Over 25 years ago, the first author conjectured in [15] that the existence of arbitrarily large primes is provable from the axioms I Δ₀(π) + def(π), where π(x) is the number of primes not exceeding x, IΔ₀(π) denotes the theory of Δ₀ induction for the language of arithmetic including the new function symbol π, and de f(π) is an axiom expressing the usual recursive definition of π. We prove a modified version in which π is replaced by a more general (...) function ξ that counts some of the primes below x (which primes depends on the values of parameters in ξ), and has the property that π is provably Δ₀(ξ) definable. (shrink)

Let φ be a monadic second order sentence about a finite structure from a class K which is closed under disjoint unions and has components. Compton has conjectured that if the number of n element structures has appropriate asymptotics, then unlabelled (labelled) asymptotic probabilities ν(φ) (μ(φ) respectively) for φ always exist. By applying generating series methods to count finite models, and a tailor made Tauberian lemma, this conjecture is proved under a mild additional condition on the asymptotics of the number (...) of single component K-structures. Prominent among examples covered, are structures consisting of a single unary function (or partial function) and a fixed number of unary predicates. (shrink)

‘Fascinating’, ‘brilliant’, ‘oddly moving’, ‘a warm human picture’ – this biography was enthusiastically received when it came out in 1957. And no wonder. It is not only the lively story of a distinguished man but a lucid account of his work and its significance. The author, who was himself a philosopher and journalist, has followed the bright thread of Russell’s personality with affectionate insight, from the three-day-old baby who looked about him ‘in a very energetic way’, and the boy who (...) jibbed at taking Euclid on trust, through the many turns of his life, to the undimmed octogenarian, still questioning and still deeply concerned. The subject is a great one and the biographer has matched it. (shrink)

Preparing the Next Generation of Oral Historians is an invaluable resource to educators seeking to bring history alive for students at all levels. Filled with insightful reflections on teaching oral history, it offers practical suggestions for educators seeking to create curricula, engage students, gather community support, and meet educational standards. By the close of the book, readers will be able to successfully incorporate oral history projects in their own classrooms.

This book's importance is derived from three sources: careful conceptualization of teacher induction from historical, methodological, and international perspectives; systematic reviews of research literature relevant to various aspects of teacher induction including its social, cultural, and political contexts, program components and forms, and the range of its effects; substantial empirical studies on the important issues of teacher induction with different kinds of methodologies that exemplify future directions and approaches to the research in teacher induction.

One obvious solution to the puzzles of apparently coincident objects is a sort of reductionism - the tree really just is the wood, the statue is just the clay, and nothing really ceases to exist in the purported non-identity showing cases. This paper starts with that approach and its underlying motivation, and argues that if one follows those motivations - specifically, the rejection of coincidence, and the belief that 'genuine' object-destroying changes must differ non-arbitrarily from accidental changes, that one can (...) plausibly be pushed to an extreme nihilism, that denies the existence of any objects at all. (shrink)

“Engineers are generally an ethically motivated profession, knowing that their achievements are open to scrutiny and that much of the activity relates to work of a team.” What form such engineering ethics should take today is explored here by Sir Alan Muir Wood, FRS, FEng, FICE, Consultant, Sir William Halcrow and Partners.

This paper has two related goals. First, we develop an expressivist account of negation which, in the spirit of Alan Gibbard, treats disagreement as semantically primitive. Our second goal is to make progress toward a unified expressivist treatment of modality. Metaethical expressivists must be expressivists about deontic modal claims. But then metaethical expressivists must either extend their expressivism to include epistemic and alethic modals, or else accept a semantics for modal expressions that is radically disjunctive. We propose that expressivists (...) look to Amie Thomasson’s work for a general strategy for offering a unified expressivist account of modality. Modals in general, we propose, are devices for expressing metalinguistic commitments within the object language, with deontic, epistemic, and metaphysical modals all expressing different kinds of metalinguistic commitments. (shrink)

“Engineers are generally an ethically motivated profession, knowing that their achievements are open to scrutiny and that much of the activity relates to work of a team.” What form such engineering ethics should take today is explored here by Sir Alan Muir Wood, FRS, FEng, FICE, Consultant, Sir William Halcrow and Partners.

