We show that the analysis of Keisler’s order can be localized to the study of φ-types. Specifically, if is a regular ultrafilter on λ such that and M is a model whose theory is countable, then is λ+-saturated iff it realizes all φ-types of size λ.

Let T 1 , T 2 be countable first-order theories, M i ⊨ T i , and ������ any regular ultrafilter on λ ≥ $\aleph_{0}$ . A longstanding open problem of Keisler asks when T 2 is more complex than T 1 , as measured by the fact that for any such λ, ������, if the ultrapower (M 2 ) λ /������ realizes all types over sets of size ≤ λ, then so must the ultrapower (M 1 ) λ /������. (...) In this paper, building on the author's prior work [12] [13] [14], we show that the relative complexity of first-order theories in Keisler's sense is reflected in the relative graph-theoretic complexity of sequences of hypergraphs associated to formulas of the theory. After reviewing prior work on Keisler's order, we present the new construction in the context of ultrapowers, give various applications to the open question of the unstable classification, and investigate the interaction between theories and regularizing sets. We show that there is a minimum unstable theory, a minimum TP 2 theory, and that maximality is implied by the density of certain graph edges (between components arising from Szemerédi-regular decompositions) remaining bounded away from 0, 1. We also introduce and discuss flexible ultrafilters, a relevant class of regular ultrafilters which reflect the sensitivity of certain unstable (non low) theories to the sizes of regularizing sets, and prove that any ultrafilter which saturates the minimal TP 2 theory is flexible. (shrink)

For a first-order formula φ(x; y) we introduce and study the characteristic sequence ⟨P n : n < ω⟩ of hypergraphs defined by P n (y₁…., y n ):= $(\exists x)\bigwedge _{i\leq n}\varphi (x;y_{i})$ . We show that combinatorial and classification theoretic properties of the characteristic sequence reflect classification theoretic properties of φ and vice versa. The main results are a characterization of NIP and of simplicity in terms of persistence of configurations in the characteristic sequence. Specifically, we show that (...) some tree properties are detected by the presence of certain combinatorial configurations in the characteristic sequence while other properties such as instability and the independence property manifest themselves in the persistence of complicated configurations under localization. (shrink)

The characteristic sequence of hypergraphs Pn:n<ω associated to a formula φ, introduced in Malliaris [5], is defined by Pn=i≤nφ. We continue the study of characteristic sequences, showing that graph-theoretic techniques, notably Szemerédi’s celebrated regularity lemma, can be naturally applied to the study of model-theoretic complexity via the characteristic sequence. Specifically, we relate classification-theoretic properties of φ and of the Pn to density between components in Szemerédi-regular decompositions of graphs in the characteristic sequence. In addition, we use Szemerédi regularity to (...) calibrate model-theoretic notions of independence by describing the depth of independence of a constellation of sets and showing that certain failures of depth imply Shelah’s strong order property SOP3; this sheds light on the interplay of independence and order in unstable theories. (shrink)

We consider the question, of longstanding interest, of realizing types in regular ultrapowers. In particular, this is a question about the interaction of ultrafilters and theories, which is both coarse and subtle. By our prior work it suffices to consider types given by instances of a single formula. In this article, we analyze a class of formulas φ whose associated characteristic sequence of hypergraphs can be seen as describing realization of first- and second-order types in ultrapowers on one hand, and (...) properties of the corresponding ultrafilters on the other. These formulas act, via the characteristic sequence, as points of contact with the ultrafilter D, in the sense that they translate structural properties of ultrafilters into model-theoretically meaningful properties and vice versa. Such formulas characterize saturation for various key theories , yet their scope in Keisler’s order does not extend beyond Tfeq. The proof applies Shelah’s classification of second-order quantifiers. (shrink)

This is a short expository account of the regularity lemma for stable graphs proved by the authors, with some comments on the model theoretic context, written for a general logical audience.

This study described the relationships between academic class and student moral sensitivity and reasoning and between curriculum design components for ethics education and student moral sensitivity and reasoning. The data were collected from freshman (n = 506) and senior students (n = 440) in eight baccalaureate nursing programs in South Korea by survey; the survey consisted of the Korean Moral Sensitivity Questionnaire and the Korean Defining Issues Test. The results showed that moral sensitivity scores in patient-oriented care and conflict were (...) higher in senior students than in freshman students. Furthermore, more hours of ethics content were associated with higher principled thinking scores of senior students. Nursing education in South Korea may have an impact on developing student moral sensitivity. Planned ethics content in nursing curricula is necessary to improve moral sensitivity and moral reasoning of students. (shrink)

In The Global Financial Crisis, contributors argue that the complexity of the Global Financial Crisis challenges researchers to offer more comprehensive explanations by extending the scope and range of their traditional investigations.

