In this paper, I explain the curious role played by the Argument from Absolute Terms in Peter Unger's book Ignorance, I provide a critical presentation of the argument, and I consider some outstanding issues and the argument’s contemporary significance.

A number of formal epistemologists have argued that perfect rationality requires probabilistic coherence, a requirement that they often claim applies only to ideal agents. However, in “Rationality as an Absolute Concept,” Roy Sorensen contends that ‘rational’ is an absolute term. Just as Peter Unger argued that being flat requires that a surface be completely free of bumps and blemishes, Sorensen claims that being rational requires being perfectly rational. When we combine these two views, though, they lead to counterintuitive (...) results. If being rational requires being perfectly rational, and only the probabilistically coherent are perfectly rational, then this indicts all ordinary agents as irrational. In this paper, I will attempt to resolve this conflict by arguing that Sorensen is only partly correct. One important sense of ‘rational’, the sanctioning sense of ‘rational’, is an absolute term, but another important sense of ‘rational’, the sense in which someone can have rational capacities, is not. I will, then, show that this distinction has important consequences for theorizing about ideal rationality, developing an account of the relationship between ordinary and ideal rationality. Because the sanctioning sense of ‘rational’ is absolute, it is rationally required to adopt the most rational attitude available, but which attitude is most rational can change depending on whether we are dealing with ideal agents or people more like ourselves. (shrink)

Martin's axiom is equivalent to the statement that the universe is absolute under ccc forcing extensions for Σ 1 sentences with a subset of $\kappa, \kappa , as a parameter.

This chapter focuses on one of the common fallacies in Western philosophy called four terms (FT). The fallacy of FT violates the very first rule of constructing a valid syllogism: any syllogism must contain three and only three terms. These terms have, since Aristotle, been called the major, the minor, and the middle. The major and minor are also called the “extremes” of a syllogism, since they lie on either extreme of the middle term. In a valid (...) syllogism, the major and minor terms are related in the conclusion, and their relation is absolutely necessary and completely justified by the premises alone. When there are four terms, either the terms are unrelated and no deduction is possible, or there are multiple syllogisms. It is clear also that in every syllogism either both or one of the premises must be like the conclusion. (shrink)

As an important corollary of this interpretation of absolute knowledge, the dissertation concludes with the suggestion that Hegelian philosophy need not be regarded merely as an interesting curiosity in the history of ideas, but rather that it can serve as a vital and potentially rewarding source of fresh theoretical insights. ;Instead, the concrete completeness of speculative philosophy can only consist in the activity of a dynamical, ceaselessly self-examining and self-regulating intellectual community. In one sense, of course, no finite system (...) can ever be complete, insofar as it will inevitably be guilty of errors and misconceptions. Yet at the same time, the infinite System is perfect and complete, insofar as it contains within itself the means whereby its own unavoidable flaws will be discovered, corrected, and "forgiven"--i.e. aufgehoben into vanishing moments of a universal totality. ;In opposition to most traditional interpretations of Hegel, the position is maintained that Hegel himself deliberately faced this problem, and that a true understanding of his proposed solution requires a radical Aufhebung of the concept of cognition as such. Relying primarily on the penultimate chapters of the Phenomenology of Spirit, the dissertation argues that absolute knowledge can neither be a finalized system of fully explicit content, nor an endless movement toward such an ideal state. ;This dissertation undertakes a critical examination of one central problem in Hegelian philosophy: viz., whether the final realization of "absolute knowledge" is logically consistent with significant epistemic progress in the system's continuing development. Serious consideration of the concept of systematic completeness, as interpreted on Hegel's terms, uncovers the existence of a profound paradox. On the one hand, if the Truth is the Whole, then the truth of any finite part or aspect of that Whole depends upon its place within the system as a totality. In order to grasp the part and comprehend it correctly, one must already have a systematically ordered knowledge of the universe in its entirety. Yet the methodological open-endedness of dialectical thinking precludes the acceptance of any particular theoretical formulation as final or complete in itself. Hegel interprets the history of philosophy as a progression of successive formulations of the Truth, each of which improves on its predecessors by reconciling their internal contradictions, but no one of which is adequate in itself. Hence, no theoretical world view, including Hegel's own, can rest content within its limits, for the inevitable advance of thought must in the end throw it down. (shrink)

In this paper (a sequel to [4]) I put forward a "local" interpretation of mathematical concepts based on notions derived from category theory. The fundamental idea is to abandon the unique absolute universe of sets central to the orthodox set-theoretic account of the foundations of mathematics, replacing it by a plurality of local mathematical frameworks - elementary toposes - defined in category-theoretic terms.

In his monograph On Numbers and Games, J. H. Conway introduced a real-closed field containing the reals and the ordinals as well as a great many less familiar numbers including $-\omega, \,\omega/2, \,1/\omega, \sqrt{\omega}$ and $\omega-\pi$ to name only a few. Indeed, this particular real-closed field, which Conway calls No, is so remarkably inclusive that, subject to the proviso that numbers—construed here as members of ordered fields—be individually definable in terms of sets of NBG, it may be said to (...) contain “All Numbers Great and Small.” In this respect, No bears much the same relation to ordered fields that the system ℝ of real numbers bears to Archimedean ordered fields. In Part I of the present paper, we suggest that whereas $\mathbb{R}$should merely be regarded as constituting an arithmetic continuum, No may be regarded as a sort of absolute arithmetic continuum, and in Part II we draw attention to the unifying framework No provides not only for the reals and the ordinals but also for an array of non-Archimedean ordered number systems that have arisen in connection with the theories of non-Archimedean ordered algebraic and geometric systems, the theory of the rate of growth of real functions and nonstandard analysis. In addition to its inclusive structure as an ordered field, the system No of surreal numbers has a rich algebraico-tree-theoretic structure—a simplicity hierarchical structure—that emerges from the recursive clauses in terms of which it is defined. In the development of No outlined in the present paper, in which the surreals emerge vis-à-vis a generalization of the von Neumann ordinal construction, the simplicity hierarchical features of No are brought to the fore and play central roles in the aforementioned unification of systems of numbers great and small and in some of the more revealing characterizations of No as an absolute continuum. (shrink)

