Results for ' mad families'

998 found
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  1.  20
    Toward a dataist future: tracing Scandinavian posthumanism in Real Humans.Mads Larsen - 2023 - AI and Society 38 (1):349-361.
    Artificial intelligence is likely to undermine the anthropocentrism of humanism, the master narrative that undergirds the modern world. Humanity will need a new story to structure our beliefs and cooperation around. As different regions explore posthumanist alternatives through fiction, they bring with them distinct traditions of thought. The Swedish TV series _Real Humans_ (2012–2014) and its British remake, _Humans_ (2015–2018), dramatize the challenge of freeing oneself from cultural presumptions. When negotiating personhood with humanoid robots, the Swedish protagonist family presupposes a (...)
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  2. Maqālāt-i Aḥmadīyah.Aḥmad Āshtiyānī - 2011 - Qum: Intishārāt-i Haftah. Edited by Muḥsin Āshtiyānī.
    Collected articles on Islamic Ethics, doctrines. and Ahmadiyya family.
     
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  3. Libās: miyān̲ bīvī ke ḥuqūq va farāʼiz̤.Ḥanīf Aḥmad Maḥmūd - 2003 - Islāmābād: Lajnah Imāʼillāh.
    On the rights of husband and wife according to Islamic teachings.
     
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  4.  60
    Ordering MAD families a la Katětov.Michael Hrušák & Salvador García Ferreira - 2003 - Journal of Symbolic Logic 68 (4):1337-1353.
    An ordering (≤K) on maximal almost disjoint (MAD) families closely related to destructibility of MAD families by forcing is introduced and studied. It is shown that the order has antichains of size.
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  5.  15
    Mad families, forcing and the Suslin Hypothesis.Miloš S. Kurilić - 2005 - Archive for Mathematical Logic 44 (4):499-512.
    Let κ be a regular cardinal and P a partial ordering preserving the regularity of κ. If P is (κ-Baire and) of density κ, then there is a mad family on κ killed in all generic extensions (if and) only if below each p∈P there exists a κ-sized antichain. In this case a mad family on κ is killed (if and) only if there exists an injection from κ onto a dense subset of Ult(P) mapping the elements of onto nowhere (...)
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  6.  30
    MAD families of projections on l2 and real-valued functions on ω.Tristan Bice - 2011 - Archive for Mathematical Logic 50 (7-8):791-801.
    Two sets are said to be almost disjoint if their intersection is finite. Almost disjoint subsets of [ω]ω and ωω have been studied for quite some time. In particular, the cardinal invariants \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak{a}}$$\end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathfrak{a}_e}$$\end{document}, defined to be the minimum cardinality of a maximal infinite almost disjoint family of [ω]ω and ωω respectively, are known to be consistently less than \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} (...)
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  7.  17
    Restricted mad families.Osvaldo Guzmán, Michael Hrušák & Osvaldo Téllez - 2020 - Journal of Symbolic Logic 85 (1):149-165.
    Let ${\cal I}$ be an ideal on ω. By cov${}_{}^{\rm{*}}$ we denote the least size of a family ${\cal B} \subseteq {\cal I}$ such that for every infinite $X \in {\cal I}$ there is $B \in {\cal B}$ for which $B\mathop \cap \nolimits X$ is infinite. We say that an AD family ${\cal A} \subseteq {\cal I}$ is a MAD family restricted to${\cal I}$ if for every infinite $X \in {\cal I}$ there is $A \in {\cal A}$ such that $|X\mathop (...)
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  8.  57
    Projective mad families.Sy-David Friedman & Lyubomyr Zdomskyy - 2010 - Annals of Pure and Applied Logic 161 (12):1581-1587.
    Using almost disjoint coding we prove the consistency of the existence of a definable ω-mad family of infinite subsets of ω together with.
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  9.  22
    Ordering MAD families a la Kat?tov.Michael Hru?�K. & Salvador Garc�A.} Ferreira - 2003 - Journal of Symbolic Logic 68 (4):1337-1353.
  10.  51
    Mad families, splitting families and large continuum.Jörg Brendle & Vera Fischer - 2011 - Journal of Symbolic Logic 76 (1):198 - 208.
    Let κ < λ be regular uncountable cardinals. Using a finite support iteration (in fact a matrix iteration) of ccc posets we obtain the consistency of b = a = κ < s = λ. If μ is a measurable cardinal and μ < κ < λ, then using similar techniques we obtain the consistency of b = κ < a = s = λ.
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  11.  4
    Towers, mad families, and unboundedness.Vera Fischer, Marlene Koelbing & Wolfgang Wohofsky - 2023 - Archive for Mathematical Logic 62 (5):811-830.
