This paper and its sequel “look under the hood” of the usual sorts of proof-theoretic systems for certain well-known intuitionistic and classical propositional modal logics. Section 1 is preliminary. Of most importance: a marked formula will be the result of prefixing a formula in a propositional modal language with a step-marker, for this paper either 0 or 1. Think of 1 as indicating the taking of “one step away from 0.” Deductions will be constructed using marked formulas. Section 2 presents (...) the model-theoretic concepts, based on those in [7], that guide the rest of this paper. Section 3 presents Natural Deduction systems IK and CK, formalizations of intuitionistic and classical one-step versions of K. In these systems, occurrences of step-markers allow deductions to display deductive structure that is covered over in familiar “no step” proof-theoretic systems for such logics. Box and Diamond are governed by Introduction and Elimination rules; the familiar K rule and Necessitation are derived (i.e. admissible) rules. CK will be the result of adding the 0-version of the Rule of Excluded Middle to the rules which generate IK. Note: IK is the result of merely dropping that rule from those generating CK, without addition of further rules or axioms (as was needed in [7]). These proof-theoretic systems yield intuitionistic and classical consequence relations by the obvious definition. Section 4 provides some examples of what can be deduced in IK. Section 5 defines some proof-theoretic concepts that are used in Section 6 to prove the soundness of the consequence relation for IK (relative to the class of models defined in Section 2.) Section 7 proves its completeness (relative to that class). Section 8 extends these results to the consequence relation for CK. (Looking ahead: Part 2 will investigate one-step proof-theoretic systems formalizing intuitionistic and classical one-step versions of some familiar logics stronger than K.). (shrink)

Discerning the decisionmaking of Kim Jong-Un and the North Korean regime on issues of peaceful engagement and warlike actions endures as a mighty challenge for U.S. intelligence analysts and policymakers. In this report, we seek to inform analysis of Democratic People’s Republic of Korea (DPRK) leadership decisionmaking. To do so, we use three discussion papers that were written to facilitate discussion of an interagency working group. The three papers are assembled here in a single report. The first discussion paper describes (...) decisionmaking among different authoritarian regimes, including North Korea, and the opening up of those economies to outside engagement. The second paper outlines two different scenarios that might occur when conventional deterrence on the Korean Peninsula breaks down and the resulting decisions that North Korea’s leadership could face. The third paper assesses DPRK decisionmaking about nuclear weapon use. The report concludes with some observations, drawn from the issues covered in these three discussion papers, about DPRK decisionmaking and stability on the Korean Peninsula. (shrink)

Part 1 [Hodes, 2021] “looked under the hood” of the familiar versions of the classical propositional modal logic K and its intuitionistic counterpart. This paper continues that project, addressing some familiar classical strengthenings of K and GL), and their intuitionistic counterparts. Section 9 associates two intuitionistic one-step proof-theoretic systems to each of the just mentioned intuitionistic logics, this by adding for each a new rule to those which generated IK in Part 1. For the systems associated with the intuitionistic counterparts (...) of D and T, these rules are “pure one-step”: their schematic formulations does not use □ or ♢. For the systems associated with the intuitionistic counterparts of K4, etc., these rules meet these conditions: neither □ nor ♢ is iterated; none use both □ and ♢. The join of the two systems associated with each of these familiar logics is the full one-step system for that intuitionistic logic. And further “blended” intuitionistic systems arise from joining these systems in various ways. Adding the 0-version of Excluded Middle to their intuitionistic counterparts yields the one-step systems corresponding to the familiar classical logics. Each proof-theoretic system defines a consequence relation in the obvious way. Section 10 examines inclusions between these consequence relations. Section 11 associates each of the above consequence relations with an appropriate class of models, and proves them sound with respect to their appropriate class. This allows proofs of some failures of inclusion between consequence relations. Section 12 proves that the each consequence relation is complete or weakly complete, that relative to its appropriate class of models. The Appendix presents three further results about some of the intuitionistic consequence relations discussed in the body of the paper. For Keywords, see Part 1. (shrink)

Relative to any reasonable frame, satisfiability of modal quantificational formulae in which “= ” is the sole predicate is undecidable; but if we restrict attention to satisfiability in structures with the expanding domain property, satisfiability relative to the familiar frames (K, K4, T, S4, B, S5) is decidable. Furthermore, relative to any reasonable frame, satisfiability for modal quantificational formulae with a single monadic predicate is undecidable ; this improves the result of Kripke concerning formulae with two monadic predicates.