The purpose of this paper is to propose and defend an absolute principle of truthmaking, a maximalist one according to which every truth is made true by something in the world beyond itself. I maintain that an absolute principle must be true, that any weakened version is straightforwardly contradictory or incoherent. I criticize one principle of truthmaking (in terms of bald necessity) and articulate one in terms of the relation in virtue of. I then criticize other (...) principles of truthmaking in light of the latter, for I contend that in virtue of has a role in the theory of truthmaking that is essential and ineluctable. That all true representations have a truthmaker as defined by the principle I articulate is the absolute principle of truthmaking I defend. The crux of the paper is the arguments I present in defense of this absolute principle. In defending it against familiar objections to maximalism, an account of the truthmakers that seem to ground all true representations emerges. I maintain that such truthmakers are simple facts. With the absolute principle and its corollary account of truthmakers, this paper contains the core of a comprehensive theory of truthmaking. (shrink)

Human rights theory generally conceptualizes freedom of thought, conscience, religion, and belief as well as freedom of opinion and expression, as offering absolute protection in what is called the forum internum. At a minimum, this is taken to mean the right to maintain thoughts in one’s own mind, whatever they may be and independently of how others may feel about them. However, if we adopt this stance, it seems to imply that there exists an absolute right to hold (...) psychotic delusions. This article takes the position that this conclusion is ethically problematic from the perspective of psychiatric treatment and the rights of persons with psychosis. The article reflects on this particular challenge and sets forth an understanding of freedom in the forum internum that might apply to situations where for various reasons it is not, necessarily accurate to maintain that persons have an absolute right to their own thoughts. For the purpose of proposing such an understanding, the article engages with current debates within human rights theory and political philosophy and analyzes discussions about psychotic delusions and the way in which involuntary treatment is justified. Based on this analysis, this article in turn conceptualizes freedom in the forum internum as ‘negative liberty’, ‘authenticity’, and ‘capability’. This article suggests that when forum internum is redefined as encompassing a right to certain internal capabilities, the right remains meaningful for persons with psychotic delusions as well. (shrink)

The traditional absolutist-relationist debate is still clearly formulable in the context of General Relativity Theory (GTR), despite the important differences between Einstein's theory and the earlier context of Newtonian physics. This paper answers recent arguments by Robert Rynasiewicz against the significance of the debate in the GTR context. In his (1996) (‘Absolute vs. Relational Spacetime: An Outmoded Debate?’), Rynasiewicz argues that already in the late nineteenth century, and even more so in the context of General Relativity theory, the (...) class='Hi'>terms of the original Descartes–Newton–Leibniz dispute about space are not to be found. Nineteenth-century ether theories of electromagnetism, and the metric field of GTR, he claims, do not lend themselves to being interpreted clearly as either absolute space à la Newton, or relational structures à la either Descartes or Leibniz. I argue that, while in some imaginable theories Rynasiewicz's claim that the classical debate dissolves would be correct, in fact in the most important historical theories he discusses, this is not the case. In particular, I argue that in both Lorentz's ether theory and General relativity theory, there is a clear and compelling way to establish connections to the classical absolutist-relationist disputes, and that in both these theories it is the absolutist position that is prima facie victorious. To support my arguments and give a clear overview of the whole debate, I end by offering definitional sketches of relationism and absolutism (substantivalism) about spacetime in the context of contemporary physics. The sketches show the clear connections between these views today and their ancestors in Newton and Leibniz. But at the same time, they indicate how both views are not just claims about existing physical theories, but rather also bets about how future physics will clarify the ontological picture. (shrink)

This book investigates the relationship between Hegel's Science of Logic und metaphysics. Its main thesis is that Hegel makes a case for a reflexive theory of the absolute. The Author thus establishes a distinction between first and second order theories of the absolute. First order theories are basic descriptions of the absolute whose consistency can be verified in merely analytical terms. The second order theory intends not only to describe the absolute without contradictions, but also (...) to include coherently the thought regarding the absolute in the absolute as such. Hegel's simultaneous critique and defence of metaphysics hence consists in developing a second order theory of the absolute and refusing pre-Kantian metaphysics as a first order theory of the absolute. Thus, the author manages to resolve the dilemma between a pre-Kantian and a Kantian interpretation of Hegel's philosophy. He proves his thesis by reconstructing the "Vorbegriff" of the Encyclopedia and certain passages of the Science of Logic. (shrink)

In Absolute Music: The History of an Idea, Mark Evan Bonds presents a magisterial history of absolute music—a term Richard Wagner first coined in 1846, and yet which Bonds believes existed as an ‘idea’ going all the way back to Ancient Greece. Drawing primarily on the work of new musicologists in the United States in the 1980s as his point of departure, Bonds defines absolute music as a ‘regulative concept’ that allows him to discuss the ‘relationship between (...) music’s perceived essence and its effect’.1 1 The ‘essence-effect’ binarism provides a unique angle for his history, yet also locks his discussion into a conceptual framework that leads to either/or conclusions about absolute music’s moral, social, and aesthetic value. (shrink)

Abstract: Kant follows a substantial tradition by defining judgment so that it must involve a relation of concepts, which raises the question of why he thinks that single-term existential judgments should still qualify as judgments. There is a ready explanation if Kant is somehow anticipating a Fregean second-order account of existence, an interpretation that is already widely held for separate reasons. This paper examines Kant's early (1763) critique of Wolffian accounts of existence, finding that it provides the key idea in (...) his mature model of existential judgment, which is in fact sharply opposed to the Fregean strategy. By relating this to Kant's theory of judgment in general—in particular, to his claim for an isomorphism between the assertoric function of judgment and the category of existence—a preliminary case is made that absolute positing, far from being a marginal special case, accomplishes the primary function of judgment. This argument shows the importance of distinguishing between contexts in which Kant is treating judgment as a vehicle for inference (e.g. pure general logic) and contexts in which he is treating it, more robustly, as the cognition of an object. (shrink)

