It has been known for some time that there is a primitive recursive permutation of the nonnegative integers whose inverse is recursive but not primitive recursive. For example one has this result apparently for the first time in Kuznecov [1] and implicitly in Kent [2] or J. Robinson [3], who shows that every singularly recursive function ƒ is representable aswhere A, B, C are primitive recursive and B is a permutation.

At least since Descartes, philosophers have been interested in the special knowledge or authority that we exhibit when we speak about our own thoughts, attitudes, and feelings. This book contends that even the best work in contemporary philosophy of mind fails to account for this sort of knowledge or authority because it does not pay the right sort of attention to the notion of expression. What's at stake is not only how to understand self-knowledge and first-person authority, but also what (...) it is that distinguishes conscious from unconscious psychological states, what the mental life of a nonlinguistic animal has in common with our sort of mental life, and how to think about Wittgenstein's legacy to the philosophy of mind. (shrink)

This biography of Emil du Bois-Reymond, the most important forgotten intellectual of the nineteenth century, received an Honorable Mention for History of Science, Medicine, and Technology at the 2013 PROSE Awards, was shortlisted for the 2014 John Pickstone Prize (Britain's most prestigious award for the best scholarly book in the history of science), and was named by the American Association for the Advancement of Science as one of the Best Books of 2014. -/- In his own time (1818–1896) du Bois-Reymond (...) grew famous for his groundbreaking research in neuroscience and his provocative addresses on politics and culture. His discovery of the electrical transmission of nerve signals, his innovations in laboratory instrumentation, and his reductionist methodology all helped lay the foundations of modern neuroscience. -/- In addition to describing the pioneering experiments that earned du Bois-Reymond a seat in the Prussian Academy of Sciences and a professorship at the University of Berlin, this book also recounts du Bois-Reymond’s family origins, private life, public service, and lasting influence. In talks that touched on science, philosophy, history, and literature, du Bois-Reymond introduced Darwin to German students (triggering two days of debate in the Prussian parliament), asked on the eve of the Franco-Prussian War whether France had forfeited its right to exist, and proclaimed the mystery of consciousness, heralding the age of doubt. The first modern biography in any language, "Emil du Bois-Reymond" recovers an important chapter in the history of science, the history of ideas, and the history of Germany. (shrink)

Professeur Finkelstein avait posée la question, pourquoi, bien que leurs réalisations scientifiques et leur scientifique approche soient similaires, Bernard était beaucoup plus connu dans son pays, France, et à son époque, que Bois-Reymond en Allemagne? Une question similaire a été posée au sujet du pourquoi Darwin est connu pour la théorie de l'évolution, tandis que Wallace a été remis en arrière-fond dans leur temps et dans l'histoire. Selon Finkelstein, la cause de la differences entre Bois-Reymond et Bernard, peut (...) être trouvée dans la culture et la place de la science dans l'œil public en France contre les memes choses en Allemagne. C'est-à-dire, la rhétorique de la science a été plus respectée en France qu'en Allemagne, ce que Finkelstein a soutenu avec persuasion et éloquence. (shrink)

A definition is proposed to give precise meaning to the counterfactual statements that often appear in discussions of the implications of quantum mechanics. Of particular interest are counterfactual statements which involve events occurring at space-like separated points, which do not have an absolute time ordering. Some consequences of this definition are discussed.

The controversy surrounding targeted killings represents a crisis of conscience for policymakers, lawyers, philosophers and leading military experts grappling with the moral and legal limits of the war on terror. The book examines the legal and philosophical issues raised by government efforts to target suspected terrorists without giving them the safeguards of a fair trial.

