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William Mitchell [29]William J. Mitchell [18]William C. Mitchell [3]William H. Mitchell [1]
William[from old catalog] Mitchell [1]William E. Mitchell [1]William G. Mitchell [1]William Jt Mitchell [1]

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William Mitchell
University of Alabama, Birmingham
  1.  12
    Aronszajn Trees and the Independence of the Transfer Property.William Mitchell - 1972 - Annals of Pure and Applied Logic 5 (1):21.
  2.  10
    On the Hamkins Approximation Property.William J. Mitchell - 2006 - Annals of Pure and Applied Logic 144 (1):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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  3.  6
    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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  4. Reviews: Government and Capitalism. [REVIEW]William Mitchell - 1983 - Thesis Eleven 7 (1):175-177.
  5.  64
    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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  6. 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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  7. Sets Constructed From Sequences of Measures: Revisited.William J. Mitchell - 1983 - Journal of Symbolic Logic 48 (3):600-609.
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  8.  38
    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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  9.  21
    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.
  10.  24
    Sets Constructible From Sequences of Ultrafilters.William J. Mitchell - 1974 - Journal of Symbolic Logic 39 (1):57-66.
  11. Ramsey Cardinals and Constructibility.William Mitchell - 1979 - Journal of Symbolic Logic 44 (2):260-266.
  12. 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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  13. 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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  14.  15
    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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  15. Politics as the Allocation of Values: A Critique.William C. Mitchell - 1960 - Ethics 71 (2):79-89.
  16.  31
    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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  17.  7
    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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  18.  22
    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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  19.  3
    [Omnibus Review].William Mitchell - 1984 - Journal of Symbolic Logic 49 (2):660-662.
  20. Urban Life, Jim—But Not As We Know It.William J. Mitchell - 2000 - Utopian Studies 11 (2):280-282.
  21.  13
    Some Examples of Precipitous Ideals.Thomas J. Jech & William J. Mitchell - 1983 - Annals of Pure and Applied Logic 24 (2):131-151.
  22. Pictorial Turn. Eine Antwort.William Jt Mitchell - 2007 - In Hans Belting (ed.), Bilderfragen: Die Bildwissenschaften Im Aufbruch. Fink.
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  23.  5
    Pictorial turn. Una risposta.William J. T. Mitchell - 2012 - Lebenswelt: Aesthetics and Philosophy of Experience 2:130-143.
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  24. 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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  25.  26
    Prikry Forcing at Κ+ and Beyond.William Mitchell - 1987 - Journal of Symbolic Logic 52 (1):44 - 50.
  26.  23
    Review: Azriel Levy, Basic Set Theory. [REVIEW]William Mitchell - 1981 - Journal of Symbolic Logic 46 (2):417-419.
  27.  37
    Moral Obligation.William Mitchell - 1886 - Mind 11 (41):35-48.
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  28.  19
    Prikry Forcing at $Kappa^+$ and Beyond.William Mitchell - 1987 - Journal of Symbolic Logic 52 (1):44-50.
  29.  11
    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.
  30.  11
    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.
  31.  17
    The Logic of the Ethic of Evolution.William Mitchell - 1890 - Mind 15 (59):342-356.
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  32.  10
    1995–1996 Winter Meeting of the Association for Symbolic Logic.William Mitchell - 1998 - Bulletin of Symbolic Logic 4 (4):436-442.
  33.  5
    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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  34. The Place of Minds in the World.William Mitchell - 1934 - Philosophy 9 (33):103-106.
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  35.  10
    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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  36.  15
    Review: D. A. Martin, J. R. Steel, Iteration Trees. [REVIEW]William Mitchell - 2002 - Bulletin of Symbolic Logic 8 (4):545-546.
  37. The Quality of Life.William Mitchell - 1934 - London: H. Milford.
     
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  38. The Place of Minds in the World.William Mitchell - 1933 - American Mathematical Society.
  39. Nature and Feeling.William[from old catalog] Mitchell - 1929
     
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  40.  6
    Professor McKellar Stewart as a Philosopher.William Mitchell - 1953 - Australasian Journal of Philosophy 31:137.
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  41.  6
    Review: Saunders Mac Lane, Categorical Algebra and Set-Theoretic Foundations. [REVIEW]William Mitchell - 1973 - Journal of Symbolic Logic 38 (3):528-528.
  42.  6
    The Carcinogenic Example.William Mitchell - 1997 - Logic Journal of the IGPL 5 (6):795-810.
    This paper will introduce a new model for Linear Logic, the IE model . Intuitively the model assumes there is a global environment which is divided up into an internal resource and an external resource. Such an assumption makes for an elementary definition of linear negation. The model results in a fairly natural semantics for the multiplicative operators and the constants of Linear Logic. A particular example of the model is given which gives a proper technical account of the cigarette (...)
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  43.  4
    Lane Saunders Mac. Categorical Algebra and Set-Theoretic Foundations. Axiomatic Set Theory, Proceedings of Symposia in Pure Mathematics, Vol. 13 Part 1, American Mathematical Society, Providence, Rhode Island, 1971, Pp. 231–240. [REVIEW]William Mitchell - 1973 - Journal of Symbolic Logic 38 (3):528-528.
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  44.  6
    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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  45.  3
    A Gitik Iteration With Nearly Easton Factoring.William Mitchell - 2003 - Journal of Symbolic Logic 68 (2):481-502.
    We reprove Gitik’s theorem that if the GCH holds and $o=\gk+1$ then there is a generic extension in which $\gk$ is still measurable and there is a closed unbounded subset C of $\gk$ such that every $ν\in C$ is inaccessible in the ground model. Unlike the forcing used by Gitik, the iterated forcing $\radin\gl+1$ used in this paper has the property that if $\gl$ is a cardinal less then $\gk$ then $\radin\gl+1$ can be factored in V as $\radin\gk+1=\radin\gl+1\times\radin\gl+1,\gk$ where $\card{\radin\gl+1}\le\gl+$ (...)
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  46.  3
    A Weak Variation Of Shelah’s I[Ω2].William Mitchell - 2004 - Journal of Symbolic Logic 69 (1):94-100.
    We use a κ+-Mahlo cardinal to give a forcing construction of a model in which there is no sequence 〈 Aγ:γ<ω2 〉 of sets of cardinality ω1 such that {λ<ω2:∃ c⊂λ =ω1&∀γ<λ )} is stationary.
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  47. Ordenadores, diseño y creatividad. El arte y su significado en un entorno digital interconectado.William Mitchell - 2008 - Telos: Cuadernos de Comunicación E Innovación 77:81-86.
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  48. Extender Based Forcings.Moti Gitik, Menachem Magidor & William J. Mitchell - 2003 - Bulletin of Symbolic Logic 9 (2):237-241.
     
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  49. REVIEWS-Iteration Trees.D. Martin, J. Steel & William Mitchell - 2002 - Bulletin of Symbolic Logic 8 (4):545-545.
  50. Clowning as Critical Practice Performance Humor in the South Pacific.William E. Mitchell - 1992
     
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