Is it possible to characterize the notion of proof in terms of acts, without focusing on a specific domain of application and a specific linguistic formalization of it? This is the question that this paper addresses through a comparative analysis between two logicians who reflected on this issue: Kurt Gödel and Jean-Yves Girard. A comparative analysis of their respective theoretical frames, their respective results, the similarities and the differences between their methodological assumptions is proposed. More specifically, the aim of (...) the paper is to compare Gödel’s notion of absolute proof and Girard’s notion of Ludic from their common core: a conception of proof in terms of acts. (shrink)

While acknowledging a certain affinity between his own thought and the Vedanta concept of a world-soul or universal spirit, Josiah Royce nevertheless locates this concept primarily in what he terms the Second Conception of Being—Mysticism. In his early magnum opus, The World and the Individual, Royce utilizes aspects of the Upanishads in order to flesh out his picture of the mystical understanding of and relationship to being. My primary concern in the present investigation is to introduce some nuance into (...) Royce’s conception of Indian thought, which may then serve to suggest similar possibilities for nuance for Royce’s conception of the Absolute. I will attempt to do in two primary ways: first, I will consider Royce’s use of Indian thought via the Upanishads in explicating his second historical conception of Being. I will then turn briefly to Emerson’s poem ‘Brahma’ and the Bhagavad Gita to see if a certain reversal that occurs in both places problematizes Royce’s depiction of the universal spirit in Indian thought as well as opens up new possibilities for Royce’s own Absolute. (shrink)

The constructive functional calculus for a sequence of commuting selfadjoint operators on a separable Hilbert space is shown to be independent of the orthonormal basis used in its construction. The proof requires a constructive criterion for the absolute continuity of two positive measures in terms of test functions.

Judith Jarvis Thomson and others contend that rights are pro-tanto rather than absolute, that is, that rights may permissibly be infringed in some circumstances. Alan Gewirth maintains that there are some rights that are absolute because infringing them would amount to unspeakable evil. However, there seem to be possible circumstances in which it would be permissible to infringe even those rights. Specificationists, such as Gerald Gaus, Russ Shafer-Landau, Hillel Steiner and Kit Wellman, argue that all rights are (...) class='Hi'>absolute because they have implicit exceptions, the exceptions being either right-voiding or right-compatible. Specificationists have charged pro-tantoism with preventing rights from being action-guiding, and pro-tantoists have levelled the same charge against specificationism. I show that both charges are mistaken. Pro-tantoists claim that specificationists cannot account for the moral remainder that we recognise in some circumstances and which can be explained by reference to a permissible right-infringement. Specificationists retort that the moral remainder can be explained by invoking compensation-rights. I show that the pro-tantoist claim is true and that the specificationist retort is false on two counts: explanation in terms of compensation-rights is not applicable to all cases; and it fails to account for the moral dynamic in the cases to which it is applicable. The contention that rights are pro-tanto does not conflict with the substance of the contention that rights are trumps, despite claims of specificationists to the contrary. (shrink)

The term “moral absolute” refers to many different ideas. In contemporary moral philosophy, it most commonly refers to the idea of a moral prohibition or rule that holds without exception. Less commonly, it refers to the idea of a moral rule or standard that applies to all moral agents, rather than only to members of a particular society or culture or only to particular individuals (e.g., those who accept it). The present topic is moral absolutes in the first of (...) these two senses (hereinafter, “moral absolutes”). Notable philosophers who have maintained that there are such absolutes include Immanuel Kant and Elizabeth Anscombe. And the debate over the existence of moral absolutes has implications not only for general moral theory, but also for many topics in applied ethics and just war theory. For example, the question of whether the prohibition on deliberately killing the innocent is absolute has important implications for abortion, euthanasia, and noncombatant immunity. (shrink)

In her seminal article ‘Modern Moral Philosophy’ (1958) Elizabeth Anscombe argued that we need a new ethics, one that uses virtue terms to generate absolute prohibitions against certain act-types. Leading contemporary virtue ethicists have not taken up Anscombe's challenge in justifying absolute prohibitions and have generally downplayed the role of rule-following in their normative theories. That they have not done so is primarily because contemporary virtue ethicists have focused on what is sufficient for characterizing the deliberation and (...) action of the fully virtuous person, and rule-following is inadequate for this task. In this article, I take up Anscombe's challenge by showing that rule-following is necessary for virtuous agency, and that virtue ethics can justify absolute prohibitions. First, I offer a possibility proof by showing how virtue ethics can generate absolute prohibitions in three ways: by considering actions that directly manifest vice or that cannot be performed virtuously; actions that are prohibited by one's institutional roles and practical identities; and actions that are prohibited by the prescriptions of the wise. I then seek to show why virtue ethicists should incorporate rule-following and absolute prohibitions into their theories. I emphasize the central role that rules have in the development of virtue, then motivate the stronger view that fully virtuous agents follow moral rules by considering the importance of hope, uncertainty about consequences, and taking responsibility for what eventuates. Finally, I provide an account of what Anscombe called a ‘corrupt mind’, explaining how our understanding of virtue is corrupted if we think that virtue may require us to do vicious actions. (shrink)

