Results for 'Reverse Easton iteration'

987 found
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  1.  33
    Homogeneous iteration and measure one covering relative to HOD.Natasha Dobrinen & Sy-David Friedman - 2008 - Archive for Mathematical Logic 47 (7-8):711-718.
    Relative to a hyperstrong cardinal, it is consistent that measure one covering fails relative to HOD. In fact it is consistent that there is a superstrong cardinal and for every regular cardinal κ, κ + is greater than κ + of HOD. The proof uses a very general lemma showing that homogeneity is preserved through certain reverse Easton iterations.
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  2.  49
    Indestructibility of Vopěnka’s Principle.Andrew D. Brooke-Taylor - 2011 - Archive for Mathematical Logic 50 (5-6):515-529.
    Vopěnka’s Principle is a natural large cardinal axiom that has recently found applications in category theory and algebraic topology. We show that Vopěnka’s Principle and Vopěnka cardinals are relatively consistent with a broad range of other principles known to be independent of standard (ZFC) set theory, such as the Generalised Continuum Hypothesis, and the existence of a definable well-order on the universe of all sets. We achieve this by showing that they are indestructible under a broad class of forcing constructions, (...)
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  3.  29
    Large cardinals and gap-1 morasses.Andrew D. Brooke-Taylor & Sy-David Friedman - 2009 - Annals of Pure and Applied Logic 159 (1-2):71-99.
    We present a new partial order for directly forcing morasses to exist that enjoys a significant homogeneity property. We then use this forcing in a reverse Easton iteration to obtain an extension universe with morasses at every regular uncountable cardinal, while preserving all n-superstrong , hyperstrong and 1-extendible cardinals. In the latter case, a preliminary forcing to make the GCH hold is required. Our forcing yields morasses that satisfy an extra property related to the homogeneity of the (...)
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  4.  61
    Destruction or preservation as you like it.Joel David Hamkins - 1998 - Annals of Pure and Applied Logic 91 (2-3):191-229.
    The Gap Forcing Theorem, a key contribution of this paper, implies essentially that after any reverse Easton iteration of closed forcing, such as the Laver preparation, every supercompactness measure on a supercompact cardinal extends a measure from the ground model. Thus, such forcing can create no new supercompact cardinals, and, if the GCH holds, neither can it increase the degree of supercompactness of any cardinal; in particular, it can create no new measurable cardinals. In a crescendo of (...)
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  5.  46
    Perfect trees and elementary embeddings.Sy-David Friedman & Katherine Thompson - 2008 - Journal of Symbolic Logic 73 (3):906-918.
    An important technique in large cardinal set theory is that of extending an elementary embedding j: M → N between inner models to an elementary embedding j*: M[G] → N[G*] between generic extensions of them. This technique is crucial both in the study of large cardinal preservation and of internal consistency. In easy cases, such as when forcing to make the GCH hold while preserving a measurable cardinal (via a reverse Easton iteration of α-Cohen forcing for successor (...)
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  6.  53
    Identity crises and strong compactness.Arthur W. Apter & James Cummings - 2000 - Journal of Symbolic Logic 65 (4):1895-1910.
    Combining techniques of the first author and Shelah with ideas of Magidor, we show how to get a model in which, for fixed but arbitrary finite n, the first n strongly compact cardinals κ 1 ,..., κ n are so that κ i for i = 1,..., n is both the i th measurable cardinal and κ + i supercompact. This generalizes an unpublished theorem of Magidor and answers a question of Apter and Shelah.
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  7.  9
    Lifting elementary embeddings j: Vλ → Vλ.Paul Corazza - 2007 - Archive for Mathematical Logic 46 (2):61-72.
    We describe a fairly general procedure for preserving I3 embeddings j: Vλ → Vλ via λ-stage reverse Easton iterated forcings. We use this method to prove that, assuming the consistency of an I3 embedding, V = HOD is consistent with the theory ZFC + WA where WA is an axiom schema in the language {∈, j} asserting a strong but not inconsistent form of “there is an elementary embedding V → V”. This improves upon an earlier result in (...)
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  8.  74
    Large cardinals and definable well-orders on the universe.Andrew D. Brooke-Taylor - 2009 - Journal of Symbolic Logic 74 (2):641-654.
