Results for 'Ideals on the plane'

981 found
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  1. On ideals of subsets of the plane and on Cohen reals.Jacek Cichoń & Janusz Pawlikowski - 1986 - Journal of Symbolic Logic 51 (3):560-569.
    Let J be any proper ideal of subsets of the real line R which contains all finite subsets of R. We define an ideal J * ∣B as follows: X ∈ J * ∣B if there exists a Borel set $B \subset R \times R$ such that $X \subset B$ and for any x ∈ R we have $\{y \in R: \langle x,y\rangle \in B\} \in \mathscr{J}$ . We show that there exists a family $\mathscr{A} \subset \mathscr{J}^\ast\mid\mathscr{B}$ of power ω (...)
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  2.  19
    On possible restrictions of the null ideal.Ashutosh Kumar & Saharon Shelah - 2019 - Journal of Mathematical Logic 19 (2):1950008.
    We prove that the null ideal restricted to a non-null set of reals could be isomorphic to a variety of sigma ideals. Using this, we show that the following are consistent: (1) There is a non-null subset of plane each of whose non-null subsets contains three collinear points. (2) There is a partition of a non-null set of reals into null sets, each of size [Formula: see text], such that every transversal of this partition is null.
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  3.  88
    Idealization and external symbolic storage: the epistemic and technical dimensions of theoretic cognition.Peter Woelert - 2012 - Phenomenology and the Cognitive Sciences 11 (3):335-366.
    This paper explores some of the constructive dimensions and specifics of human theoretic cognition, combining perspectives from (Husserlian) genetic phenomenology and distributed cognition approaches. I further consult recent psychological research concerning spatial and numerical cognition. The focus is on the nexus between the theoretic development of abstract, idealized geometrical and mathematical notions of space and the development and effective use of environmental cognitive support systems. In my discussion, I show that the evolution of the theoretic cognition of space apparently follows (...)
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  4.  33
    On monotone hull operations.Marek Balcerzak & Tomasz Filipczak - 2011 - Mathematical Logic Quarterly 57 (2):186-193.
    We extend results of Elekes and Máthé on monotone Borel hulls to an abstract setting of measurable space with negligibles. This scheme yields the respective theorems in the case of category and in the cases associated with the Mendez σ-ideals on the plane. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
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  5.  30
    Ideals with bases of unbounded Borel complexity.Piotr Borodulin-Nadzieja & Szymon Gła̧b - 2011 - Mathematical Logic Quarterly 57 (6):582-590.
    We present several naturally defined σ-ideals which have Borel bases but, unlike for the classical examples, these ideals are not of bounded Borel complexity. We investigate set-theoretic properties of such σ-ideals.
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  6.  59
    What is it the Unbodied Spirit cannot do? Berkeley and Barrow on the Nature of Geometrical Construction.Stefan Storrie - 2012 - British Journal for the History of Philosophy 20 (2):249-268.
    In ?155 of his New Theory of Vision Berkeley explains that a hypothetical ?unbodied spirit? ?cannot comprehend the manner wherein geometers describe a right line or circle?.1The reason for this, Berkeley continues, is that ?the rule and compass with their use being things of which it is impossible he should have any notion.? This reference to geometrical tools has led virtually all commentators to conclude that at least one reason why the unbodied spirit cannot have knowledge of plane geometry (...)
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  7.  24
    Cognitive idealization: on the nature and utility of cognitive ideals.Nicholas Rescher - 2003 - London: Cambridge Scholars Press.
    Accordingly, the task of the present book is to consider the role of idealization in cognitive matters and to establish its utility in this realm.
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  8.  16
    Chronotopos of the war at the beginning of the XXI century: military-philosophical aspect.Anatoly Lukin & Sergey Domrachev - 2023 - Sotsium I Vlast 2 (96):27-37.
