The infinite judgement has long been forgotten and yet, as I am about to demonstrate, it may be urgent to revive it for its critical and productive potential. An infinite judgement is neither analytic nor synthetic; it does not produce logical truths, nor true representations, but it establishes the genetic conditions of real objects and the concepts appropriate to them. It is through infinite judgements that we reach the principle of transcendental logic, in the depths of which (...) all reality can emerge in its material and sensible singularity, making possible all generalization and formal abstraction. (shrink)

Hegel, in his work _Philosophy of Right_, defines ownership through three elements: acquisition by occupation, use, and transfer. To own something involves mere acquisition and encompasses its appropriate use and potential transfer to others. Subsequently, the final aspect mentioned was the concept of infinite judgement. The acts of owning and transferring to others are diametrically opposed, and Hegel’s unique logic forcibly connects these opposing concepts. This form of infinite judgement was advocated by the young Hegel during the era (...) of _Phenomenology of Spirit_. There, he stated, “Spirit is a bone”. However, when he later wrote _Science of Logic_ or _Encyclopedia_, the formulation of infinite judgement changed to “Spirit is not something that is bone”. This shift was influenced by Kant. In _Logic_, the discourse advances into syllogism, inferential theory, leading to “Spirit is a bone for such-and-such reasons”. In essence, Hegel binarily connected spirit and bone in his youth and introduced a mediating term in this connection later in his life, establishing inferential links. However, the notion of forcibly connecting opposing concepts remains. Therefore, the statement “Ownership is transfer” represents an infinite judgement while simultaneously signifying syllogism that “I truly own this object if I can transfer it to others”. This contributes to the reasoning that “I and objects can be connected through the intermediary of others”, progressing to the inference that “I and others can be connected through objects”, thereby laying the foundation for society. (shrink)

In the Transcendental Ideal Kant discusses the principle of complete determination: for every object and every predicate A, the object is either determinately A or not-A. He claims this principle is synthetic, but it appears to follow from the principle of excluded middle, which is analytic. He also makes a puzzling claim in support of its syntheticity: that it represents individual objects as deriving their possibility from the whole of possibility. This raises a puzzle about why Kant regarded it as (...) synthetic, and what his explanatory claim means. I argue that the principle of complete determination does not follow from the principle of excluded middle because the externally negated or ?negative? judgement ?Not (S is P)? does not entail the internally negated or ?infinite? judgement ?S is not-P.? Kant's puzzling explanatory claim means that empirical objects are determined by the content of the totality of experience. This entails that empirical objects are completely determinate if and only if the totality of experience has a completely determinate content. I argue that it is not a priori whether experience has such a completely determinate content and thus not analytic that objects obey the principle of complete determination. (shrink)

In his table of judgements, Kant added infinity as a third quality. An infinite judgement ‘All S are non-P’ is said to differ from the affirmative ‘All S are P’ because it ascribes a negative predicate; and it differs from the negative ‘No S is P’ because it has a richer content. The present paper puts three interpretations of this surplus content to six tests. Among other things, it is examined whether these interpretations marry up with Kant’s solution to (...) the first antinomy, his conception of analyticity and the principle of complete determination. The unpleasant conclusion is that none of the interpretations can make its mark as the most adequate one. It thus remains unclear what Kant had in mind when positioning infinite judgements besides affirmative and negative ones. (shrink)

AbstractKant’s formal conditions for aesthetic judgment do not limit aesthetic reflection to certain aesthetic traditions and cultures. Moreover, these conditions open up the possibility of applying aesthetic reflection in the context of different approaches. From this perspective, Kant’s analytic of aesthetic judgment might furnish a useful basis for trans-cultural dialogues in the field of aesthetics and reflection on the arts. Yet the theory also has its limits, especially insofar as it neglects the somatic dimension of aesthetic experience. These (...) two questions are the primary concerns of the paper. (shrink)

The problem of how to rationally aggregate probability measures occurs in particular when a group of agents, each holding probabilistic beliefs, needs to rationalise a collective decision on the basis of a single ‘aggregate belief system’ and when an individual whose belief system is compatible with several probability measures wishes to evaluate her options on the basis of a single aggregate prior via classical expected utility theory. We investigate this problem by first recalling some negative results from preference and (...) class='Hi'>judgment aggregation theory which show that the aggregate of several probability measures should not be conceived as the probability measure induced by the aggregate of the corresponding expected utility preferences. We describe how McConway’s :410–414, 1981) theory of probabilistic opinion pooling can be generalised to cover the case of the aggregation of infinite profiles of finitely additive probability measures, too; we prove the existence of aggregation functionals satisfying responsiveness axioms à la McConway plus additional desiderata even for infinite electorates. On the basis of the theory of propositional-attitude aggregation, we argue that this is the most natural aggregation theory for probability measures. Our aggregation functionals for the case of infinite electorates are neither oligarchic nor integral-based and satisfy a weak anonymity condition. The delicate set-theoretic status of integral-based aggregation functionals for infinite electorates is discussed. (shrink)

Suppose you found that the universe around you was infinite—that it extended infinitely far in space or in time and, as a result, contained infinitely many persons. How should this change your moral decision-making? Radically, it seems, according to some philosophers. According to various recent arguments, any moral theory that is ’minimally aggregative’ will deliver absurd judgements in practice if the universe is (even remotely likely to be) infinite. This seems like sound justification for abandoning any such theory. (...) -/- My goal in this thesis is simple: to demonstrate that we need not abandon minimally aggregative theories, even if we happen to live in an infinite universe. I develop and motivate an extension of such theories, which delivers plausible judgements in a range of realistic cases. I show that this extended theory can overcome key objections—both old and new—and that it succeeds where other proposals do not. With this proposal in hand, we can indeed retain minimally aggregative theories and continue to make moral decisions based on what will promote the good. (shrink)

Pascal's wager has fascinated philosophers far in excess of its reputation as effective apologetics. Very few of the wager's defenders, in fact, have retained more than an academic interest in its power to persuade. Partly this is a matter of good manners. Pascal is supposed to have pitched his wager at folks who understand only self-interested motivations, and today it is no longer fashionable for defenders of theism to disparage the character of their opponents. But partly the low-key concern with (...) apologetics expresses a philosophical judgement. Pascal's defenders have found the question of the wager's audience to be less philosophically engaging than the logic of its argument. I believe that this assessment is mistaken. The most puzzling feature of Pascal's wager is its invocation of infinite utility. What are finite human beings, theists or otherwise, supposed to make of the idea of an infinitely desirable happiness? There are, I will argue, two sorts of response to this question, and depending on which sort Pascal had in mind, the logic of his wager comes out very differently. (shrink)

