O-minimal structures have long been thought to occupy the base of a hierarchy of ordered structures, in analogy with the role that strongly minimal structures play with respect to stable theories. This is the first in an anticipated series of papers whose aim is the development of model theory for ordered structures of rank greater than one. A class of ordered structures to which a notion of finite rank can be assigned, the decomposable structures, is introduced here. These include all (...) ordered structures definable in o-minimal structures. The principal result in this paper, Theorem 5.1, asserts roughly that a decomposable structure [Formula: see text] can be partitioned into finitely many definable subsets such that on each set the restriction of < is a "twisted lexicographic" order. As a consequence, for all n and linear orders ≺ definable on a subset X ⊆ Mn in an o-minimal structure [Formula: see text], there is a definable partition of X such that the restriction of ≺ to each set in the partition is "lexicographic". (shrink)

We explore a notion of pseudofinite dimension, introduced by Hrushovski and Wagner, on an infinite ultraproduct of finite structures. Certain conditions on pseudofinite dimension are identified that guarantee simplicity or supersimplicity of the underlying theory, and that a drop in pseudofinite dimension is equivalent to forking. Under a suitable assumption, a measure-theoretic condition is shown to be equivalent to local stability. Many examples are explored, including vector spaces over finite fields viewed as 2-sorted finite structures, and homocyclic groups. Connections are (...) made to products of sets in finite groups, in particular to word maps, and a generalization of Tao's Algebraic Regularity Lemma is noted. (shrink)

Given a theoryTextending that of dense linear orders without endpoints, in a language ℒ ⊇ {<}, we are interested in extensionsT′ ofTin languages extending ℒ by unary relation symbols that are each interpreted in models ofT′ as sets that are both dense and codense in the underlying sets of the models.There is a canonically “wild” example, namelyT= Th andT′ = Th. Recall thatTis o-minimal, and so every open set definable in any model ofThas only finitely many definably connected components. But (...) it is well known that 〈ℝ, <, +, · ℚ 〉 defines every real Borel set, in particular, every open subset of any finite cartesian power of ℝ and every subset of any finite cartesian power of ℚ. To put this another way, the definable open sets in models ofTare essentially as simple as possible, whileT′ has a model where the definable open sets are as complicated as possible, as is the structure induced on the new predicate.In contrast to the preceding example, if ℝalgis the set of real algebraic numbers andT′ Th, then no model ofT′ defines any open set that is not definable in the underlying model ofT. (shrink)

We study o-minimal expansions of Archimedean totally ordered groups. We first prove that any such expansion must be elementarily embeddable via a unique (provided some nonzero element is 0-definable) elementary embedding into a unique o-minimal expansion of the additive ordered group of real numbers R. We then show that a definable function in an o-minimal expansion of R enjoys good differentiability properties and use this to prove that an Archimedean real closed field is definable in any nonsemilinear expansion of R. (...) Combining these results, we obtain several restrictions on possible o-minimal expansions of arbitrary Archimedean ordered groups and in particular of the rational ordered group. (shrink)

We show, for various classes of totally ordered structures, including o‐minimal and weakly o‐minimal structures, that every definable partial order on a subset of extends definably in to a total order. This extends the result proved in for and o‐minimal.

It is shown that if is an o-minimal structure such that is a dense total order and ≾ is a parameter-definable partial order on M, then ≾ has an extension to a definable total order.

For a countable complete o-minimal theory T, we introduce the notion of a sequentially complete model of T. We show that a model M of T is sequentially complete if and only if $\mathscr{M} \prec \mathscr{N}$ for some Dedekind complete model N. We also prove that if T has a Dedekind complete model of power greater than 2 ℵ 0 , then T has Dedekind complete models of arbitrarily large powers. Lastly, we show that a dyadic theory--namely, a theory relative (...) to which every formula is equivalent to a Boolean combination of formulas in two variables--that has some Dedekind complete model has Dedekind complete models in arbitrarily large powers. (shrink)

Review by: Michael Benedikt The Bulletin of Symbolic Logic, Volume 19, Issue 1, Page 112-115, March 2013.

