the Lüshi chunqiu, a third century BCE text, appears to confirm Mencius’s characterization. It says that Yang Zhu valued self (guiji). In this paper, I examine the meaning of guiji. Specifically, I investigate on the term ji to reveal the meaning of guiji and elaborate on its possible implications. Ultimately, I show that with Yang Zhu’s possible conception of self, guiji does not necessarily mean egoism.