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 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.

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)

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)

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.

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

In The Origin of Species (1859) Darwin challenged many of the most deeply-held beliefs of the Western world. Arguing for a material, not divine, origin of species, he showed that new species are achieved by "natural selection." The Origin communicates the enthusiasm of original thinking in an open, descriptive style, and Darwin's emphasis on the value of diversity speaks more strongly now than ever. As well as a stimulating introduction and detailed notes, this edition offers a register of the many (...) writers referred to by Darwin in the text. (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.

Should engineering ethics be taught? Despite the obvious truism that we all want our students to be moral engineers who practice virtuous professional behavior, I argue, in this article that the question itself obscures several ambiguities that prompt preliminary resolution. Upon clarification of these ambiguities, and an attempt to delineate key issues that make the question a philosophically interesting one, I conclude that engineering ethics not only should not, but cannot, be taught if we understand “teaching engineering ethics” to mean (...) training engineers to be moral individuals (as some advocates seem to have proposed). However, I also conclude that there is a justification to teaching engineering ethics, insofar as we are able to clearly identify the most desirable and efficacious pedagogical approach to the subject area, which I propose to be a case study-based format that utilizes the principle of human cognitive pattern recognition. (shrink)

David Charles presents a major new study of Aristotle's views on meaning, essence, necessity, and related topics. These interconnected views are central to Aristotle's metaphysics, philosophy of language, and philosophy of science, and are also highly relevant to current philosophical debates. Charles aims to reach a clear understanding of Aristotle's claims and arguments, to assess their truth, and to evaluate their importance to ancient and modern philosophy.

The essays collected in this volume all explore the problem of the relation between moral philosophy and modernity. Charles Larmore addresses this problem by attempting to define the way distinctive forms of modern experience should orientate our moral thinking. Charles Larmore wonders whether the dominant forms of modern philosophy have not become blind to important dimensions of the moral life. The book argues against recent attempts to return to the virtue-centered perspective of ancient Greek ethics. As well as (...) exploring the differences between ancient and modern ethics, the author examines such topics as the roles of reason and history in our moral understanding, the inadequacy of philsophical naturalism, and the foundations of modern liberalism. There are also extended discussions of a number of leading contemporary philosophers: Rawls, Habermas, Williams and Rorty. (shrink)

This book proposes a new paradigm for the interpretation of Plato's early and middle dialogues. Rejecting the usual assumption of a distinct 'Socratic' period in the development of Plato's thought, this view regards the earlier works as deliberate preparation for the exposition of Plato's mature philosophy. Differences between the dialogues do not represent different stages in Plato's own thinking but rather different aspects and moments in the presentation of a new and unfamiliar view of reality. Once the fictional character of (...) the Socratic genre is recognised, there is no reason to regard Plato's early dialogues as representing the philosophy of the historical Socrates. The result is a unified interpretation of all of the dialogues down to the Republic and the Phaedrus. (shrink)

This wide-ranging anthology of philosophical writings on the concept of God presents a systematic overview of the chief conceptions of deity as well as skeptical and atheistic critiques of theological ideas. The selections cover key philosophic developments in this subject area from ancient times to modern in both the East and West. Editors Hartshorne and Reese-two of the most highly respected scholars in the philosophy of religion-have not only selected many arresting passages from the world's great thinkers but have also (...) analyzed and evaluated the underlying ideas, showing how they fit into major, overarching systems of thought. Part One, "Classical Views," includes passages from ancient Egyptian, Indian, Chinese, and Judeo-Christian scriptures as well as philosophical writings from ancient Greece, the medieval church, and the Enlightenment. Part Two, "Modern Views," considers the ideas of more recent influential thinkers from diverse cultures and philosophical schools: Schelling, Peirce, Whitehead, Schweitzer, Buber, Radhakrishnan, and Watts, among others, are represented and discussed. Part Three, "Skeptical or Atheistic Views: Ancient and Modern," examines various kinds of skepticism and includes selections from Carneades, Buddha, Hume, Schopenhauer, Feuerbach, Nietzsche, Dennes, and Freud. Throughout their presentation the editors analyze and contrast theistic, atheistic, pantheistic, and panentheistic systems of thought. Philosophers Speak of God is a richly varied selection of high-quality writing on a perennial subject that will provide the serious student a thorough foundation in the philosophy of religion. (shrink)

The propensity interpretation of fitness (PIF) is commonly taken to be subject to a set of simple counterexamples. We argue that three of the most important of these are not counterexamples to the PIF itself, but only to the traditional mathematical model of this propensity: fitness as expected number of offspring. They fail to demonstrate that a new mathematical model of the PIF could not succeed where this older model fails. We then propose a new formalization of the PIF that (...) avoids these (and other) counterexamples. By producing a counterexample-free model of the PIF, we call into question one of the primary motivations for adopting the statisticalist interpretation of fitness. In addition, this new model has the benefit of being more closely allied with contemporary mathematical biology than the traditional model of the PIF. (shrink)

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)