    We use a reverse Easton forcing iteration to obtain a universe with a definable well-order, while preserving the GCH and proper classes of a variety of very large cardinals. This is achieved by coding using the principle ◊ $_{k^ - }^* $ at a proper class of cardinals k. By choosing the cardinals at which coding occurs sufficiently sparsely, we are able to lift the embeddings witnessing the large cardinal properties without having to meet any non-trivial master (...)
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  9.  61
    Lifting elementary embeddings j: V λ → V λ. [REVIEW]Paul Corazza - 2007 - Archive for Mathematical Logic 46 (2):61-72.
    We describe a fairly general procedure for preserving I3 embeddings j: V λ → V λ via λ-stage reverse Easton iterated forcings. We use this method to prove that, assuming the consistency of an I3 embedding, V = HOD is consistent with the theory ZFC + WA where WA is an axiom schema in the language {∈, j} asserting a strong but not inconsistent form of “there is an elementary embedding V → V”. This improves upon an earlier (...)
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  10.  5
    On Easton Support Iteration of Prikry-Type Forcing Notions.Moti Gitik & Eyal Kaplan - forthcoming - Journal of Symbolic Logic:1-46.
    We consider of constructing normal ultrafilters in extensions are here Easton support iterations of Prikry-type forcing notions. New ways presented. It turns out that, in contrast with other supports, seemingly unrelated measures or extenders can be involved here.
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  11. 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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  12. 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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  13.  13
    Easton collapses and a strongly saturated filter.Masahiro Shioya - 2020 - Archive for Mathematical Logic 59 (7-8):1027-1036.
    We introduce the Easton collapse and show that the two-stage iteration of Easton collapses gives a model in which the successor of a regular cardinal carries a strongly saturated filter. This allows one to get a model in which many successor cardinals carry saturated filters just by iterating Easton collapses.
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  14.  15
    Halin’s infinite ray theorems: Complexity and reverse mathematics.James S. Barnes, Jun Le Goh & Richard A. Shore - forthcoming - Journal of Mathematical Logic.
    Halin in 1965 proved that if a graph has [Formula: see text] many pairwise disjoint rays for each [Formula: see text] then it has infinitely many pairwise disjoint rays. We analyze the complexity of this and other similar results in terms of computable and proof theoretic complexity. The statement of Halin’s theorem and the construction proving it seem very much like standard versions of compactness arguments such as König’s Lemma. Those results, while not computable, are relatively simple. They only use (...)
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  15.  6
    Truth in Science and ‘Truth’ in Religion: An Enquiry into Student Views on Different Types of Truth-Claim.Christina Easton - 2019 - In Berry Billingsley, Keith Chappell & Michael J. Reiss (eds.), Science and Religion in Education. Springer Verlag. pp. 123-139.
    Using focus groups, this small-scale, qualitative study investigated the way that students tend to think about religious truth-claims as compared to other types of truth-claim. All the student participants conceived of religious truth-claims as ‘opinions’, to be contrasted with the certain, indisputable ‘facts’ of science. For many students, it was the lack of empirical verification, as well as the existence of disagreement, which meant religious beliefs were relegated to this position. If these findings are generalisable, then there are implications for (...)
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  16.  61
    Autonomy and the Free Speech Principle.Susan Easton - 1995 - Journal of Applied Philosophy 12 (1):27-39.
    ABSTRACT Autonomy may be used to justify free speech claims where the right is raised against the state but also to justify state intervention intended to promote autonomy which may entail restraints on others' speech. The appeal to diversity and autonomy may be used by both sides of the pornography and censorship debate. Although autonomy may be invoked in defence of pornography as part of the general defence of free speech, it is argued that autonomy favours the regulation of pornography. (...)
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  17.  17
    The Young Hegelians.Loyd D. Easton - 1971 - Philosophy and Phenomenological Research 32 (2):288-289.
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  18.  27
    Reducing omega-model reflection to iterated syntactic reflection.Fedor Pakhomov & James Walsh - 2021 - Journal of Mathematical Logic 23 (2).
    Journal of Mathematical Logic, Volume 23, Issue 02, August 2023. In mathematical logic there are two seemingly distinct kinds of principles called “reflection principles.” Semantic reflection principles assert that if a formula holds in the whole universe, then it holds in a set-sized model. Syntactic reflection principles assert that every provable sentence from some complexity class is true. In this paper, we study connections between these two kinds of reflection principles in the setting of second-order arithmetic. We prove that, for (...)
