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William Mitchell [31]William J. Mitchell [18]William C. Mitchell [3]William J. T. Mitchell [1]
William A. Mitchell [1]William John Thomas Mitchell [1]William Ramsay Mitchell [1]William H. Mitchell [1]

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William Mitchell
University of Alabama, Birmingham
William Mitchell
University of Wisconsin, Madison
  1.  19
    Aronszajn Trees and the Independence of the Transfer Property.William Mitchell - 1972 - Annals of Mathematical Logic 5 (1):21.
  2. The Reconfigured Eye: Visual Truth in the Post-Photographic Era.William J. Mitchell - 1994 - MIT Press.
    Continuing William Mitchell's investigations of how we understand, reason about, anduse images, The Reconfigured Eye provides the first systematic, critical analysis of the digitalimaging revolution.
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  3.  41
    Sets Constructible From Sequences of Ultrafilters.William J. Mitchell - 1974 - Journal of Symbolic Logic 39 (1):57-66.
    In [4], Kunen used iterated ultrapowers to show that ifUis a normalκ-complete nontrivial ultrafilter on a cardinalκthenL[U], the class of sets constructive fromU, has only the ultrafilterU∩L[U] and this ultrafilter depends only onκ. In this paper we extend Kunen's methods to arbitrary sequencesUof ultrafilters and obtain generalizations of these results. In particular we answer Problem 1 of Kunen and Paris [5] which asks whether the number of ultrafilters onκcan be intermediate between 1 and 22κ. If there is a normalκ-complete ultrafilterUonκsuch (...)
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  4.  22
    Indiscernible Sequences for Extenders, and the Singular Cardinal Hypothesis.Moti Gitik & William J. Mitchell - 1996 - Annals of Pure and Applied Logic 82 (3):273-316.
    We prove several results giving lower bounds for the large cardinal strength of a failure of the singular cardinal hypothesis. The main result is the following theorem: Theorem. Suppose κ is a singular strong limit cardinal and 2κ λ where λ is not the successor of a cardinal of cofinality at most κ. If cf > ω then it follows that o λ, and if cf = ωthen either o λ or {α: K o α+n} is confinal in κ for (...)
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  5.  32
    On the Hamkins Approximation Property.William J. Mitchell - 2006 - Annals of Pure and Applied Logic 144 (1-3):126-129.
    We give a short proof of a lemma which generalizes both the main lemma from the original construction in the author’s thesis of a model with no ω2-Aronszajn trees, and also the “Key Lemma” in Hamkins’ gap forcing theorems. The new lemma directly yields Hamkins’ newer lemma stating that certain forcing notions have the approximation property.
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  6. Ramsey Cardinals and Constructibility.William Mitchell - 1979 - Journal of Symbolic Logic 44 (2):260-266.
  7.  6
    Basic Set Theory.William Mitchell - 1981 - Journal of Symbolic Logic 46 (2):417-419.
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  8. Sets Constructed From Sequences of Measures: Revisited.William J. Mitchell - 1983 - Journal of Symbolic Logic 48 (3):600-609.
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  9.  43
    Adding Closed Unbounded Subsets of Ω₂ with Finite Forcing.William J. Mitchell - 2005 - Notre Dame Journal of Formal Logic 46 (3):357-371.
    An outline is given of the proof that the consistency of a κ⁺-Mahlo cardinal implies that of the statement that I[ω₂] does not include any stationary subsets of Cof(ω₁). An additional discussion of the techniques of this proof includes their use to obtain a model with no ω₂-Aronszajn tree and to add an ω₂-Souslin tree with finite conditions.
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  10. A Weak Variation of Shelah's I[Ω₂].William J. Mitchell - 2004 - Journal of Symbolic Logic 69 (1):94-100.
    We use a $\kappa^{+}-Mahlo$ cardinal to give a forcing construction of a model in which there is no sequence $\langle A_{\beta} : \beta \textless \omega_{2} \rangle$ of sets of cardinality $\omega_{1}$ such that $\{\lambda \textless \omega_{2} : \existsc \subset \lambda & (\bigcupc = \lambda otp(c) = \omega_{1} & \forall \beta \textless \lambda (c \cap \beta \in A_{\beta}))\}$ is stationary.
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  11. The Late Derrida.William John Thomas Mitchell & Arnold Ira Davidson (eds.) - 2007 - University of Chicago Press.
    The rubric “The Late Derrida,” with all puns and ambiguities cheerfully intended, points to the late work of Jacques Derrida, the vast outpouring of new writing by and about him in the period roughly from 1994 to 2004. In this period Derrida published more than he had produced during his entire career up to that point. At the same time, this volume deconstructs the whole question of lateness and the usefulness of periodization. It calls into question the “fact” of his (...)