    We show that Hechler’s forcings for adding a tower and for adding a mad family can be represented as finite support iterations of Mathias forcings with respect to filters and that these filters are $${\mathcal {B}}$$ B -Canjar for any countably directed unbounded family $${\mathcal {B}}$$ B of the ground model. In particular, they preserve the unboundedness of any unbounded scale of the ground model. Moreover, we show that $${\mathfrak {b}}=\omega _1$$ b = ω 1 in every extension by the (...)
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  12.  19
    Mad Families Constructed from Perfect Almost Disjoint Families.Jörg Brendle & Yurii Khomskii - 2013 - Journal of Symbolic Logic 78 (4):1164-1180.
  13.  13
    Definable MAD families and forcing axioms.Vera Fischer, David Schrittesser & Thilo Weinert - 2021 - Annals of Pure and Applied Logic 172 (5):102909.
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  14.  15
    Almost Disjoint and Mad Families in Vector Spaces and Choice Principles.Eleftherios Tachtsis - 2022 - Journal of Symbolic Logic 87 (3):1093-1110.
    In set theory without the Axiom of Choice ( $\mathsf {AC}$ ), we investigate the open problem of the deductive strength of statements which concern the existence of almost disjoint and maximal almost disjoint (MAD) families of infinite-dimensional subspaces of a given infinite-dimensional vector space, as well as the extension of almost disjoint families in infinite-dimensional vector spaces to MAD families.
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  15.  14
    Indestructibility of ideals and MAD families.David Chodounský & Osvaldo Guzmán - 2021 - Annals of Pure and Applied Logic 172 (5):102905.
    In this survey paper we collect several known results on destroying tall ideals on countable sets and maximal almost disjoint families with forcing. In most cases we provide streamlined proofs of the presented results. The paper contains results of many authors as well as a preview of results of a forthcoming paper of Brendle, Guzmán, Hrušák, and Raghavan.
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  16.  62
    Co-analytic mad families and definable wellorders.Vera Fischer, Sy David Friedman & Yurii Khomskii - 2013 - Archive for Mathematical Logic 52 (7-8):809-822.
    We show that the existence of a ${\Pi^1_1}$ -definable mad family is consistent with the existence of a ${\Delta^{1}_{3}}$ -definable well-order of the reals and ${\mathfrak{b}=\mathfrak{c}=\aleph_3}$.
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  17.  30
    Covering properties of $$omega $$ω -mad families.Leandro Aurichi & Lyubomyr Zdomskyy - 2020 - Archive for Mathematical Logic 59 (3-4):445-452.
    We prove that Martin’s Axiom implies the existence of a Cohen-indestructible mad family such that the Mathias forcing associated to its filter adds dominating reals, while \ is consistent with the negation of this statement as witnessed by the Laver model for the consistency of Borel’s conjecture.
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  18.  1
    Katětov Order on Mad Families.Osvaldo Guzmán - 2024 - Journal of Symbolic Logic 89 (2):794-828.
    We continue with the study of the Katětov order on MAD families. We prove that Katětov maximal MAD families exist under $\mathfrak {b=c}$ and that there are no Katětov-top MAD families assuming $\mathfrak {s\leq b}.$ This improves previously known results from the literature. We also answer a problem form Arciga, Hrušák, and Martínez regarding Katětov maximal MAD families.
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  19.  58
    Projective wellorders and mad families with large continuum.Vera Fischer, Sy David Friedman & Lyubomyr Zdomskyy - 2011 - Annals of Pure and Applied Logic 162 (11):853-862.
    We show that is consistent with the existence of a -definable wellorder of the reals and a -definable ω-mad subfamily of [ω]ω.
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  20.  28
    Mob families and mad families.Jörg Brendle - 1998 - Archive for Mathematical Logic 37 (3):183-197.
    We show the consistency of ${\frak o} <{\frak d}$ where ${\frak o}$ is the size of the smallest off-branch family, and ${\frak d}$ is as usual the dominating number. We also prove the consistency of ${\frak b} < {\frak a}$ with large continuum. Here, ${\frak b}$ is the unbounding number, and ${\frak a}$ is the almost disjointness number.
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  21.  23
    Forcing indestructibility of MAD families.Jörg Brendle & Shunsuke Yatabe - 2005 - Annals of Pure and Applied Logic 132 (2):271-312.
