Results for 'Richard A. Hilbert'

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  1.  50
    Anomie and the moral regulation of reality: The Durkheimian tradition in modern relief.Richard A. Hilbert - 1986 - Sociological Theory 4 (1):1-19.
  2.  53
    Anomie and the moral regulation of reality: The Durkheimian tradition in modern relief.Richard A. Hilbert - 1986 - Sociological Theory 4 (1):1.
  3.  27
    Toward an improved understanding of “role”.Richard A. Hilbert - 1981 - Theory and Society 10 (2):207-226.
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  4.  26
    Garfinkel's recovery of themes in classical sociology.Richard A. Hilbert - 1995 - Human Studies 18 (2-3):157 - 175.
    In order to derive functionalism from Durkheim and Weber, Parsons had to openly break with some twenty of their theoretical assertions. Express rejections of classical themes lie at the foundation of functionalist sociology. This very foundation is what came unglued by Garfinkel's empirical studies of Parsonian social dynamics. In correcting the inadequacies of functionalism, many of the themes rejected by Parsons have been inadvertently resurrected and developed by ethnomethodologists, albeit in altered form. This is not to say that Garfinkel and (...)
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  5. Bureaucracy as belief, rationalization as repair: Max Weber in a post-functionalist age.Richard A. Hilbert - 1987 - Sociological Theory 5 (1):70-86.
    Weber's discussion of bureaucracy is generally taken as descriptive of organized social structure within a rational-legal society. This is understandable; yet elsewhere in Weber's sociology he cautions against precisely this kind of analysis. His counsel against reification, his emphasis upon subjective ideas standing behind social action, his characterization of "society" as subjective orientation to legitimacy, his discussion of organization and social relationships as probabilities of behavior in accordance with subjective belief in their existence, and his tendency to describe the wide (...)
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  6.  30
    Norman and Sigmund: Comment on Denzin's "Harold and Agnes".Richard A. Hilbert - 1991 - Sociological Theory 9 (2):264-268.
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  7.  77
    The anomalous foundations of dream telling: Objective solipsism and the problem of meaning. [REVIEW]Richard A. Hilbert - 2010 - Human Studies 33 (1):41-64.
    Little sociological attention is directed to dreams and dreaming, and none at all is directed to how people tell one another about dreams. Ordinary settings in which dreams are told mimic the conditions of “breaching” experiments and should produce anomie, but dream telling proceeds without trouble. Foundational orientations of ordinary dream talk assimilate into professional dream studies, where dream narratives are “data” and the analysis of narratives is “dream analysis.” That such practices proceed without trouble poses some interesting problems for (...)
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  8. Hermann Weyl's Mathematics, Science and Phenomenology.Richard A. Feist - 1999 - Dissertation, The University of Western Ontario (Canada)
    The work addresses the problem of the relationship between science and philosophy in the work of Hermann Weyl. The author begins by discussing Weylls Gottingen tradition. Contrary to standard accounts of this tradition, Edmund Husserl and Georg Cantor are included. The influence of this tradition on Weyl is then illustrated by an examination of Weyl's early philosophy of mathematics. Here Weyl attempts to use Husserl's early phenomenology to amalgamate the thought of Felix Klein, David Hilbert and Cantor. Weyl's "phenomenological (...)
     
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  9. Logic in mathematics and computer science.Richard Zach - forthcoming - In Filippo Ferrari, Elke Brendel, Massimiliano Carrara, Ole Hjortland, Gil Sagi, Gila Sher & Florian Steinberger (eds.), Oxford Handbook of Philosophy of Logic. Oxford, UK: Oxford University Press.
    Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, but (...)
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  10. Completeness before Post: Bernays, Hilbert, and the development of propositional logic.Richard Zach - 1999 - Bulletin of Symbolic Logic 5 (3):331-366.
    Some of the most important developments of symbolic logic took place in the 1920s. Foremost among them are the distinction between syntax and semantics and the formulation of questions of completeness and decidability of logical systems. David Hilbert and his students played a very important part in these developments. Their contributions can be traced to unpublished lecture notes and other manuscripts by Hilbert and Bernays dating to the period 1917-1923. The aim of this paper is to describe these (...)
