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William Mitchell [34]William J. Mitchell [20]William C. Mitchell [3]William A. Mitchell [1]
William H. Mitchell [1]William G. Mitchell [1]William Jt Mitchell [1]William John Thomas Mitchell [1]

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  1.  24
    Aronszajn trees and the independence of the transfer property.William Mitchell - 1972 - Annals of Mathematical Logic 5 (1):21.
  2.  77
    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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  3. 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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  4.  14
    Basic Set Theory.William Mitchell - 1981 - Journal of Symbolic Logic 46 (2):417-419.
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  5.  49
    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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  6.  46
    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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  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.  4
    Temporal memory for threatening events encoded in a haunted house.Katelyn G. Cliver, David F. Gregory, Steven A. Martinez, William J. Mitchell, Joanne E. Stasiak, Samantha S. Reisman, Chelsea Helion & Vishnu P. Murty - forthcoming - Cognition and Emotion.
    Despite the salient experience of encoding threatening events, these memories are prone to distortions and often non-veridical from encoding to recall. Further, threat has been shown to preferentially disrupt the binding of event details and enhance goal-relevant information. While extensive work has characterised distinctive features of emotional memory, research has not fully explored the influence threat has on temporal memory, a process putatively supported by the binding of event details into a temporal context. Two primary competing hypotheses have been proposed; (...)
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  9.  52
    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. Ramsey cardinals and constructibility.William Mitchell - 1979 - Journal of Symbolic Logic 44 (2):260-266.
  11.  61
    Image, Space, Revolution: The Arts of Occupation.William Mitchell - 2012 - Critical Inquiry 39 (1):8-32.
    Is there a dominant global image—call it a world picture—that links the Occupy movement to the Arab Spring? Or is there any single image that captures and perhaps even motivated the widely noticed synergy and infectious mimicry between Tahrir Square and Zuccotti Park?
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  12. 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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  13.  9
    The late Derrida.William John Thomas Mitchell & Arnold Ira Davidson (eds.) - 2007 - Chicago: 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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  14.  8
    [Omnibus Review].William Mitchell - 1984 - Journal of Symbolic Logic 49 (2):660-662.
  15.  20
    Some examples of precipitous ideals.Thomas J. Jech & William J. Mitchell - 1983 - Annals of Pure and Applied Logic 24 (2):131-151.
  16.  44
    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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  17.  4
    The place of minds in the world.William Mitchell - 1933 - New York: AMS Press.
  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. The Place of Minds in the World.William Mitchell - 1934 - Philosophy 9 (33):103-106.
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  20. 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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  21. Politics as the allocation of values: A critique.William C. Mitchell - 1960 - Ethics 71 (2):79-89.
  22.  13
    Covering at limit cardinals of K.William J. Mitchell & Ernest Schimmerling - 2023 - Journal of Mathematical Logic 24 (1).
    Assume that there is no transitive class model of [Formula: see text] with a Woodin cardinal. Let [Formula: see text] be a singular ordinal such that [Formula: see text] and [Formula: see text]. Suppose [Formula: see text] is a regular cardinal in K. Then [Formula: see text] is a measurable cardinal in K. Moreover, if [Formula: see text], then [Formula: see text].
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  23.  36
    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.  19
    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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  25.  37
    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.
  26. Extender Based Forcings.Moti Gitik, Menachem Magidor & William J. Mitchell - 2003 - Bulletin of Symbolic Logic 9 (2):237-241.
     
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  27.  6
    REVIEWS-Iteration trees.D. Martin, J. Steel & William Mitchell - 2002 - Bulletin of Symbolic Logic 8 (4):545-545.
  28. 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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  29.  18
    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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  30. 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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  31. House and Home: Or, the Value and Virtue of Domestic Life.William Mitchell - 1896
     
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  32. 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.
  33.  49
    Moral obligation.William Mitchell - 1886 - Mind 11 (41):35-48.
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  34. Nature and feeling.William Mitchell - 1929 - [n.p.]:
     
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  35. 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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  36.  55
    Prikry forcing at κ+ and beyond.William Mitchell - 1987 - Journal of Symbolic Logic 52 (1):44 - 50.
  37.  31
    Prikry Forcing at $kappa^+$ and Beyond.William Mitchell - 1987 - Journal of Symbolic Logic 52 (1):44-50.
  38.  15
    Professor McKellar Stewart as a Philosopher.William Mitchell - 1953 - Australasian Journal of Philosophy 31:137.
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  39. Pathological politics.William C. Mitchell & Randy T. Simmons - 2009 - In Matt Zwolinski (ed.), Arguing About Political Philosophy. London: Routledge. pp. 8--269.
     
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  40. Pictorial Turn. Eine Antwort.William Jt Mitchell - 2007 - In Hans Belting (ed.), Bilderfragen: die Bildwissenschaften im Aufbruch. München: Fink.
     
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  41.  20
    Pictorial turn. Una risposta.William J. T. Mitchell - 2012 - Lebenswelt: Aesthetics and Philosophy of Experience 2:130-143.
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  42.  1
    Structure & Growth of the Mind.William Mitchell - 1907 - Presses Universitaires de France.
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  43.  8
    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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  44. 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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  45. The Complexity of the Core Model.William Mitchell - 1998 - Journal of Symbolic Logic 63 (4):1393-1398.
    If there is no inner model with a cardinal $\kappa$ such that $o = \kappa^{++}$ then the set $K \cap H_{\omega_1}$ is definable over H$_{\omega_1}$ by a $\Delta_4$ formula, and the set $\{J_\alpha[\mathscr{U}] : \alpha < \omega_1\}$ of countable initial segments of the core model $K = L[\mathscr{U}]$ is definable over $H_{\omega_1}$ by a $\Pi_3$ formula. We show that if there is an inner model with infinitely many measurable cardinals then there is a model in which $\{J_\alpha [\mathscr{U}] : \alpha (...)
     
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  46. The Intermixture of Races in Asia Minor.William Ramsay Mitchell - 1915 - Proceedings of the British Academy 16:359-422.
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  47. 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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  48.  28
    The logic of the ethic of evolution.William Mitchell - 1890 - Mind 15 (59):342-356.
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  49. The new political economy.William C. Mitchell - forthcoming - Social Research: An International Quarterly.
     
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  50. The place of minds in the world: Gifford lectures at the University of Aberdeen, 1924-1926..William Mitchell - 1933 - London: Macmillan & Co..
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