    Let A[ω]ω be a maximal almost disjoint family and assume P is a forcing notion. Say A is P-indestructible if A is still maximal in any P-generic extension. We investigate P-indestructibility for several classical forcing notions P. In particular, we provide a combinatorial characterization of P-indestructibility and, assuming a fragment of MA, we construct maximal almost disjoint families which are P-indestructible yet Q-destructible for several pairs of forcing notions . We close with a detailed investigation of iterated Sacks indestructibility.
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  22.  19
    Completely separable mad families and the modal logic of βω.Tomáš Lávička & Jonathan L. Verner - 2022 - Journal of Symbolic Logic 87 (2):498-507.
    We show in ZFC that the existence of completely separable maximal almost disjoint families of subsets of $\omega $ implies that the modal logic $\mathbf {S4.1.2}$ is complete with respect to the Čech–Stone compactification of the natural numbers, the space $\beta \omega $. In the same fashion we prove that the modal logic $\mathbf {S4}$ is complete with respect to the space $\omega ^*=\beta \omega \setminus \omega $. This improves the results of G. Bezhanishvili and J. Harding in [4], (...)
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  23.  15
    Happy and mad families in L.Itay Neeman & Zach Norwood - 2018 - Journal of Symbolic Logic 83 (2):572-597.
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  24.  27
    Completely separable mad families and the modal logic of.Tomáš Lávička & Jonathan L. Verner - 2020 - Journal of Symbolic Logic:1-10.
    We show in ZFC that the existence of completely separable maximal almost disjoint families of subsets of $\omega $ implies that the modal logic $\mathbf {S4.1.2}$ is complete with respect to the Čech–Stone compactification of the natural numbers, the space $\beta \omega $. In the same fashion we prove that the modal logic $\mathbf {S4}$ is complete with respect to the space $\omega ^*=\beta \omega \setminus \omega $. This improves the results of G. Bezhanishvili and J. Harding in [4], (...)
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  25.  10
    Σ12 and Π11 Mad Families.Asger Törnquist - 2009 - Journal of Symbolic Logic 78 (4):1181-1182.
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  26.  11
    P-points, MAD families and Cardinal Invariants.Osvaldo Guzmán González - 2022 - Bulletin of Symbolic Logic 28 (2):258-260.
    The main topics of this thesis are cardinal invariants, P -points and MAD families. Cardinal invariants of the continuum are cardinal numbers that are bigger than $\aleph _{0}$ and smaller or equal than $\mathfrak {c}.$ Of course, they are only interesting when they have some combinatorial or topological definition. An almost disjoint family is a family of infinite subsets of $\omega $ such that the intersection of any two of its elements is finite. A MAD family is a maximal (...)
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  27.  19
    Generic existence of mad families.Osvaldo Guzmán-gonzález, Michael Hrušák, Carlos Azarel Martínez-Ranero & Ulises Ariet Ramos-garcía - 2017 - Journal of Symbolic Logic 82 (1):303-316.
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  28.  8
    On the definability of mad families of vector spaces.Haim Horowitz & Saharon Shelah - 2022 - Annals of Pure and Applied Logic 173 (4):103079.
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  29.  6
    Correction to: Towers, mad families, and unboundedness.Vera Fischer, Marlene Koelbing & Wolfgang Wohofsky - 2023 - Archive for Mathematical Logic 62 (7):1159-1160.
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  30.  13
    On the non-existence of mad families.Haim Horowitz & Saharon Shelah - 2019 - Archive for Mathematical Logic 58 (3-4):325-338.
    We show that the non-existence of mad families is equiconsistent with \, answering an old question of Mathias. We also consider the above result in the general context of maximal independent sets in Borel graphs, and we construct a Borel graph G such that \ “there is no maximal independent set in G” is equiconsistent with \ “there exists an inaccessible cardinal”.
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  31.  7
    On the non-existence of $$\kappa $$-mad families.Haim Horowitz & Saharon Shelah - 2023 - Archive for Mathematical Logic 62 (7):1033-1039.
    Starting from a model with a Laver-indestructible supercompact cardinal $$\kappa $$, we construct a model of $$ZF+DC_{\kappa }$$ where there are no $$\kappa $$ -mad families.
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  32.  8
    Σ1 2 and Π1 1 Mad Families.Asger Törnquist - 2013 - Journal of Symbolic Logic 78 (4):1181-1182.
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  33.  11
    $\Sigma^12$ and $\Pi^11$ mad families.Asger Törnquist - 2013 - Journal of Symbolic Logic 78 (4):1181-1182.
  34. Many Forms of Madness: A Family's Struggle with Mental Illness and the Mental Health System.Radford Rosemary Ruether & David Ruether - 2010
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  35.  48
    Cohen-stable families of subsets of integers.Miloš S. Kurilić - 2001 - Journal of Symbolic Logic 66 (1):257-270.