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  12.  40
    Bank Ethics: An Exploratory Study of Ethical Behaviors and Perceptions in Small, Local Banks. [REVIEW]William J. Mitchell, Phillip V. Lewis & N. L. Reinsch - 1992 - Journal of Business Ethics 11 (3):197 - 205.
    This article addresses five research questions: What specific behaviors are described in the literature as ethical or unethical? What percentage of business people are believed to be guilty of unethical behavior? What specific unethical behaviors have been observed by bank employees? How serious are the behaviors? Are experiences and attitudes affected by demographics? Conclusions suggest: There are seventeen categories of behavior, and that they are heavily skewed toward internal behaviors. Younger employees have a higher level of ethical consciousness than older (...)
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  13.  5
    [Omnibus Review].William Mitchell - 1984 - Journal of Symbolic Logic 49 (2):660-662.
  14.  16
    Some Examples of Precipitous Ideals.Thomas J. Jech & William J. Mitchell - 1983 - Annals of Pure and Applied Logic 24 (2):131-151.
  15.  40
    A Universal Extender Model Without Large Cardinals In V.William Mitchell & Ralf Schindler - 2004 - Journal of Symbolic Logic 69 (2):371-386.
    We construct, assuming that there is no inner model with a Woodin cardinal but without any large cardinal assumption, a model Kc which is iterable for set length iterations, which is universal with respect to all weasels with which it can be compared, and is universal with respect to set sized premice.
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  16.  1
    The Place of Minds in the World.William Mitchell - 1933 - American Mathematical Society.
  17. Reviews: Government and Capitalism. [REVIEW]William Mitchell - 1983 - Thesis Eleven 7 (1):175-177.
  18. The Complexity of the Core Model.William J. Mitchell - 1998 - Journal of Symbolic Logic 63 (4):1393-1398.
    If there is no inner model with a cardinal κ such that o(κ) = κ ++ then the set K ∩ H ω 1 is definable over H ω 1 by a Δ 4 formula, and the set $\{J_\alpha[\mathscr{U}]: \alpha of countable initial segments of the core model K = L[U] is definable over H ω 1 by a Π 3 formula. We show that if there is an inner model with infinitely many measurable cardinals then there is a model (...)
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  19. A Gitik Iteration with Nearly Easton Factoring.William J. Mitchell - 2003 - Journal of Symbolic Logic 68 (2):481-502.
    We reprove Gitik's theorem that if the GCH holds and o(κ) = κ + 1 then there is a generic extension in which κ is still measurable and there is a closed unbounded subset C of κ such that every $\nu \in C$ is inaccessible in the ground model. Unlike the forcing used by Gitik. the iterated forcing $R_{\lambda +1}$ used in this paper has the property that if λ is a cardinal less then κ then $R_{\lambda + 1}$ can (...)
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  20. The Place of Minds in the World.William Mitchell - 1934 - Philosophy 9 (33):103-106.
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  21. Politics as the Allocation of Values: A Critique.William C. Mitchell - 1960 - Ethics 71 (2):79-89.
  22.  24
    D. A. Martin and J. R. Steel. Iteration Trees. Journal of the American Mathematical Society, Vol. 7 , Pp. 1–73. [REVIEW]William Mitchell - 2002 - Bulletin of Symbolic Logic 8 (4):545-546.
  23.  25
    Does God Roll Dice? Neutrality and Determinism in Evolutionary Ecology.Som B. Ale, Abdel Halloway, William A. Mitchell & Christopher J. Whelan - 2019 - Biology and Philosophy 34 (1):3.
    A tension between perspectives that emphasize deterministic versus stochastic processes has sparked controversy in ecology since pre-Darwinian times. The most recent manifestation of the contrasting perspectives arose with Hubbell’s proposed “neutral theory”, which hypothesizes a paramount role for stochasticity in ecological community composition. Here we shall refer to the deterministic and the stochastic perspectives as the niche-based and neutral-based research programs, respectively. Our goal is to represent these perspectives in the context of Lakatos’ notion of a scientific research program. We (...)
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  24.  43
    Prikry Forcing at Κ+ and Beyond.William Mitchell - 1987 - Journal of Symbolic Logic 52 (1):44 - 50.
  25. Extender Based Forcings.Moti Gitik, Menachem Magidor & William J. Mitchell - 2003 - Bulletin of Symbolic Logic 9 (2):237-241.
     