Alan Wood's claim that ‘Marx did not consider capitalism unjust’ is based on three reasons: 1) According to Marx, the conceptions of justice is the highest expression of the rationality of social facts from the juridical point of view; 2) Marx argues that whether an economic trade or social institution is a just one depends on its compatibility with modes of production; 3) according to Marx, possession of surplus value by the capitalists does not include unequal or unjust trades. (...) Wood presents these three reasons in detail and provides specific referential support for them. This paper argues that Wood fails to provide sufficient referential support to his proposition and his interpretation of the relevant texts is mistaken, and hence that Wood’s claim is invalid. (shrink)

Philosophical arguments usually are and nearly always should be abductive. Across many areas, philosophers are starting to recognize that often the best we can do in theorizing some phenomena is put forward our best overall account of it, warts and all. This is especially true in esoteric areas like logic, aesthetics, mathematics, and morality where the data to be explained is often based in our stubborn intuitions. -/- While this methodological shift is welcome, it's not without problems. Abductive arguments involve (...) significant theoretical resources which themselves can be part of what's being disputed. This means that we will sometimes find otherwise good arguments which suggest their own grounds are problematic. In particular, sometimes revising our beliefs on the basis of such an argument can undermine the very justification we used in that argument. -/- This feature, which I'll call self-effacingness, occurs most dramatically in arguments against our standing views on the esoteric subject matters mentioned above: logic, mathematics, aesthetics, and morality. This is because these subject matters all play a role in how we reason abductively. This isn't an idle fact; we can resist some challenges to our standing beliefs about these subject matters exactly because the challenges are self-effacing. The self-effacing character of certain arguments is thus both a benefit and limitation of the abductive turn and deserves serious attention. I aim to give it the attention it deserves. (shrink)

As Alan Wood has recently pointed out, there is "a long and strong philosophical traditionthat parcels out cognitive tasks to human faculties in such a way that belief is assigned to the will".1 Such an approach lends itself to addressing the ethics of belief as an extension of practical ethics. It also lends itself to a treatment of reasons for belief that is an extension of its treatment of reasons for action, for our awareness of reasons for action provides (...) the framework within which we make reasonable, and hence morally acceptable, choices. One who holds that agents can make reasonable (and unreasonable) choices in relation to our "cognitive tasks" should, then, also expect that those choices occur in a framework established by our apprehension of reasons for belief. This paper seeks to articulate what an extension of an account of reasons for actions to an account of reasons for belief would look like. I also make some suggestions as to how the ethics of belief might parallel practical ethics. (shrink)

In order to come to your senses, Alan Watts often said, you sometimes need to go out of your mind. Perhaps more than any other teacher in the West, this celebrated author, former Anglican priest, and self-described spiritual entertainer was responsible for igniting the passion of countless wisdom seekers to the spiritual and philosophical delights of India, China, and Japan. With Out of Your Mind, you are invited to immerse yourself in six of this legendary thinker's most engaging teachings (...) on how to break through the limits of the rational mind and expand your awareness and appreciation for the great game unfolding all around us. Distilled from Alan Watts’s pinnacle lectures, Out of Your Mind brings you an inspiring new resource that captures the true scope of this brilliant teacher in action. For those both new and familiar with Watts, this book invites us to delve into his favorite pathways out of the trap of conventional awareness, including: • The art of the “controlled accident”—what happens when you stop taking your life so seriously and start enjoying it with complete sincerity • How we come to believe “the myth of myself”—that we are skin-encapsulated egos separate from the world around us—and how to transcend that illusion • Why we must fully embrace chaos and the void to find our deepest purpose • Unconventional and refreshing insights into the deeper principles of Buddhism, Hinduism, Western philosophy, Christianity, and much more. (shrink)