Nearly everyone has wronged another. Who among us has not longed to be forgiven? Who has not struggled to forgive? Charles Griswold has written the first comprehensive philosophical book on forgiveness in both its interpersonal and political contexts, as well as its relation to reconciliation. Having examined the place of forgiveness in ancient philosophy and in modern thought, he discusses what forgiveness is, what conditions the parties to it must meet, its relation to revenge and hatred, when it is (...) permissible and whether it is obligatory, and why it is a virtue. Griswold argues that forgiveness is inappropriate in politics, and analyzes the nature and limits of political apology with reference to historical examples. The book concludes with an examination of the relation between memory, narrative, and truth. (shrink)

In Part 1, I contend (using Coriolanus as my mouthpiece) that Keeley and Clarke have failed to show that there is anything intellectually suspect about conspiracy theories per se. Conspiracy theorists need not commit the ‘fundamental attribution error’ there is no reason to suppose that all or most conspiracy theories constitute the cores of degenerating research programs, nor does situationism - a dubious doctrine in itself - lend any support to a systematic skepticism about conspiracy theories. In Part 2. I (...) argue (in propria persona) that the idea that there is something suspect about conspiracy theories is one of the most dangerous and idiotic superstitions to disgrace our political culture. (shrink)

According to the conceptualist view in the philosophy of perception, we must possess concepts for all the objects, properties and relations which feature in our perceptual experiences. In this paper, I investigate the possibility of developing an argument against the conceptualist view by appealing to the notion of attention. In Part One, I begin by setting out an apparently promising version of such an argument, a version which appeals to a link between attention and perceptual demonstrative concept possession. In Part (...) Two, however, I show how the conceptualist can challenge what appears to be the key premise of the argument, and I go on to describe, in Part Three, an important further difficulty which we face if we attempt to overcome this challenge in a particular way. My conclusion will be that the conceptualist's challenge to the argument is convincing and hence that the argument remains inconclusive. (shrink)

Divided into three parts, this book's purpose, as given in the introduction, is to consider whether or not man is descended from a pre-existing form, his manner ...

This book presents a thorough overview of a model of human functioning based on the idea that behavior is goal-directed and regulated by feedback control processes. It describes feedback processes and their application to behavior, considers goals and the idea that goals are organized hierarchically, examines affect as deriving from a different kind of feedback process, and analyzes how success expectancies influence whether people keep trying to attain goals or disengage. Later sections consider a series of emerging themes, including dynamic (...) systems as a model for shifting among goals, catastrophe theory as a model for persistence, and the question of whether behavior is controlled or instead 'emerges'. Three chapters consider the implications of these various ideas for understanding maladaptive behavior, and the closing chapter asks whether goals are a necessity of life. Throughout, theory is presented in the context of diverse issues that link the theory to other literatures. (shrink)

This is a study edition of Charles Sanders Peirce's manuscripts for lectures on pragmatism given in spring 1903 at Harvard University.

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)

In The Autonomy of Morality Charles Larmore challenges two ideas that have shaped the modern mind. The world, he argues, is not a realm of value-neutral fact, nor does human freedom consist in imposing principles of our own devising on an alien reality. Rather, reason consists in being responsive to reasons for thought and action that arise from the world itself. Larmore shows that the moral good has an authority that speaks for itself. Only in this light does the (...) true basis of a liberal political order come into view, as well as the role of unexpected goods in the makeup of a life lived well. (shrink)

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.

Are they needed? To be sure. The Darwinian industry, industrious though it is, has failed to provide texts of more than a handful of Darwin's books. If you want to know what Darwin said about barnacles (still an essential reference to cirripedists, apart from any historical importance) you are forced to search shelves, or wait while someone does it for you; some have been in print for a century; various reprints have appeared and since vanished." -Eric Korn,Times Literary Supplement (...) class='Hi'>Charles Robert Darwin (1880-1882) has been widely recognized since his own time as one of the most influential writers in the history of Western thought. His books were widely read by specialists and the general public, and his influence had been extended by almost continuous public debate over the last 130 years. New York University Press' edition makes it possible for the first time to review Darwin's public literary output as a whole, plus his scientific journal articles, his private notebooks, and his correspondence. This is the first complete edition containing all of Darwin's published books, featuring definitive texts recording original paginations with Darwin's indexes retained. All illustrations and plates are presented, inclucing 82 color plates of birds and mammals and several folding maps and plates. The set also features a general introduction and index, and textural introductions in each volume. (shrink)

Iris Murdoch and moral philosophy -- Understanding the other: a Gadamerian view on conceptual schemes -- Language not mysterious? -- Celan and the recovery of language -- Nationalism and modernity -- Conditions of an unforced consensus on human rights -- Democratic exclusion (and its remedies?) -- Religious mobilizations -- Themes from a secular age -- The immanent counter-enlightenment -- Notes on the sources of violence: perennial and modern -- The future of the religious past -- Disenchantment-re-enchantment -- What does secularism (...) mean? -- Die blosse Vernunft ("reason alone") -- Perils of moralism -- What was the Axial revolution? (shrink)

The transcendental aesthetic -- Arithmetic and the categories -- Remarks on pure natural science -- Two studies in the reception of Kant's philosophy of arithmetic: postscript to part I -- Some remarks on Frege's conception of extension -- Postscript to essay 5 -- Frege's correspondence: postscript to essay 6 -- Brentano on judgment and truth -- Husserl and the linguistic turn.