Pascal's wager has fascinated philosophers far in excess of its reputation as effective apologetics. Very few of the wager's defenders, in fact, have retained more than an academic interest in its power to persuade. Partly this is a matter of good manners. Pascal is supposed to have pitched his wager at folks who understand only self-interested motivations, and today it is no longer fashionable for defenders of theism to disparage the character of their opponents. But partly the low-key concern with (...) apologetics expresses a philosophical judgement. Pascal's defenders have found the question of the wager's audience to be less philosophically engaging than the logic of its argument. I believe that this assessment is mistaken. The most puzzling feature of Pascal's wager is its invocation of infinite utility. What are finite human beings, theists or otherwise, supposed to make of the idea of an infinitely desirable happiness? There are, I will argue, two sorts of response to this question, and depending on which sort Pascal had in mind, the logic of his wager comes out very differently. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume Studies Volume XX, Number 2, November 1994, pp. 219-240 Infinite Divisibility in Hume's First Enquiry DALE JACQUETTE The Limitations of Reason The arguments against infinite divisibility in the notes to Sections 124 and 125 of David Hume's Enquiry Concerning Human Understanding are presented as "sceptical" results about the limitations of reason. The metaphysics of infinite divisibility is introduced merely as a particular, though especially representative (...) problem, among several that Hume discusses. Hume first writes: The chief objection against all abstract reasonings is derived from the ideas of space and time; ideas, which, in common life and to a careless view, are very clear and intelligible, but when they pass through the scrutiny of the profound sciences (and they are the chief object of these sciences) afford principles, which seem full of absurdity and contradiction.1 There follows an intuitive appeal to the apparent incoherence of the consequences of infinite divisibility in the geometry of space and measurement of time. Hume enlists natural belief against the infinite divisibility thesis in the mathematics of extension: But what renders the matter more extraordinary, is, that these seemingly absurd opinions are supported by a chain of reasoning, the Dale Jacquette is at the Department of Philosophy, The Pennsylvania State University, 246 Sparks Building, University Park PA 16802 USA. e-mail: [email protected] 220 Dale Jacquette clearest and most natural; nor is it possible for us to allow the premises without admitting the consequences. Nothing can be more convincing and satisfactory than all the conclusions concerning the properties of circles and triangles; and yet, when these are once received, how can we deny, that the angle of contact between a circle and its tangent is infinitely less than any rectilinear angle, that as you may increase the diameter of the circle in infinitum, this angle of contact becomes still less, even in infinitum, and that the angle of contact between other curves and their tangents may be infinitely less than those between any circle and its tangent, and so on, in infinitum? The demonstration of these principles seems as unexceptionable as that which proves the three angles of a triangle to be equal to two right ones, though the latter opinion be natural and easy, and the former big with contradiction and absurdity. (EHU 156-157) The implied sense of contradiction is then extended by Hume to the problem of infinite divisibility in time. The absurdity of these bold determinations of the abstract sciences seems to become, if possible, still more palpable with regard to time than extension. An infinite number of real parts of time, passing in succession, and exhausted one after another, appears so evident a contradiction, that no man, one should think, whose judgment is not corrupted, instead of being improved, by the sciences, would ever be able to admit of it. (EHU 157) The contradictions involved in traditional concepts of extension and time demarcate the limits of which reason is capable. But Hume's answer is more complex than merely surrendering to skepticism over the prospects of reason achieving understanding in the metaphysics of space and time. He tries to show that what he calls "Pyrrhonian" skepticism is ultimately self-defeating in its application of reason against reason. In place of a negative conclusion, he offers another solution to the paradoxes of infinite divisibility. What is remarkable about Hume's pronouncements against the infinite divisibility of extension and time, that may signal a change in his methodology if not his overall position on divisibility in the Enquiry from that of A Treatise of Human Nature, is his straightforward claim that natural belief rebels against the concept of infinite divisibility as its consequences apply to the metric of space and time.2 As in the Treatise, Hume pits natural disbelief in infinite divisibility against abstract metaphysical reason. But in the Enquiry, he does not invoke reason merely to correct the excesses of natural belief for the skeptical deflation of natural belief, say, in the necessity of causal connection, or the existence of mind-independent continuants. On the contrary, Hume Studies Infinite Divisibility in Hume's First Enquiry 221 Hume here appears instead to invoke natural disbelief in... (shrink)

Following Lauwers and Van Liedekerke (1995), this paper explores in a model-theoretic framework the relation between Arrovian aggregation rules and ultraproducts, in order to investigate a source of impossibility results for the case of an infinite number of individuals and an aggregation rule based on a free ultrafilter of decisive coalitions.

According to the transcendental Aesthetic of the Critique of pure reason, there are two properties of time that cannot be intellectualized: passage and infinitude. This study tries to show that these essential properties of time come to light in Kant’s Critique of Judgment. The contemplation of beauty will be understood as a non-successive time and the wonder that we experience in seeing the sublime will be understood through Kant’s concept of infinite moment. These two aesthetic concepts of time (...) will be integrated into Kant’s broader view of time as developed in the first Critique. (shrink)

A guest's gift -- In the voice -- Square necessities -- Varieties of indefiniteness -- An imported irregularity -- Ways of indeterminacy -- From empty words -- Toward the object in general -- The infinite judgment -- Zero logic -- Non-I and I -- Collapsing sentences -- The springboard principle -- After the judgment -- A persistent particle -- Callings.