What responsibilities do audiences have in engaging with artworks? Certain audience responses seem quite clear: for example, audiences should not vandalize or destroy artworks; they should not disrupt performances. This paper examines other kinds of resisting responses that audiences sometimes engage in, including petitioning the artist to change their works, altering copies of artworks, and creating new artworks in another artist’s fictional world. I argue for five claims: (1) while these actions can sometimes infringe on the rights of artists, the (...) rights of artists are not absolute; (2) the fact that such actions are based on mistaken interpretations of the artworks has no normative weight; (3) there can be reason to object to additions and alterations whose conception of the artwork is morally worse than the original (and so, there can be reason to support additions and alterations whose conception is morally better); (4) petitioning raises special moral problems; and, most important, (5) some of these actions are valuable because they involve creative and aesthetic activity. Those acts of audience resistance that are creative, morally improve on the original work, and that minimize the infringement of the artists’ rights are good, and should be encouraged. (shrink)

In this volume, leading philosophers of psychiatry examine psychiatric classification systems, including the Diagnostic and Statistical Manual of Mental Disorders, asking whether current systems are sufficient for effective diagnosis, treatment, and research. Doing so, they take up the question of whether mental disorders are natural kinds, grounded in something in the outside world. Psychiatric categories based on natural kinds should group phenomena in such a way that they are subject to the same type of causal explanations and respond similarly to (...) the same type of causal interventions. When these categories do not evince such groupings, there is reason to revise existing classifications. The contributors all question current psychiatric classifications systems and the assumptions on which they are based. They differ, however, as to why and to what extent the categories are inadequate and how to address the problem. Topics discussed include taxometric methods for identifying natural kinds, the error and bias inherent in DSM categories, and the complexities involved in classifying such specific mental disorders as "oppositional defiance disorder" and pathological gambling. -/- Contributors George Graham, Nick Haslam, Allan Horwitz, Harold Kincaid, Dominic Murphy, Jeffrey Poland, Nancy Nyquist Potter, Don Ross, Dan Stein, Jacqueline Sullivan, Serife Tekin, Peter Zachar. (shrink)

Aesthetic internalism claims a link between judgement and motivation: aesthetic judgements bring with them motivations to act in characteristic ways. Critics object that there is a difference between merely liking something and judging it to be aesthetically good, and that it is our likings, not our aesthetic judgements, that motivate us. This paper develops a version of aesthetic internalism that can respond to this criticism. Wholehearted aesthetic judgements are characterized by stability, attention, and motivation. Making such judgements is an important (...) part of a good life, and so at least some aesthetic judgements are motivating. So we have reason to think that this version of aesthetic internalism is true. This paper defends wholehearted aesthetic internalism against objections, and assesses an argument from aesthetic internalism to aesthetic non-cognitivism. While wholehearted aesthetic internalism can only offer qualified support to non-cognitivism, it nonetheless offers a number of fruitful avenues for further work. (shrink)

This article tackles the sole surviving ancient commentary on what was perhaps the second most important Platonic work, with special interest for the manner in which the ancients tackled the setting of Plato's dialogues, Socratic ignorance, Socratic eros, the central myth-like Palinode, and the question of oral as against written teaching.