The absolute self-evidence of consciousness is due to the fact that the object of consciousness is present or immanent in it. We may therefore formulate the absolutely certain starting point of philosophy as follows: knowledge about an object immanent in consciousness is absolutely certain in so far as it is the actual testimony of the object about itself, and does not go beyond that which is present in consciousness. The criterion of the absolute certainty of such knowledge is (...) self evidence, i.e. the fact that it consists entirely of what is present in consciousness. To doubt such knowledge is absurd because it is not a copy of the object, it is not a symbol of it, but simply and directly contains the object itself as known. I designate the act of the immediate contemplation of objects by the term intuition. According to the epistemological theory which I began to work out in 1903 all our trustworthy knowledge is obtained by means of such immediate observation of objects as they are in themselves; I therefore call my theory of knowledge Intuitivism. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Absolute and Ordained Power of God in Sixteenth- and Seventeenth-Century TheologyFrancis Oakley[W]e must cautiously abandon [that more specious opinion of the Platonist and Stoick]... in this, that it... blasphemously invades the cardinal Prerogative of Divinity, Omnipotence, by denying him a reserved power, of infringing, or altering any one of those Laws which [He] Himself ordained, and enacted, and chaining up his armes in the adamantine fetters of (...) Destiny.Walter Charleton, The Darknes of Atheism Dispelled by the Light of Nature : A Physico-Theologicall Treatise (London, 1652)Of the various attributes characteristically ascribed to God in the Christian tradition—goodness, wisdom, omniscience, omnipotence, and the like—it is omnipotence which of recent years has most persistently been the object of focused attention among philosophers and historians alike. That that should be the case with philosophers working in the Anglo-American analytic tradition is not altogether surprising. While it is doubtless a development few would have predicted half a century ago, the years since then have seen something of a recrudescence of interest in a legislative or divine-command ethic. 1 Had that [End Page 437] not itself conspired to make omnipotence an obvious focus of philosophic attention, the deepening contemporaneous preoccupation with modal logic or the logic of possibility would surely have succeeded in so doing. Understood classically as affirming of God the ability to do all things and connoting a virtual capacity for action (as opposed to a power exercised in actuality), omnipotence has proven to be something of a troublesome notion, inviting unrestrained speculation about hypothetical divine action and generating a veritable cat’s cradle of philosophical conundrums concerning the relationship of God’s power to his will, wisdom, goodness, and justice.Medieval theologians and philosophers alike were forced to grapple with these taxing problems, 2 and philosophers of our own era have found them no less directly pertinent to their own logical and ethical concerns. 3 In 1955 Mackie inaugurated what was destined to become an ongoing discussion of omnipotence in the philosophical journals, 4 and such philosophers as Kenny and Keane, Cowan and Wolfe, Dummett, Plantinga, Swinburne, and Geach have been drawn into the fray. Since then, as a result, the pages of Mind, Philosophy, Philosophical Review, and even The Listener have been punctuated by their efforts to grapple with those venerable questions concerning the divine power that had exercised St. Peter Damiani in the mid-eleventh century, brought Abelard to grief a half-century later, and subsequently led Peter Lombard to devote to them a crucial and influential section of his Sentences—whether God of his omnipotence could undo the past, whether he could have made things other than he had, or created a world better than he did, and so on. 5 [End Page 438]While no medievalist can be expected to be anything but gratified by this unexpected testimony to the enduring significance and power of medieval scholastic concerns, those of us interested especially in the intellectual developments of the later-medieval centuries have particular reason to be energized by it. The years since Mackie launched this contemporary philosophical debate have also seen an intensification of interest on the part of historians in the ways in which, during these particular centuries, medieval thinkers themselves came to terms with the implications of the divine omnipotence and dealt with the theological and philosophical puzzles characteristically generated by that notion. Unlike the philosophers, whose concerns have been somewhat more broad-ranging, the historians have focused in particular on a quintessentially scholastic distinction that was developed, it has been said, “as a ‘yes and no’ answer to the question whether God is able to do or arrange things other than he did in creating the orders of nature and grace.” 6 The distinction in question is that between God’s power understood as absolute and as ordained (potentia dei absoluta et ordinata), which the theologians and philosophers of the period deployed as part of their great effort of accommodation between Greek philosophical and biblical notions of the divine, and the historical significance of which the scholarship of the past forty years has served increasingly to vindicate. 7 But while that distinction has been... (shrink)

Hegel’s “Absolute Knowing” and Shakespeare’s Troilus and Cressida are tragi-comic consternations. They are theatres of ethical panentheism: they present dramatic “absolute” ethical interpretations and actions, each of which is at once ungrounded and completely seeded. I start with the etymology of “consternation.” Then I discuss the comic vs. tragic interpretations of Hegel’s Phenomenology of Spirit, arguing it is a consternating tragi-comedy. I analyze the predicate “absolute” in terms of consternations, in a few passages of the book. (...) I elaborate especially upon phenomenological reasoning’s Sache selbst. In the Phenomenology, reason develops by thinking the absolute thing through culture, politics, morality, and religion, reaching completion in “Absolute Knowing.” That absolute is reason’s comprehensive insight into its phenomenological absolutes, and its own absolute sublating. Northrop Frye’s cited claim about myth can be understood in this phenomenological way. With all this in hand, Hegel’s science of experience is formally complete. But the experience of Absolute Knowing is still consternation. To capture the consternating essence of sublation – a consternation by which experience becomes something it was not before – I season this formal science with Shakespeare’s “comedy” Troilus and Cressida, revealing its structural roots to be consternations. (shrink)

In the second section of the Groundwork for the Metaphysics of Morals, Kant introduces the concept of an end in itself and defines it as something whose existence has an absolute value. He continues with the assertion that the ground of a possible categorical imperative lies solely in this end in itself. Now Kant, in his remarks on the realm of ends, also operates with the notions of an end in itself and absolute value — seemingly in a (...) different way, however. Thus, in the remarks on the realm of ends, the rational being becomes an end in itself through its real moral willing and acting, both of which presuppose the validity of the categorical imperative. Basically, the difference in the ways of using the concepts of absolute value and an end in itself consists in the fact that in the first case both serve as precondition for the categorical imperative’s validity, whereas in the passages concerning the realm of ends both are a consequence of its validity. At first glance we therefore must register an inconsistent use of both terms. In what follows, I aim to show that the assumption of such a putative inconsistency expresses a misleading understanding of the internal structure of the end in itself rather than a real problem in Kant’s way of arguing. The present study tries to solve this supposed problem of inconsistency by sketching a more appropriate understanding of the internal structure of the end in itself. (shrink)

This chapter contains sections titled: Appendix: Some Formal Principles and Arguments.