The place of religion in society has changed profoundly in the last few centuries, particularly in the West. In what will be a defining book for our time, Taylor takes up the question of what these changes mean, and what, precisely, happens when a society becomes one in which faith is only one human possibility among others.

Charles Taylor has been one of the most original and influential figures in contemporary philosophy: his 'philosophical anthropology' spans an unusually wide range of theoretical interests and draws creatively on both Anglo-American and Continental traditions in philosophy. A selection of his published papers is presented here in two volumes, structured to indicate the direction and essential unity of the work. He starts from a polemical concern with behaviourism and other reductionist theories (particularly in psychology and the philosophy of language) (...) which aim to model the study of man on the natural sciences. This leads to a general critique of naturalism, its historical development and its importance for modern culture and consciousness; and that in turn points, forward to a positive account of human agency and the self, the constitutive role of language and value, and the scope of practical reason. The volumes jointly present some two decades of work on these fundamental themes, and convey strongly the tenacity, verve and versatility of the author in grappling with them. They will interest a very wide range of philosophers and students of the human sciences. (shrink)

This new edition of Charles Fried's 'Medical Experimentation' includes a general introduction by Franklin Miller and the late Alan Wertheimer, a reprint of the 1974 text, an in-depth analysis by Harvard Law School scholars I. Glenn Cohen and D. James Greiner, and a new essay by Fried reflecting on the original text and how it applies to the contemporary landscape of medicine and medical experimentation.

In this revised edition of his 1979 classic Political Theory and International Relations, Charles Beitz rejects two highly influential conceptions of international theory as empirically inaccurate and theoretically misleading. In one, international relations is a Hobbesian state of nature in which moral judgments are entirely inappropriate, and in the other, states are analogous to persons in domestic society in having rights of autonomy that insulate them from external moral assessment and political interference. Beitz postulates that a theory of international (...) politics should include a revised principle of state autonomy based on the justice of a state’s domestic institutions, and a principle of international distributive justice to establish a fair division of resources and wealth among persons situated in diverse national societies. (shrink)

Familiarity with Charles Darwin's treatise on evolution is essential to every well-educated individual. One of the most important books ever published--and a continuing source of controversy, a century and a half later--this classic of science is reproduced in a facsimile of the critically acclaimed first edition.

Perhaps the most readable and accessible of the great works of scientific imagination, The Origin of Species sold out on the day it was published in 1859. Theologians quickly labeled Charles Darwin the most dangerous man in England, and, as the Saturday Review noted, the uproar over the book quickly "passed beyond the bounds of the study and lecture-room into the drawing-room and the public street." Yet, after reading it, Darwin's friend and colleague T. H. Huxley had a different (...) reaction: "How extremely stupid not to have thought of that." Based largely on Darwin's experience as a naturalist while on a five-year voyage aboard H.M.S. Beagle, The Origin of Species set forth a theory of evolution and natural selection that challenged contemporary beliefs about divine providence and the immutability of species. A landmark contribution to philosophical and scientific thought, this edition also includes an introductory historical sketch and a glossary Darwin later added to the original text. Charles Darwin grew up considered, by his own account, "a very ordinary boy, rather below the common standard of intellect." A quirk of fate kept him from the career his father had deemed appropriate--that of a country parson--when a botanist recommended Darwin for an appointment as a naturalist aboard H.M.S. Beagle from 1831 to 1836. Darwin is also the author of the five-volume work Zoology of the Voyage of the Beagle (1839) and The Descent of Man (1871). (shrink)