Evolutionary developmental biology (Evo-devo) is a loose conglomeration of research programs in the life sciences with two main axes: (a) the evolution of development, or inquiry into the pattern and processes of how ontogeny varies and changes over time; and, (b) the developmental basis of evolution, or inquiry into the causal impact of ontogenetic processes on evolutionary trajectories—both in terms of constraint and facilitation. Philosophical issues are found along both axes surrounding concepts such as evolvability, novelty, and modularity. The developmental (...) basis of evolution has garnered much attention because it speaks to the possibility of revising a standard construal of evolutionary theory, but the evolution of development harbors its own conceptual questions. This article addresses the heterogeneity of Evo-devo’s conglomerate structure (including disagreements over its individuation), as well as the concepts and controversies of philosophical interest pertaining to the evolution of development and the developmental basis of evolution. Future research will benefit from a shift away from global theorizing toward the scientific practices of Evo-devo. (shrink)

Allies of those experiencing injustice or oppression face a dilemma: to be neutral in the face of calls to solidarity risks siding with oppressors, yet to speak or act on behalf of others risks compounding the injustice. We identify what we call ‘a normative demand for deference’ (NDD) to those with lived experience as a response to this dilemma. Yet, while the NDD is prevalent, albeit sometimes implicitly so, in contemporary solidarity theory and activist practice, it remains under-theorised. In this (...) article, we analyse the potential benefits of adhering to the NDD, highlighting both a commonly accepted epistemic benefit, and a neglected but important good in bearing witness. Yet adhering to the NDD also raises real challenges. While the literature focuses on a gold standard model of direct engagement, we defend a valuable role for a second-order form of engagement through reading, films, and similar media, which, we argue, is particularly salient for global and transnational solidarity, an important element of contemporary global politics. (shrink)

I propose to consider the question, "Can machines think?" This should begin with definitions of the meaning of the terms "machine" and "think." The definitions might be framed so as to reflect so far as possible the normal use of the words, but this attitude is dangerous, If the meaning of the words "machine" and "think" are to be found by examining how they are commonly used it is difficult to escape the conclusion that the meaning and the answer to (...) the question, "Can machines think?" is to be sought in a statistical survey such as a Gallup poll. But this is absurd. Instead of attempting such a definition I shall replace the question by another, which is closely related to it and is expressed in relatively unambiguous words. The new form of the problem can be described in terms of a game which we call the 'imitation game." It is played with three people, a man (A), a woman (B), and an interrogator (C) who may be of either sex. The interrogator stays in a room apart front the other two. The object of the game for the interrogator is to determine which of the other two is the man and which is the woman. He knows them by labels X and Y, and at the end of the game he says either "X is A and Y is B" or "X is B and Y is A." The interrogator is allowed to put questions to A and B. We now ask the question, "What will happen when a machine takes the part of A in this game?" Will the interrogator decide wrongly as often when the game is played like this as he does when the game is played between a man and a woman? These questions replace our original, "Can machines think?". (shrink)

This compilation offers a unique synthesis of the traditional branches of Eastern thought by drawing upon their historical connections and common foundations in mystical experience.

Co-published with the University of Queensland Press. HPC holds rights in North America and U. S. Dependencies. Since its first publication in 1976, Alan Chalmers's highly regarded and widely read work--translated into eighteen languages--has become a classic introduction to the scientific method, known for its accessibility to beginners and its value as a resource for advanced students and scholars. In addition to overall improvements and updates inspired by Chalmers's experience as a teacher, comments from his readers, and recent developments (...) in the field, this fourth edition features an extensive chapter-long postscript that draws on his research into the history of atomism to illustrate important themes in the philosophy of science. Identifying the qualitative difference between knowledge of atoms as it figures in contemporary science and metaphysical speculations about atoms common in philosophy since the time of Democritus offers a revealing and instructive way to address the question at the heart of this groundbreaking work: What is this thing called science? (shrink)