There is a Turing functional $\Phi $ taking $A^\prime $ to a theory $T_A$ whose complexity is exactly that of the jump of A, and which has the property that $A \leq _T B$ if and only if $T_A \trianglelefteq T_B$ in Keisler’s order. In fact, by more elaborate means and related theories, we may keep the complexity at the level of A without using the jump.

Ibn al-ʻArabī, 1165-1240; views on freedom; Sufism; Islamic philosophy.

Contrary to Vaesen's argument that humans are unique with respect to nine cognitive capacities essential for tool use, we suggest that although such cognitive processes contribute to variation in tool use, it does not follow that these capacities arenecessaryfor tool use, nor that tool use shaped cognition per se, given the available data in cognitive neuroscience and behavioral biology.

This paper is devoted to the study of some subvarieties of the variety Qof Q-Heyting algebras, that is, Heyting algebras with a quantifier. In particular, a deeper investigation is carried out in the variety Q 3 of three-valued Q-Heyting algebras to show that the structure of the lattice of subvarieties of Qis far more complicated that the lattice of subvarieties of Heyting algebras. We determine the simple and subdirectly irreducible algebras in Q 3 and we construct the lattice of subvarieties (...) (Q 3 ) of the variety Q 3. (shrink)

Traditional Chinese commentators rightly see that understanding Zhuangzi's way with words is the presupposition for understanding Zhuangzi at all. They are not sure, however, if Zhuangzi's words are super-effective or pure nonsense. I consider Zhuangzi's experience with language, and then turn to Heidegger's word of being to see if it may throw light on Zhuangzi's way of saying. I argue that a conversation between Heidegger and Zhuangzi on language is possible, but only by expanding Heidegger's notion of Gestell and through (...) a destruction of the dominant Confucian discourse that obscures Zhuangzi's way of saying. (shrink)

Several variants of Lewis's Best System Account of Lawhood have been proposed that avoid its commitment to perfectly natural properties. There has been little discussion of the relative merits of these proposals, and little discussion of how one might extend this strategy to provide natural property-free variants of Lewis's other accounts, such as his accounts of duplication, intrinsicality, causation, counterfactuals, and reference. We undertake these projects in this paper. We begin by providing a framework for classifying and assessing the variants (...) of the Best System Account. We then evaluate these proposals, and identify the most promising candidates. We go on to develop a proposal for systematically modifying Lewis's other accounts so that they, too, avoid commitment to perfectly natural properties. We conclude by briefly considering a different route one might take to developing natural property-free versions of Lewis's other accounts, drawing on recent work by Williams. (shrink)

Perhaps more than any philosophy written in the past few centuries, the work of Friedrich Nietzsche has given rise to controversy, misunderstanding, and dissent. Today Nietzsche is remembered as the revolutionary author of such polemical ideas as the death of God, the revaluation of values, the will to untruth, and the Übermensch. Yet is Nietzsche’s philosophy as atheistic, relativistic, nihilistic, and immoral as some commentators have claimed? Or ought we perhaps to give more credence to Nietzsche’s own assertion that one (...) writes books “precisely to conceal what one harbors” (BGE, 9, 289)? If “whatever is profound loves masks” (BGE, 2, 40) then might Nietzsche’s more daring claims be interpreted as clever masks behind which he conceals a deeper philosophy and on which he reveals a hidden truth? Is it not possible that the standard readings of Nietzsche are in fact misreadings—that his work invites misreading, that it is intentionally unclear, deceptive, disguised? The goal of this volume is to reread Nietzsche for all that he shows and all that he hides. It is to dig deeper into his work in order to challenge misreadings of old and invite misreadings anew—as, indeed, his work itself calls for and demands. (shrink)

The ideal introduction for students of semantics, Lexical Meaning fills the gap left by more general semantics textbooks, providing the teacher and the student with insights into word meaning beyond the traditional overviews of lexical relations. The book explores the relationship between word meanings and syntax and semantics more generally. It provides a balanced overview of the main theoretical approaches, along with a lucid explanation of their relative strengths and weaknesses. After covering the main topics in lexical meaning, such as (...) polysemy and sense relations, the textbook surveys the types of meanings represented by different word classes. It explains abstract concepts in clear language, using a wide range of examples, and includes linguistic puzzles in each chapter to encourage the student to practise using the concepts. 'Adopt-a-Word' exercises give students the chance to research a particular word, building a portfolio of specialist work on a single word. (shrink)

"Neuroscience and Philosophy" begins with an excerpt from "Philosophical Foundations of Neuroscience," in which Maxwell Bennett and Peter Hacker question the ...