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  26. REVIEWS-Iteration Trees.D. Martin, J. Steel & William Mitchell - 2002 - Bulletin of Symbolic Logic 8 (4):545-545.
  27. House and Home: Or, the Value and Virtue of Domestic Life.William Mitchell - 1896
     
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  28. I[Ω₂] Can Be the Nonstationary Ideal on Cof. Transactions of the American Mathematical Society, Vol. 361.William J. Mitchell - 2011 - Bulletin of Symbolic Logic 17 (4):535-537.
  29. Pathological Politics.William C. Mitchell & Randy T. Simmons - 2009 - In Matt Zwolinski (ed.), Arguing About Political Philosophy. Routledge. pp. 8--269.
     
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  30. The Intermixture of Races in Asia Minor.William Ramsay Mitchell - 1915 - Proceedings of the British Academy 16:359-422.
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  31. The Implicit Prospective Dimension of the Symbol in the Early Works of Freud, 1893-1900.William H. Mitchell - 1973 - Dissertation, Duquesne University
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  32. The New Political Economy.William C. Mitchell - forthcoming - Social Research: An International Quarterly.
     
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  33. Covering Properties of Core Models.Ernest Schimmerling, Peter Koepke, William J. Mitchell & John R. Steel - 2004 - Bulletin of Symbolic Logic 10 (4):583-588.
  34.  31
    Processing Speed Training Increases the Efficiency of Attentional Resource Allocation in Young Adults.Wesley K. Burge, Lesley A. Ross, Franklin R. Amthor, William G. Mitchell, Alexander Zotov & Kristina M. Visscher - 2013 - Frontiers in Human Neuroscience 7.
  35.  30
    Review: Saunders Mac Lane, Categorical Algebra and Set-Theoretic Foundations. [REVIEW]William Mitchell - 1973 - Journal of Symbolic Logic 38 (3):528-528.
  36. Pictorial Turn. Eine Antwort.William Jt Mitchell - 2007 - In Hans Belting (ed.), Bilderfragen: Die Bildwissenschaften Im Aufbruch. Fink.
     
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  37.  27
    Prikry Forcing at $Kappa^+$ and Beyond.William Mitchell - 1987 - Journal of Symbolic Logic 52 (1):44-50.
  38.  26
    Review: Azriel Levy, Basic Set Theory. [REVIEW]William Mitchell - 1981 - Journal of Symbolic Logic 46 (2):417-419.
  39.  12
    Pictorial turn. Una risposta.William J. T. Mitchell - 2012 - Lebenswelt: Aesthetics and Philosophy of Experience 2:130-143.
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  40.  10
    Azriel Levy. Basic Set Theory. Perspectives in Mathematical Logic. Springer-Verlag, Berlin, Heidelberg, and New York, 1979, XIV + 391 Pp. [REVIEW]William Mitchell - 1981 - Journal of Symbolic Logic 46 (2):417-419.
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  41.  18
    Dodd A. And Jensen R.. The Core Model. Annals of Mathematical Logic, Vol. 20 , Pp. 43–75.Dodd Tony and Jensen Ronald. The Covering Lemma for K. Annals of Mathematical Logic, Vol. 22 , Pp. 1–30.Dodd A. J. And Jensen R. B.. The Covering Lemma for L[U]. Annals of Mathematical Logic, Pp. 127–135.Donder D., Jensen R. B. And Koppelberg B. J.. Some Applications of the Core Model. Set Theory and Model Theory, Proceedings of an Informal Symposium Held at Bonn, June 1–3, 1979, Edited by Jensen R. B. And Prestel A., Lecture Notes in Mathematics, Vol. 872, Springer-Verlag, Berlin, Heidelberg, and New York, 1981, Pp. 55–97.Dodd A.. The Core Model. London Mathematical Society Lecture Note Series, No. 61. Cambridge University Press, Cambridge Etc. 1982, Xxxviii + 229 Pp. [REVIEW]William Mitchell - 1984 - Journal of Symbolic Logic 49 (2):660-662.
  42.  15
    The Sharp for the Chang Model is Small.William J. Mitchell - 2017 - Archive for Mathematical Logic 56 (7-8):935-982.
    Woodin has shown that if there is a measurable Woodin cardinal then there is, in an appropriate sense, a sharp for the Chang model. We produce, in a weaker sense, a sharp for the Chang model using only the existence of a cardinal \ having an extender of length \.
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  43.  20
    The Logic of the Ethic of Evolution.William Mitchell - 1890 - Mind 15 (59):342-356.
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  44.  13
    1995–1996 Winter Meeting of the Association for Symbolic Logic.William Mitchell - 1998 - Bulletin of Symbolic Logic 4 (4):436-442.
  45.  14
    An Infinitary Ramsey Property.William J. Mitchell - 1992 - Annals of Pure and Applied Logic 57 (2):151-160.
    Mitchell, W.J., An infinitary Ramsey property, Annals of Pure and Applied Logic 57 151–160. We prove that the consistency of a measurable cardinal implies the consistency of a cardinal κ>+ satisfying the partition relations κ ω and κ ωregressive. This result follows work of Spector which uses the same hypothesis to prove the consistency of ω1 ω. We also give some examples of partition relations which can be proved for ω1 using the methods of Spector but cannot be proved for (...)
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  46. The Covering Lemma Up to a Woodin Cardinal.William Mitchell, Ernest Schimmerling & John Steel - 2003 - Bulletin of Symbolic Logic 9 (3):414-416.
     
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  47.  12
    Gainesville, Florida March 10–13, 2007.Michael Benedikt, Andreas Blass, Natasha Dobrinen, Noam Greenberg, Denis R. Hirschfeldt, Salma Kuhlmann, Hannes Leitgeb, William J. Mitchell & Thomas Wilke - 2007 - Bulletin of Symbolic Logic 13 (3).
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  48.  15
    Review: D. A. Martin, J. R. Steel, Iteration Trees. [REVIEW]William Mitchell - 2002 - Bulletin of Symbolic Logic 8 (4):545-546.
  49.  9
    Professor McKellar Stewart as a Philosopher.William Mitchell - 1953 - Australasian Journal of Philosophy 31:137.
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  50. Urban Life, Jim—But Not As We Know It.William J. Mitchell - 2000 - Utopian Studies 11 (2):280-282.
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