:In his famous book Just and Unjust Wars, Michael Walzer articulates a thesis he calls the “Moral Equality of Soldiers,” namely, the principle that combatants have an equal right to kill other combatants in war, regardless of the justice of the cause for which they are fighting. The Moral Equality Thesis, as I shall call it, is an essential component of traditional Just War Theory, in that it provides the basis for distinguishing the jus in bello from the jus ad (...) bellum. It also plays a crucial role in identifying the nature of the difference between combatants and civilians. The Moral Equality Thesis has recently come under attack by scholars of Just War Theory, notably philosopher Jeff McMahan, on the grounds that killing for immoral purposes cannot be justified, and so it cannot be true that combatants all have an equal right to kill, regardless of the justice of their cause. In this essay, I defend the Moral Equality Thesis in its traditional formulation. Without it, I argue, the rule of law would not apply in war. The failure to recognize the equal right of combatants to kill in war, I suggest, creates an inconsistency between the rules of war and basic concepts in the law and morality of self-defense, an inconsistency that McMahan himself would think undesirable. I argue that McMahan’s argument applies more compellingly to armed conflict in asymmetrical warfare. Arguably, the Moral Equality Thesis does not apply in an armed conflict between combatants and unlawful combatants. In that context, the divergence from the law and morality of self-defense is less of a concern. View HTML Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.KILLING IN WAR AND THE MORAL EQUALITY THESISVolume 32, Issue 2Claire Finkelstein DOI: https://doi.org/10.1017/S0265052516000169Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. KILLING IN WAR AND THE MORAL EQUALITY THESISVolume 32, Issue 2Claire Finkelstein DOI: https://doi.org/10.1017/S0265052516000169Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. KILLING IN WAR AND THE MORAL EQUALITY THESISVolume 32, Issue 2Claire Finkelstein DOI: https://doi.org/10.1017/S0265052516000169Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

On a view that emerges from the “law and economics movement,” the purpose of law is to ensure that when individual citizens seek to maximize their individual utility, they will incidentally maximize society’s utility; the law ideally provides individual agents with incentives for efficient behavior. Finkelstein argues that laws that maximize social utility are not necessarily the best legal rules for individuals that seek to maximize their personal utility. In particular, she suggests that ideally rational individuals would be unlikely (...) to select the principle of utility maximization as the basis for choosing ideal legal rules. If Finkelstein is correct, the assumption that human beings are rational utility maximizers would have very different consequences from those that legal economists have identified. Rational actor theory would be more likely to lead us to justify legal rules structured around contractarian principles, i.e., principles of agreement, than around the principle of utility maximization. (shrink)

Law and morals in the Hebrew Scriptures, Plato, and Aristotle, by M. R. Konvitz.--The ethics of the Pharisees, by L. Finkelstein.--Doubts about justice, by W. Kaufmann.--Law and disorder: Some reflections on the political philosophy of Edmond Cahn, by D. D. Williams.--Ethics and business, by P. Sporn.--Mission and opportunity: religion in a pluralistic culture, by R. Niebuhr.--Reflections on over-population, by C. Merrill.--Ethical issues in psychotherapy, by N. W. Ackerman.--Drama: a mirror of conflict, by E. M. Jackson.--Toward a new cultural federalism, (...) by E. Warren. (shrink)

This article examines the science of electrophysiology developed by Emil du Bois-Reymond in Berlin in the 1840s. In it I recount his major findings, the most significant being his proof of the electrical nature of nerve signals. Du Bois-Reymond also went on to detect this same ‘negative variation’, or action current, in live human subjects. In 1850 he travelled to Paris to defend this startling claim. The essay concludes with a discussion of why his demonstration failed to convince his hosts (...) at the French Academy of Sciences. (shrink)

The German pioneer of electrophysiology, Emil du Bois-Reymond (1818–1896), is generally assumed to have remained silent on the subject of the brain. However, the archive of his papers in Berlin contains manuscript notes to a lecture on “The Seat of the Soul” that he delivered to popular audiences in 1884 and 1885. These notes demonstrate that cerebral localization and brain function in general had been concerns of his for quite some time, and that he did not shy away from these (...) subjects. (shrink)

Ernst Haeckel and Emil du Bois-Reymond were the most prominent champions of Darwin in Germany. This essay compares their contributions to popularizing the theory of evolution, drawing special attention to the neglected figure of du Bois-Reymond as a spokesman for a world devoid of natural purpose. It suggests that the historiography of the German reception of Darwin’s theory needs to be reassessed in the light of du Bois-Reymond’s Lucretian outlook.

Biomedicine's technological achievements also provide for the expansion of medicine's role as an agent of social regulation.