This paper considers two reasons that might support Russell’s choice of a ramified-type theory over a simple-type theory. The first reason is the existence of purported paradoxes that can be formulated in any simple-type language, including an argument that Russell considered in 1903. These arguments depend on certain converse-compositional principles. When we take account of Russell’s doctrine that a propositional function is not a constituent of its values, these principles turn out to be too implausible to make these arguments troubling. (...) The second reason is conditional on a substitutional interpretation of quantification over types other than that of individuals. This reason stands up to investigation: a simple-type language will not sustain such an interpretation, but a ramified-type language will. And there is evidence that Russell was tacitly inclined towards such an interpretation. A strong construal of that interpretation opens a way to make sense of Russell’s simultaneous repudiation of propositions and his willingness to quantify over them. But that way runs into trouble with Russell’s commitment to the finitude of human understanding. (shrink)

This paper has three aims: to define autonomism clearly and charitably, to offer a positive argument in its favour, and to defend a larger view about what is at stake in the debate between autonomism and its critics. Autonomism is here understood as the claim that a valuer does not make an error in failing to bring her moral and aesthetic judgements together, unless she herself values doing so. The paper goes on to argue that reason does not require the (...) valuer to make coherent her aesthetic and moral evaluations. Finally, the paper shows that the denial of autonomism has realist commitments that autonomism does not have, and concludes that issues of value realism and irrealism are relevant to the debates about autonomism in ways that have not hitherto been recognized. (shrink)

Divers presents a set of de re modal truths which, he claims, are inconvenient for Lewisean modal realism. We argue that there is no inconvenience for Lewis.

Immoralists hold that in at least some cases, moral fl aws in artworks can increase their aesthetic value. They deny what I call the valence constraint: the view that any effect that an artwork’s moral value has on its aesthetic merit must have the same valence. The immoralist offers three arguments against the valence constraint. In this paper I argue that these arguments fail, and that this failure reveals something deep and interesting about the relationship between cognitive and moral value. (...) In the fi nal section I offer a positive argument for the valence constraint. (shrink)

© British Society of Aesthetics 2018. Published by Oxford University Press on behalf of the British Society of Aesthetics. All rights reserved. For Permissions, please email: [email protected] adaptation of literary works into films has been almost completely neglected as a philosophical topic. I discuss two questions about this phenomenon:What do we mean when we say that a film is faithful to its source?Is being faithful to its source a merit in a film adaptation?In response to, I set out two distinct (...) senses of fidelity: story fidelity and thematic fidelity. I then argue, in response to, that thematic fidelity, but not story fidelity, is an aesthetic merit in a film adaptation. The key steps in this argument involve showing that merely preserving the story from one medium to another does not typically involve an aesthetically... (shrink)

Ancient Chinese and Greek thinkers alike were preoccupied with the moral value of music; they distinguished between good and bad music by looking at the music’s effect on moral character. The idea can be understood in terms of two closely related questions. Does music have the power to affect the ethical character of either listener or performer? If it does, is it better as music for doing so? I argue that an affirmative answers to both questions are more plausible than (...) it might seem at first. (shrink)

In recent years it has become more and more difficult to distinguish between metaethical cognitivism and non-cognitivism. For example, proponents of the minimalist theory of truth hold that moral claims need not express beliefs in order to be (minimally) truth-apt, and yet some of these proponents still reject the traditional cognitivist analysis of moral language and thought. Thus, the dispute in metaethics between cognitivists and non-cognitivists has come to be seen as a dispute over the correct way to characterize our (...) psychology: are moral judgments beliefs, or a kind of pro-attitude? In this paper, I argue that this distinction, too, is difficult to maintain in the light of a reasonable skepticism about folk psychology. I conclude by suggesting some new possibilities for the analysis of moral language that look beyond this distinction. I begin by briefly reviewing some contemporary positions in metaethics on cognitivism and non-cognitivism, that are intended to emphasize the supposed psychological differences between the two views. I show that the appearance of a clear difference between these views depends on one's having a very strong commitment to the context-independence and completeness of certain concepts of folk psychology. I then argue for a moderate skepticism about folk psychology. I conclude that folk concepts like ?belief? are not sufficiently well-defined to settle this metaethical dispute. (shrink)