The publication of Darwin's On the Origin of Species in 1859 ignited a public storm he neither wanted nor enjoyed. Having offered his book as a contribution to science, Darwin discovered to his dismay that it was received as an affront by many scientists and as a sacrilege by clergy and Christian citizens. To answer the criticism that his theory was a theory only, and a wild one at that, he published two volumes in 1868 to demonstrate that evolution was (...) obvious to anyone who cared to look at a bull in a pasture or a dog on a hearth. In response to those who insisted that species were distinct since creation, Darwin pointed to breeders of pigs and pigeons. In reply to those who protested that human intervention is one thing and natural selection another, he argued, "If organic beings had not possessed an inherent tendency to vary, man could have done nothing." To counter those who scorned his descriptions of species in exotic places, he submitted local evidence of cabbages and cauliflower. Based on a wide array of sources, from ancient pictographs to Polish roosters, from skins and from skeletons, from scientific journals and breeding manuals, Darwin assembled a mass of proof--and a hypothesis about species reversion that risked his reputation anew. The Variation of Animals and Plants under Domestication is a two-volume compilation of his thorough and intensive research and the revolutionary conclusions that resulted. The first portion of his work is dedicated to a meticulous analysis of various aspects of plant and animal life, including an inventory of varieties and their physical and behavioral characteristics, investigation of the impact of a species' surrounding environment and the role that both natural and forced changes in this environment have had. Darwin then turns to a richly detailed discussion of the roles of inheritance and crossing in the development of species. A wealth of illustrations further support and enhance his findings. This fascinating, invaluable, and courageous undertaking eventually formed the foundation for our current understanding of evolution. "In science as in politics the victors tend to write the history books. As a result, the record of the past is edited, intentionally or unintentionally, so that it focuses mainly on the precursors of contemporary orthodoxy. Such a focus may accurately represent the genealogy of modern ideas, but it almost inevitably misrepresents the historical experience of their progenitors... Even the powerful, persuasive, and ultimately triumphant theory of evolution by natural selection required not only defense, but repeated buttressing and revision. Variation showed Darwin hard at work on this rearguard action, using the materials he had at hand... His information was gleaned from the observations of fanciers, breeders, and amateur naturalists, as well as from the treatises of those on the cutting edge of zoology and botany. As hindsight narrows the historical spotlight, it imposes its own sense of hierarchy on the preoccupations of the past. But Darwin was interested in all of these topics, valued all of these sources, and belonged, to a greater or lesser extent, to all of these communities."--from the Introduction. (shrink)

A new understanding of political philosophy from one of its leading thinkers What is political philosophy? What are its fundamental problems? And how should it be distinguished from moral philosophy? In this book, Charles Larmore redefines the distinctive aims of political philosophy, reformulating in this light the basis of a liberal understanding of politics. Because political life is characterized by deep and enduring conflict between rival interests and differing moral ideals, the core problems of political philosophy are the regulation (...) of conflict and the conditions under which the members of society may thus be made subject to political authority. We cannot assume that reason will lead to unanimity about these matters because individuals hold different moral convictions. Larmore therefore analyzes the concept of reasonable disagreement and investigates the ways we can adjudicate conflicts among people who reasonably disagree about the nature of the human good and the proper basis of political society. Challenging both the classical liberalism of Locke, Kant, and Mill, and more recent theories of political realism proposed by Bernard Williams and others, Larmore argues for a version of political liberalism that is centered on political legitimacy rather than on social justice, and that aims to be well suited to our times rather than universally valid. Forceful and thorough yet concise, What Is Political Philosophy? proposes a new definition of political philosophy and demonstrates the profound implications of that definition. The result is a compelling and distinctive intervention from a major political philosopher. (shrink)

Packed with examples pulled straight from recent headlines, ENGINEERING ETHICS, Sixth Edition, helps engineers understand the importance of their conduct as professionals as well as reflect on how their actions can affect the health, safety and welfare of the public and the environment. Numerous case studies give readers plenty of hands-on experience grappling with modern-day ethical dilemmas, while the book's proven and structured method for analysis walks readers step by step through ethical problem-solving techniques. It also offers practical application of (...) the Engineering Code of Ethics and thorough coverage of critical moral reasoning, effective organizational communication, sustainability and economic development, risk management, ethical responsibilities, globalized standards for engineering and emerging challenges relating to evolving technology. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. (shrink)

