We present a method for rejecting competing models from noisy time-course data that does not rely on parameter inference. First we characterize ordinary differential equation models in only measurable variables using differential-algebra elimination. This procedure gives input-output equations, which serve as invariants for time series data. We develop a model comparison test using linear algebra and statistics to reject incorrect models from their invariants. This algorithm exploits the dynamic properties that are encoded in the structure of the model equations without (...) recourse to parameter values, and, in this sense, the approach is parameter-free. We demonstrate this method by discriminating between different models from mathematical biology. (shrink)

For T any completion of Peano Arithmetic and for n any positive integer, there is a model of T of size $\beth_n$ with no (n + 1)-length sequence of indiscernibles. Hence the Hanf number for omitting types over T, H(T), is at least $\beth_\omega$ . (Now, using an upper bound previously obtained by Julia Knight H (true arithmetic) is exactly $\beth_\omega$ ). If T ≠ true arithmetic, then $H(T) = \beth_{\omega1}$ . If $\delta \not\rightarrow (\rho)^{ , then any completion of (...) Peano Arithmetic has a model of size δ with no set of indiscernibles of size ρ. There are similar results for theories strongly resembling Peano Arithmetic, e.g., ZF + V = L. (shrink)

The luminaries of late thirteenth-century Europe took great interest in the mysterious fifth-century author known as Dionysius the Areopagite. They typically read Dionysius not in the original Greek, but in a Latin edition prepared sometime in the middle of the thirteenth century. This edition, which appeared first in Paris and later circulated all over Western Europe, was no mere translation. In addition to the famous translation made by Eriugena in the ninth century, it contained translations of scholia on the Dionysian (...) texts made by Anastasius the Librarian, alternative readings provided by Anastasius and other Latin readers, as well as excerpts from Eriugena's own theological masterwork, the Periphyseon. University scholars such as Albert the Great and Thomas Aquinas thus learned Dionysian mystical theology not only from his text, but from the seven-hundred year interpretive tradition that literally surrounded it on the page. (shrink)

The Dionysian corpus makes virtually no statement about the authority of kings or the structure of nations, but it has nevertheless repeatedly been the subjectof political analysis. Several scholars have recently sketched out a Dionysian politics by drawing analogies between the Dionysian church and the city, and between the Dionysian bishop and the emperor. These analogies are of limited usefulness. They show that Dionysius does employ Platonic political language to describe the ecclesiastical hierarchy, but they risk overlooking or downplaying the (...) hierarchy’s non-temporal, and therefore non-political, activity. A more fruitful ground for developing a Dionysian politics may be found in his brief discussion of the legal hierarchy, which provides practical instruction for action in the temporal realm without direct reference to the contemplative activity of the church. (shrink)

Apparently alone among medieval Christians, Eriugena argues that all life is immortal. He relies on Plato’s Timaeus as his primary source for this claim, but he modifies the argument of the Timaeus considerably. He turns Plato’s cosmic soul into the genus of life, thereby taking a treatise that originally dealt with cosmology and using it to explore the ontological significance of definition. All species that fall under the genus of life must be immortal, because a mortal species would contradict the (...) genus. No later medieval author would take up Eriugena’s arguments explicitly, although Aquinas comes close. The two thirteenth-century thinkers to address universal immortality seriously—Aquinas and Bonaventure—argue against it, but they are more faithful than Eriugena himself to a literal reading of the Timaeus. (shrink)