A language for quantum physics is derived from set theory by replacing the classical predicate algebra (Boolean) by a certain quantum predicate algebra (rational projective), time space and the Hamilton-Schroedinger dynamics by a Feynman-like graph dynamics, and the Dirac spin operators by topological switching operators on the graph. The development is described from the basic level of elementary monadic processes to the level of the free Dirac equation.

This essay considers a long-standing controversy between two nineteenth century pioneers in electrophysiology: the German scientist Emil du Bois-Reymond (1818-1896), and his Italian rival Carlo Matteucci (1811-1868). Historians have generally described their disagreement in du Bois-Reymond’s terms: the product of a contrast in scientific outlook. While not discounting this interpretation, I want to suggest that the controversy was driven as much by the rivals’ similarity as it was by their difference.

Emil du Bois-Reymond (1818-1896) complicates the historiography of the reception of Darwinism. His presentation of the theory was anti-teleological, a fact that refutes the claim that German Darwinists were Romantic.

This essay recounts a controversy between a pioneer electrophysiologist, Emil du Bois-Reymond (1818–1896), and his student, Ludimar Hermann (1838–1914). Du Bois-Reymond proposed a molecular explanation for the slight electrical currents that he detected in frog muscles and nerves. Hermann argued that du Bois-Reymond's ‘resting currents’ were an artifact of injury to living tissue. He contested du Bois-Reymond's molecular model, explaining his teacher's observations as electricity produced by chemical decomposition. History has painted Hermann as the wronged party in this dispute. I (...) seek to set the record straight. (shrink)

A talk delivered at the conference “Science and Religion: The Religious Beliefs and Practices of Scientists—20th Century,” Institut für Wissenschaftsgeschichte, Georg-August-Universität, Göttingen, 28 May 2002.

Triumphalist histories of science are nothing new but were, in fact, a staple of the 19th century. This article considers one of the more famous works in the genre and argues that it was motivated by doubt more than by faith.

A ‘late developer’ argument, common to Psychology and Economic History, can be used to explain cultural innovation. It argues that the 19th century theory of natural selection arose in England and not Germany because of – and not in spite of – England’s scientific backwardness. Measured in terms of institutions, communities, and ideas, the relative retardation of English science was precisely what enabled it to adopt German advances in novel ways.

Summary of the major innovations of Emil du Bois-Reymond (1818-1896).

Why race persists as an idea despite its scientific inutility.

Backstory of "The Man Who Would Be King." A meditation on the limits of scientific and historical representation.

Claude Bernard (1813–1878) and Emil du Bois-Reymond (1818–1896) rank as two of the most influential scientists of the nineteenth century. Renowned for their experiments, lectures, and writing, Bernard and du Bois-Reymond earned great prestige as professors of physiology in a time when Paris and Berlin reigned as capitals of science. Yet even though they were equals in every way, du Bois-Reymond’s reputation has fallen far more than Bernard’s. This essay compares aspects of the two men’s attitudes to philosophy, history, and (...) biology in an attempt to explain why Bernard remains the better known. The answer lies less in the value of du Bois-Reymond’s contributions than in the way that science is remembered in France and Germany. (shrink)

Present physics is a mix of theories of time, logic, and matter. These may have a common origin in a unitary quantum cosmology founded on process alone. A quantum theory of sets, or something like it, is helpful for such a cosmology, and one is constructed by adding superposition to a slightly reformulated classical set theory. There is an elementary or atomic process in such theories. The size of its characteristic time is estimated from the mass spectrum, although this gives (...) a much larger time than is usually accepted. In a discussion of the foundations of quantum theory, the problem of the collapsing state-vector is attributed to statism, the ideology, alien to quantum theory, that the system under study has a state. The origin of metrical and gauge structure is considered. Using von Neumann's work on the lattices of algebras, we may represent almost any gauge structure by enlarging the ring of c-numbers of quantum theory beyond the complex (or quaternion) field. Ultimately the gauge structure and c-numbers may express a transport relation defined by the discrete network of the world. (shrink)

This chapter contains section titled: What is a Theory of Punishment? Deterrence Theories of Punishment Retributivist Theories of Punishment The Contractarian Alternative Notes References.