This chapter examines the normative question of whether the cultivation of patriotic and nationalist ideals and attachments should have a central place in programs of civic education. It argues that the most useful way to draw the distinction between patriotism and nationalism focuses on their respective objects of loyalty; patriotism is loyalty to a country while nationalism is loyalty to a people. This way of distinguishing between patriotism and nationalism forms the background for the discussion of a variety of instrumental (...) and non-instrumental arguments for cultivating patriotic and nationalist political attachments in schools. It also examines an assumption common to these programs of civic education: that a shared identity is crucial for citizens to have a sense of belonging that supports social stability and desirable forms of political change. The final part of the chapter introduces a number of alternative educational proposals that aim to avoid some of the difficulties faced by patriotic and nationalist strategies. These alternative proposals aim to encourage good citizenship while taking into account new challenges generated by the political, social, and economic conditions of an increasingly globalized world. (shrink)

Writing from a scientifically and philosophically informed perspective, the authors provide a critical overview of the conceptual difficulties encountered in many current neuroscientific and psychological theories.

This book is available either individually, or as part of the specially-priced Arguments of the Philosphers Collection.

Hubert Dreyfus has argued that cases of absorbed bodily coping show that there is no room for self-awareness in flow experiences of experts. In this paper, I argue against Dreyfus’ maxim of vanishing self-awareness by suggesting that awareness of agency is present in expert bodily action. First, I discuss the phenomenon of absorbed bodily coping by discussing flow experiences involved in expert bodily action: merging into the flow; immersion in the flow; emergence out of flow. I argue against the claim (...) that flow experience does not involve an awareness of agency for each of these features, while conceding that fluent agency does not involve self-awareness in the thetic sense. I challenge the assumption that the awareness of fluent agency must be understood in terms of a thetic awareness of agency. Instead, I develop an Anscombean account of the awareness of fluent agency in terms of the phenomenal character of knowing one’s aims. I respond to the challenge that if an Anscombean account of the awareness of agency is to succeed, then agents must be able to answer Anscombean questions. I consider the objection that awareness of agency is not a form of self-awareness by outlining an account of self-awareness as self-synthesis that is distinct from self-perception and self-ascription, but which makes room for self-awareness in expert bodily action. (shrink)

One of the most influential contemporary philosophers, Hilary Putnam's involvement in philosophy spans philosophy of mind, philosophy of language, ontology and epistemology and logic. This specially commissioned collection discusses his contribution to the realist and pragmatist debate. Hilary Putnam comments on the issues raised in each article, making it invaluable for any scholar of his work.

Rescued in 1972 from a storeroom in which rats and seeping water had severely damaged the fifty-year-old manuscript, this text is the earliest major work (1919-1921) of the great Russian philosopher M. M. Bakhtin. Toward a Philosophy of the Act contains the first occurrences of themes that occupied Bakhtin throughout his long career. The topics of authoring, responsibility, self and other, the moral significance of "outsideness," participatory thinking, the implications for the individual subject of having "no-alibi in existence," the difference (...) between the world as experienced in actions and the world as represented in discourse--all are broached here in the heat of discovery. This is the "heart of the heart" of Bakhtin, the center of the dialogue between being and language, the world and mind, "the given" and "the created" that forms the core of Bakhtin's distinctive dialogism. A special feature of this work is Bakhtin's struggle with the philosophy of Immanuel Kant. Put very simply, this text is an attempt to go beyond Kant's formulation of the ethical imperative. Toward a Philosophy of the Act will be important for scholars across the humanities as they grapple with the increasingly vexed relationship between aesthetics and ethics. (shrink)

This book explores how some word meanings are paradigmatically related to each other, for example, as opposites or synonyms, and how they relate to the mental organization of our vocabularies. Traditional approaches claim that such relationships are part of our lexical knowledge (our "dictionary" of mentally stored words) but Lynne Murphy argues that lexical relationships actually constitute our "metalinguistic" knowledge. The book draws on a century of previous research, including word association experiments, child language, and the use of synonyms and (...) antonyms in text. (shrink)

Zhizneopisanie -- Kniga znanii︠a︡ -- Ukazanii︠a︡ i nastavlenii︠a︡ -- Kniga o dushe.

Desde que se inicia el confinamiento hasta la actualidad, se dispara la inseguridad en el sector económico en general, situando en un estado aún más crítico a los colectivos sociales más vulnerables como las mujeres. Pondremos nuestro punto de mira y objetivo en el trabajo social y de inserción desarrollado con las mujeres migrantes riojanas durante la pandemia. Para ello, se llevará a cabo una revisión y análisis de datos socioeconómicos en base a las tasas de paro y de empleo (...) solicitados a fecha de 31 de diciembre 2020, considerando la proyección para el año 2021. A su vez, se revisará el trabajo de intervención desarrollado para dicho colectivo. (shrink)

From Soul to Self takes us on a fascinating journey through philosophy, theology, religious studies and physiological sciences. The contributors explore the relationship between a variety of ideas that have arisen in philosophy, religion and science, each idea seeking to explain why we think we are somehow unique and distinct.