This book is a translation of a key commentary on the Book of Changes, or Yijing, perhaps the most broadly influential text of classical China. The Yijing first appeared as a divination text in Zhou-dynasty China and later became a work of cosmology, philosophy, and political theory as commentators supplied it with new meanings. While many English translations of the Yijing itself exist, none are paired with a historical commentary as thorough and methodical as that written by the Confucian scholar (...) Cheng Yi, who turned the original text into a coherent work of political theory. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Clement of AlexandriaL. Michael HarringtonEric Osborn. Clement of Alexandria. Cambridge-New York: Cambridge University Press, 2005. Pp. xviii + 324. Cloth, $85.00.With Clement of Alexandria, Eric Osborn returns to the subject of his 1957 book, The Philosophy of Clement of Alexandria, but its style and themes more closely resemble his more recent studies of second-century Christian thinkers: Tertullian, First Theologian of the West (Cambridge, 1997) and Irenaeus of Lyons (...) (Cambridge, 2001). Osborn's Clement, Tertullian, and Irenaeus are bound together by more than the century in which they happened to live. They share an optimism—a confidence that the world is finally comprehensible—and an argumentative theology, developed in response to the Gnostics, who, Osborn says in his book on Irenaeus, "were strong on picture and myth but weak on argument" (xiii).Osborn's approach to Clement is, as he describes it, analytic or problematic, meaning that "we simply ask what problems forced Clement to write and where he found Christian teaching in need of elucidation" (xii-xiii). Three problems concern Clement: (1) "how can the narrative of the kerygma (what God does) be translated into a metaphysic (who God is)?"; (2) "how two distinct beings, father and son, constitute one God"; and (3) "an answer had to be found for those who divided faith and knowledge." Each problem is addressed by means of a theme—divine economy for the first, reciprocity for the second, and salvation by faith for the third—and each of the book's three major parts devotes itself to one of these themes.Having laid out this systematic division, Osborn generally follows the logic of Clement's own thought rather than an imposed structure, developing his argument by careful collation and paraphrase. As a result, by the end of the book, the reader will feel thoroughly and effortlessly initiated in Clement's major works: the Protrepticus, the Paedagogus, and the Stromateis. The book thus serves as a thorough introduction to Clement, without aiming so low that it is of no interest to the scholar.Osborn's central argument unfolds from his observation that "Clement, more than any other early Christian writer, knew and enjoyed Greek philosophy and literature" (2). Clement defends the rationality shared between Christians and Greeks against the irrationalists of his time: the theosophers, or Gnostics (215). Osborn, in turn, defends Clement against the irrationalists of our own time, represented in his book by Wolfhart Pannenberg. The "divine irrational freedom" praised by Pannenberg is replaced in Osborn's Irenaeus and Clement by "universal wisdom" (47). The universality of wisdom allows great and dispassionate natures to reach the truth—whether they are Christians or Greeks—though each is like one limb of the truth, severed from the rest. Convinced that Christ will reunite these disiecta membra, "Clement converses with them and joins their broken lights" (104).In footnotes and parenthetical references throughout the book, Osborn argues against the approaches to Clement in doxography and Discourse Power theory, precisely because they are unable to treat him as a philosopher (79). The doxographer can show Clement's dependence on earlier philosophers, but is unable to see how he differs from them (xii). The Discourse Power theorist can see that Clement's system differs from the Gnostic system, but is able to explain the difference only as a competition between two social structures, without seeing that only one of them aspires to logical coherence (215).This dismissal of doxography and Discourse Power theory may strike the reader as too thoroughgoing, especially if we distinguish, as Osborn himself does in his book on Tertullian, philosophy as "a matter of system and speculation" from philosophy as "a matter of argument" (198). Clement's optimism depends on his confidence in system and speculation, in so far as they can be defended by argument. But if argument can defend two different systems equally well, then we may wonder why Clement chooses the system he does. Here the doxographer, who can show the provenance of his thought, becomes essential, as does the Discourse Power theorist, who can set Clement's choice of system in the context of the contemporary social fabric that inevitably affects even the... (shrink)

This article asserts the need for the ethical analysis of regulatory policy. The article explores the conventional wisdom surrounding the proper role of government, the function of law, the role of lawmakers, the nature of business, and the relationship between business and government. It is the traditional thinking regarding these fundamental aspects of our social life which creates barriers to the ethical analysis of regulatory policy. It is argued that, in spite of the persistence of agency theories of the firm, (...) a stakeholder theory of the firm best approximates a true descriptive and normative view of business organizations. If the role of government is to maximize the full range of public — private relationships for any given series of inputs, and the role of the firms is to maximize the balance of diverse stakeholders' interests, then a stakeholders' interests paradigm becomes the natural foundation for the ethical analysis of policies which regulate business. (shrink)

