This book contains new essays in honor of Melvin J. Lerner, a pioneer in the psychological study of justice. The contributors to this volume are internationally renowned scholars from psychology, business, and law. They examine the role of justice motivation in a wide variety of contexts, including workplace violence, affirmative action programs, helping or harming innocent victims and how people react to their own fate. Contributors explore fundamental issues such as whether people's interest in justice is motivated by self-interest (...) or a genuine concern for the welfare of others, when and why people feel a need to punish transgressors, how a concern for justice emerges during the development of societies and individuals, and the relation of justice motivation to moral motivation. How an understanding of justice motivation can contribute to the amelioration of major social problems is also examined. (shrink)

_The Undiscovered Dewey_ explores the profound influence of evolution and its corresponding ideas of contingency and uncertainty on John Dewey's philosophy of action, particularly its argument that inquiry proceeds from the uncertainty of human activity. Dewey separated the meaningfulness of inquiry from a larger metaphysical story concerning the certainty of human progress. He then connected this thread to the way in which our reflective capacities aid us in improving our lives. Dewey therefore launched a new understanding of the modern self (...) that encouraged intervention in social and natural environments but which nonetheless demanded courage and humility because of the intimate relationship between action and uncertainty. Melvin L. Rogers explicitly connects Dewey's theory of inquiry to his religious, moral, and political philosophy. He argues that, contrary to common belief, Dewey sought a place for religious commitment within a democratic society sensitive to modern pluralism. Against those who regard Dewey as indifferent to moral conflict, Rogers points to Dewey's appreciation for the incommensurability of our ethical commitments. His deep respect for modern pluralism, argues Rogers, led Dewey to articulate a negotiation between experts and the public so that power did not lapse into domination. Exhibiting an abiding faith in the reflective and contestable character of inquiry, Dewey strongly engaged with the complexity of our religious, moral, and political lives. (shrink)

Strict/tolerant logic, ST, evaluates the premises and the consequences of its consequence relation differently, with the premises held to stricter standards while consequences are treated more tolerantly. More specifically, ST is a three-valued logic with left sides of sequents understood as if in Kleene’s Strong Three Valued Logic, and right sides as if in Priest’s Logic of Paradox. Surprisingly, this hybrid validates the same sequents that classical logic does. A version of this result has been extended to meta, metameta, … (...) consequence levels in Barrio et al.. In my earlier paper Fitting I showed that the original ideas behind ST are, in fact, much more general than first appeared, and an infinite family of many valued logics have Strict/Tolerant counterparts. This family includes both Kleene’s and Priest’s logic individually, as well as first degree entailment. For instance, for both the Kleene and the Priest logic, the corresponding strict/tolerant logic is six-valued, but with differing sets of strictly and tolerantly designated truth values. The present paper extends that generalization in two directions. We examine a reverse notion, of Tolerant/Strict logics, which exist for the same structures that were investigated in Fitting. And we show that the generalization extends through the meta, metameta, … consequence levels for the same infinite family of many valued logics. Finally we close with remarks on the status of cut and related rules, which can actually be rather nuanced. Throughout, the aim is not the philosophical applications of the Strict/Tolerant idea, but the determination of how general a phenomenon it is. (shrink)

A new semantics is presented for the logic of proofs (LP), [1, 2], based on the intuition that it is a logic of explicit knowledge. This semantics is used to give new proofs of several basic results concerning LP. In particular, the realization of S4 into LP is established in a way that carefully examines and explicates the role of the + operator. Finally connections are made with the conventional approach, via soundness and completeness results.

Bilattices, due to M. Ginsberg, are a family of truth value spaces that allow elegantly for missing or conflicting information. The simplest example is Belnap’s four-valued logic, based on classical two-valued logic. Among other examples are those based on finite many-valued logics, and on probabilistic valued logic. A fixed point semantics is developed for logic programming, allowing any bilattice as the space of truth values. The mathematics is little more complex than in the classical two-valued setting, but the result provides (...) a natural semantics for distributed logic programs, including those involving confidence factors. The classical two-valued and the Kripke/Kleene three-valued semantics become special cases, since the logics involved are natural sublogics of Belnap’s logic, the logic given by the simplest bilattice. (shrink)

The roots of religious faith–and the provenance of ethical thought–may be sought in the human sciences, the physical sciences, literature, religious traditions, and deep human intuitions. Gustafson's religious stance and the author's, while different on their face, in common reflect a mingling–and tangling–of skepticism, understanding, and transcendence. Let all of us hope and believe what we can.

This is a thorough treatment of first-order modal logic. The book covers such issues as quantification, equality (including a treatment of Frege's morning star/evening star puzzle), the notion of existence, non-rigid constants and function symbols, predicate abstraction, the distinction between nonexistence and nondesignation, and definite descriptions, borrowing from both Fregean and Russellian paradigms.