The Spirit of the Laws is, without question, one of the central texts in the history of eighteenth-century thought, yet there has been no complete, scholarly English-language edition since that of Thomas Nugent, published in 1750. This lucid translation renders Montesquieu's problematic text newly accessible to a fresh generation of students, helping them to understand quite why Montesquieu was such an important figure in the early enlightenment and why The Spirit of the Laws was, for example, such an influence upon (...) those who framed the American constitution. Fully annotated, this edition focuses attention upon Montesquieu's use of sources and his text as a whole, rather than upon those opening passages towards which critical energies have traditionally been devoted, and a select bibliography and chronology are provided for those coming to Montesquieu's work for the first time. (shrink)

The Tattvasaṃgraha, or Encyclopedia of Metaphysics, is the most influential and most frequently studied philosophical text from the late period of Indian Buddhism. This edition includes verses by Śāntarakṣita (c. 725-788 CE), which are clarified and expounded in the commentary of his student Kamalaśīla (c. 740-795 CE); both of these authors played crucial roles in founding the Buddhist tradition of Tibet. In the Tattvasaṃgraha, they explain, discuss and critique a vast range of views and arguments from across the whole South (...) Asian philosophical and religious spectrum. The work deals at length with ideas drawn from Buddhism, Jainism, and a variety of traditions now incorporated within Hinduism, including Mīmāṃsā, Nyāya-vaiśeṣika, and Sāṃkhya; it also includes the earliest discussion of Advaita Vedānta in any Buddhist text. The chapters selected for translation from Sanskrit and Tibetan deal with such fundamental philosophical issues as the existence or nonexistence of God and the soul; the nature of matter and of causal relationships; the connection between words and their referents; the rules of logic; the sources of our knowledge; and the compatibility of beliefs about karma with Buddhism's fundamental claim that there is no self. Introductory chapters discuss translation choices and explain the forms of argument and methods of reasoning employed by Śāntarakṣita and Kamalaśīla. (shrink)

This first volume of the Logic of the Future edition collects Peirce's writings on the historical development, theory and application of his graphical method and diagrammatic reasoning. Its 28 selections of texts and extensive general and volume int.

In this book, Charles Larmore develops an account of morality, freedom, and reason that rejects the naturalistic metaphysics shaping much of modern thought. Reason, Larmore argues, is responsiveness to reasons, and reasons themselves are essentially normative in character, consisting in the way that physical and psychological facts - facts about the world of nature - count in favor of possibilities of thought and action that we can take up. Moral judgments are true or false in virtue of the moral (...) reasons there are. We need therefore a more comprehensive metaphysics that recognizes a normative dimension to reality as well. Though taking its point of departure in the analysis of moral judgment, this book branches widely into related topics such as freedom and the causal order of the world, textual interpretation, the nature of the self, self-knowledge, and the concept of duties to ourselves. (shrink)

One of science's greatest intellects examines how people and animals display fear, anger, and pleasure. Darwin based this 1872 study on his personal observations, which anticipated later findings in neuroscience. Abounding in anecdotes and literary quotations, the book is illustrated with 21 figures and seven photographic plates. Its direct approach, accessible to professionals and amateurs alike, continues to inspire and inform modern research in psychology.

Of laws in general -- Of laws directly derived from the nature of government -- Of the principles of the three kinds of government -- That the laws of education ought to be relative to the principles of government -- That the laws given by the legislator ought to be relative to the nature of government -- Consquences of the principles of different governments, with respect to the simplicity of civil and criminal laws, the form of judgements, and inflicting of (...) punishments -- Consquences of the different principles of the three governments, with respect to sumptuary laws, luxury, and the condition of women -- Of the corruption of the principles of the three governments -- Of the laws in the relation they bear to defensive force -- Of laws, in the relation they bear to offensive force. (shrink)

The description for this book, Political Equality: An Essay in Democratic Theory, will be forthcoming.