Indeterminacy,A Priority,and Analyticity in the Quinean Critique

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Logic and Philosophy of Logic in Wittgenstein

This essay discusses Wittgenstein's conception of logic, early and late, and some of the types of logical system that he constructed. The essay shows that the common view according to which Wittgenstein had stopped engaging in logic as a philosophical discipline by the time of writing Philosophical Investigations is mistaken. It is argued that, on the contrary, logic continued to figure at the very heart of later Wittgenstein's philosophy; and that Wittgenstein's mature philosophy of logic contains many interesting thoughts that have gone widely unnoticed.     

Gloria Anzaldúa's Affective Logic of Volverse Una

Although Gloria Anzaldúa's critical categories have steadily entered discussions in the field of philosophy, a lingering skepticism remains about her works’ ability to transcend the particularity of her lived experience. In an effort to respond to this attitude, I make Anzaldúa's corpus the center of philosophical analysis and posit that immanent to this work is a logic that lends it the unity of a critical philosophy that accounts for its concrete, multilayered character and shifting, creative force. I call this an “affective logic of volverse una.” Starting with the understanding of a situated modality of all subjectivity, Anzaldúa's work exhibits a logic of three moments distinguished by states of awareness. Each state of awareness is characterized by the generative degree of the subject's responses to its conditions: critical, individuating, and expansive. Led by her late concepts of conocimiento and nepantlera, I return to her earlier works and trace Anzaldúa's innovative exploration of undoing the oppressive condition of marginal subjectivities from “La Prieta” through Borderlands/La Frontera to her final published essay “now let us shift.” I find a liberatory schema of volverse una/becoming whole that is grounded in an active receptivity of sensibility and facilitated by affective technologies for transformation.     

Heidegger’s Concept of Truth Reconsidered in Light of Tugendhat’s Critique

Ernst Tugendhat’s critique of Martin Heidegger’s conception of truth is an ongoing topic in Heideggerian scholarship. In this paper, I contribute to the ongoing exchange between defenders of Heidegger and those who are in agreement with Tugendhat. Specifically, I contend that Tugendhat’s criticisms fail to situate Heidegger’s account of truth within his broader phenomenological–hermeneutic project. In the end, Tugendhat’s critique is grounded upon philosophical assumptions that Heidegger is bringing under question by rethinking the concept of truth. I suggest that thinking through Tugendhat’s critique and attempting to formulate an adequate Heideggerian response gives us a richer understanding of both Heidegger’s account of truth and his general philosophical project.     

Heidegger,Catholicism and the History of Being

ABSTRACT

This paper aims to rebuild the relationship between the Seinsfrage and Catholicism in Heidegger’s meditation and to shed light on his critique to Christianity (in terms of Christentum) as a philosophical necessity rooted in his broader critique of modernity in the context of the Black Notebooks. In order to reach these purposes, this contribution will be articulated in two parts: in the first one, I will rebuild Heidegger’s relationship to Catholicism and in the second one, I will focus on Black Notebooks as important tools in understanding Heidegger’s critique to Catholicism, a critique that is built on three levels: historical, speculative and political. The essay will show how the Schwarze Hefte illuminate Heidegger’s attempts to answer the question of Being in an incessant tension with the coeval seven major treatises on the Seinsgeschichte, in which Christianity, metaphysics and nihilism are inextricably tied together.     

Modal Logic As Dialogical Logic

The title reflects my conviction that, viewed semantically,modal logic is fundamentally dialogical; this conviction is based on the key role played by the notion of bisimulation in modal model theory. But this dialogical conception of modal logic does not seem to apply to modal proof theory, which is notoriously messy. Nonetheless, by making use of ideas which trace back to Arthur Prior (notably the use of nominals, special proposition symbols which name worlds) I will show how to lift the dialogical conception to modal proof theory. I argue that this shift to hybrid logic has consequences for both modal and dialogical logic, and I discuss these in detail.     

On Wittgenstein's and Carnap's Conceptions of the Dissolution of Philosophical Problems,and against a Therapeutic Mix: How to Solve the Paradox of the Tractatus

In this article, I distinguish Wittgenstein's conception of the dissolution of philosophical problems from that of Carnap. I argue that the conception of dissolution assumed by the therapeutic interpretations of the Tractatus is more similar to Carnap's than to Wittgenstein's for whom dissolution involves spelling out an alternative in the context of which relevant problems do not arise. To clarify this I outline a non‐therapeutic resolute reading of the Tractatus that explains how Wittgenstein thought to be able to make a positive contribution to logic and the philosophy thereof without putting forward any (ineffable) theses. This explains why there is no paradox in the Tractatus.     