The Anderson-Friedman absolute objects program has been a favorite analysis of the substantive general covariance that supposedly characterizes Einstein's General Theory of Relativity (GTR). Absolute objects are the same locally in all models (modulo gauge freedom). Substantive general covariance is the lack of absolute objects. Several counterexamples have been proposed, however, including the Jones-Geroch dust and Torretti constant curvature spaces counterexamples. The Jones-Geroch dust case, ostensibly a false positive, is resolved by noting that holes in the dust (...) in some models ensure that no physically relevant nonvanishing timelike vector field exists there, so no absolute object exists. The Torretti constant curvature spaces case, allegedly a false negative, is resolved by testing an irreducible piece of the metric, the conformal metric density of weight -2/3, for absoluteness; this geometric object is absolute. A new counterexample is proposed involving the orthonormal tetrad said to be necessary to couple spinors to a curved metric. The threat of finding an absolute object in GTR + spinors is overcome by the use of an alternative spinor formalism that takes a symmetric square root of the metric (with the help of the matrix diag(-1,1,1,1)), eliminating 6 of the 16 tetrad components as irrelevant. The importance of eliminating irrelevant structures, as Anderson emphasized, is clear. The importance of the choice of physical fields is also evident. A new counterexample due to Robert Geroch and Domenico Giulini, however, finds an absolute object in vacuum GTR itself, namely the scalar density $g$ given by the metric components' determinant. Thus either the definition of absoluteness or its use to analyze GTR's substantive general covariance is flawed. Anderson's belief that all absolute objects are nonvariational (that is, not varied in a suitable action principle) and vice versa is also falsified by the Geroch-Giulini counterexample. However, it remains plausible that all nonvariational fields are absolute, so adding nonvariationality as a necessary condition for absoluteness, as Hiskes once suggested, would likely leave no useful work to the Anderson-Friedman condition of sameness in all models. Simply having only variational fields in an action principle (suitably free of irrelevant fields) might be a satisfactory analysis of substantive general covariance, if one exists. This proposal also resembles the suggestion that GTR is "already parameterized," if one decides to parameterize theories by defining the nonvariational fields in terms of preferred coordinates called clock fields. More questions need to be addressed. Which fields should be tested for absoluteness: only primitive fields (which ones?), or all or some (which?) of their concomitants also? Geroch observes that some kinds of geometric objects, such as tangent vectors, scalar densities, and tangent vector densities of non-unit weight, satisfy the condition of sameness in all models if they merely fail to vanish. If these "susceptible" geometric objects can hardly help being absolute, to what degree are they, or the theories harboring them, responsible for this absoluteness? The answer to this question helps to determine the significance of the Geroch-Giulini counterexample. (shrink)

In “Desire as Belief” and “Desire as Belief II,” David Lewis ( 1988 , 1996 ) considers the anti-Humean position that beliefs about the good require corresponding desires, which is his way of understanding the idea that beliefs about the good are capable of motivating behavior. He translates this anti-Humean claim into decision theoretic terms and demonstrates that it leads to absurdity and contradiction. As Ruth Weintraub ( 2007 ) has shown, Lewis’ argument goes awry at the outset. His (...) decision theoretic formulation of anti-Humeanism is one that no sensible anti-Humean would endorse. My aim is to demonstrate that Lewis’ infelicitous rendering of anti-Humeanism really does undermine the force of his arguments. To accomplish this, I begin by developing a more adequate decision theoretic rendering of the anti-Humean position. After showing that my formulation of anti-Humeanism constitutes a plausible interpretation of the anti-Humean thesis, I go on to demonstrate that if we adopt this more accurate rendition of anti-Humeanism, the view is no longer susceptible to arguments like the ones Lewis has devised. I thereby provide a more robust response to Lewis’ arguments than has yet been offered, and in the process I develop a formulation of anti-Humeanism that creates the possibility for future decision theoretic arguments that, unlike Lewis’, speak directly to the plausibility of anti-Humeanism. (shrink)

Cantor argued that absolute infinity is beyond mathematical comprehension. His arguments imply that the domain of mathematics cannot be grasped by mathematical means. We argue that this inability constitutes a foundational problem. For Cantor, however, the domain of mathematics does not belong to mathematics, but to theology. We thus discuss the theological significance of Cantor’s treatment of absolute infinity and show that it can be interpreted in terms of negative theology. Proceeding from this interpretation, we refer to (...) the recent debate on absolute generality and argue that the method of diagonalization constitutes a modern version of the vianegativa. On our reading, negative theology can evoke an attitude of humility with respect to the boundedness of the human condition. Along these lines, we think that the foundational problem of mathematics concerning its domain can be addressed through a methodological attitude of humility. (shrink)

The debate about the relation between science and truth is manifestly epistemological, but latently and fundamentally metaphysical. Popper's theory of verisimilitude provides us with a striking example. According to Popper, science aims at bringing us nearer to 'absolute, objective truth'; the growth of scientific knowledge is seen as a never ending realisation of that ultimate aim. This thesis of verisimilitude can be interpreted in two ways. In the first interpretation the thesis appears as a correct, but formal and even (...) trivial statement. Here the thesis that science aims at bringing us nearer to truth is as unilluminating as the thesis that moral endeavor aims at bringing us nearer to the Moral Good or that artistic endeavor aims at bringing us nearer to Aesthetic Beauty. According to the second interpretation, however, the thesis has a more substantial and metaphysical meaning. Here it consists of three different claims : 1. scientific endeavor points to something which is beyond and actual or humanly possible scientific achievement; 2. it is in this relation with something transcendent that the ultimate purpose of science is to be sought; 3. the relation between actual science and its transcendent should be seen as a part-whole relation, i.e. the transcendent goal should be represented as the ideal of total intelligibility. In this article the first and second claim are accepted; the third is rejected. One should accept the idea (put forward by Einstein ) that science points to a mystery beyond science. One should beware, however, of equating the sense of mystery with an anticipation for yet hidden information, inaccessible to us, but 'quoad se' accessible to reason. Science's transcendent mystery should be viewed in a more radical way. That is to say, the relation between actual science and its transcendent mystery is analogous to the relation between, on the one hand, the information contained in and derivable from a (good) poem and, on the other hand something else which is poetically suggested, yet does not consist in hidden information. What is evoked by poetry and science, is not even in principle translatable in terms of an informative content. Therefore the ultimate goal of science is not the ideal of knowing everything with the clarity and precision of science ; it is rather the awareness of a mystery which does not even exist as the sort of intelligible content scientific theories attempt to mirror. (shrink)