Bilattices, introduced by M. Ginsberg, constitute an elegant family of multiple-valued logics. Those meeting certain natural conditions have provided the basis for the semantics of a family of logic programming languages. Now we consider further restrictions on bilattices, to narrow things down to logic programming languages that can, at least in principle, be implemented. Appropriate bilattice background information is presented, so the paper is relatively self-contained.

One approach to the paradoxes of self-referential languages is to allow some sentences to lack a truth value (or to have more than one). Then assigning truth values where possible becomes a fixpoint construction and, following Kripke, this is usually carried out over a partially ordered family of three-valued truth-value assignments. Some years ago Matt Ginsberg introduced the notion of bilattice, with applications to artificial intelligence in mind. Bilattices generalize the structure Kripke used in a very natural way, while making (...) the mathematical machinery simpler and more perspicuous. In addition, work such as that of Yablo fits naturally into the bilattice setting. What I do here is present the general background of bilattices, discuss why they are natural, and show how fixpoint approaches to truth in languages that allow self-reference can be applied. This is not new work, but rather is a summary of research I have done over many years. (shrink)

There is an obvious difference between what a term designates and what it means. At least it is obvious that there is a difference. In some way, meaning determines designation, but is not synonymous with it. After all, “the morning star” and “the evening star” both designate the planet Venus, but don't have the same meaning. Intensional logic attempts to study both designation and meaning and investigate the relationships between them.

A propositional logic of explicit proofs, LP, was introduced in [S. Artemov, Explicit provability and constructive semantics, The Bulletin for Symbolic Logic 7 1–36], completing a project begun long ago by Gödel, [K. Gödel, Vortrag bei Zilsel, translated as Lecture at Zilsel’s in: S. Feferman , Kurt Gödel Collected Works III, 1938, pp. 62–113]. In fact, LP can be looked at in a more general way, as a logic of explicit evidence, and there have been several papers along these lines. (...) A major result about LP is the Realization Theorem, that says any theorem of S4 can be converted into a theorem of LP by some replacement of necessitation symbols with explicit proof terms. Thus the necessitation operator of S4 can be seen as a kind of implicit existential quantifier: there exists a proof term such that…. In this paper, quantification over evidence is introduced into LP, and it is shown that the connection between S4 necessitation and the existential quantifier becomes an explicit one. The extension of LP with quantifiers is called QLP. A semantics and an axiom system for QLP are given, soundness and completeness are established, and several results are proved relating QLP to LP and to S4. (shrink)

Nested sequent systems for modal logics are a relatively recent development, within the general area known as deep reasoning. The idea of deep reasoning is to create systems within which one operates at lower levels in formulas than just those involving the main connective or operator. Prefixed tableaus go back to 1972, and are modal tableau systems with extra machinery to represent accessibility in a purely syntactic way. We show that modal nested sequents and prefixed modal tableaus are notational variants (...) of each other, roughly in the same way that tableaus and Gentzen sequent calculi are notational variants. This immediately gives rise to new modal nested sequent systems which may be of independent interest. We discuss some of these, including those for some justification logics that include standard modal operators. (shrink)

Contrary to the received understanding that Francisco de Vitoria and Francisco Suárez ruled out religious war by grounding just cause in natural law, they supported a robust view of papal authority for war when necessary for the defense of the church against heretics, schismatics, and pagans as well as for the spread of Christianity and Christendom throughout the world. They believed that religious wars were in accord with natural law as a means to its fulfillment in Christianity, as a justification (...) for the defense of the church as the one true faith, and as a moral obligation to provide all of humanity with the opportunity to receive Christian truth and grace. The neo‐Thomists' vigorous support for religious war was in the mainstream of the Christian just war tradition from the time of the wars against pagans in the early middle ages through their own time. This finding and the continuation into the modern era of sanctified patriotism stemming from the mixing of church and state especially during war that began in early Middle Ages, along with the historic roots of the recently prominent presumption against war, argue for a more complex understanding of the normative Christian just war tradition than that found among supporters of the classic interpretation of that tradition. (shrink)

The purpose of this essay is to both discuss commands as a species of speech act and to discuss commands within the broader framework of how they are used and ...