Sexual Experience: Foucault,Phenomenology, and Feminist Theory

This paper explicates Foucault's conception of experience and defends it as an important theoretical resource for feminist theory. It analyzes Linda Alcoff's devastating critique of Foucault's account of sexuality and her reasons for advocating phenomenology as a more viable alternative. I agree with her that a philosophically sophisticated understanding of experience must remain central for feminist theory, but I demonstrate that her critique of Foucault is based on a mistaken view of his philosophical position as well as on a problematic understanding of phenomenology.     

GOD,VALUE, AND NATURALISM

I consider whether there are philosophical developments which can deepen our understanding of God. I focus upon the relation between experience and physical things and the nature of value. I reject the narrow limits of experience presupposed by the verificationist, and the related monopoly of science on reality. I recommend a conception of reality which is rich enough to accommodate physical things and also the intertwining of value in the natural world. I detect structural similarities between these two problems and the problem of God, and consider how they might be related at the level of content.     

One's Modus Ponens: Modality,Coherence and Logic

Recently, there has been a shift away from traditional truth‐conditional accounts of meaning towards non‐truth‐conditional ones, e.g., expressivism, relativism and certain forms of dynamic semantics. Fueling this trend is some puzzling behavior of modal discourse. One particularly surprising manifestation of such behavior is the alleged failure of some of the most entrenched classical rules of inference; viz., modus ponens and modus tollens. These revisionary, non‐truth‐conditional accounts tout these failures, and the alleged tension between the behavior of modal vocabulary and classical logic, as data in support of their departure from tradition, since the revisionary semantics invalidate some of these patterns. I, instead, offer a semantics for modality with the resources to accommodate the puzzling data while preserving classical logic, thus affirming the tradition that modals express ordinary truth‐conditional content. My account shows that the real lesson of the apparent counterexamples is not the one the critics draw, but rather one they missed: namely, that there are linguistic mechanisms, reflected in the logical form, that affect the interpretation of modal language in a context in a systematic and precise way, which have to be captured by any adequate semantic account of the interaction between discourse context and modal vocabulary. The semantic theory I develop specifies these mechanisms and captures precisely how they affect the interpretation of modals in a context, and do so in a way that both explains the appearance of the putative counterexamples and preserves classical logic.     

Moral Understandings: Alternative “Epistemology” for a Feminist Ethics

Work on representing women's voices in ethics has produced a vision of moral understanding profoundly subversive of the traditional philosophical conception of moral knowledge. 1 explicate this alternative moral “epistemology,” identify how it challenges the prevailing view, and indicate some of its resources for a liberatory feminist critique of philosophical ethics.     

Epistemic Friction: Reflections on Knowledge, Truth, and Logic

Knowledge requires both freedom and friction. Freedom to set up our epistemic goals, choose the subject matter of our investigations, espouse cognitive norms, design research programs, etc., and friction (constraint) coming from two directions: the object or target of our investigation, i.e., the world in a broad sense, and our mind as the sum total of constraints involving the knower. My goal is to investigate the problem of epistemic friction, the relation between epistemic friction and freedom, the viability of foundationalism as a solution to the problem of friction, an alternative solution in the form of a neo-Quinean model, and the possibility of solving the problem of friction as it applies to logic and the philosophy of logic within that model.     

Squares in Fork Arrow Logic

In this paper we show that the class of fork squares has a complete orthodox axiomatization in fork arrow logic (FAL). This result may be seen as an orthodox counterpart of Venema's non-orthodox axiomatization for the class of squares in arrow logic. FAL is the modal logic of fork algebras (FAs) just as arrow logic is the modal logic of relation algebras (RAs). FAs extend RAs by a binary fork operator and are axiomatized by adding three equations to RAs equational axiomatization. A proper FA is an algebra of relations where the fork is induced by an injective operation coding pair formation. In contrast to RAs, FAs are representable by proper ones and their equational theory has the expressive power of full first-order logic. A square semantics (the set of arrows is U×U for some set U) for arrow logic was defined by Y. Venema. Due to the negative results about the finite axiomatizability of representable RAs, Venema provided a non-orthodox finite axiomatization for arrow logic by adding a new rule governing the applications of a difference operator. We address here the question of extending the type of relational structures to define orthodox axiomatizations for the class of squares. Given the connections between this problem and the finitization problem addressed by I. Németi, we suspect that this cannot be done by using only logical operations. The modal version of the FA equations provides an orthodox axiomatization for FAL which is complete in view of the representability of FAs. Here we review this result and carry it further to prove that this orthodox axiomatization for FAL also axiomatizes the class of fork squares.     