    A maximal almost disjoint (mad) family $\mathscr{A} \subseteq [\omega]^\omega$ is Cohen-stable if and only if it remains maximal in any Cohen generic extension. Otherwise it is Cohen-unstable. It is shown that a mad family, A, is Cohen-unstable if and only if there is a bijection G from ω to the rationals such that the sets G[A], A ∈A are nowhere dense. An ℵ 0 -mad family, A, is a mad family with the property that given any countable family $\mathscr{B} \subset (...)
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  36.  6
    Elizabeth W. Mellyn. Mad Tuscans and Their Families: A History of Mental Disorder in Early Modern Italy. 290 pp., illus., bibl., index. Philadelphia: University of Pennsylvania Press, 2014. $55. [REVIEW]Elisa Andretta - 2015 - Isis 106 (4):911-912.
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  37.  19
    Akihito Suzuki, Madness at Home: The Psychiatrist, the Patient and the Family in England, 1820–1860. Berkeley and London: University of California Press, 2006. Pp. xii+260. ISBN 0-520-24580-6. $49.95, £32.50 .Joseph Melling and Bill Forsythe, The Politics of Madness: The State, Insanity and Society in England, 1845–1914. Abingdon: Routledge, 2006. Pp. xviii +278. ISBN 0-415-30174-2. £75.00. [REVIEW]Anne Digby - 2008 - British Journal for the History of Science 41 (2):283-285.
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  38.  8
    Madness in vector spaces.Iian B. Smythe - 2019 - Journal of Symbolic Logic 84 (4):1590-1611.
    We consider maximal almost disjoint families of block subspaces of countable vector spaces, focusing on questions of their size and definability. We prove that the minimum infinite cardinality of such a family cannot be decided in ZFC and that the “spectrum” of cardinalities of mad families of subspaces can be made arbitrarily large, in analogy to results for mad families on ω. We apply the author’s local Ramsey theory for vector spaces [32] to give partial results concerning (...)
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  39.  25
    Mad for Foucault: Rethinking the Foundations of Queer Theory.Lynne Huffer - 2009 - Columbia University Press.
    Michel Foucault was the first to embed the roots of human sexuality in discipline and biopolitics, therefore revolutionizing our conception of sex and its relationship to society, economics, and culture. Yet over the past two decades, scholars have limited themselves to the study of Foucault's _History of Sexuality_, volume 1 paying lesser attention to his equally explosive _History of Madness_. In this earlier volume, Foucault recasts Western rationalism as a project that both produces and represses sexual deviants, calling out the (...)
  40.  10
    κ‐Madness and definability.Haim Horowitz & Saharon Shelah - 2022 - Mathematical Logic Quarterly 68 (3):346-351.
    Assuming the existence of a supercompact cardinal, we construct a model where, for some uncountable regular cardinal κ, there are no κ‐mad families.
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  41.  25
    Madness and Bestialization in euripides' Heracles.Antonietta Provenza - 2013 - Classical Quarterly 63 (1):68-93.
    Against a background of anxious evocation of Dionysiac rites, Euripides'Heraclesstages the extreme degradation of the tragic hero who, as a consequence of the hatred of a divinity, loses his heroic traits and above all his human ones in the exercise of brutal violence. By comparing Heracles in the grip of madness to a furious bull assailing its prey, the tragedian clearly shows the inexorability of the divine will and its arbitrariness, and emphasizes madness itself through images traditionally associated with the (...)
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  42.  24
    Splitting families and forcing.Miloš S. Kurilić - 2007 - Annals of Pure and Applied Logic 145 (3):240-251.
    According to [M.S. Kurilić, Cohen-stable families of subsets of the integers, J. Symbolic Logic 66 257–270], adding a Cohen real destroys a splitting family on ω if and only if is isomorphic to a splitting family on the set of rationals, , whose elements have nowhere dense boundaries. Consequently, implies the Cohen-indestructibility of . Using the methods developed in [J. Brendle, S. Yatabe, Forcing indestructibility of MAD families, Ann. Pure Appl. Logic 132 271–312] the stability of splitting (...) in several forcing extensions is characterized in a similar way . Also, it is proved that a splitting family is preserved by the Sacks forcing if and only if it is preserved by some forcing which adds a new real. The corresponding hierarchy of splitting families is investigated. (shrink)
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  43.  16
    Subject to Emotion: Exploring Madness in Orestes.Z. Theodorou - 1993 - Classical Quarterly 43 (01):32-.