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  19.  17
    Perspectives from tech industry: designer Geoff Stead on Iteration as a built-in goal of mobile app design.Geoff Stead & Clare Foster - forthcoming - AI and Society:1-5.
    A symposium was held at the Centre for Research in the Arts, Social Sciences and Humanities at the University of Cambridge on June 12th 2019, ‘Rethinking Repetition in a Digital Age’, at which Geoff Stead, a leading mobile tech designer, was a keynote speaker. The focus of the Cambridge UK event was on how the potentials of digital technologies—whose harms have received widespread attention—could be redirected for the social good. For Stead, this is precisely what Babbel are doing in their (...)
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  20. The Problem of Evil in Early Modern Philosophy (review).Patricia Easton - 2003 - Journal of the History of Philosophy 41 (4):559-560.
    In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 41.4 (2003) 559-560 [Access article in PDF] Elmar J. Kremer and Michael J. Latzer, editors. The Problem of Evil in Early Modern Philosophy. Toronto: University of Toronto Press, 2001. Pp. vi + 179. Cloth, $60.00. What can be added to classical defenses of the problem of evil? Did Voltairenotrelieve us from taking seriously the theodicies of early modern thinkers in Candide when Pangloss (...)
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  21. 'Filling the Ranks': Moral Risk and the Ethics of Military Recruitment.Jonathan Parry & Christina Easton - forthcoming - American Political Science Review.
    If states are permitted to create and maintain a military force, by what means are they permitted to do so? This paper argues that a theory of just recruitment should incorporate a concern for moral risk. Since the military is a morally risky profession for its members, recruitment policies should be evaluated in terms of how they distribute moral risk within a community. We show how common military recruitment practices exacerbate and concentrate moral risk exposure, using the UK as a (...)
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  22.  13
    A Survey of Marxism: Problems in Philosophy and the Theory of History.Loyd D. Easton - 1965 - Science and Society 31 (3):359-364.
  23.  27
    Christ in the Gospels.Burton Scott Easton - 1931 - The Monist 41 (4):638-638.
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  24.  15
    Inferences about the efferent system based on a perceptual illusion produced by eye movements.Leon Festinger & A. Montague Easton - 1974 - Psychological Review 81 (1):44-58.
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  25. Morbid jealousy as a function of fitness-related life-cycle dimensions.Lucas D. Schipper, Judith A. Easton & Todd K. Shackelford - 2006 - Behavioral and Brain Sciences 29 (6):630-630.
    We suggest that morbid jealousy falls on the extreme end of a jealousy continuum. Thus, many features associated with normal jealousy will be present in individuals diagnosed with morbid jealousy. We apply Boyer & Lienard's (B&L's) prediction one (P1; target article, sect. 7.1) to morbid jealousy, suggesting that fitness-related life-cycle dimensions predict sensitivity to cues, and frequency, intensity, and content of intrusive thoughts of partner infidelity. (Published Online February 8 2007).
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  26. A Systems Analysis of Political Life.D. Easton - 1965
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  27.  13
    The great art or the rules of algebra.Joy B. Easton - 1972 - Studies in History and Philosophy of Science Part A 2 (4):363-368.
    Review of Richard Witmer (ed. & transl.), The great art or rules of algebra: Girolamo Cardano. Cambridge, MA, 1968.
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  28.  41
    Consciousness and cognition may be mediated by multiple independent coherent ensembles.E. Roy John, Paul Easton & Robert Isenhart - 1997 - Consciousness and Cognition 6 (1):3-39.
    Short-term or working memory provides temporary storage of information in the brain after an experience and is associated with conscious awareness. Neurons sensitive to the multiple stimulus attributes comprising an experience are distributed within many brain regions. Such distributed cell assemblies, activated by an event, are the most plausible system to represent the WM of that event. Studies with a variety of imaging technologies have implicated widespread brain regions in the mediation of WM for different categories of information. Each kind (...)
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  29.  27
    Cartesian Views: Papers Presented to Richard A. Watson[REVIEW]Patricia A. Easton - 2008 - Journal of the History of Philosophy 46 (2):320-321.