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  11. The practice of finitism: Epsilon calculus and consistency proofs in Hilbert's program.Richard Zach - 2003 - Synthese 137 (1-2):211 - 259.
    After a brief flirtation with logicism around 1917, David Hilbertproposed his own program in the foundations of mathematics in 1920 and developed it, in concert with collaborators such as Paul Bernays andWilhelm Ackermann, throughout the 1920s. The two technical pillars of the project were the development of axiomatic systems for everstronger and more comprehensive areas of mathematics, and finitisticproofs of consistency of these systems. Early advances in these areaswere made by Hilbert (and Bernays) in a series of lecture courses (...)
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  12. Numbers and functions in Hilbert's finitism.Richard Zach - 1998 - Taiwanese Journal for History and Philosophy of Science 10:33-60.
    David Hilbert's finitistic standpoint is a conception of elementary number theory designed to answer the intuitionist doubts regarding the security and certainty of mathematics. Hilbert was unfortunately not exact in delineating what that viewpoint was, and Hilbert himself changed his usage of the term through the 1920s and 30s. The purpose of this paper is to outline what the main problems are in understanding Hilbert and Bernays on this issue, based on some publications by them which (...)
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  13. Hilbert’s Finitism: Historical, Philosophical, and Metamathematical Perspectives.Richard Zach - 2001 - Dissertation, University of California, Berkeley
    In the 1920s, David Hilbert proposed a research program with the aim of providing mathematics with a secure foundation. This was to be accomplished by first formalizing logic and mathematics in their entirety, and then showing---using only so-called finitistic principles---that these formalizations are free of contradictions. ;In the area of logic, the Hilbert school accomplished major advances both in introducing new systems of logic, and in developing central metalogical notions, such as completeness and decidability. The analysis of unpublished (...)
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  14. Hilbert's program then and now.Richard Zach - 2002 - In Dale Jacquette (ed.), Philosophy of Logic. Malden, Mass.: North Holland. pp. 411–447.
    Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbert proposed a two-pronged approach in 1921: first, classical mathematics should be formalized in axiomatic systems; second, using only restricted, “finitary” means, one should give proofs of the consistency of these axiomatic systems. Although Gödel’s incompleteness theorems show that the program as originally conceived cannot be carried out, it had (...)
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  15. Hilbert’s Program.Richard Zach - 2014 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. Stanford, CA: The Metaphysics Research Lab.
    In the early 1920s, the German mathematician David Hilbert (1862–1943) put forward a new proposal for the foundation of classical mathematics which has come to be known as Hilbert's Program. It calls for a formalization of all of mathematics in axiomatic form, together with a proof that this axiomatization of mathematics is consistent. The consistency proof itself was to be carried out using only what Hilbert called “finitary” methods. The special epistemological character of finitary reasoning then yields (...)
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  16.  18
    Hilbert's tenth problem for weak theories of arithmetic.Richard Kaye - 1993 - Annals of Pure and Applied Logic 61 (1-2):63-73.
    Hilbert's tenth problem for a theory T asks if there is an algorithm which decides for a given polynomial p() from [] whether p() has a root in some model of T. We examine some of the model-theoretic consequences that an affirmative answer would have in cases such as T = Open Induction and others, and apply these methods by providing a negative answer in the cases when T is some particular finite fragment of the weak theories IE1 or (...)
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  17.  48
    Hilbert's 'Verunglückter Beweis', the first epsilon theorem, and consistency proofs.Richard Zach - 2004 - History and Philosophy of Logic 25 (2):79-94.
    In the 1920s, Ackermann and von Neumann, in pursuit of Hilbert's programme, were working on consistency proofs for arithmetical systems. One proposed method of giving such proofs is Hilbert's epsilon-substitution method. There was, however, a second approach which was not reflected in the publications of the Hilbert school in the 1920s, and which is a direct precursor of Hilbert's first epsilon theorem and a certain "general consistency result" due to Bernays. An analysis of the form of (...)