That Way Madness Lies: At the Intersection of Philosophy and Clinical Psychology

Abstract: I argue that philosophical practice is a clinically active and influential endeavor, with both positive (therapeutic) and negative (detrimental) psychological possibilities. Though some have explicitly taken the clinical aspects of philosophy into the therapeutic realm via the new field of philosophical counseling, I am interested in the clinical context of philosophers as philosophers, engaged in standard, philosophical pursuits. In arguing for the clinical implications of philosophical practice I consider the relation between philosophical despair and depression, the cognitive etiology of depression and other clinical disorders, selected DSM‐IV entries, attribution theory, and cognitive therapy.     

Arthur Prior and Hybrid Logic

Contemporary hybrid logic is based on the idea of using formulas as terms, an idea invented and explored by Arthur Prior in the mid-1960s. But Prior’s own work on hybrid logic remains largely undiscussed. This is unfortunate, since hybridisation played a role that was both central to and problematic for his philosophical views on tense. In this paper I introduce hybrid logic from a contemporary perspective, and then examine the role it played in Prior’s work.     

On the Justification Problems: Towards a Peircean Diagnosis and Solution

Responding to the paradox of inference and the related problems in philosophy of logic, this paper argues for the necessity of distinguishing between two different objects of justification: logica utens and logica docens. Then, equipped with Peirce’s critical common-sensist conception of logica utens and his classification of sciences, I propose a diagnosis of and a solution to the problem of justification of logic. I argue that this alternative approach successfully avoids circularity in which most attempts in philosophy of logic have been inescapably trapped. I also anticipate and respond to possible objections to taking a Peircean turn in justifying logic.     

Associative Substitutional Semantics and Quantified Modal Logic

The paper presents an alternative substitutional semantics for first-order modal logic which, in contrast to traditional substitutional (or truth-value) semantics, allows for a fine-grained explanation of the semantical behavior of the terms from which atomic formulae are composed. In contrast to denotational semantics, which is inherently reference-guided, this semantics supports a non-referential conception of modal truth and does not give rise to the problems which pertain to the philosophical interpretation of objectual domains (concerning, e.g., possibilia or trans-world identity). The paper also proposes the notion of modality de nomine as an alternative to the denotational notion of modality de re.     

AN EASTERN ORTHODOX CRITIQUE OF THE SCIENCE–THEOLOGY DIALOGUE

On the basis of both philosophical arguments and the theological perspectives of Eastern Orthodox Christianity, a critique of two beliefs that are common within the mainstream science–theology dialogue is outlined. These relate to critical realism in understanding language usage and to naturalistic perspectives in relation to divine action. While the naturalistic perspectives on the history of the cosmos that are predominant within the dialogue are seen as generally acceptable from an Orthodox perspective, it is argued that they require theological expansion. This expansion suggests an understanding other than the “causal joint” model commonly adopted in relation to “special” divine action. This alternative model renders the distinction between “special” and “general” divine action redundant, and is based on what has been called a “teleological‐Christological” understanding of the cosmos, rooted in the fourth gospel's notion of the divine Logos. The relevance of this critique to scholars outside of the Orthodox community is urged.     

Feminist Epistemology, Contextualism, and Philosophical Skepticism

Abstract: This essay explores the relation between feminist epistemology and the problem of philosophical skepticism. Even though feminist epistemology has not typically focused on skepticism as a problem, I argue that a feminist contextualist epistemology may solve many of the difficulties facing recent contextualist responses to skepticism. Philosophical skepticism appears to succeed in casting doubt on the very possibility of knowledge by shifting our attention to abnormal contexts. I argue that this shift in context constitutes an attempt to exercise unearned social and epistemic power and that it should be resisted on epistemic and pragmatic grounds. I conclude that skepticism is a problem that feminists can and should take up as they address the social aspects of traditional epistemological problems.     

Limits of Abductivism About Logic

I argue against abductivism about logic, which is the view that rational theory choice in logic happens by abduction. Abduction cannot serve as a neutral arbiter in many foundational disputes in logic because, in order to use abduction, one must first identify the relevant data. Which data one deems relevant depends on what I call one's conception of logic. One's conception of logic is, however, not independent of one's views regarding many of the foundational disputes that one may hope to solve by abduction.