    Cartesian Views is a fitting tribute to a man of many parts, to use Alison Wylie’s apt description . Richard A. Watson has provoked, evoked, and invoked new directions in Cartesian scholarship—both methodologically and substantively. Watson’s Downfall of Cartesianism and its sequel, The Breakdown of Metaphysics , have become required reading for students of early modern philosophy and are largely responsible for the revival of many “minor” Cartesians, while serving as sourcebook for methodological attention to history and rational reconstruction. Cartesian (...)
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  30.  52
    Women and ‘the philosophical personality’: evaluating whether gender differences in the Cognitive Reflection Test have significance for explaining the gender gap in Philosophy.Christina Easton - 2018 - Synthese 198 (1):139-167.
    The Cognitive Reflection Test is purported to test our inclination to overcome impulsive, intuitive thought with effortful, rational reflection. Research suggests that philosophers tend to perform better on this test than non-philosophers, and that men tend to perform better than women. Taken together, these findings could be interpreted as partially explaining the gender gap that exists in Philosophy: there are fewer women in Philosophy because women are less likely to possess the ideal ‘philosophical personality’. If this explanation for the gender (...)
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  31. The Political System.David Easton - 1954 - Philosophy and Phenomenological Research 15 (1):131-132.
  32.  44
    Defining the scope of implied consent in the emergency department.Raul B. Easton, Mark A. Graber, Jay Monnahan & Jason Hughes - 2007 - American Journal of Bioethics 7 (12):35 – 38.
    Purpose: To determine the relative value that patients place on consent for procedures in the emergency department (ED) and to define a set of procedures that fall in the realm of implied consent. Methods: A questionnaire was administered to a convenience sample 134 of 174 patients who were seen in the ED of a Midwestern teaching hospital. The questionnaire asked how much time they believed was necessary to give consent for various procedures. Procedures ranged from simple (venipuncture) to complex (procedural (...)
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  33.  87
    Why the adaptationist perspective must be considered: The example of morbid jealousy.A. Easton Judith, D. Schipper Lucas & K. Shackelford Todd - 2006 - Behavioral and Brain Sciences 29 (4):411-412.
    We describe delusional disorder–jealous type (“morbid jealousy”) with the adaptationist perspective used by Darwinian psychiatrists and evolutionary psychologists to explain the relatively common existence and continued prevalence of mental disorders. We then apply the “harmful dysfunction” analysis to morbid jealousy, including a discussion of this disorder as (1) an end on a continuum of normal jealousy or (2) a discrete entity. (Published Online November 9 2006).
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  34. A Critique of Easton on the Moral Foundations of Theoretical Research in Political Science. [REVIEW]David Easton - 1955 - Ethics 65 (3):201-205.
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  35. What is at stake in the cartesian debates on the eternal truths?Patricia Easton - 2009 - Philosophy Compass 4 (2):348-362.
    Descartes's claim that the eternal truths were freely created by God is fraught with interpretive difficulties. The main arguments in the literature are classified as concerning the ontological status or the modalities of possibility and necessity of the eternal truths. The views of the principal defenders of the Creation Doctrine – Robert Desgabets, Pierre Sylvain Régis, and Antoine Le Grand are contrasted with those of Nicolas Malebranche. In clarifying the theological, ontological, and logical terms of the debate we can see (...)
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  36. Philosophical Analysis and Human Welfare; Selected Essays and Chapters from Six Decades.Dickinson S. Miller & Loyd D. Easton - 1976 - Transactions of the Charles S. Peirce Society 12 (4):402-407.
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  37.  82
    Visual–Auditory Events: Cross-Modal Perceptual Priming and Recognition Memory.Anthony J. Greene, Randolph D. Easton & Lisa S. R. LaShell - 2001 - Consciousness and Cognition 10 (3):425-435.
    Modality specificity in priming is taken as evidence for independent perceptual systems. However, Easton, Greene, and Srinivas (1997) showed that visual and haptic cross-modal priming is comparable in magnitude to within-modal priming. Where appropriate, perceptual systems might share like information. To test this, we assessed priming and recognition for visual and auditory events, within- and across- modalities. On the visual test, auditory study resulted in no priming. On the auditory priming test, visual study resulted in priming that was only (...)
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  38.  12
    Response to Open Peer Commentaries on "Defining the Scope of Implied Consent in the Emergency Department".Mark Graber & Raul Easton - 2007 - American Journal of Bioethics 7 (12):3-4.