I develop a new reading of Frege’s argument for the indefinability of truth. I concentrate on what Frege literally says in the passage that contains the argument. This literal reading of the passage establishes that the indefinability argument is an arguably sound argument to the following conclusion: provided that the Fregean conception of judgment—which has recently been countered by Hanks—is correct and that truth is a property of truth-bearers, a vicious infinite regress is produced. Given this vicious regress, (...) Frege chooses to reject that truth is a property of truth-bearers. Frege’s choice leads to a unique version of the Fregean conception of judgment. His unique conception of judgment can cope with Hanks’s recent criticisms against the Fregean conception. (shrink)

This dissertation evaluates the efforts of modern philosophers of aesthetics and politics to distinguish judgment from both cognition and volition. To see the rule under which any given particular is to be subsumed as a law fabricated and imposed by either God or reason is to characterize free judgment in terms of sovereignty. This generates the skeptical dilemma of an infinite regress of the legitimacy of the rule's application that can only be avoided by seeing the act (...) of judgment as an act of will. Such a voluntarist account of politics and judgment must in the end deny plurality for identity, and efface the categorical Aristotelian distinction between the public and the private. The rejection of the teleology of publicity is thus tied to the collapse of phronesis back into a Platonic techne that strives to produce society and man in the image of the eidos. ;Three "solutions" to this aporia are considered. The first is Hannah Arendt's appropriation for politics of Kant's aesthetic judgment, which allows for categorical distinctions between the public and the private and between judgment and the observance of rules. This project fails on account of the extreme formalism of that aesthetics. The second reads the third Critique as an allegory of politics. This too fails, as Kant's aesthetic community relies upon the productive legislation of the genius, a figure whose lineage reaches back to the half divine, half bestial figure of Machiavelli's founding prince. The third is a direct return to Aristotle. While his ethical philosophy offers us our best account of phronesis and epieikeia, it does not sufficiently engage the motivations for its own rejection. Hobbes, Locke, and Kant were not so taken with the model of mechanistic science that they simply forgot that in their common lives they regularly made judgments without the implicit or explicit guidance of a rule. The modern is better seen as a Weltanschauung, less a description that might be right or wrong than a desire. The alternative to the aporia of judgment is not found in the aesthetic but in a Wittgensteinian form of philosophical therapy. (shrink)

This paper considers the trade-off between unanimity and anonymity in collective decision-making with an infinite population. This efficiency-equity trade-off is a fundamental difficulty in making a normative judgment in a conflict between generations. In particular, it is known that this trade-off is quite sensitive in the formulation of unanimity axioms. In this study, we consider the trade-off in a preference-aggregation framework instead of the standard utility-aggregation framework. We show that there exists a social welfare function that satisfies I-strong (...) Pareto, independence of irrelevant alternatives, and finite anonymity. This contrasts with an impossibility result in the standard utility-aggregation framework, and this means that the trade-off is also sensitive for background frameworks of aggregations. (shrink)

I examine the relation between logic and nature in terms of ‘reflection’, the word that Hegel uses at the end of theEncyclopaedia Logicto describe the self-sundering or externalization of the idea into nature. Although nominally the term ‘reflection’ seems to denote a uniquely mental process and is often used so by Hegel in his early critique ofReflexionsphilosophie, in his later writings it also has an irreducibly ontological significance. Hegel describes logic's opening-out to nature as a movement of ‘reflection’ [Widerschein] and (...) he follows Kant in describing the shift from the finite to the infinite in the relation between nature and thought as one of reflective judgement. Although Hegel generally considers reflection to be uniquely concerned with finite cognition and the constitution of finite things, I argue that in his embrace of reflective judgement he sees a key role for reflection in the relation of logic, nature and spirit. (shrink)

I am the LawIt is hard to imagine two more disparate characters than Judge Joseph Dredd and Hercules J—the one an over-muscular, faceless and heavily armed street judge astride a Lawmaster motorcycle who overidentifies with his role ; the other devoid of any physical presence or image, and structurally decoupled from the execution of law by a fierce determination to maintain the separation of powers and accountability which Dredd so effortlessly ignores. Hercules J is the embodiment of an intellectualised, yet (...) creative, operationalisation of law. To the academic spirit, Hercules is infinitely preferable as a model of judicial activism: his world conjures a contemplative modality, ever alert to the requirements of rights and largely aligned with the temper of the post-Enlightenment. By contrast, Dredd is the personification of the worst aspects of law-and-order as the debased and politicised manifestation of the Rule of Law. His is an intensely visceral presence, the metonymic blindness of Themis replaced by the Dredd’s fractured eyeline: blindness as a signifier of impartiality yields to blindness as a symptom of institutional rage. This article interrogates the characters, actions and values of Hercules J and Dredd J, viewed primarily through the lens of Jacques Derrida’s Force of Law, focusing on the relationship between law and violence as it is exposed in Hercules’s and Dredd’s worlds, and then turning to judicial confrontation with the aporetic: the aporias, identified by Derrida and others, that law must confront. The interrogation continues, finally contemplating the current state of law in the common law world—the world of liberal democracies, suggesting that the high point of democracy may well have passed, and that we are on a Dredd-ward trajectory. (shrink)

Aggregative consequentialism and several other popular moral theories are threatened with paralysis: when coupled with some plausible assumptions, they seem to imply that it is always ethically indifferent what you do. Modern cosmology teaches that the world might well contain an infinite number of happy and sad people and other candidate value-bearing locations. Aggregative ethics implies that such a world contains an infinite amount of positive value and an infinite amount of negative value. You can affect only (...) a finite amount of good or bad. In standard cardinal arithmetic, an infinite quantity is unchanged by the addition or subtraction of any finite quantity. So it appears you cannot change the value of the world. Modifications of aggregationism aimed at resolving the paralysis are only partially effective and cause severe side effects, including problems of “fanaticism”, “distortion”, and erosion of the intuitions that originally motivated the theory. Is the infinitarian challenge fatal? (shrink)

A Hegelian reading of good and bad luck -- In Shakespearean drama (phen. of spirit, King Lear, Othello, Hamlet, a Midsummer night's dream) -- Tearing the fabric: Hegel's Antigone, Shakespeare's Coriolanus, and kinship-state conflict (phen. of spirit c. 6, Judith Butler's Antigone, Coriolanus) -- Aufhebung and anti-aufhebung: geist and ghosts in Hamlet (phen. of spirit, Hamlet) -- The problem of genius in King Lear: Hegel on the feeling soul and the tragedy of wonder (anthropology and psychology in the encyclopaedia, Philosophy (...) of mind, King Lear) -- Richard II's mirror and the alienation of the Universal Will (of the I that is a We) (Richard II, phen. of spirit c. 5) -- Falstaff and the politics of wit: negative infinite judgment in a culture of alienation (Henry IV parts I & II, phen. of spirit c. 6, philosophy of right) -- Henry V's unchangeableness: his rejection of wit and his posture of virtue reinterpreted in the light of Hegel's theory of virtue (philosophy of right, Henry V) -- Hegel's theory of crime and evil: (re)tracing the rights of the sovereign self (aesthetics, phen. of spirit, phil. of right, Richard II through to Henry V) -- Richard III, Hamlet, Macbeth and Henry V: conscience, hypocrisy, self-deceit and the tragedy of ethical life (phil. of right, Richard III, Hamlet, Macbeth, Henry V) -- Negation of the negative infinite judgment versus sublation of it: punishment vs. pardon (phil. of right, phen. of spirit c. 6 and Henry VIII) -- Universal wit : the absolute theater of identity (phen. of spirit c. 6 and 8, Pericles, the Tempest) -- Absolute infections and their cure (phen. of spirit c. 6, the Winter's tale). (shrink)