It is plausible that there are epistemic reasons bearing on a distinctively epistemic standard of correctness for belief. It is also plausible that there are a range of practical reasons bearing on what to believe. These theses are often thought to be in tension with each other. Most significantly for our purposes, it is obscure how epistemic reasons and practical reasons might interact in the explanation of what one ought to believe. We draw an analogy with a similar distinction between (...) types of reasons for actions in the context of activities. The analogy motivates a two-level account of the structure of normativity that explains the interaction of correctness-based and other reasons. This account relies upon a distinction between normative reasons and authoritatively normative reasons. Only the latter play the reasons role in explaining what state one ought to be in. All and only practical reasons are authoritative reasons. Hence, in one important sense, all reasons for belief are practical reasons. But this account also preserves the autonomy and importance of epistemic reasons. Given the importance of having true beliefs about the world, our epistemic standard typically plays a key role in many cases in explaining what we ought to believe. In addition to reconciling (versions of) evidentialism and pragmatism, this two-level account has implications for a range of important debates in normative theory, including the interaction of right and wrong reasons for actions and other attitudes, the significance of reasons in understanding normativity and authoritative normativity, the distinction between ‘formal’ and ‘substantive’ normativity, and whether there is a unified source of authoritative normativity. (shrink)

Including significant passages from The Prince, The Discourses, The Art of War and History of Florence, this illuminating book explores the influence of Machiavelli, who was often reviled as a teacher of evil, on the modern state.

An atheist drawn to religion, Alan Soffin shows how to conceptualize a "God" who is in and of the cosmos rather than also beyond it as theists affirm. This allows Soffin and those who see value in the path he blazes to embrace and value the treasures of religion even while not being theistic" --Provided by publisher.

In a recent paper in this journal, Richard Arneson criticizes the domination account of exploitation and attributes it to me and Allen Wood. In this paper, I defend the domination account against Arneson's criticisms. I begin by showing that the domination view is distinct from the vulnerability-based view defended by Wood. I also show that Alan Wertheimer's influential account of exploitation is congenial to the domination view. I then argue that Arneson's own fairness-based view of exploitation generates false negatives (...) and trivializes the concept of exploitation, rendering it entirely parasitic on the notion of unfairness. (shrink)

Bridging the gap between the world of science and the realm of the spiritual, B. Alan Wallace introduces a natural theory of human consciousness that has its roots in contemporary physics and Buddhism. Wallace's "special theory of ontological relativity" suggests that mental phenomena are _conditioned_ by the brain, but do not _emerge_ from it. Rather, the entire natural world of mind and matter, subjects and objects, arises from a unitary dimension of reality that is more fundamental than these dualities, (...) as proposed by Wolfgang Pauli and Carl Jung. To test his hypothesis, Wallace employs the Buddhist meditative practice of _samatha_, refining one's attention and metacognition, to create a kind of telescope to examine the space of the mind. Drawing on the work of the physicist John Wheeler, he then proposes a more general theory in which the participatory nature of reality is envisioned as a self-excited circuit. In comparing these ideas to the Buddhist theory known as the Middle Way philosophy, Wallace explores further aspects of his "general theory of ontological relativity," which can be investigated by means of _vipasyana_, or insight, meditation. Wallace then focuses on the theme of symmetry in reference to quantum cosmology and the "problem of frozen time," relating these issues to the theory and practices of the Great Perfection school of Tibetan Buddhism. He concludes with a discussion of the general theme of complementarity as it relates to science and religion. The theories of relativity and quantum mechanics were major achievements in the physical sciences, and the theory of evolution has had an equally deep impact on the life sciences. However, rigorous scientific methods do not yet exist to observe mental phenomena, and naturalism has its limits for shedding light on the workings of the mind. A pioneer of modern consciousness research, Wallace offers a practical and revolutionary method for exploring the mind that combines the keenest insights of contemporary physicists and philosophers with the time-honored meditative traditions of Buddhism. (shrink)