Philosophical debate about the problem of evil derives, in part, from differing definitions of almighty power or omnipotence. Modern atheists such as John McTaggart, J. L. Mackie, Earl Condee, and Danny Goldstick maintain that an omnipotent God must be able to accomplish anything, even if it entails a contradiction. On this account, the Christian God cannot be omnipotent and benevolent, for a benevolent, omnipotent God would have forced free agents to desist from evil and this prevented the introduction of suffering (...) into the world. It does not matter if the idea of creating free agents that were forced to be good entails a contradiction. On this account, a God who is truly omnipotent can perform contradictory feats.In this paper, I argue that the atheistic tradition is mistaken. In the first place, even an absolutely omnipotent God could, as an act of benevolence, create a world in which there is suffering. In the second place, I argue that the concept of absolute omnipotence is fatally flawed. An absolutely omnipotent God would lack, in a decisive sense, power. He would be weak rather than strong. So the atheist's argument fails when it is evaluated in light of a more rational account of omnipotence and when it is carefully considered on its own terms. (shrink)

Morris and Menzel’s view that God is the Creator of abstract as well as concrete objects is variously referred to by the labels “absolute creation” and “theistic activism.” To use these labels synonymously, however, exhibits a lack of discrimination. Theistic activism is the project of grounding modality in God, particularly in the divine will. Absolute creationism is a nonmodal project which regards abstract objects as created by God. The synonymous use of these terms results in confusion in (...) debates over divine aseity and sovereignty. Philosophical discussion will benefit if we adopt a uniform terminology discriminating between these different views. (shrink)

This essay is an attempt at opening parallel but contrastive avenues into the respective Christian and Buddhist outlooks with respect to the metaphysical notion of relativity in contradistinction with the concept of the Absolute. The main thesis is that Christianity and Buddhism present us, in their respective normative intellectual economies, with analogous, yet profoundly different ways of envisioning metaphysics from the vantage point of their sui generis soteriology. In other terms, our argument is that Christian and Buddhist metaphysics (...) are essentially informed by the tenets of their spiritual way, whether redemptive or emancipative. Furthermore, these forms of “soteriological metaphysics” could be encapsulated in the twin nutshells of an “absolutization of the relative” on the one hand, and a “relativization of the absolute” on the other hand. The first formula refers, more specifically, to Christian Trinitarian theology, and the second to the Buddhist ontology of emptiness. These two formulas provide a theoretical framework that suggests both the internal coherence of each tradition and the ways in which this coherence is variously understood within the tradition itself. In the soteriological emphasis of these two traditions lies a possible—but not exclusive—way to open a wider space for a hermeneutics of aspects and vantage points, as well as for warding off any overly rigid conceptual crystallizations through a deeper recognition of the interplay between principled intellectual unity and the manifold of human existence. This essay is the second section of the article, and focuses on the Buddhist tradition. (shrink)

This essay is an attempt at opening parallel but contrastive avenues into the respective Christian and Buddhist outlooks with respect to the metaphysical notion of relativity in contradistinction with the concept of the Absolute. The main thesis is that Christianity and Buddhism present us, in their respective normative intellectual economies, with analogous, yet profoundly different ways of envisioning metaphysics from the vantage point of their sui generis soteriology. In other terms, our argument is that Christian and Buddhist metaphysics (...) are essentially informed by the tenets of their spiritual way, whether redemptive or emancipative. Furthermore, these forms of “soteriological metaphysics” could be encapsulated in the twin nutshells of an “absolutization of the relative” on the one hand, and a “relativization of the absolute” on the other hand. The first formula refers, more specifically, to Christian Trinitarian theology, and the second to the Buddhist ontology of emptiness. These two formulas provide a theoretical framework that suggests both the internal coherence of each tradition and the ways in which this coherence is variously understood within the tradition itself. In the soteriological emphasis of these two traditions lies a possible—but not exclusive—way to open a wider space for a hermeneutics of aspects and vantage points, as well as for warding off any overly rigid conceptual crystallizations through a deeper recognition of the interplay between principled intellectual unity and the manifold of human existence. This essay is the first section of the submission, which is focusing on the Christian tradition. (shrink)

This paper considers various senses of the notion of identity and describes the strongest sense of the term—what it labels “absolute identity.” Absolute identity combines monistic identity of all in all as one substance with the absence of internal differentiation. The paper explores the possibility of absolute identity along three lines—linguistic, mental, and ontological. It determines that though there are serious difficulties, linguistic and mental, involved with positing absolute identity the possibility of its coming to be (...) real cannot be ruled out. Finally, on grounds of its lack of coherence-functionality absolute identity is rejected as an adequate conception of the world. The paper closes with a discussion of the ramifications of the denial of absolute identity. (shrink)

