In this revised edition, two distinguished philosophers have extended and strengthened the most authoritative text available on the philosophy of law and jurisprudence. While retaining their comprehensive coverage of classical and modern theory, Murphy and Coleman have added new discussions of the Critical Legal Studies movement and feminist jurisprudence, and they have strengthened their treatment of natural law theory, criminalization, and the law of torts. The chapter on law and economics remains the best short introduction to that difficult, controversial, and (...) influential topic.Students will appreciate the careful organization and clear presentation of complicated issues as well as the emphasis on the relevance of both law and legal theory to contemporary society. (shrink)

We show that a statement HIL, which is motivated by a lemma of Hilbert and close in formulation to Hindman’s theorem, is actually much weaker than Hindman’s theorem. In particular, HIL is finitistically reducible in the sense of Hilbert’s program, while Hindman’s theorem is not.

One of the earliest applications of Cantor's Normal Form Theorem is Jacobstahl's proof of the existence of prime factorizations of ordinals. Applying the techniques of reverse mathematics, we show that the full strength of the Normal Form Theorem is used in this proof.

In the case of an actual proper name such as ‘Aristotle’ opinions as to the Sinn may differ. It might, for instance, be taken to be the following: the pupil of Plato and teacher of Alexander the Great. Anybody who does this will attach another Sinn to the sentence ‘Aristotle was born in Stagira’ than will a man who takes as the Sinn of the name: the teacher of Alexander the Great who was born in Stagira. So long as the (...) Bedeutung remains the same, such variations of Sinn may be tolerated, although they are to be avoided.. (shrink)

Cappelen and Dever challenge the widely accepted idea that some key aspect of intentional action is essentially indexical. They argue that the classical arguments for this coming from Perry are in fact arguments for a different phenomenon: the opacity of explanatory contexts. I agree with Cappelen and Dever that what Perry says about the ineliminability of indexical terms from explanations of intentional action fails to amount to an argument for this indexicality being essential. But this should not lead us to (...) be sceptics. In this paper, I present a different argument for the essential indexicality of intentional actions. The key premise of this argument is that intentions themselves are essentially indexical. I provide evidence for this premise and defend it against potential criticism. I also show how the essential indexicality of intentions can be used to vindicate Perry's original claims about the essential indexicality of certain beliefs and desires. (shrink)

Introduction. Murder, some may suggest, is to be defined as the intentional and uncoerced killing of the innocent; and it is true by definition that murder is wrong. Yet wars, particularly modern wars, seem to require the killing of the innocent, e.g. through anti-morale terror bombing. Therefore war must be wrong.

This book focuses on the degree to which certain moral and legal doctrines are rooted in specific passions that are then institutionalised in the form of criminal law. A philosophical analysis is developed of the following questions: when, if ever, should hatred be overcome by sympathy or compassion? What are forgiveness and mercy and to what degree do they require - both conceptually and morally - the overcoming of certain passions and the motivation by other passions? If forgiveness and mercy (...) indeed are moral virtues, what role, if any, should they play in the law? (shrink)

Simpson has claimed that “ATR0 is the weakest set of axioms which permits the development of a decent theory of countable ordinals” [8]. This paper provides empirical support for Simpson's claim. In particular, Cantor's Normal Form Theorem and Sherman's Inequality for countable well-orderings are both equivalent to ATR0. The proofs of these results require a substantial development of ordinal exponentiation and a strengthening of the comparability result in [3].

We have all been victims of wrongdoing. Forgiving that wrongdoing is one of the staples of current pop psychology dogma; it is seen as a universal prescription for moral and mental health in the self-help and recovery section of bookstores. At the same time, personal vindictiveness as a rule is seen as irrational and immoral. In many ways, our thinking on these issues is deeply inconsistent; we value forgiveness yet at the same time now use victim-impact statements to argue for (...) harsher penalties for criminals. Do we have a right to hate others for what they have done to us? Providing a nuanced approach to a proper understanding of the place of our strongest emotions in moral, political, and personal life, and using lucid, easily understood prose, this volume is a classic example of philosophical thinking applied to a thorny, everyday problem. (shrink)

Based on a series of lectures delivered at the University of Virginia in October 1981. Includes bibliographical references and index.

Natural deduction is the type of logic most familiar to current philosophers, and indeed is all that many modern philosophers know about logic. Yet natural deduction is a fairly recent innovation in logic, dating from Gentzen and Jaśkowski in 1934. This article traces the development of natural deduction from the view that these founders embraced to the widespread acceptance of the method in the 1960s. I focus especially on the different choices made by writers of elementary textbooks—the standard conduits of (...) the method to a generation of philosophers—with an eye to determining what the ‘essential characteristics’ of natural deduction are. (shrink)

We show that when certain statements are provable in subsystems of constructive analysis using intuitionistic predicate calculus, related sequential statements are provable in weak classical subsystems. In particular, if a $\Pi^1_2$ sentence of a certain form is provable using E-HA ${}^\omega$ along with the axiom of choice and an independence of premise principle, the sequential form of the statement is provable in the classical system RCA. We obtain this and similar results using applications of modified realizability and the Dialectica interpretation. (...) These results allow us to use techniques of classical reverse mathematics to demonstrate the unprovability of several mathematical principles in subsystems of constructive analysis. (shrink)

In an interesting experimental study, Bonini et al. (1999) present partial support for truth-gap theories of vagueness. We say this despite their claim to find theoretical and empirical reasons to dismiss gap theories and despite the fact that they favor an alternative, epistemic account, which they call ‘vagueness as ignorance’. We present yet more experimental evidence that supports gap theories, and argue for a semantic/pragmatic alternative that unifies the gappy supervaluationary approach together with its glutty relative, the subvaluationary approach.