Logicism is, roughly speaking, the doctrine that mathematics is fancy logic. So getting clear about the nature of logic is a necessary step in an assessment of logicism. Logic is the study of logical concepts, how they are expressed in languages, their semantic values, and the relationships between these things and the rest of our concepts, linguistic expressions, and their semantic values. A logical concept is what can be expressed by a logical constant in a language. So the question “What (...) is logic?” drives us to the question “What is a logical constant?” Though what follows contains some argument, limitations of space constrain me in large part to express my Credo on this topic with the broad brush of bold assertion and some promissory gestures. (shrink)

Discourse carries thin commitment to objects of a certain sort iff it says or implies that there are such objects. It carries a thick commitment to such objects iff an account of what determines truth-values for its sentences say or implies that there are such objects. This paper presents two model-theoretic semantics for mathematical discourse, one reflecting thick commitment to mathematical objects, the other reflecting only a thin commitment to them. According to the latter view, for example, the semantic role (...) of number-words is not designation but rather the encoding of cardinality-quantifiers. I also present some reasons for preferring this view. (shrink)

Even if one sees the law as “a self-contained system of legal reasoning” from which we deduce “neutral,” non-political conclusions from “general principles and analogies among cases and doctrines” (including formalist claims that judges simply call “balls and strikes” like umpires in a baseball game), one should still consider certain characteristics of the party making such deductions or calling such “balls and strikes.” [Relevant citations to quoted language are in the Article.] If such decision maker has questionable motivations, lacks proper (...) perspective, does not grasp the flexibility in the concepts in play, does not grasp the restraints on concepts in play, does not follow the proper processes involved, and lacks the detail, courage, and tenacity needed to reach the proper “deduction” or “call,” on the face of things the formalist, too, should have reason to re-examine any “deduction” or “call” by such party. Thus, even the formalist should not deny the critical role of virtue when examining legal analysis, a role belying the notion of law as a "self-contained system of legal reasoning." -/- This Article thus explores basic freedoms and restraints applicable to legal analysis and the role that virtue plays in balancing such freedoms and restraints. Such exploration covers: (i) the origin, nature, and purpose of concepts and categories used in legal analysis; (ii) the experiential nature of the meaning of such concepts and categories used in legal analysis; (iii) the freedoms and restraints applicable to such concepts and categories as a result of either experience or of the concepts or categories themselves; (iv) how workable notions of virtue rightly balance such freedoms and restraints in legal analysis; (v) the distinction between such virtue and skill; (vi) reconceiving the analytically virtuous mean as a proper balance between such applicable freedoms and restraints; and (vii) defining and surveying the particular virtues that lead us to such proper balance and thus to good legal analysis. My hope is that lawyers and law schools in their curricula will follow such explorations as well in a quest to better understand legal analysis and how to teach and perform it well. (shrink)

The topic of this essay is how non-realistic novels challenge our philosophical understanding of the moral significance of literature. I consider just one case: Joseph Heller’s Catch-22. I argue that standard philosophical views, based as they are on realistic models of literature, fail to capture the moral significance of this work. I show that Catch-22 succeeds morally because of the ways it resists using standard realistic techniques, and suggest that philosophical discussion of ethics and literature must be pluralistic if it (...) is to include all morally salient literature, and not just novels in the “Great Tradition” and their ilk. (shrink)

Christopher Columbus Langdell has not only damaged the study of law with his three follies: his legal formalism, his redacted appellate case method, and his notion that legal practice taints the professor of law. His three follies have also impaired character development critical for legal actors. This Article focuses on four such critical character traits and virtues impaired by Langdell: (i) imagination, (ii) empathy, (ii) balance, and (iv) integrity. -/- This Article also calls out potential character issues with two professor (...) types inspired by Langdell: (v) the hazing professor who confuses intellectual rigor with intense discomfort and who uses the redacted appellate case method to inflict such discomfort at the expense of better pedagogy, and (vi) the professor without substantial practice experience who is substantially paid to teach what she has never practiced. -/- Agreeing with C.S. Pierce that the best argument is a cable rather than a chain, I end by weaving in a Langdell villanelle. I hope such a cable can help lift Langdell and his follies from legal education and the world. (shrink)