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  18. Gödel's path from the incompleteness theorems (1931) to phenomenology (1961).Richard Tieszen - 1998 - Bulletin of Symbolic Logic 4 (2):181-203.
    In a lecture manuscript written around 1961, Gödel describes a philosophical path from the incompleteness theorems to Husserl's phenomenology. It is known that Gödel began to study Husserl's work in 1959 and that he continued to do so for many years. During the 1960s, for example, he recommended the sixth investigation of Husserl's Logical Investigations to several logicians for its treatment of categorial intuition. While Gödel may not have been satisfied with what he was able to obtain from philosophy and (...)
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  19. Qualia space.Richard P. Stanley - 1999 - Journal of Consciousness Studies 6 (1):49-60.
    We define qualia space Q to be the space of all possible conscious experience. For simplicity we restrict ourselves to perceptual experience only, though other kinds of experience could also be considered. Qualia space is a highly idealized concept that unifies the perceptual experience of all possible brains. We argue that Q is a closed pointed cone in an infinite-dimensional separable real topological vector space. This quite technical structure can be explained for the most part in a simple, intuitive way. (...)
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  20. Heinrich Behmann’s 1921 lecture on the decision problem and the algebra of logic.Paolo Mancosu & Richard Zach - 2015 - Bulletin of Symbolic Logic 21 (2):164-187.
    Heinrich Behmann (1891-1970) obtained his Habilitation under David Hilbert in Göttingen in 1921 with a thesis on the decision problem. In his thesis, he solved - independently of Löwenheim and Skolem's earlier work - the decision problem for monadic second-order logic in a framework that combined elements of the algebra of logic and the newer axiomatic approach to logic then being developed in Göttingen. In a talk given in 1921, he outlined this solution, but also presented important programmatic remarks (...)
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  21. The Epsilon Calculus.Jeremy Avigad & Richard Zach - 2014 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. Stanford, CA: The Metaphysics Research Lab.
    The epsilon calculus is a logical formalism developed by David Hilbert in the service of his program in the foundations of mathematics. The epsilon operator is a term-forming operator which replaces quantifiers in ordinary predicate logic. Specifically, in the calculus, a term εx A denotes some x satisfying A(x), if there is one. In Hilbert's Program, the epsilon terms play the role of ideal elements; the aim of Hilbert's finitistic consistency proofs is to give a procedure which (...)
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  22. Le quantificateur effini, la descente infinie et les preuves de consistance de Gauthier. [REVIEW]Richard Zach - 2004 - Philosophiques 31 (1):221-224.
    Internal Logic brings together several threads of Yvon Gauthier's work on the foundations of mathematics and revisits his attempt to, as he puts it, radicalize Hilbert's Program. A radicalization of Hilbert's Program, I take it, is supposed to take Hilberts' finitary viewpoint more seriously than other attempts to salvage Hilbert's Program have. Such a return to the "roots of Hilbert's metamathematical idea" will, so claims Gauthier, enable him to save Hilbert's Program.
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  23.  12
    How brave a new world?: dilemmas in bioethics.Richard A. McCormick - 1981 - Washington, D.C.: Georgetown University Press.
  24. The Epsilon Calculus and Herbrand Complexity.Georg Moser & Richard Zach - 2006 - Studia Logica 82 (1):133-155.
    Hilbert's ε-calculus is based on an extension of the language of predicate logic by a term-forming operator εx. Two fundamental results about the ε-calculus, the first and second epsilon theorem, play a rôle similar to that which the cut-elimination theorem plays in sequent calculus. In particular, Herbrand's Theorem is a consequence of the epsilon theorems. The paper investigates the epsilon theorems and the complexity of the elimination procedure underlying their proof, as well as the length of Herbrand disjunctions of (...)
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  25. Epsilon theorems in intermediate logics.Matthias Baaz & Richard Zach - 2022 - Journal of Symbolic Logic 87 (2):682-720.
