We explore Shelah's model‐theoretic dividing line methodology. In particular, we discuss how problems in model theory motivated new techniques in model theory, for example classifying theories by their potential (consistently with Zermelo–Fraenkel set theory with the axiom of choice (ZFC)) spectrum of cardinals in which there is a universal model. Two other examples are the study (with Malliaris) of the Keisler order leading to a new ZFC result on cardinal invariants and attempts to clarify the “main gap” by reducing the (...) dependence of certain versions on (highly independent) cardinal arithmetic. (shrink)

Major shifts in the field of model theory in the twentieth century have seen the development of new tools, methods, and motivations for mathematicians and philosophers. In this book, John T. Baldwin places the revolution in its historical context from the ancient Greeks to the last century, argues for local rather than global foundations for mathematics, and provides philosophical viewpoints on the importance of modern model theory for both understanding and undertaking mathematical practice. The volume also addresses the impact (...) of model theory on contemporary algebraic geometry, number theory, combinatorics, and differential equations. This comprehensive and detailed book will interest logicians and mathematicians as well as those working on the history and philosophy of mathematics. (shrink)

Thesis: The exclusion of organized labor/management issues from the principal arenas for business ethics study and discussions needs to be remedied. The paper develops this thesis in three steps: 1) Exclusion: A careful examination of select textbooks, journals, and conferences provides evidence as to the virtual absence of unions and such crucial organized labor/management issues as labor organizing and collective bargaining; 2) Inclusion: A series of brief arguments favoring inclusion of these issues in business ethics based on the notion of (...) privileged institutions, adversarial posturing, the societal benefits, and globalization; 3) Suggestions: Some practical, cooperative initiatives involving the academy, management and labor, such as, labor officials as guest speakers and members of business school committees, internships in labor organizations, training workshops in business ethics for labor leaders, fora for joint management/labor discussions of issues each group faces in the economy and the legislatures. (shrink)

CHAPTER 1 Combinatorial Geometries and Infinitary Logics In this chapter we introduce two of the key concepts that are used throughout the text. ...

This essay investigates the tensions between traditional music and its modern codification as intellectual property. It will begin by considering the myths concerning the divine source of music. In traditional music and in folk music, music is closely connected to religious ritual. In these rituals the source of the music is recognized and attributed to certain deities. For instance, in Thai traditional music, the Wai Khru ceremony venerates the Duriyathep or devatas drawn from Indian mythology: Phra Visawakarm, Phra Panjasinghkorn, and (...) Phra Parakhonthap (Narot). Much of modern and contemporary music has long been disengaged from ritual and its traditional forms of transmission. Especially since the nineteenth century with the growth of popularity of music printing, it has been subject to copyright law. With these restrictions in transmission, the more fluid routes of transmission have become broken and the ritualistic and religious identifications have been transferred to the cult of performers, to legal codification, to the control of corporations, and the construction of new mythologies through marketing. This essay will use Walter Benjamin’s reflections on the loss of “aura” in the reproduced work of art to try to understand the consequences of this transition in the function of music. And it will consider the situation in Thailand where traditional music and mythology stands side by side with marketed music, and traditional performance stands side by side with commercial performance. It will demonstrate that these conflicts cannot be resolved. But it is precisely in the appreciation and preservation of these conflicts, that traditional culture can itself be recognized and preserved. (shrink)

This essay, which was originally presented at the first Coloquio Internacional at the Guadalajara Campus of the Universidad Panamericana, Mexico, October 8-10, is a short introduction to Newman’s writings in six areas—autobiography, philosophy, theology, literature, education and spirituality—along with some suggestions for additional reading, particularly for those beginning Newman studies.

Newman was a prolific writer, but one who usually wrote on “call”; sometimes these calls were unexpected, but at other times they were a pastoral responsibility. Such was the case with his sermons, which exhibit four characteristics: biblically based, theologically grounded, circumstantially relevant, and spiritually insightful. As such, his sermons still appeal to readers today.