Contrary to economics or history, for example, there does not exist an organized field dedicated to the philosophy of political science. Given that the philosophical issues raised by political science research are just as pressing and vibrant as those raised in these more organized fields, fostering a field that labels itself Philosophy of Political Science (PoPS) is important. PoPS is advanced here as a fruitful meeting place where both philosophers and practicing political scientists contribute and discuss—with philosophical discussions that are (...) close to and informed by actual developments in political science, making philosophy of science continuous with the sciences in line with contemporary naturalist philosophy of science. The topics scrutinized in the different chapters of the Handbook will figure prominently in PoPS, as we lay out in this chapter. (shrink)

Biomedical science has been remarkably successful in explaining illness by categorizing diseases and then by identifying localizable lesions such as a virus and neoplasm in the body that cause those diseases. Not surprisingly, researchers have aspired to apply this powerful paradigm to addiction. So, for example, in a review of the neuroscience of addiction literature, Hyman and Malenka (2001, p. 695) acknowledge a general consensus among addiction researchers that “[a]ddiction can appropriately be considered as a chronic medical illness.” Like other (...) diseases, “Once addiction has taken hold, it tends to follow a chronic course.” (Koob and La Moal 2006, p. ?). Working from this perspective, much effort has gone into characterizing the symptomology of addiction and the brain changes that underlie them. Evidence for involvement of dopamine transmission changes in the ventral tegmental area (VTA) and nucleus accumbens (NAc) have received the greatest attention. Kauer and Malenka (2007, p. 844) put it well: “drugs of abuse can co-opt synaptic plasticity mechanisms in brain circuits involved in reinforcement and reward processing”. Our goal in this chapter to provide an explicit description of the assumptions of medical models, the different forms they may take, and the challenges they face in providing explanations with solid evidence of addiction. <br>. (shrink)

In this essay I argue that if Kantian and consequentialist ethical theories are vulnerable to the so-called “problem of alienation,” a virtue ethics based on Xunzi’s ethical writings will also be vulnerable to this problem. I outline the problem of alienation, and then show that the role of ritual ( li ) in Xunzi’s theory renders his view susceptible to the problem as it has been traditionally understood. I consider some replies on Xunzi’s behalf, and also discuss whether the problem (...) affects other Confucian and eudaimonian approaches to virtue ethics. I close by considering some solutions to the problem and the affect that this result has on the argumentative dialectic between the three major ethical traditions. (shrink)

I prove that the Boolean Prime Ideal Theorem is equivalent, under some weak set-theoretic assumptions, to what I will call the Cut-for-Formulas to Cut-for-Sets Theorem: for a set F and a binary relation |- on Power(F), if |- is finitary, monotonic, and satisfies cut for formulas, then it also satisfies cut for sets. I deduce the CF/CS Theorem from the Ultrafilter Theorem twice; each proof uses a different order-theoretic variant of the Tukey- Teichmüller Lemma. I then discuss relationships between various (...) cut-conditions in the absence of finitariness or of monotonicity. (shrink)

I explore the claim that “fictive imagining” – imagining what it is like to be a character – can be morally dangerous. In particular, I consider the controversy over William Styron’s imagining the revolutionary protagonist in his Confessions of Nat Turner. I employ Ted Cohen’s model of fictive imagining to argue, following a generally Kantian line of thought, that fictive imagining can be dangerous if one has the wrong motives. After considering several possible motives, I argue that only internally directed (...) motives can satisfy the moral concern. Finally, I suggest that when one has the right motives, fictive imagining is morally praiseworthy since it improves one’s ability to imagine the lives of others. (shrink)

A model-theoretic approach to the semantics of set-theoretic discourse.