    Any intermediate propositional logic can be extended to a calculus with epsilon- and tau-operators and critical formulas. For classical logic, this results in Hilbert’s $\varepsilon $ -calculus. The first and second $\varepsilon $ -theorems for classical logic establish conservativity of the $\varepsilon $ -calculus over its classical base logic. It is well known that the second $\varepsilon $ -theorem fails for the intuitionistic $\varepsilon $ -calculus, as prenexation is impossible. The paper investigates the effect of adding critical $\varepsilon $ (...)
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  26.  22
    How Can Evolution Learn?Richard A. Watson & Eörs Szathmáry - 2016 - Trends in Ecology and Evolution 31 (2):147--157.
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  27.  43
    The breakdown of cartesian metaphysics.Richard A. Watson - 1963 - Journal of the History of Philosophy 1 (2):177-197.
    In lieu of an abstract, here is a brief excerpt of the content:The Breakdown of C i M phy " artes an eta sacs RICHARD A. WATSON WITHIN CARTESIANISMthere arose many problems deriving from conflicts between Cartesian principles. Inadequate attempts to solve these problems were crucial reasons for the breakdown of Cartesian metaphysics in the late seventeenth and early eighteenth centuries. The major difficulties derived from the acceptance of a dualism of substances seated in a system which included epistemological (...)
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  28. Truest blue.A. Byrne & D. R. Hilbert - 2007 - Analysis 67 (1):87-92.
    1. The “puzzle” Physical objects are coloured: roses are red, violets are blue, and so forth. In particular, physical objects have fine-grained shades of colour: a certain chip, we can suppose, is true blue (unique, or pure blue). The following sort of scenario is commonplace. The chip looks true blue to John; in the same (ordinary) viewing conditions it looks (slightly) greenish-blue to Jane. Both John and Jane are “normal” perceivers. Now, nothing can be both true blue and greenish-blue; since (...)
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  29. A schema theory of discrete motor skill learning.Richard A. Schmidt - 1975 - Psychological Review 82 (4):225-260.
  30.  51
    Altered vision near the hands.Richard A. Abrams, Christopher C. Davoli, Feng Du, William H. Knapp & Daniel Paull - 2008 - Cognition 107 (3):1035-1047.
  31. Metaepistemology and Skepticism.Richard A. Fumerton - 1995 - Rowman & Littlefield.
    ... and Normative Epistemology The Distinction Between Metaepistemology and Normative Epistemology Although this terminology is relatively new, ...
  32.  94
    Shadow history in philosophy.Richard A. Watson - 1993 - Journal of the History of Philosophy 31 (1):95-109.
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  33.  15
    Motor-output variability: A theory for the accuracy of rapid motor acts.Richard A. Schmidt - 1979 - Psychological Review 86 (5):415-451.
  34.  46
    Cogito, ergo sum: the life of René Descartes.Richard A. Watson - 2002 - Boston: David R. Godine.
    Rene Descartes is the philosophical architect of our modern world.
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  35.  18
    Principles For A Free Society: Reconciling Individual Liberty With The Common Good.Richard A. Epstein - 2009 - Perseus Books.
    The country's leading libertarian scholar sets forth the essential principles for a legal system that best balances individual liberty versus the common good.
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  36. Self-Consciousness and the Rights of Nonhuman Animals and Nature.Richard A. Watson - 1979 - Environmental Ethics 1 (2):99-129.
    A reciprocity framework is presented as an analysis of morality, and to explain and justify the attribution of moral rights and duties. To say an entity has rights makes sense only if that entity can fulfill reciprocal duties, i.e., can act as a moral agent. To be a moral agent an entity must (1) be self-conscious, (2) understand general principles, (3) have free will, (4) understand the given principles, (5) be physicallycapable of acting, and (6) intend to act according to (...)
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  37.  10
    Cartesian Views: Papers Presented to Richard A. Watson.Richard A. Watson & Thomas M. Lennon (eds.) - 2003 - Brill.