The article analyzes the meaning of infinite judgment within absolute knowing and tries to explain the role that this judgment plays within the last moment of the phenomenological path. The infinite judgment in question states: “the being of the ego is a thing”. The analysis starts with the conception of infinite judgment in pre-Kantian and Kantian logic, that has certainly influenced the way in which Hegel conceived of this logical structure. In order to (...) shed light on the Hegelian conception of infinite judgment at the time the Phenomenology was written, it is necessary to examine the way in which this kind of judgment is presented in the Jena System (1804-05) which develops the logical structures at work in the phenomenological process. Finally, the negation implicit in the judgment “the being of the ego is a thing” is expounded upon: the being of the ego is a thing - the soul - that in actuality is not a thing. The paradoxical structure of this judgment, that consists of this absence-presence negation, becomes evident in this double value. This judgment expresses the moment of crisis in the structure of judgment itself. This crisis is the linguistic expression of the inconsistency immanent in the pretence of consciousness to capture its object, that is constitutively separated from it. At the same time this judgment is also the negative moment necessary for the solution of this crisis and for the passage of consciousness into absolute knowing, in which the radical separation between subject and object that characterizes consciousness is completely reconciled. (shrink)

The article analyzes section VI B («The Spirit in Self-Estrangement») within absolute knowing. The main focus is Hegel’s speculative analysis of the formal structure of absolute knowing, starting from infinite judgement («the thing is ego»), to its conclusion with the definition of utility as preisgegebnes Sein für anderes (a being at the mercy of an «other», in Baillie’s translation). The article does not examine the phenomenological process of culture development, but focuses on the formal structure of pure insight (the (...) most important result of culture), comparing the self which constitutes the insight with the one which manifests itself as self-knowing spirit in absolute knowing. Here the inexorable Aufhebung of insight, as purest incarnation of modern reason, comes to light: Hegel emphasizes rationality and therefore he criticizes its abstract form which downgrades pure insight from reason to raisonnements of Understanding. (shrink)

This paper discusses an apparent contrast between Kant’s accounts of the mathematical antinomies in the first Critique and in the Prolegomena. The Critique claims that the antitheses are infinite judgements. The Prolegomena seem to claim that they are negative judgements. For the Critique, theses and antitheses are false because they presuppose that the world has a determinate magnitude, and this is not the case. For the Prolegomena, theses and antitheses are false because they presuppose an inconsistent notion of world. (...) The paper argues that the contrast between the two works is only apparent, and provides an interpretation which removes it. (shrink)

In a famous passage in the Critique of the Power of Judgement, Kant calls the “spirit” an animating or enlivening principle in the mind. Rather than a positive affirmation building on a protobiological background, this definition marks an aesthetic notion of life. As a first step, the “Gemüt” shows itself to be an ambivalent concept between transcendental philosophy and anthropology. This ambivalence then reoccurs in the notion of life in an aesthetical regard: Life in this sense is the one hand (...) bound to the empirical notion of the powers of life – and thereby to the pre-critical works – but is now turned into something surpassing. Life in aesthetical terms is negatively bound to life in an empirical sense. So is spirit, too: It rather works as a negatively defined principle opening up the given. Life, Gemüt, and spirit make up a relational constellation that provides the grounds for the work of aesthetic ideas. By means of aesthetic ideas, spirit opens up the cognitive and thereby enlivens the Gemüt. This principle, which is spirit, can then be understood as following Kant’s logic of the infinite judgment, because the aesthetic is the opening of the rational to its indeterminate other. (shrink)

Summary The question underlying this article is whether the Kantian transcendental philosophy is wide enough to constitute the objects of quantum physics as objects of possible experience and consequently to found the objectivity of quantum physical knowledge. It is shown that the Kantian determinations of the categories (quality, substance, causality) can be interpreted and elaborated in such a way that the quantum physical concept of an object characterized by nonobjectivity of properties is conceived. Therefore the categories are valid in quantum (...) mechanics and warrant the objectivity of quantum physical experience. By the interpretation of the Kantian infinite judgement as an indefinite proposition it is possible to define the non-objectivity of properties categorially as indefiniteness of qualities. In particular by the indefiniteness of the position-quality the non-permanent localizability of quantum mechanical objects can be understood a priori. However the object of possible experience, especially the quantum mechanical object is underdetermined by the categories of substance and causality: If the object is determined to be a substance it is not yet conceived to be an individual; its characterization by means of probability laws is categorially indeterminate. In so far the significance of transcendental philosophy for the foundation of quantum physics is limited. (shrink)

Hume’s discussion of space, time, and mathematics at T 1.2 appeared to many earlier commentators as one of the weakest parts of his philosophy. From the point of view of pure mathematics, for example, Hume’s assumptions about the infinite may appear as crude misunderstandings of the continuum and infinite divisibility. I shall argue, on the contrary, that Hume’s views on this topic are deeply connected with his radically empiricist reliance on phenomenologically given sensory images. He insightfully shows that, (...) working within this epistemological model, we cannot attain complete certainty about the continuum but only at most about discrete quantity. Geometry, in contrast to arithmetic, cannot be a fully exact science. A number of more recent commentators have offered sympathetic interpretations of Hume’s discussion aiming to correct the older tendency to dismiss this part of the Treatise as weak and confused. Most of these commentators interpret Hume as anticipating the contemporary idea of a finite or discrete geometry. They view Hume’s conception that space is composed of simple indivisible minima as a forerunner of the conception that space is a discretely (rather than continuously) ordered set. This approach, in my view, is helpful as far as it goes, but there are several important features of Hume’s discussion that are not sufficiently appreciated. I go beyond these recent commentators by emphasizing three of Hume’s most original contributions. First, Hume’s epistemological model invokes the “confounding” of indivisible minima to explain the appearance of spatial continuity. Second, Hume’s sharp contrast between the perfect exactitude of arithmetic and the irremediable inexactitude of geometry reverses the more familiar conception of the early modern tradition in pure mathematics, according to which geometry (the science of continuous quantity) has its own standard of equality that is independent from and more exact than any corresponding standard supplied by algebra and arithmetic (the sciences of discrete quantity). Third, Hume has a developed explanation of how geometry (traditional Euclidean geometry) is nonetheless possible as an axiomatic demonstrative science possessing considerably more exactitude and certainty that the “loose judgements” of the vulgar. (shrink)