Proof uses forcing on perfect trees for 2-quantifier sentences in the language of arithmetic. The result extends to exact pairs for the hyperarithmetic degrees.

Note: This draft was updated on November 10, 2020. Discussing federal statutes, Justice Scalia tells us that “[t]he stark reality is that the only thing that one can say for sure was agreed to by both houses and the president (on signing the bill) is the text of the statute. The rest is legal fiction." How should we take this claim? If we take "text" to mean the printed text, that text without more is just a series of marks. If (...) instead we take "text" (as we must) to refer to something off the page such as the "meaning" of the series of marks at issue, what is that meaning and how do we know that all the legislators "agreed" on that "meaning"? In seeking answers here, we necessarily delve into semiotics (i.e., the “general theory of signs”) by noting that meaningful ink marks ("signifiers) signify a meaning beyond themselves (the "signified.") Thus, understanding how signs function is integral to lawyers' textual and linguistic analysis. Additionally, as this article demonstrates, legal analysis and rhetoric are much impoverished if lawyers ignore nonverbal signs such as icons, indices, and nonverbal symbols. In providing a broad overview of semiotics for lawyers, this article thus (1) begins with a general definition of signs and the related notion of intentionality. It then turns to, among other things, (2) the structure and concomitants of signs in more detail (including the signifier and the signified), (3) the possible correlations of the signifier and the signified that generate signs of interest to lawyers such as the index, the icon, and the symbol; (5) the expansion of legal rhetoric through use of the index, the icon, and the non-verbal as well as the verbal symbol, (6) the nature of various semiotic acts in public and private law (including assertives, commissives, directives, and verdictives); (7) the interpretation and construction of semiotic acts (including contracts as commissives and legislation as directives); (8) the role of speaker or reader meaning in the interpretation and construction of semiotic acts; (9) the semiotics of meaning, time, and the fixation of meaning debate; (10) the impact of signifier drift; (11) the distinction between sense and understanding; and (12) some brief reflections on semiotics and the First Amendment. This article also provides an Appendix of further terms and concepts useful to lawyers in their explorations of semiotics. (shrink)

One important but infrequently discussed difficulty with expressivism is the attitude type individuation problem.1 Expressivist theories purport to provide a unified account of normative states. Judgments of moral goodness, beauty, humor, prudence, and the like, are all explicated in the same way: as expressions of attitudes, what Allan Gibbard calls “states of norm-acceptance”. However, expressivism also needs to explain the difference between these different sorts of attitude. It is possible to judge that a thing is both aesthetically good and morally (...) bad. While the realist can explain the difference by suggesting that each judgment makes reference to a different property (or set of properties), the expressivist cannot. She must show that what is expressed by the speaker is different in each case. This has proven to be difficult to do. (shrink)

31 chapters covering the Old Academy to Late Antiquity. See attached TOC.

Some films scare us; some make us cry; some thrill us. Some of the most interesting films, however, leave us suspended between feelings – both joyous and sad, or angry and serene. This paper attempts to explain how this can happen and why it is important. I look closely at one film that creates and exploits these conflicted responses. I argue that cases of conflict in film illuminate a pair of vexing questions about emotion in film: (1) To what extent (...) are emotional responses rational, or in need of rationalization?; and (2) What relationship is there between emotional response and value (moral, filmic, or otherwise)? Conflict, I argue, can be revealing, and can help us better understand emotional responses to narrative film1 in general. The paper is divided into four sections. First, I sketch a theory of emotional engagement that makes sense of the notion of a “conflicted emotional response” to a film. Second, I turn to a particular case of a film that produces this sort of conflict, Fritz Lang’s M (1931), and show that the conflict engendered by that film is both more significant and less unusual than it may appear. In the final two sections, I argue that there is no need to rationalize or make consistent such mixed emotional responses, and that there is real moral, aesthetic, and cognitive value to be had from such conflict. (shrink)