We study when classes can have the disjoint amalgamation property for a proper initial segment of cardinals. Theorem A For every natural number k, there is a class $K_k $ defined by a sentence in $L_{\omega 1.\omega } $ that has no models of cardinality greater than $ \supset _{k - 1} $ , but $K_k $ has the disjoint amalgamation property on models of cardinality less than or equal to $\mathfrak{N}_{k - 3} $ and has models of cardinality $\mathfrak{N}_{k (...) - 1} $ . More strongly, we can have disjoint amalgamation up to $\mathfrak{N}_\alpha $ for α > ω, but have a bound on size of models. Theorem B For every countable ordinal a, there is a class $K_\alpha $ defined by a sentence in $L_{\omega 1.\omega } $ that has no models of cardinality greater than $ \supset _{\omega 1} $ , but K does have the disjoint amalgamation property on models of cardinality less than or equal to $\mathfrak{N}_\alpha $ . Finally we show that we can extend the $\mathfrak{N}_\alpha $ to $ \supset _\alpha $ in the second theorem consistently with ZFC and while having $\mathfrak{N}_i \ll \supset _i $ for 0 > i < α. Similar results hold for arbitrary ordinals α with |α|= K and $L_{k + ,\omega } $. (shrink)

We show that K-generic projective planes have Morley rank either two or infinity. We also show give a direct argument that such planes are not Desarguesian.

This collection addresses the central issue of political philosophy or, in a couple of cases, issues very close to the heart of that question: Is government justified? This ancient question has never been more alive than at the present time, in the midst of continuing political and social upheaval in virtually every part of the world. Only two of the pieces collected here have been published previously. All the other contributions were, at the time of the inception of the volume, (...) fresh from the pens, or still to emerge from the pens, of their authors. (shrink)

A new ethics of human finitude developed through three experimental essays. As ethical beings, we strive for lives that are meaningful and praiseworthy. But we are finite. We do not know, so we hope. We need, so we trust. We err, so we forgive. In this book, philosopher John T. Lysaker draws our attention to the ways in which these three capacities—hope, trust, and forgiveness—contend with human limits. Each experience is vital to human flourishing, yet each also poses significant (...) personal and institutional challenges as well as opportunities for growth. Hope, Trust, and Forgiveness explores these challenges and opportunities and proposes ways to best meet them. In so doing, Lysaker experiments with the essay as a form and advances an improvisational perfectionism to deepen and expand our ethical horizons. (shrink)

Since the mid‐1950s, the various research programs within cognitive science have advanced our basic understanding of human mental function. Over the past 20 years, this basic science of mind has also contributed to the genesis of an applied science of learning and teaching that can powerfully inform educational practice and dramatically improve educational outcomes. Classroom practice based on this applied science differs from traditional instruction in several ways. Instruction based on cognitive theory envisions learning as an active, strategic process. It (...) assumes that learning follows developmental trajectories within subject‐matter domains. It recognizes that learning is guided by the learners' introspective awareness and control of their mental processes. It emphasizes that learning is facilitated by social, collaborative settings that value self‐directed student dialogue. (shrink)

What Aphorism Does Nietzsche Explicate in Genealogy of Morals, Essay III ? JOHN T. WILCOX A picture held us captive. Wittgenstein ~ AS EVERYONE KNOWS, the dominant opinion is not always correct. Current scholarship, in all likelihood, makes assumptions which have not yet been questioned; and probably some of them will be seen to be false, once they have been examined. I will argue here that there is a dominant but erroneous assumption concerning the Third Essay in Nietzsche's On (...) the Genealogy of Morals. It will be obvious that correcting this error has some serious implica- tions for almost all current interpretations of the essay. After acknowledging, at the end of his Preface to the Genealogy, that some might find his new book "incomprehensible," Nietzsche warns that "the fault.., is not necessarily mine." He assumes, he says, that readers have already worked hard at his earlier writings, themselves "not easy to pene- trate," and have been "wounded" and "delighted" by his Zarathustra. Then he begins one of several passages we must examine carefully: In other cases, people have difficulty with the aphoristic form: this arises from the fact that today this form is not taken seriously enough. An aphorism, properly stamped and molded, has not been "deciphered" when it has simply been read; rather, one has then to begin its exegesis, for which is required an art of exegesis. I have offered in the third essay of the present book an example of what I.. (shrink)

Subcreative sets, introduced by Blum, are known to coincide with the effectively speedable sets. Subcreative sets are shown to be the complete sets with respect to S-reducibility, a special case of Turing reducibility. Thus a set is effectively speedable exactly when it contains the solution to the halting problem in an easily decodable form. Several characterizations of subcreative sets are given, including the solution of an open problem of Blum, and are used to locate the subcreative sets with respect to (...) the complete sets of other reducibilities. It is shown that q-cylindrification is an order-preserving map from the r.e. T-degrees to the r.e. S-degrees. Consequently, T-complete sets are precisely the r.e. sets whose q-cylindrifications are S-complete. (shrink)

The article covers electronic informed consent from different dimensions so that practitioners might understand the history, regulation, and current status of eIC. It covers the transition of informed consent to electronic screens and the implications of that transition in terms of design, costs, and data analysis. The article explores the limits of regulation mandating eIC for mobile application research, and addresses some of the broader social context around eIC.