Russell’s initial project in philosophy (1898) was to make mathematics rigorous reducing it to logic. Before August 1900, however, Russell’s logic was nothing but mereology. First, his acquaintance with Peano’s ideas in August 1900 led him to discard the part-whole logic and accept a kind of intensional predicate logic instead. Among other things, the predicate logic helped Russell embrace a technique of treating the paradox of infinite numbers with the help of a singular concept, which he called ‘denoting phrase’. (...) Unfortunately, a new paradox emerged soon: that of classes. The main contention of this paper is that Russell’s new conception only transferred the paradox of infinity from the realm of infinite numbers to that of class-inclusion. Russell’s long-elaborated solution to his paradox developed between 1905 and 1908 was nothing but to set aside of some of the ideas he adopted with his turn of August 1900: (i) With the Theory of Descriptions, he reintroduced the complexes we are acquainted with in logic. In this way, he partly restored the pre-August 1900 mereology of complexes and simples. (ii) The elimination of classes, with the help of the ‘substitutional theory’, and of propositions, by means of the Multiple Relation Theory of Judgment, completed this process. (shrink)

This paper provides an analysis of Rudolph Otto's understanding of the structures of human consciousness making possible the appropriation of revelation. Already in his dissertation on Luther's understanding of the Holy Spirit, Otto was preoccupied with how the " outer " of revelation could be united to these inner structures. Later, in his groundbreaking Idea of the Holy, Otto would explore the category of the numinous, an element of religious experience tied to the irrational element of the holy. This paper (...) first provides a brief account of Otto's account of the holy, especially its numinous, irrational elements. Second, the paper analyzes Otto's understanding of the structures of consciousness grounding the experience of the numinous and allowing the irrational element to be " schematized " by the rational element. Otto's exposition of these structures is heavily influenced by his reception of Kant's analysis of the two stems of human cognition, namely understanding and sensibility, and their possible relation to a common root, which Otto identified with what the mystics called the ground of the soul. Yet it is in Otto's reception of Kant's Critique of Judgment that all of these ideas find their completion, and it is here where we must look to understand the relation between the religious a priori and Otto's category of the numinous. Kant's aesthetic idea is a singular representation given in intuition; it is infinitely saturated and as such intimates the ideas of God, the soul, and the world as a whole. I show how Otto appropriates Kant's aesthetic idea and its relation to ideas of reason in order to make sense of how an empirically given revelation, for instance, an experience of the numinous, can connect with the inner structures of consciousness and thereby have the singular import that it does. (shrink)

My article critically evaluates five key claims in Kerr’s interpretation of Aquinas’s De Ente et Essentia, ch. 4, proof for God. The claims are: the absolutely considered essence is a second intention, or cognitional being; à la John Wippel, the real distinction between essence and existence is known before the proof; contra David Twetten, Aristotelian form is not self-actuating and so requires actus essendi; the De Ente proof for God uses the Principle of Sufficient Reason; an infinite regress must (...) be eliminated before concluding to God. This author wonders if these questionable claims are traceable to the mindset of analytic philosophy which values precision and discreteness and so can fail to appreciate crucial paradoxes in Aquinas’s metaphysics. (shrink)

Results from a crowdsourced audio questionnaire show that inflected infinitives in Galician are still acceptable in a broad range of contexts, different from those described for European Portuguese. Crucially, inflected infinitives with referential subjects are widely accepted only inside strong islands in Galician (complements of nouns, adjunct clauses). They are widely rejected in non-islands, notably in the complements of epistemic/factive verbs, in contrast with Portuguese and older varieties of Galician (Gondar 1978, Raposo 1987). Statistical analysis shows, however, that, in the (...) complements of epistemic/factive (and desiderative) verbs, inflected infinitives are significantly more acceptable in instances of control, whether partial or exhaustive. In fact, there is no significant difference between these two types of control in Galician, unlike in Portuguese, where inflection is generally better in instances of partial control and is not acceptable in instances of exhaustive local subject control (Modesto 2010, Sheehan 2018). We propose an analysis of this pattern in terms of phase theory. The inflectional domain of non-finite clauses remains visible to the thematic domain of the next clause up, according to the less strict version of the Phase Impenetrability Condition (Chomsky 2001), allowing control to take place. Pronouns/or pronominal inflections in the inflectional domain of visible non-finite clauses therefore get controlled. In islands, however, material in the inflectional domain remains free/referential. Despite this basic pattern, the data are characterized by substantial interspeaker variation. Statistical analysis shows that gender, urban/rural birthplace and mother tongue are all significant factors in this variation, while age and region of birth are not. Most notably, urban-born male bilinguals with Spanish as their mother tongue consistently rate the sentences higher on the Likert scale. Overall, the results show that crowdsourcing can lead to empirically robust syntactic descriptions of minority languages which are likely to be subject to substantial sociolinguistic variation and where judgements from a single social group may be misrepresentative of the general picture. The study also highlights, however, the challenges associated with using crowd-sourced audio-questionnaires of this kind in languages of this kind and the need for statistical analysis of results to control for substantial amounts of variation. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:The Inner Citadel. The Meditations of Marcus AureliusJames KerPierre Hadot. The Inner Citadel. The Meditations of Marcus Aurelius. Translated by Michael Chase. Cambridge: Harvard University Press, 1998. Pp. xii + 351. Cloth, $45.00Marcus Aurelius has sometimes been viewed as a Stoic "half-way to Platonism," so overawed by the brevity of human life within the infinite procession of eternity that he "almost lost faith in his own existence" (...) (J. M. Rist). Hadot's book, however, in this excellent English translation (first published as La Citadelle Intérieure: Introduction aux "Pensées" de Marc Aurèle, Paris, 1992), argues not only that the Meditations are thoroughly Stoic in their doctrine, but that to call Marcus a Platonist (or a pessimist) is to misinterpret the techniques by which he seeks to live a Stoic life. For Hadot it is the teachings of the philosopher-slave Epictetus that explain the Meditations, and the bulk of the book is concerned with demonstrating that Marcus's writings are spiritual exercises by which the author seeks to instill in himself three basic Epictetan disciplines corresponding to the tripartite Stoic system of logic, physics, and ethics. Readers of Hadot's other works will already recognize his concern with the ancient conception of philosophy as a way of life [3]. This study aims to show how Marcus's self-therapy relates to specific elements of Stoic doctrine and to redefine our understanding of the Meditations as a literary work.The book begins by tracing Marcus's initiation into the philosophic life, with special emphasis on the role of statesman-philosopher Junius Rusticus, who introduced Marcus to the writings of his influential teacher, Epictetus. In Chapter Two Hadot approaches the text which we refer to as the Meditations and argues that they are better referred to as Marcus's "personal notes" (hypomnêmata): their characteristic features (discontinuity, repetition, self-address, and refined literary form) are due to their being the product of day-by-day exercises in which Marcus, focussed upon the definitiveness of the present moment, strove to keep the essential rules of life ever present in his mind. Marcus's constant repetition of familiar doctrine indicates that for him "the [End Page 116] essential thing was not to invent or to compose, but to influence himself and produce an effect upon himself" (244).Hadot is at pains in Chapter Three, however, to reveal that these exercises derive from the "highly rigorous conceptual system" which he calls "the true key to the Meditations," namely, a set of three dogmas that require (a) the regulation of judgment to assent only to what is objectively true; (b) the restriction of the desires to that which is in accordance with universal Nature and Destiny; and (c) the disciplining of one's impulse toward action to be just and altruistic, in agreement with one's human nature. According to Hadot, this systematic distinction between the disciplines of judgement, desire, and impulse, and the three dogmas on which they depend, is "a doctrine which is peculiar to Epictetus and which is not found in Stoicism prior to him" (70). Marcus, then, in organizing his spiritual exercises around these three disciplines, "was working with pre-existing materials" (52). Thus Chapter Five is dedicated entirely to explaining how the practical disciplines of judgment, desire, and impulse to action, which Hadot argues correspond respectively to logic, physics, and ethics, operate within "the Stoicism of Epictetus."There is a certain apparent tension generated by Hadot's argument concerning the Stoicism of Epictetus. Although he depicts him as a distinctive innovator, Hadot also states that Epictetus does not change the system of Zeno and Chrysippus but simply adds "color and tonality" (73)—a statement that allows him to classify both Epictetus and Marcus as authentic Stoics but thereby risks undermining his argument about Epictetus's distinctiveness. This real ambiguity could be explained by reference to the emphasis on originality in Stoicism, in which the embodiment of philosophy in each new Stoic establishes him as an independent authority. (As Seneca says to Lucilius, "Zeno said this. But what do you say?" Epistulae Morales 33.7.) Indeed Hadot illustrates how didactic procedures in particular were... (shrink)