_Purpose._ The purpose of the article lies in studying the main socio-anthropological measurements of the problem of recognition represented primarily by the philosophy of recognition of Alex Honneth, which is actualized by the struggle of the Ukrainian people for their existence and national-cultural recognition. A consistent analysis of the communicative paradigm in contemporary philosophy led to the understanding of its transformation into the reality of the problem of recognition and the identification of the main forms of recognition in it, which (...) determine an individual’s perception of the social space as fair or unfair, where his dignity is disrespected. _Theoretical basis._ Turning to the works of Jurgen Habermas, Otfried Hoeffe, Ernst Tugendhat, Stefan Gosepath, and Thomas Rentsch made it possible to supplement the mainly procedural, theoretical-communicative way of philosophizing with a philosophical-anthropological, existential, contextual principle of awareness of recognition as a fundamental principle of justice and the understanding that the brutal, unjust destruction of the "living world" of a person and the state is synonymous with their physical destruction. The thesis of Francis Fukuyama about the relationship between the desire for recognition and human dignity inherent in human nature has acquired an important theoretical and methodological meaning. _Originality._ The article investigates the modern philosophical discourse of the problem of recognition in the socio-anthropological measurements, in the context of the relationship between recognition, the "living world" and justice, non-recognition, humiliation of human dignity, and injustice. And it was also found that the image of recognition represented by modern philosophical thought, as a horizon and condition of human existence, is based on the following components: justice, solidarity, dignity, and care. Exactly addressing the problem of recognition made it possible to answer the question about the anthropological-ontological, existential meaning of the desire of individuals, nations, and states for recognition and outline the ways of transforming recognition as a variant of "communicative utopia" into a real socio-cultural project. _Conclusions._ In contrast to justice, the theory of recognition comes from asymmetrical human relations, which, in the struggle for recognition, must become symmetrical. Although justice takes precedence over ethics of care and recognition, they are not actually in competition with each other, but belong to different but complementary dimensions of human existence. The perspective of philosophical understanding of the problem of recognition itself requires the deepening of its analysis with an existential-anthropological understanding rooted in a new, tragic life experience. Only under such conditions, it is possible to overcome the gap between often abstract philosophical reflections and real personal and social practices. (shrink)

A commitment to truth requires that you are open to receiving new evidence, even if that evidence contradicts your current beliefs. You should be open to changing your mind. However, this truism gives rise to the paradox of empathy. The paradox arises with the possibility of mental corruption through transformative change, and has consequences for how we should understand tolerance, disagreement, and the ability to have an open mind. I close with a discussion of how understanding this paradox provides a (...) new explanation for a certain kind of standoff between the believer and the skeptic with regard to religious belief. (shrink)

Книга содержит результаты многолетних исследований проблемы диалога и синтеза различных познавательных практик в социальных и гуманитарных науках.

David Hume's Treatise of Human Nature, composed before the author was twenty-eight years old, was published in 1739 and 1740. In revising the late L.A. Selby-Bigge's edition of Hume's Treatise Professor Nidditch corrected verbal errors and took account of Hume's manuscript amendments. He also supplied the text of theof the Treatise following the original 1740 edition and provided an apparatus of variant readings.

Involuntary civil commitment to treatment for opioid use disorder prevents imminent overdose, but also restricts autonomy and raises other ethical concerns. Using the Kass Public Health Ethics Framework, we identified ICC benefits and harms. Benefits include: protection of vulnerable, underserved patients; reduced legal consequences; resources for families; and “on-demand” treatment access. Harms include: stigmatizing and punitive experiences; heightened family conflict and social isolation; eroded patient self-determination; limited or no provision of OUD medications; and long-term overdose risk. To use ICC ethically, (...) it should be recognized as comprising vulnerable patients worthy of added protections; be a last resort option; utilize consensual, humanizing processes; provide medications and other evidence-based-treatment; integrate with existing healthcare systems; and demonstrate effective outcomes before diffusion. ICC to OUD treatment carries significant potential harms that, if unaddressed, may outweigh its benefits. Findings can inform innovations for ensuring that ICC is used in an ethically responsible way. (shrink)

This incisive book deals with the use of the criminal law to enforce morality, in particular sexual morality, a subject of particular interest and importance since the publication of the Wolfenden Report in 1957. Professor Hart first considers John Stuart Mill's famous declaration: "The only purpose for which power can be rightfully exercised over any member of a civilized community is to prevent harm to others." During the last hundred years this doctrine has twice been sharply challenged by two great (...) lawyers: Sir James Fitzjames Stephen, the great Victorian judge and historian of the common law, and Lord Devlin, who both argue that the use of the criminal law to enforce morality is justified. The author examines their arguments in some detail, and sets out to demonstrate that they fail to recognize distinction of vital importance for legal and political theory, and that they espouse a conception of the function of legal punishment that few would now share. (shrink)