Langdellian “science” and its “formalism” ignore ways form permits and even creates freedom of choice. For example, as Wordsworth notes, though the weaver is restricted by what his form of loom can weave, the weaver may nonetheless choose what and how he weaves. Furthermore, the loom creates weaving possibilities that do not exist without it. Such freedom alongside form is often lost on lawyers, judges, and teachers trained primarily in Langdellian redacted appellate cases where “facts” and other framed matters often (...) wrongly appear as simply given. Similarly, in the context of their redacted appellate cases, many current students may only see constraint in IRAC (Issue-Rule-Application-Conclusion) and other thought forms rather than the fastidious freedoms such forms both provide and create. -/- Overlooking such freedoms is not only misleading in itself. It also misses the need to study how such freedoms are and should be exercised. When facts are simply presented as “given” and strategic and other choices go unrecorded and unnoticed in redacted appellate opinions, no thorough analysis of these overlooked subjects can occur. This is extremely troubling since such overlooked subjects are at the very heart of the lawyer’s craft. -/- Attempting to remedy such Langdellian shortcomings, this article explores, among other things, five basic levels of thought and the framing choices in such levels of thought: references, issues, rules, application of rules, and conclusions. Though often merely taken as “given” in redacted appellate opinions, a good grasp of reference assures that parties are in fact talking about the same matter or matters (the “reference”). It also increases the likelihood of ascertaining and properly framing all the relevant “facts” in a manner reasonably and ethically consistent with a client’s real interests. Similarly, focusing on flexibility of issue framing both brings necessary focus on what is important in the reference and, to the extent reasonable and ethical, again increases the likelihood of frames most consistent with a client’s real interests. A good grasp of applicable rules and how to frame and apply them on its face increases the likelihood of representing a client well. A good grasp of conclusions and how to frame and hedge them also does the same. -/- Grasping the multilevel complexities in play at these multiple levels pushes us beyond briefing redacted appellate cases to the much more difficult and stimulating work of exploring and teaching good legal thought at all its levels. Legal writing professors are pioneers in this regard and others in the academy can learn much from them. -/- Keywords: RIRAC, IRAC, CREAC, Reference, Issue, Analysis, Rule, Application, Conclusion, Frame, Framing, Metaphor, Concept, Category, Legal Thought, Legal Analysis, Rhetoric, Langdell, Wordsworth, Form, Formalism, Sonnet, Text. (shrink)

Where $\underline{a}$ is a Turing degree and ξ is an ordinal $ , the result of performing ξ jumps on $\underline{a},\underline{a}^{(\xi)}$ , is defined set-theoretically, using Jensen's fine-structure results. This operation appears to be the natural extension through $(\aleph_1)^{L^\underline{a}}$ of the ordinary jump operations. We describe this operation in more degree-theoretic terms, examine how much of it could be defined in degree-theoretic terms and compare it to the single jump operation.

Coincidence comes in two varieties – permanent and temporary. Moderate monism is the position that permanent coincidence, but not temporary coincidence, entails identity. Extreme monism is the position that even temporary coincidence entails identity. Pluralists are opponents of monism tout court. The intuitively obvious, commonsensical position is moderate monism. It is therefore important to see if it can be sustained.

This article briefly addresses the following questions: Why should we study narrative? Does narrative have a basic overarching form or forms? How does framing drive narrative? How do concepts drive narrative? What can we do when we lack the necessary concepts for the narrative we need to tell? Are there basic storylines that repeat? Are there basic character types that we reuse? Can narrative drive the results of a Supreme Court case? Can narrative drive transactional practice? How does narrative's importance (...) underscore the importance of an education in the humanities? (shrink)

The paper discusses the arguments for and against animalism and concludes that a pluralist position which rejects animalism and embraces a multiplicity of thinkers is the best option.