    A dozen papers by internationally known scholars explore questions largely unthinkable without Richard Watson's classic Downfall of Cartesianism: Descartes in Holland, Descartes and Simon Foucher, and issues raised by Descartes for philosophy of mind, philosophy of science, translation and toleration.
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  38.  5
    The Breakdown of Cartesian Metaphysics.Richard A. Watson - 1987 - Indianapolis: Hackett Publishing Company.
    Combines historical research and philosophical analysis to cast light on why and how Cartesianism failed as a complete metaphysical system. Far more radical in its conclusions than his 1966 study The Downfall of Cartesianism, Watson argues that Descartes's ontology is incoherent and vacuous, his epistemology deceptive, and his theology unorthodox--indeed, that Descartes knows nothing.
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  39. Rights, Human Rights, and Racial Discrimination.Richard A. Wasserstrom - 2000 - In Bernard Boxill (ed.), Race and Racism. Oxford University Press.
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  40.  20
    Altered vision near the hands.Richard A. Abrams, Christopher C. Davoli, Feng Du, William H. Knapp Iii & Daniel Paull - 2008 - Cognition 107 (3):1035-1047.
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  41. What is the history of philosophy and why is it important?Richard A. Watson - 2002 - Journal of the History of Philosophy 40 (4):525-528.
    Richard A. Watson - What is the History of Philosophy and Why is it Important? - Journal of the History of Philosophy 40:4 Journal of the History of Philosophy 40.4 525-528 Notes and Discussions What is the History of Philosophy and Why is it Important? The advent of the fortieth anniversary of the founding of the Journal of the History of Philosophy set me to thinking again about these old disputed questions. It seems obvious that what is unique to (...)
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  42.  60
    Sextus and Wittgenstein.Richard A. Watson - 1969 - Southern Journal of Philosophy 7 (3):229-237.
  43. Racism and Sexism.Richard A. Wasserstrom - 2000 - In Bernard Boxill (ed.), Race and Racism. Oxford University Press.
     
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  44. Holism and nonseparability.Richard A. Healey - 1991 - Journal of Philosophy 88 (8):393-421.
  45.  8
    Malebranche's First and Last Critics: Simon Foucher and Dortius de Mairan.Richard A. Watson & Marjorie Grene (eds.) - 1995 - Southern Illinois University.
    In this engrossing double volume, the work and thought of Nicolas Malebranche is examined through the eyes of Simon Foucher and Dortous de Mairan. Part 1 consists of Richard A. Watson’s translation of the first published critique, by Simon Foucher, of Malebranche’s main philosophical work, _Of the Search for the Truth. _In the second part, Marjorie Grene presents a meticulous translation of the long correspondence between Malebranche and Jean-Jacques Dortous de Mairan that ended shortly before Malebranche’s death. Both Watson (...)
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  46.  3
    Transubstantiation among the Cartesians.Richard A. Watson - 1982 - In Thomas M. Lennon (ed.), Problems of Cartesianism. Institute for Research on Public Policy. pp. 127-148.
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  47.  37
    Holism and Nonseparability.Richard A. Healey - 1991 - Journal of Philosophy 88 (8):393.
  48. Morality and the law.Richard A. Wasserstrom - 1971 - Belmont, Calif.,: Wadsworth Pub. Co..
    On liberty, by J. S. Mill.--Morals and the criminal law, by P. Devlin.--Immorality and treason, by H. L. A. Hart.--Lord Devlin and the enforcement of morals, by R. Dworkin.--Sins and crimes, by A. R. Louch.--Morals offenses and the model penal code, L. B. Schwartz.--Paternalism, by G. Dworkin.--Four cases involving the enforcement of morality: Shaw v. Director of Public Prosecutions; People v. Cohen; Repouille v. United States; Commonwealth v. Donoghue.--Bibliography (p. 149).
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  49. The downfall of Cartesianism 1673–1712.Richard A. Watson - 1966 - The Hague,: Martinus Nijhoff.
  50. Cogito ergo sum: the life of René Descartes / Richard Watson.Richard A. Watson - 2002 - Boston: David R. Godine.
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