The ethical turn that affects artistic and political practices today should not be interpreted as their subjection to moral criteria. Today, the reign of ethics leads to a growing indistinction between fact and law, between what is and what ought to be, where judgement bows down to the power of the law imposing itself. The radicality of this law is that it leaves no choice, and is nothing but the simple constraint stemming from the order of things. This brings about (...) an unprecedented dramaturgy of infinite evil, justice and redemption that can be traced not only in contemporary politics, but in philosophical reflection and film. (shrink)

In this dissertation I examine the ontological and systematic basis of Hegel’s social and political philosophy. I argue that the structures of the will, discussed in paragraphs five through seven of the Philosophy of Right, present the key for understanding the goal and the argumentative structure of that work. Hegel characterizes the will in terms of the oppositions between the universal and the particular, the infinite and the finite, and the indeterminate and the determinate. Ultimately, he argues that we (...) must grasp the will as the unity of these oppositional moments. The Philosophy of Right presents an extended attempt to grasp this unity. -/- In order to central problem presented by the structure of the will, I argue that we must first recognize the will as the highest instantiation of the more general structures that constitute the notion. On my interpretation, the term ‘notion’ designates Hegel’s doctrine of substance. More specifically, this term presents his conception of substance in terms of categories normally associated with human subjectivity, in terms of representation and purposive action. -/- The will presents the highest or truest instantiation of the notion. Various notions can be ranked along a spectrum in accordance with their degree of success at resolving the basic problem facing all objects – namely the problem of integrating or essentially relating identity and difference through self-constituting activity. The unification of identity and difference presents the central problem or paradox of Hegel’s philosophy. It is a paradox that takes many forms. In this dissertation, I show how change, the structure of judgment, and the nature of the object all exhibit this paradox. I also show how Hegel’s doctrine of the notion develops as a direct response to this paradox. Additionally, I argue that Hegel’s account of the structure of the will – as the unity of the universal and the particular, the unity of the infinite and the finite, and the unity of the indeterminate and the determinate – presents the highest manifestation of the paradox that arises when we seek to explain the unity of identity and difference. (shrink)