    Purpose: To determine the relative value that patients place on consent for procedures in the emergency department and to define a set of procedures that fall in the realm of implied consent. Methods: A questionnaire was administered to a convenience sample 134 of 174 patients who were seen in the ED of a Midwestern teaching hospital. The questionnaire asked how much time they believed was necessary to give consent for various procedures. Procedures ranged from simple to complex. Results: Participants valued (...)
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  39.  16
    Antoine le grand.Patricia Easton - 2008 - Stanford Encyclopedia of Philosophy.
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  40.  78
    Philosophy of medicine in the united kingdom.David Lamb & Susan M. Easton - 1982 - Theoretical Medicine and Bioethics 3 (1):3-34.
    This report explores the relationship between philosophy and medicine in the U.K. We note that medical training involves very little formal instruction in philosophy and ethics, and that, with few exceptions, philosophers in the U.K. do not contribute to the instruction of physicians or the philosophy of medicine. However, reviewing the problems arising out of recent developments within scientific medicine we find a pressing need for future philosophical analysis in the following areas: psychiatry, organ transplantation, abortion, euthanasia, experiments on living (...)
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  41.  29
    Philosophy of medicine in the United Kingdom.David Lamb & Susan M. Easton - 1982 - Metamedicine 3 (1):3-34.
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  42.  22
    Dietary double-think.Christina Easton - 2019 - Think 18 (52):75-80.
    This article discusses how difficult it is to be morally consistent when choosing what to eat. Applying a moral justification in a consistent manner may result in some unorthodox diets. I distinguish two ways in which we might be inconsistent in our approach to food. We might fail to apply our morals in a consistent way, or we might fail to put our morals into practice at all. I argue that the latter represents a greater failing. Given the complexity of (...)
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  43.  36
    Hegelianism in Nineteenth-Century Ohio.Loyd D. Easton - 1962 - Journal of the History of Ideas 23 (3):355.
  44. Alienation and empiricism in Marx's thought.Loyd D. Easton - forthcoming - Social Research: An International Quarterly.
     
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  45.  98
    Teaching Liberal Values: The Case of Promoting ‘British Values’ in Schools.Christina Easton - 2022 - In Julian Culp, Johannes Drerup, Isolde de Groot, Anders Schinkel & Douglas Yacek (eds.), Liberal Democratic Education: A Paradigm in Crisis. Brill Mentis. pp. 47-66.
    I analyse the 2014 policy to promote 'British values' in schools from the perspective of the two main positions in contemporary liberal theory, comprehensive liberalism and political liberalism. I highlight in what ways comprehensive and political liberal defences of the policy are unsatisfactory, before briefly sketching a possible alternative position – ‘thin comprehensive liberalism’ – and discussing its potential for justifying a substantive education in liberal values. In light of this theoretical perspective, I suggest some ways that the existing British (...)
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  46.  29
    LGBT‐Inclusive Education in Liberal Pluralist Societies.Christina Elizabeth Easton - 2023 - Journal of Applied Philosophy 40 (3):550-568.
    What should be the aim of LGBT-inclusive, state-mandated curricula in liberal, pluralist societies? In this article, I identify two distinct aims that such curricula might have. The first, LGBT Respect, aims to teach that LGBT individuals have equal political status and rights. The second, LGBT Approval, aims to teach a positive attitude towards LGBT relationships, including that there is nothing wrongful about these forms of relationship. I examine what arguments in favour of these different aims are available to the liberal (...)
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  47.  11
    Robert desgabets.Patricia Easton - 2008 - Stanford Encyclopedia of Philosophy.
  48.  23
    Logic and the Workings of the Mind: The Logic of Ideas and Faculty Psychology in Early Modern Philosophy.Patricia A. Easton - 1997
  49. Roger Bacon and His Search for a Universal Science.Stewart C. Easton - 1953 - Philosophy 28 (107):370-371.
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  50.  81
    Teaching & learning guide for: What is at stake in the cartesian debates on the eternal truths?Patricia Easton - 2009 - Philosophy Compass 4 (5):880-884.
    Any study of the 'Scientific Revolution' and particularly Descartes' role in the debates surrounding the conception of nature (atoms and the void v. plenum theory, the role of mathematics and experiment in natural knowledge, the status and derivation of the laws of nature, the eternality and necessity of eternal truths, etc.) should be placed in the philosophical, scientific, theological, and sociological context of its time. Seventeenth-century debates concerning the nature of the eternal truths such as '2 + 2 = 4' (...)
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