Suárez's discussion of time in the Metaphysical Disputations is one of the earliest long treatises on time (extending over sixty pages), and includes detailed arguments supporting the view that physical actions take place within an absolute temporal reference frame. Whereas some previous thinkers, such as John Duns Scotus and Peter Aureole, had made tantalising suggestions that time exists independently of physical changes, their ideas were primarily negative theses in response to perceived problems with the dominant view that time was (...) caused by the celestial motion. Suárez, in contrast, provides a positive thesis based on his revision of traditional, Scholastic metaphysics. He argues that the ordering of earlier and later events can only be understood by conceiving events as existing within the embrace of a ?flowing and successive space? which he refers to as ?entirely necessary and immutable in its own flux? (omnino necessarium et immutabile in suo fluxu) - something at least very like an absolute temporal reference frame. Yet it would be simplistic to describe Suárez's work on time only in terms of its nascent absolutism, since for him there is a second kind of time, a more properly ?real? time, which is an accident of material being. This kind of time is ontologically tied to the most intimate existence of objects, creating a plurality of individual continua of time - one for each distinct being. He calls this kind of time ?intrinsic time? (tempus intrinsecum). Suárez's dualistic account of time, in which he proposes an ?intrinsic time?, linked to being, which exists within a second order absolute temporal reference frame, or ?imaginary succession?, forms a bridge between scholasticism and early modern philosophy providing a foundation for the work of later absolutists like Gassendi and Newton. (shrink)

From the author: This dissertation undertakes a critical examination of one central problem in Hegelian philosophy: viz., whether the final realization of “absolute knowledge” is logically consistent with significant epistemic progress in the system’s continuing development. Serious consideration of the concept of systematic completeness, as interpreted on Hegel’s terms, uncovers the existence of a profound paradox. On the one hand, if the Truth is the Whole, then the truth of any finite part or aspect of that Whole depends (...) upon its place within the system as a totality. In order to grasp the part and comprehend it correctly, one must already have a systematically ordered knowledge of the universe in its entirety. Yet the methodological open-endedness of dialectical thinking precludes the acceptance of any particular theoretical formulation as final or complete in itself. Hegel interprets the history of philosophy as a progression of successive formulations of the Truth, each of which improves on its predecessors by reconciling their internal contradictions, but no one of which is adequate in itself. Hence, no theoretical world view, including Hegel’s own, can rest content within its limits, for the inevitable advance of thought must in the end throw it down. (shrink)

This paper examines a topic already much discussed in Royce’s time, namely the debate between Royce and James over the absolute. However, the occasion for taking up this topic again is John E. Smith’s article in which it is claimed that Royce’s own intellectual development moves away from his earlier conception of the absolute and toward the concept of community. This is not so much a conceptual development on Royce’s part, but rather a gradual clarification of Royce’s basic (...) concepts and position. Nevertheless, the ultimate import of Smith’s article is ambiguous in that the impression is created that Royce abandons not only the term “absolute” but the very concept as well, in favor of the concept of community. This seems to mean that Royce abandons the position he defended against James’s criticism and ends in a Feuerbach-style substitution of the concept of human community for the traditional concept of the absolute. However, Smith has vigorously denied that such is the case. Hence a perplexity: Does Royce abandon the concept of the absolute in favor of the concept of community? If, as Smith contends, Royce merely modifies rather than abandons his early position altogether, is the modified position a consistent one? Are the concepts of the absolute and community compatible or antithetical? (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Absolute and Ordained Power of God and King in the Sixteenth and Seventeenth Centuries: Philosophy, Science, Politics, and LawFrancis OakleyThe quintessentially scholastic distinction between God’s power understood as absolute and ordained (potentia dei absoluta et ordinata) has been described “as a ‘yes and no’ answer to the question whether God is able to do or arrange things other than he did in creating the orders of (...) nature and grace.” 1 The importance of that distinction the historical scholarship of the past forty years has served increasingly to indicate. 2 The idea that it expressed had emerged already in the twelfth century, and in the standard form familiar to us from later years we now know it to have surfaced among the theologians of Paris in the opening years of the thirteenth. We also know that long before the end of the thirteenth century it had come to be understood in the two distinct ways that were to persist on through the late medieval and early modern centuries and to be acknowledged in the neo-scholastic manuals of the late nineteenth century.According to the first of these understandings, embedded in the classical formulations given to the distinction by Albertus Magnus, Thomas Aquinas, William of Ockham, and many other later thinkers, the term potentia absoluta was used simply to denote God’s power in itself, taken in abstracto and without reference to the orders of nature and grace he has actually willed de potentia ordinata to establish. There was no question, that is, of the absolute power’s [End Page 669] being understood as a presently-active power by means of which God intervenes in the world to act apart from or set aside the order established by the ordained power. It refers instead to God’s ability to do many things he does not choose to do. Or put in the temporal terms that William Courtenay favors, it refers to “the total possibilities initially open to God, some of which were realized by creating the established order,” the “unrealized possibilities” being “now only hypothetically possible.” 3Side by side with this “classical” usage, however, there had emerged already in the thirteenth century what has been called a “juristic” or “opera-tionalized” understanding of the potentia dei absoluta as a presently-active power of potential interposition in the established order. Thus Duns Scotus, who gave a most influential expression to this alternative understanding, drawing an analogy not only with kings but with any free agent within whose power the law falls, distinguished between the ordained power by which God acts de jure in accordance with the rightful law he has established and the absolute power whereby de facto he can act apart from or against the law. In such a formulation the absolute power clearly exceeds the ordained. Rather than referring simply to the realm of logical possibility prior to God’s ordination of things, that absolute power is now construed as a presently-active and extraordinary power capable of acting apart from the order established de potentia ordinata and prevailing in the ordinary course of things. This “juristic” understanding of the distinction was clearly affiliated closely with the cognate distinction that medieval canonists invoked as early as the thirteenth century in an attempt to elucidate what the pope, in the absoluteness of his plenitudo potestatis, or absolute power, could do that was not open for him to do when acting in accordance with his merely ordained or “ordinary” power.Philosophy and ScienceIn an earlier and complementary article, I traced the career of the power distinction, as well as the persistence of the two distinct ways of understanding it, across the fifteenth century and on into the thinking of sixteenth- and seventeenth-century theologians, Lutheran and Reformed as well as Catholic. 4 It remains now to go on to demonstrate that the currency of the distinction in these later centuries was no more confined to strictly theological circles or settings than it had been during the Middle Ages. The Coimbran commentators and Suárez certainly deployed it for more generally philosophical purposes, 5 [End Page 670] and in the seventeenth century they were by no means... (shrink)

In this essay, I focus on the way Hegel reconciles consciousness and self-consciousness in absolute knowing. What I want to suggest is that in absolute knowing the conscious subject comes to understand itself in terms of these conditions, providing it with the content of a new form of consciousness. It is in conceiving of itself in terms of these objective conditions for knowledge, which supersede the singularity of the self and yet are the conditions for consciousness, (...) that the conscious subject is to be understood as self-transcending. (shrink)

Sophist 255c14 distinguishes καθ’ αὑτά and πρὸς ἄλλα (in relation to others). Many commentators identify this with the ‘absolute’ and ‘relative’ category distinction. However, terms such as ‘same’ cannot fit into either category. Several reliable manuscripts read πρὸς ἄλληλα (in relation to each other) for πρὸς ἄλλα. I show that πρὸς ἄλληλα is a palaeographically plausible reading which accommodates the problematic terms. I then defend my reading against objections.