Scientists employ a variety of procedures to eliminate degrees of freedom from computationally and/or analytically intractable equations. In the process, they often construct new models and discover new concepts, laws and functional relations. I argue these procedures embody a central notion of reduction, namely, the containment of one structure within another. However, their inclusion in the philosophical concept of reduction necessitates a reevaluation of many standard assumptions about the ontological, epistemological and functional features of a reduction. On the basis of (...) the reevaluation, I advocate a continuum of reduction which proceeds from the eliminative to the constructive. The metaphysical aspects of theory use in constructive reductions are sketched. (shrink)

Chemists take mechanisms to be an important way of explaining chemical change. I examine the usefulness of the mechanism approach in the recent philosophical literature in explicating the explanatory use of mechanisms by organic chemists. I argue that chemists consider a mechanism to be explanatory because it accounts for the “dynamic process of bringing about” (Tabery 2004 , 10) chemical change. For chemists, mechanisms are causal explanations based on interventions that show “how some possibilities depend on others” (Woodward 2003 , (...) 375). Only possibilities are achievable because chemists face a number of challenges when they explain by means of a mechanism. †To contact the author, please write to: Department of Philosophy, Smith College, Northampton, MA 01063; e‐mail: [email protected]. (shrink)

We show that \\) cannot be proved with one typical application of \\) in an intuitionistic extension of \ to higher types, but that this does not remain true when the law of the excluded middle is added. The argument uses Kohlenbach’s axiomatization of higher order reverse mathematics, results related to modified reducibility, and a formalization of Weihrauch reducibility.

By stressing the act rather than the relation of approximation, I argue that the magnitude of the error introduced should not be used as the sole criterion for judging the worth of the approximation. Magnitude is a necessary but not sufficient condition for such a judgement. Controllability, the absence of cancelling errors, and the approximation's justification are also important criteria to consider when praising or blaming an approximation. Boltzmann's discussion of the types of approximations used in the kinetic theory of (...) gases at the turn of the century illustrates the use of these criteria. (shrink)

Prediction is more than testing established theory by examining whether the prediction matches the data. To show this, I examine the practices of a community of scientists, known as threaders, who are attempting to predict the final, folded structure of a protein from its primary structure, i.e., its amino acid sequence. These scientists employ a careful and deliberate methodology of prediction. A key feature of the methodology is calibration. They calibrate in order to construct better models. The construction leads to (...) knowledge of how to construct or build an object. Thus, prediction serves a cognitive goal of model construction and not just model or theory testing. The kind of knowledge that results is relevantly different than theoretical knowledge. (shrink)

Philosophers disagree how abstract, theoretical principles can be applied to instances. This paper generates a puzzle for law theorists, causal theorists and inductivists alike. Intractability can force scientists to use a "semi-empirical" method, in which some of an equation's theoretically-determinable parameters are replaced with values taken directly from the data. This is not a purely deductive or inductive process, nor does it involve causes and capacities in any simple way (Humphreys 1995). I argue the predictive successes of such methods require (...) us to reanalyze our views about the nature of prediction, the status of models, and the goal(s) of science. When laws and experimental evidence are neither individually nor jointly sufficient for prediction, models become the locus of understanding. I analyze an historically important debate about the use of semi-empirical methods to construct potential energy surfaces. (shrink)

For over forty years, Leland Ryken has championed and modeled a Christian liberal arts education. His scholarship and commitment to integrating faith with learning in the classroom have influenced thousands of students who have sat under his winsome teaching. Published in honor of Professor Ryken and presented on the occasion of his retirement from Wheaton College, this compilation carries on his legacy of applying a Christian liberal arts education to all areas of life. Five sections explore the background of a (...) Christian liberal arts education, its theological basis, habits and virtues, differing approaches, and ultimate aims. Contributors including Philip Ryken, Jeffry Davis, Duane Litfin, John Walford, Alan Jacobs, and Jim Wilhoit analyze liberal arts as they relate to the disciplines, the Christian faith, and the world. Also included are a transcript of a well-known 1984 chapel talk delivered by Leland Ryken on the student's calling and practical chapters on how to read, write, and speak well. Comprehensive in scope, this substantial volume will be a helpful guide to anyone involved in higher education, as well as to students, pastors, and leaders looking for resources on the importance of faith in learning. - Publisher. (shrink)

The conceptual framework of an Interdisciplinary Studies (IDS) program shapes the quality, variety, and results of intellectual inquiry. While there are many viable paradigms for IDS programs, a liberal arts framework particularly enhances interdisciplinary inquiry. Specifically, a liberal arts approach emphasizes integrative thinking, conceptual synthesis, character formation, and coherence across bodies of knowledge. In harmony with the liberal arts, an IDS program equips students to productively wrestle with the inevitable dysfunction and complexity of this world. By situating the task of (...) inquiry among multiple disciplines, interdisciplinarians cultivate ethical-moral discernment alongside fluency in differing modes of academic analysis. Additionally, when oriented towards the liberal arts, an IDS program counters the false pragmatism of careerism and specialization by producing creative critical thinkers who can thrive in a variety of fields. Contextualizing interdisciplinary studies within a liberal arts schema provides students with rich opportunities to unite the mind, the passions, and the will for greater flourishing. (shrink)

The authors present a balanced critique of the adaptation/exaptation debate and specify some of the hard evidentiary criteria that are needed to advance our understanding of human evolution. Investigators must build more “special design” criteria into their theorizing and research. By documenting that certain traits meet these rigorous criteria, the evolutionary sciences will ultimately rest on a firmer theoretical foundation.