    Introduction. War as a social phenomenon has always been an object of philosophical reflection, since its results largely determine the further de- velopment of society and have a profound impact on all spheres of social life. In connection with the ongoing so-called special military operation which Russia is conducting in Ukraine and which is at the same time a proxy war of the collective West against our country, the modern philosophical discourse of war is clarified. One of the important aspects (...)
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  9.  44
    The Ideal Benefactor and the Father Analogy in Greek and Roman Thought.T. R. Stevenson - 1992 - Classical Quarterly 42 (02):421-.
    When Cicero uncovered and suppressed the Catilinarian Conspiracy as consul in 63 B.c., supporters hailed him ‘father of his country’ and proposed that he be awarded the oak crown normally given to a soldier who had saved the life of a comrade in battle . Our sources connect these honours with earlier heroes such as Romulus, Camillus and Marius, but the Elder Pliny writes as if Cicero was the first before Caesar and the Emperors to be given the title pater (...)
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  10.  24
    Enforceable Duties: Cicero and Kant on the Legal Nature of Political Order.Benjamin Straumann - 2023 - Jus Cogens 5 (2):255-275.
    This article seeks to show the importance of Cicero for Kant by pointing out the systematic relationship between their respective views on ethics and law. Cicero was important to Kant because Cicero had already elaborated an imperative, “quasi-jural” conception of duty or obligation. Cicero had also already prefigured the distinction between ethical duties and duties of justice. The article does not establish any direct historical influence, but points out interesting systematic overlaps. The most important in the realm of ethics are (...)
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  11.  19
    Lebesgue Measure Zero Modulo Ideals on the Natural Numbers.Viera Gavalová & Diego A. Mejía - forthcoming - Journal of Symbolic Logic:1-31.
    We propose a reformulation of the ideal $\mathcal {N}$ of Lebesgue measure zero sets of reals modulo an ideal J on $\omega $, which we denote by $\mathcal {N}_J$. In the same way, we reformulate the ideal $\mathcal {E}$ generated by $F_\sigma $ measure zero sets of reals modulo J, which we denote by $\mathcal {N}^*_J$. We show that these are $\sigma $ -ideals and that $\mathcal {N}_J=\mathcal {N}$ iff J has the Baire property, which in turn is equivalent (...)
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  12.  35
    Covering a function on the plane by two continuous functions on an uncountable square – the consistency.Mariusz Rabus & Saharon Shelah - 2000 - Annals of Pure and Applied Logic 103 (1-3):229-240.
    It is consistent that for every function there is an uncountable set and two continuous functions such that f {f0, f1} for every A2,α≠β.
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  13.  49
    Clarke and Stroud on the Plane-Spotters.Brian Ribeiro - 2006 - Southwest Philosophy Review 22 (1):25-32.
    In an earlier paper ("Skeptical Parasitism and the Continuity Argument," 'Metaphilosophy' 2004: 714-732) I suggested that the well-known "plane-spotters" story-first proposed by Thompson Clarke and later developed by Barry Stroud-distorts the very skeptical view it aims to elucidate. However, considerations of space prohibited me from fleshing out my criticisms of the Clarke/Stroud story in that paper. In this paper I aim to fill in this lacuna by showing how the Clarke/Stroud story distorts the skeptic's view. I conclude the paper (...)
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  14. The Government of Civil Society and the Self: Adam Smith's Political and Moral Thought.Jeffrey Lomonaco - 1999 - Dissertation, The Johns Hopkins University
    The dissertation seeks to characterize the style of government embodied in Adam Smith's vision of civil society. It is composed of two parts. The first, preparatory part develops a framework for offering a historically sensitive interpretation of Smith's works by drawing on and criticizing the treatment of the eighteenth century in the work of several contemporary political theorists and historians of political thought. Part II gives the full-fledged interpretation of Smith's thought, based on both detailed textual interpretation and broad contextual (...)
     
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  15. Idealization, epistemic logic, and epistemology.Audrey Yap - 2014 - Synthese 191 (14):3351-3366.