This paper uses the resources of illocutionary logic to provide a new understanding of the Liar Paradox. In the system of illocutionary logic of the paper, denials are irreducible counterparts of assertions; denial does not in every case amount to the same as the assertion of the negation of the statement that is denied. Both a Liar statement, (a) Statement (a) is not true, and the statement which it negates can correctly be denied; neither can correctly be asserted. A Liar (...) statement, more precisely, an attempted Liar statement, fails to fulfill conditions essential to statements, but no linguistic rules are violated by the attempt. Ordinary language, our ordinary practice of using language, is not inconsistent or incoherent because of the Liar. We are committed to deny Liars, but not to accept or assert them. This understanding of the Liar Paradox and its sources cannot be fully accommodated in a conventional logical system, which fails to mark the distinction between sentences/statements and illocutionary acts of accepting, rejecting, and supposing statements. (shrink)

Both physicists and philosophers claim that quantum mechanics reduces to classical mechanics as 0, that classical mechanics is a limiting case of quantum mechanics. If so, several formal and non-formal conditions must be satisfied. These conditions are satisfied in a reduction using the Wigner transformation to map quantum mechanics onto the classical phase plane. This reduction does not, however, assist in providing an adequate metaphysical interpretation of quantum theory.

Rousseau's God offers a comprehensive interpretation of Rousseau's theological and religious writings, both in themselves and in relation to his philosophy of the natural goodness of man. John T. Scott argues that there is a complicated relationship between Rousseau's philosophy, on the one hand, and his theological and religious thought. This relationship revolves around two oppositions: first, between the attributes and psychological needs of natural man and social or moral man; second, between the criteria of truth and utility for (...) evaluating theological and religious doctrines. In short, because the justification of nature through the natural goodness of man does not suffice for developed humans, Rousseau offers theological and religious doctrines which are less true than useful, psychologically, morally, or politically. (shrink)

The first major collection of Boyle’s writings to be published since Thomas Birch’s eighteenth-century edition of his works presents material hitherto available only in the archives of the Royal Society. This edition of Boyle’s _Aretology _ and other moral essays from the late 1640s offers the intellectual and religious origins of Boyle’s most vital themes. John T. Harwood also includes two essays on moral topics, "Of Sin" and "Of Piety"; a sample of Boyle’s private meditations, "Joseph’s Mistress"; a short (...) essay, "Of Time and Idleness"; and two guides to private meditation, "The Dayly Reflection" and "Of Thoughts." Harwood concludes the volume with a previously unpublished account of about seven hundred books in Boyle’s library at the time of his death. (shrink)

This book shows how Plato's "Statesman" and Thucydides' presentation of the moral collapse in Athenian political discourse reveal many points of agreement between Plato and Thucydides. Discussions of other dialogues including "Meno," "Laches," "Charmides," "Symposium," "Phaedo," "Sophist," and "Laws" confirm this agreement. Please see thucydides(dot)org for some editorial errata and corrections. The book was released in paperback in December 2021.

We describe techniques for constructing models of size continuum inωsteps by simultaneously building a perfect set of enmeshed countable Henkin sets. Such models have perfect, asymptotically similar subsets. We survey applications involving Borel models, atomic models, two-cardinal transfers and models respecting various closure relations.

György Lukacs was a Hungarian Marxist philosopher, writer, and literary critic who shaped mainstream European Communist thought. _Soul and Form_ was his first book, published in 1910, and it established his reputation, treating questions of linguistic expressivity and literary style in the works of Plato, Kierkegaard, Novalis, Sterne, and others. By isolating the formal techniques these thinkers developed, Lukács laid the groundwork for his later work in Marxist aesthetics, a field that introduced the historical and political implications of text. For (...) this centennial edition, John T. Sanders and Katie Terezakis add a dialogue entitled "On Poverty of Spirit," which Lukács wrote at the time of _Soul and Form_, and an introduction by Judith Butler, which compares Lukács's key claims to his later work and subsequent movements in literary theory and criticism. In an afterword, Terezakis continues to trace the Lukácsian system within his writing and other fields. These essays explore problems of alienation and isolation and the curative quality of aesthetic form, which communicates both individuality and a shared human condition. They investigate the elements that give rise to form, the history that form implies, and the historicity that form embodies. Taken together, they showcase the breakdown, in modern times, of an objective aesthetics, and the rise of a new art born from lived experience. (shrink)

Where do we find ourselves? -- Not with syllables but men -- Essaying America -- Living multiplicity: a matter of course -- Emerson, race, and the conduct of life -- Reforming ethical life -- Emerson and the case of philosophy -- Abbreviations for Emerson's works.