    Madness and emotion could be said to share, to a certain extent, their definition as kinds of human response to influences from their environment. The connection between madness and emotion is stressed in modern psychological observations establishing strong links between the causation of madness and human emotionality. Despite the fact that similar insights were absent from Greek medical theorists, or indeed from other contemporary writers, this would come as no surprise to either Sophokles or Euripides. Both tragedians handled their material (...)
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  44.  17
    Madness and Disability in Contemporary Chinese Film.Deirdre Sabina Knight - 2006 - Journal of Medical Humanities 27 (2):93-103.
    This article draws on recent research in the medical humanities to analyze two contemporary Chinese films: Zhang Yuan's Sons (1996) and Zhou Xiaowen's The Common People (1998). By portraying psychic and physical anguish in ways that refuse to divorce biology from culture, such films offer rare moral dialogues on biomedical issues and contribute a cross-cultural perspective invaluable to the task of responding to illness and suffering.
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  45.  9
    Maximal almost disjoint families, determinacy, and forcing.Karen Bakke Haga, David Schrittesser & Asger Törnquist - 2022 - Journal of Mathematical Logic 22 (1):2150026.
    We study the notion of [Formula: see text]-MAD families where [Formula: see text] is a Borel ideal on [Formula: see text]. We show that if [Formula: see text] is any finite or countably iterated Fubini product of the ideal of finite sets [Formula: see text], then there are no analytic infinite [Formula: see text]-MAD families, and assuming Projective Determinacy and Dependent Choice there are no infinite projective [Formula: see text]-MAD families; and under the full Axiom of Determinacy (...)
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  46.  15
    Partition Forcing and Independent Families.Jorge A. Cruz-Chapital, Vera Fischer, Osvaldo Guzmán & Jaroslav Šupina - 2023 - Journal of Symbolic Logic 88 (4):1590-1612.
    We show that Miller partition forcing preserves selective independent families and P-points, which implies the consistency of $\mbox {cof}(\mathcal {N})=\mathfrak {a}=\mathfrak {u}=\mathfrak {i}<\mathfrak {a}_T=\omega _2$. In addition, we show that Shelah’s poset for destroying the maximality of a given maximal ideal preserves tight mad families and so we establish the consistency of $\mbox {cof}(\mathcal {N})=\mathfrak {a}=\mathfrak {i}=\omega _1<\mathfrak {u}=\mathfrak {a}_T=\omega _2$.
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  47.  28
    Flaubert and Sartre on Madness in King Lear.Hazel E. Barnes - 1986 - Philosophy and Literature 10 (2):211-221.
    In lieu of an abstract, here is a brief excerpt of the content:Hazel E. Barnes FLAUBERT AND SARTRE ON MADNESS IN KING LEAR T'oward the end of the second volume of The Family Idiot (L'Idiot de la famille), in a section called "Exercises and Reading," Sartre discusses Flaubert's reading of Shakespeare.1 In the context Sartre describes how Flaubert spent his time during one of the rare periods when he was not even attempting to write anything; more than two years elapsed (...)
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  48.  26
    Lynn Huffer’s Mad For Foucault.Laura Hengehold - 2011 - philoSOPHIA: A Journal of Continental Feminism 1 (2):226-238.
    In lieu of an abstract, here is a brief excerpt of the content:Lynn Huffer's Mad For Foucault:An Analysis of Historical Eros?Laura HengeholdMad for Foucault is a remarkably beautiful book balanced on the edges between the personal, the impersonal, and the public and reflected through Foucault's own struggles to establish those divides. Huffer's goal in Mad for Foucault is to draw scholarly attention to the emotional and ethical content of Foucault's writing, as well as to assess the risks of queer theory's (...)
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  49.  28
    Discipline, health and madness: Foucault’s Le pouvoir psychiatrique.Stuart Elden - 2006 - History of the Human Sciences 19 (1):39-66.
    This article provides a reading and analysis of Foucault’s 1973-4 lecture course Le pouvoir psychiatrique. It begins by situating the course within the wider context of Foucault’s work, notably in relation to Histoire de la folie and the move of the early 1970s to the conceptual tools of power and genealogy. It is argued that Le pouvoir psychiatrique is a rewriting of the last part of Histoire de la folie from the perspective of these new conceptual tools. Analysis then moves (...)
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  50.  21
    Maximal almost disjoint families, determinacy, and forcing.Karen Bakke Haga, David Schrittesser & Asger Törnquist - 2021 - Journal of Mathematical Logic 22 (1).
    We study the notion of ????-MAD families where ???? is a Borel ideal on ω. We show that if ???? is any finite or countably iterated Fubini product of the ideal of finite sets Fin, then there are no analytic...
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