First - order modal logic is very much under current development, with many different semantics proposed. The use of rigid objects goes back to Saul Kripke. More recently, several semantics based on counterparts have been examined, in a development that goes back to David Lewis. There is yet another line of research, using intensional objects, that traces back to Richard Montague. I have been involved with this line of development for some time. In the present paper, I briefly sketch several (...) of the approaches to first - order modal logic. Then I present one that I call FOIL in the Montague tradition that, I believe, is both expressive and natural. I briefly discuss in what sense it can be made to encompass the other approaches. Finally, I provide tableau rules to go with the FOIL semantics. (shrink)

How might we philosophize about the metaverse? It is traditionally held that the four main branches of philosophy are metaphysics, epistemology, axiology, and logic. In this article, I shall demonstrate how virtual walt-fictionalism, a particular version of virtual irrealism, is able to offer a straightforward, internally consistent, and powerful response about the metaphysics, epistemology, and axiology (ethics) of the metaverse. I will first characterize the metaverse in terms of a reality-virtuality (RV) continuum and distinguish between virtual realism and virtual irrealism, (...) before elaborating on the explanatory power and potential of virtual walt-fictionalism relative to the metaphysics, epistemology, and axiology (ethics) of the metaverse. (shrink)

We wish here to consider the theory of a population or system made up of individuals whose number and size change with time. As usual, the description of these changes will be referred to as the kinetics, whereas the description of the special circumstances under which unchanging conditions subsist will be called the statics of the population. A third category, the conditions for a steady state, i.e., when the variables inside the system do not change, but linked variables outside do, (...) will be described by what we shall call the rheostatics of the system. All three, statics, rheostatics, and kinetics are subdivisions of the general dynamics of the system. (shrink)

While Kripke's original paper on the theory of truth used a three-valued logic, we believe a four-valued version is more natural. Its use allows for possible inconsistencies in information about the world, yet contains Kripke's development within it. Moreover, using a four-valued logic makes it possible to work with complete lattices rather than complete semi-lattices, and thus the mathematics is somewhat simplified. But more strikingly, the four-valued version has a wide, natural generalization to the family of interlaced bilattices. Thus, with (...) little more work, the theory is extended to a broad class of settings. Indeed, a result like Theorem 6.2 would not even be possible to state without the interlaced bilattice machinery. We hope the notion of interlaced bilattice will make apparent further such connections. (shrink)

The new economy is characterized in the developing world by open capital markets and coordinated international regulation - neither of which existed in the colonial period.

Many principles of eukaryotic DNA replication and its relationship to transcription have been revealed by studying the replication of animal virus chromosomes. Now microinjection of viral DNA into eggs and embryos is providing clues about regulation of chromosomal replication and transcription during early mammalian development.

“The primary purpose of this book has been to provide a single source of containing the basic information about systematic and theoretical psychology which any student of psychology should have. It is mainly directed at the senior undergraduate major and the beginning of the graduate student.”-Publisher.

A well-known problem with Hintikka-style logics of knowledge is that of logical omniscience. One knows too much. This breaks down into two subproblems: one knows all tautologies, and one’s knowledge is closed under consequence. A way of addressing the second of these is to move from knowledge simpliciter, to knowledge for a reason. Then, as consequences become ‘further away’ from one’s basic knowledge, reasons for them become more complex, thus providing a kind of resource measurement. One kind of reason is (...) a formal proof. Sergei Artemov has introduced a logic of explicit proofs, LP. I present a semantics for this, based on the idea that it is a logic of knowledge with explicit reasons. A number of fundamental facts about LP can be established using this semantics. But it is equally important to realize that it provides a natural logic of more general applicability than its original provenance, arithmetic provability. (shrink)

This essay demonstrates that the management and contestability of power is central to Dewey's understanding of democracy and provides a middle ground between two opposite poles within democratic theory: Either the masses become the genuine danger to democratic governance (à la Lippmann) or elites are described as bent on controlling the masses (à la Wolin). Yet, the answer to managing the relationship between them and the demos is never forthcoming. I argue that Dewey's response to Lippmann for how we ought (...) to conceive of the relationship between citizens and elites if power is not to become arbitrary is located within a larger framework that avoids the problematic distinction Wolin draws between the demos and representative government. For Dewey, the legitimacy of decision-making, and, indeed, the security of freedom, is determined not merely by our actual involvement, but the extent to which non-participation does not preclude the future contestability of power. (shrink)

"This book offers a prophetic vision of art in a digital future.

Could translation be fully automated? We must first acknowledge the complexity, ambiguity, and diversity of natural languages. These aspects of natural languages, when combined with a particular dilemma known as the computational dilemma, appear to imply that the machine translator faces certain obstacles that a human translator has already managed to overcome. At the same time, science has not yet solved the problem of how human brains process natural languages and how human beings come to acquire natural language understanding. We (...) will then distinguish between the task of translation and the responsibility of the translator. Thereafter, we will conduct a survey of the methods of machine translation (viz. RBMT, SMT, NMT, foundation models or large language models). These methods will then be critically evaluated both in general and relative to Bar-Hillel’s hypothesis about the impossibility of fully automatic, high-quality machine translation (Fahqmt). Some concluding remarks will be made about the scope, prospects, and limits of machine translation. (shrink)