Logic in Action/Doron Avital Nothing is more difficult, and therefore more precious, than to be able to decide (Napoleon Bonaparte) Introduction -/- This book was born on the battlefield and in nights of secretive special operations all around the Middle East, as well as in the corridors and lecture halls of Western Academia best schools. As a young boy, I was always mesmerized by stories of great men and women of action at fateful cross-roads of decision-making. Then, like as today, (...) I felt the full weight of the moment of truth as it confronts the individual, the man or woman of action, with the imminent necessity to decide. Alongside, as I was climbing up the ladder of education, I found myself just as well captivated by the great intellectual stories of our times, in particular 20th century analytic philosophy and, at its core, the machinery of modern logic. How do then the cool contemplative modes of the philosophical and analytic outlooks, that are better fitting of the philosopher's armchair at the fireplace, hang together with the heat of the battlefield or the angst of the ticking clock of time left to the completion of a daring special operation? Growing up I was pondering exactly that. Not accidently, and in fact as consequence, I have chosen a course in life that challenged me to visit the poles of both theory and practice. I set myself on a mission to unravel the tension between the contemplative inquiry, supposedly theoretical, aiming at the logical structure of things, and the uncompromising test of life and action. The puzzle of the gap between theory and practice has become ever since the guiding question of my life. -/- Not long ago, I met two friends, Avner Shor, a veteran combat soldier of the special forces unit I eventually commanded, and Aviram Halevi, a fellow officer with whom I served. Why will we not put into writing the ideas that guided us during our years of military action, we wondered. At that time, I used to deliver the keynote lectures to the senior officers' course of Israel central intelligence organization, the Mossad. For this I already had to put some of these ideas in writing. Avner was quick to introduce me with a notable publisher and even helped me write the first chapter. With Aviram I sat to many meetings, where he would challenge me with key questions, and we followed them with memories of operations and battles, aiming to draw the required lessons. This served me well when I finally sat down to write the first draft of the book. The result was more extensive than me and my friends had expected. I had to add a particularly long chapter dealing with the story of modern philosophy and logic. This was required, I felt, as no decision-making process lives in an intellectual vacuum. Knowingly or subconsciously, the intellectual climate of the time guides us for better or worse with the decisions we finally take. The initial draft was naturally cumbersome and inaccessible. But here I had the privilege of meeting a particularly talented editor, Rami Rothholtz. I found in Rami both an editor and a critical reader. As an infantry combat soldier at youth and now a senior journalist and editor, Rami insisted on simplifying and refining my ideas. Had it not been for his work, this book would have been literally unreadable. *** I opened my book with a brief description of a single night of a special operation deep at the Lebanon Bekaa valley, far away from Israel northern border. The mission was to kidnap a senior terror leader known to be holding in captivity an Israeli pilot. This was also the last special operation I commanded in my military career. A single special operation night, but what had to precede it? For sure, many months of intense and skillful preparations. What is Planning? This is the question with which I open up chapter (2) of the book. I confront in this chapter two approaches to planning. The first is the one I saw as a mission to myself to cultivate in my many years of military service. The second is the one I saw as representing a deep-rooted fallacy that holds a firm grip on today's conventional wisdom about planning. To further examine the logic of the competing models, I was required in chapter (3) to analyze the concept of "The Standard". I argue that the false model of planning has its roots in an attitude of an uncompromising adherence to the power of literal obedience to standards and rules. The standard, or what is outlined by a rule as prescribing a future course of action, is seen as an answer to the fundamental tension between theory (planning) and practice (execution). I argue in contrast that the standard does not produce an answer but rather what I call: "A Well-Defined Question". In essence, it is a meticulously-well-planned invitation to exercise a fresh judgment. A judgement that has as an anchor the default answer that the standard produces but is open to extension as it confronts the new frame of reference of the test of reality. In chapter (4), I present a new tool for planning and execution: "The Polygon of Risks" or "The Polygon of Execution". The Polygon is a geometric illustration of the underlying tension that exists between all dimensions of the operational project. The construction and conceptualization of the trade-offs that exist between the various dimensions - segments of the polygon - is the first topic on the planner's agenda. I position the concepts of "Daring" and "Taking Proactive and Well-Informed Risks" as necessary logical constituents of the polygon and show how in contrast the false model of planning is responsible for an operational culture that is risk-averse. It encourages, in fact, the piling up of false securities at the segments' level that eventually lead to the collapse of the polygon. The necessary trade-offs relationships that exist between the segments of the polygon express the fundamental tension between partnership and competition: partnership in a joint goal and competition over resources, both material and abstract. When this tension is not managed well, that is, when the players' local optimizations overshadow the global optimization required for the success of the project, the execution polygon collapses. In this scenario, we may find the setting of the bar of "High Standards" in a players' spheres of responsibility to conceal a hidden agenda of personal insurances taken against a possible failure. Once the overall risk is not mitigated by way of collaborative joint executional dialogue, the process that leads to a collapse of the polygon is literally unstoppable. *** In chapter (5), I discuss "(Fateful) Decisions". I examine the way in which we should translate the polygon into sequential critical decisions on the timeline. The execution polygon is not a rigid scaffolding but a dynamic conceptual illustration of the -/- project. It will need now to be converted into successive decision junctions. We will find the content of a decision and its timing on the timeline to be inseparable. The right decision is the one that is taken at the right time. The moment of decision is in fact the last moment of deliberation, the first moment available for action, i.e. the first possible "Can" is also the latest possible "Must". Deciding too soon is analog to the "Jumping of the Gun". The decision maker is forcing a pre-conceived answer to a state of affairs not ripe for an answer, e.g. the target in the shooting range is not yet erected. Late to decide and the decision maker may envision what he or she should have done but reality is no longer available for them to harness it right, e.g. consider a tennis player's frustration when reviewing a too-late-to-react move in the video replay. I review in this chapter many fateful decisions, both historical, from Napoleon's Waterloo, to a Bridge Too Far of WWII, to the failed rescue attempt of American hostages at the time of the Iranian Revolution, as well as fateful decisions I had to take in the course of my military life, both in combat and in special operations, and show the sense in which they all answer to our analysis. The theme of chapter (6) is "The Moment of Truth". This is the moment when everything is on the line and from which there is no turning back. I discuss the formative repetitive structure of the schooling and simulation phase and contrast it with the "One Shot, One Opportunity" nature of the moment of truth. This is extremely helpful when we analyze the logical structure of failures as unwarranted repetitions of past lessons. The schooling curriculum indeed consists of important abstractions drawn from lessons of the past. However, it is when we project them in a fashion that is literal or mechanical that we cross path with the possibility of a failure. The paradox of education is that what we must repeat in school and simulation must be extended and not repeated in real life. What is required of us so we do not fall into the fallacy of repetition in face of the moment of truth is the core subject of the discussion of this chapter. In chapter (7), I took a lengthy philosophical detour surveying the intellectual drama of modern logic, and in general, the story of 20th century analytic philosophy. Readers who choose to bypass the somehow demanding narrative of this drama can do so and still keep the argumentative thread of the book. However, even by way of skipping the more technical parts, I would still urge the readers to delve into the discussion in this chapter as I believe this would grant them a deeper understanding of the overall conceptual framework. I explore here the work of two key figures: the logician Kurt Gödel and the philosopher Ludwig Wittgenstein, both were crowned in 2000 by TIME Magazine, as the leading Logician and Philosopher, respectively, of the 20th Century. I review the fascinating logical result of Gödel's Incompleteness Theorem and examine its relevance as setting a theoretical limit to the power of formalization. This amazing logical result - a result that shakes the logical foundations of 20th century thought in as much as the discovery of irrational numbers shook the foundations of the Pythagorean program of the ancient Greeks - bears significantly on the question of action and the blind trust we place in the power of formalization in the form of protocols and rules. It is here that Wittgenstein's philosophy enters in full force. We follow Wittgenstein as he dismantles our conception of rules as if there were "Railroads to Infinite", i.e. as prescribing for us in-advance their proper employments in all possible -/- future eventualities. Instead we propose that the dilemma of action demands of us an extension of rules rather than a mechanical or blind repetition of their literal imperative. In turn, this extension can serve as a new lesson added to the curriculum of school and simulation. The theme of chapter (8), the concluding chapter, is Strategy, Logic, and Ethics. The chapter comes to place the ethical dilemma in the conceptual map we presented in the book. I discuss here the tension between strategy as a process of setting goals and deriving backward as it were the steps that are necessary for achieving these goals, to the inescapable dictation of the ethical imperative. This unavoidable tension is particularly important against the backdrop of contemporary culture that is guided by a vision of personal success and achievement that may threaten our ability to do what is right. Most of all, I am troubled in this chapter, with the role logic may play, first as a liberating force enabling a change that is tuned to the ethical imperative, and second, as a force designed to justify on logical grounds, as it were, the existing power structure. It is in this junction that brave individuals will be called to challenge the governing logic of the zeitgeist - logic that operates now as an oppressive force that serves the vested interest of beneficials of the existing order. When success is favored over doing what is right, as we must admit is the prevailing cultural mood of our times, that the words of Emanuel Kant carry their full weight: "Do the Right thing and leave the Consequences to God". For this we need heroes and heroines that challenge the time by bearing the full weight of responsibility that comes with the doing of what is Right. *** This book was written more than anything from the perspective of the heroes and heroines of action. Sometimes they may be missing the exact words or the full insight into the solid logical complexity that stands between them and the doing of what is right. They feel what is right to do on the battlefield of life, whether in real battle, in political or economic life or whether in the life of creativity and the quest of the intellect. They do need, in analogy, proper logical and intellectual artillery. I hope they will find the logical cannons they require as they travel through the pages of this book. The rest is in their hands at the Moment of Truth. -/- Doron Avital, Tel Aviv 2011 -/- . (shrink)