Absolutism about mass claims that mass ratios obtain in virtue of absolute masses. Comparativism denies this. Dasgupta, Oxford studies in metaphysics, Oxford University Press, Oxford, 2013) argues for comparativism about mass, in the context of Newtonian Gravity. Such an argument requires proving that comparativism is empirically adequate. Dasgupta equates this to showing that absolute masses are undetectable, and attempts to do so. This paper develops an argument by Baker to the contrary: absolute masses are in fact empirically (...) meaningful, that is detectable. Additionally, it is argued that the requirement of empirical adequacy should not be cashed out in terms of undetectability in the first place. The paper closes by sketching the possible strategies that remain for the comparativist. Along the way a framework is developed that is useful for thinking about these issues: Ozma games—how could one explain to an alien civilisation what an absolute mass is? (shrink)

Jacques Derrida: Law as Absolute Hospitalityãeepresents a comprehensive account and understanding of Derridaâe(tm)s approach to law and justice. Through a detailed reading of Derridaâe(tm)s texts, Jacques de Ville contends that it is only by way of Derrida's deconstruction of the metaphysics of presence, and specifically in relation to the texts of Husserl, Levinas, Freud and Heidegger - that the reasoning behind his elusive works on law and justice can be grasped. Through detailed readings of texts such as To speculate (...) âe" on Freud, Adieu, Declarations of Independence, Before the Law, Cogito and the history of madness, Given Time, Force of Law and Specters of Marx, De Ville contends that there is a continuity in Derridaâe(tm)s thinking, and rejects the idea of an âe~ethical turnâe(tm). Derrida is shown to be neither a postmodernist nor a political liberal, but a radical revolutionary. De Ville also controversially contends that justice in Derridaâe(tm)s thinking must be radically distinguished from Levinasâe(tm)s reflections on âe~the otherâe(tm). It is the notion of absolute hospitality - which Derrida derives from Levinas, but radically transforms - that provides the basis of this argument. Justice must on De Villeâe(tm)s reading be understood in terms of a demand of absolute hospitality which is imposed on both the individual and the collective subject. A much needed account of Derrida's influential approach to law,ãeeJacques Derrida: Law as Absolute Hospitalityãeewill be an invaluable resource for those with an interest in legal theory, and for those with an interest in the ethics and politics of deconstruction. (shrink)

We outline a theory of the cognitive role of belief in absolute necessity that is normative and intended to be metaphysically neutral. We take this theory to be unique in scope since it addresses simultaneously the questions of how such belief is (properly) acquired and of how it is (properly) manifest. The acquisition and manifestation conditions for belief in absolute necessity are given univocally, in terms of complex higher-order attitudes involving two distinct kinds of supposition (A-supposing and (...) C-supposing). It is subsequently argued that the proposed acquisition and manifestation conditions are rationally interdependent, and that such harmony affords explanations of connections between different facets of belief in necessity that otherwise remain mysterious. (shrink)

This is a critical analysis of the first part of Go¨del’s 1951 Gibbs lecture on certain philosophical consequences of the incompleteness theorems. Go¨del’s discussion is framed in terms of a distinction between objective mathematics and subjective mathematics, according to which the former consists of the truths of mathematics in an absolute sense, and the latter consists of all humanly demonstrable truths. The question is whether these coincide; if they do, no formal axiomatic system (or Turing machine) can comprehend (...) the mathematizing potentialities of human thought, and, if not, there are absolutely unsolvable mathematical problems of diophantine form. (shrink)

Peter Kivy has said that the power of purely instrumental music remains an unexplained wonder. With this larger question in mind, I will consider: the issues in musical aesthetics that led to what Kivy termed his enhanced formalism, his conception of expressive properties in music and how a distinction between having and understanding an emotion can help clarify this issues here, and, most importantly for Kivy’s larger mystery, the way that counterpoint, in an often unrecognized way, can present mimetic content (...) of a kind that can explain the sense of musical profundity that it often awakens. It may turn out that absolute music’s profundity can be explained by the resonances this kind of layered and complex music has with the living, the ordering, the making sense, of a life. (shrink)

Knowledge is analyzed in terms of the cost incurred when mistakes are made — things we should have known better, but didn’t. Following Wittgenstein at the end of On Certainty, an Epistemic Wager, similar to Pascal’s Wager, is set up to represent the cost differences not in belief vs. disbelief, but in knowledge vs. skepticism. This leads to a core class of absolutely certain knowledge, related to Moorean Facts, that is integrated into our everyday lives. This core knowledge is (...) resistant to both radical skepticism, such as a Cartesian Demon, and Gettier style objections, while providing a small, but sufficient base for future epistemological research. (shrink)

Proposals for rigorously explicating the concept of confirmation in probabilistic terms abound. To foster discussions on the formal properties of the proposed measures, recent years have seen the upshot of a number of representation theorems that uniquely determine a confirmation measure based on a number of desiderata. However, the results that have been presented so far focus exclusively on the concept of incremental confirmation. This leaves open the question whether similar results can be obtained for the concept of (...) class='Hi'>absolute confirmation. This article closes the gap by providing a representation theorem for absolute confirmation measures. (shrink)