This is a review article of the debate about the role of the hierarchical conceptionof personal autonomy in an analysis of agency. Three well-known problems are described:the infinite regress, the 'ab initio' problem, and the 'incompleteness' problem. It is suggested that solving the last problem would resolve the former two. Three strategies to solve the last problem are discussed and found unsatisfactory: (1) stressing the independent role of value judgements; (2) stressing the supreme value of coherence; (3) stressing the (...) role of the decisive act of identification. In conclusion it is suggested that, perhaps, we do not need an account of autonomy to understand agency. (shrink)

If a thomist philosopher wonders how we get the idea of the infinite being, or why the act of being implies no limit, he will understand immediately what Polo intends by saying "mental limit" and its abandonment. The principles of such ab andonment are habitual and active thinking. That Theory of knowledge justifies the fact that we really know that the act (esse) is the fundamental of being (ens) and the judgements and discourses spreading out from the transcendental notion (...) of being. (shrink)

From 1929 onwards, C. I. Lewis defended the foundationalist claim that judgements of the form 'x is probable' only make sense if one assumes there to be a ground y that is certain (where x and y may be beliefs, propositions, or events). Without this assumption, Lewis argues, the probability of x could not be anything other than zero. Hans Reichenbach repeatedly contested Lewis's idea, calling it "a remnant of rationalism". The last move in this debate was a challenge by (...) Lewis, defying Reichenbach to produce a regress of probability values that yields a number other than zero. Reichenbach never took up the challenge, but we will meet it on his behalf, as it were. By presenting a series converging to a limit, we demonstrate that x can have a definite and computable probability, even if its justification consists of an infinite number of steps. Next we show the invalidity of a recent riposte of foundationalists that this limit of the series can be the ground of justification. Finally we discuss the question where justification can come from if not from a ground. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:“Above and Beneath Classification”: Bartleby, Life and Times of Michael K, and Syntagmatic ParticipationGert Buelens (bio) and Dominiek Hoens (bio)The history of the relation between the law, norm, or rule on the one hand and what forms an exception to that rule on the other is complex and multifaceted.1 In the most general terms, one could posit that the exception is that which escapes from the rule. Thus, confronted (...) with the strangeness of Michael K, his noncommunicativeness, his odd combination of meekness and intransigence, the medical officer in J. M. Coetzee’s Life and Times of Michael K assigns K a place “above and beneath classification” [Coetzee 151]. Michael K is at once too large and too small to fit into the administrative and humanitarian categories that pertain at the prisoner camp. He appears to the medical officer—whose good intentions and patient, selfless interest in K cannot be doubted—as a recalcitrant, nonidentifiable object that flirts with dehumanization. To put it in Bataille’s terms, Michael K is formless (informe), and his existence can, by mere virtue of that fact, be called scandalous.2Let us take a closer look at the expression “above and beneath classification.” We can note that (1) it names something that situates itself on the outside of any classification; (2) this something must have a paradoxical status, since it is at once above and beneath classification; (3) the nonclassifiable is regarded as such from a classifying perspective. Although the latter point may sound tautological, it nonetheless touches upon one of the most difficult dimensions of the exception: if the exception is always an exception to the rule, how can it exist otherwise than by virtue of that rule? how can it be more than just the rule’s negative? But if the exception radically breaks away from the rule, then how is it possible for that rule to identify the exception and recognize it as such? This crucial problem has formed the basis for reflection on the relation between rule and exception. Freud, for instance, saw the exception (crime) as constitutive of social ties and the social order. Lacan needed a special topology to show the extimate character of what is at once inside and outside the symbolic order [Lacan, Miller]. Religious ways of thinking could be said to have located the exception as transcendent to any human order. For Badiou, the secularization of the infinite cannot be thought apart from an immanent, rather than transcendent, event that is disruptive of all order. In Derrida’s subtle analyses, the originary supplement appears as both constitutive and deconstructive. Agamben regards the exception as having become the political rule. These interpretative frameworks, in spite of some deep distinctions, all show not only that the rule cannot do without the exception, but that the exception is just as dependent on the rule. Even when the exception is regarded as a kind of pure, ruleless being-as-such, the rule is at the very least conceptually [End Page 157] indispensable for this pure, mere being to be thinkable in the first place. In brief, however much one may want, for political or other reasons, to assign the exception a central place at the expense of the rule, that rule remains inescapable.Nonetheless, the inevitability of the rule should not lead us to conclude that it is also immutable, nor that we should adopt a conservatism that accepts the rule as a repressive normativity or as an inclusive and exclusive apparatus of judgment. That this is as impossible as it is undesirable is suggested by what we indicated under the second item: the exception is both above and beneath. The exception is the paradoxical given of that which at once escapes from existing categories and lacks all identity in that escape. The problem that Michael K and Bartleby, the second figure of exception we consider in this essay, present for the rule resides not just in the recalcitrance that allows them to show up the limits of the rule, but also in the doubling with which this goes hand in hand. Michael K and Bartleby are as pliant as they are obdurate, show great loyalty even... (shrink)