    Many criticisms of epistemic logic have centered around its use of devices such as idealized knowers with logical omniscience and perfect self-knowledge. One possible response to such criticisms is to say that these idealizations are normative devices, and that epistemic logic tells us how agents ought to behave. This paper will take a different approach, treating epistemic logic as descriptive, and drawing the analogy between its formal models and idealized scientific models on that basis. Treating it as descriptive matches the (...)
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  16. On the Significance of Ideals: Charles S. Peirce and the Good Life.Clano Aydin - 2009 - Transactions of the Charles S. Peirce Society 45 (3):422.
    The author of this paper starts by sketching a general framework for Peirce's ethical theory: first, he discusses very briefly Peirce's phenomenological categories; then, he outlines some implications of these categories for Peirce's concept of personal identity. In the rest of the paper he discusses successively within this framework Peirce's views on the status of ethics, ideals, concrete reasonableness, evolutionary love, and the relation between the individual and the cosmos. He then argues that these notions, taken together, culminate in (...)
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  17.  12
    Fast moving edge dislocations on the plane in anisotropic body-centred-cubic crystals.J. Weertman - 1962 - Philosophical Magazine 7 (76):617-631.
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  18.  40
    Understanding Scientific Inquiries of Galileo’s Formulation for the Law of Free Falling Motion.Jun-Young Oh - 2016 - Foundations of Science 21 (4):567-578.
    The purpose of this study is to gain a better understanding of the role of abstraction and idealization in Galileo’s scientific inquiries into the law of free falling motion, and their importance in the history of science. Because there is no consensus on the use of the terms “abstraction” and “idealization” in the literature, it is necessary to distinguish between them at the outset. This paper will argue for the importance of abstraction and idealization in physics and the theories and (...)
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  19.  68
    Properties of ideals on the generalized Cantor spaces.Jan Kraszewski - 2001 - Journal of Symbolic Logic 66 (3):1303-1320.
    We define a class of productive σ-ideals of subsets of the Cantor space 2 ω and observe that both σ-ideals of meagre sets and of null sets are in this class. From every productive σ-ideal I we produce a σ-ideal I κ , of subsets of the generalized Cantor space 2 κ . In particular, starting from meagre sets and null sets in 2 ω we obtain meagre sets and null sets in 2 κ , respectively. Then we (...)
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  20.  14
    Help! Is There a Semiotician on the Plane?Massimo Leone - 2017 - American Journal of Semiotics 33 (1/2):113-130.
    “Please, we urgently need a semiotician!” is certainly not the most common request heard in a situation of emergency, yet a time may come when we realize that there are cases that a physician (or another scientist) cannot effectively deal with.Two passengers fight over the same space on a plane, to the point that the pilot is obliged to land and have the two contenders get off at the closest airport. Each of the humanities has a specific way to (...)
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  21.  94
    The Plane of the Present and the New Transactional Paradigm of Time.John G. Cramer - unknown
    The plane of the present is a concept that is useful for discussing the various paradigms of time. Here by ‘plane of the present’ we mean the temporal interface that represents the present instant and that forms the boundary between the past and the future. We use the geometrical term ‘plane’ to indicate an extended surface in the space-time continuum, as opposed to a ‘point’ on some time axis. This point/plane dichotomy is intended to raise issues (...)
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  22.  32
    On the Importance of Questioning Within the Ideal Model of Critical Discussion.Fernando Leal - 2020 - Argumentation 34 (4):405-431.
    Both questions as abstract objects and the speech acts, here called requests, by which we ask them play an enormous role in all argumentative practices. Nonetheless, there is hardly a proper systematic treatment of questions and requests in current argumentation theories. This paper is a first attempt at providing such a systematic treatment. This is achieved by following the ideal model of a critical discussion as elaborated over the years by the Amsterdam school of pragma-dialectics. After introducing the distinction between (...)
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  23. On the origins of ideal objects in science.L. Kvasz - 1995 - Filozofia 50 (1):18-29.
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  24. On the relationship between plane and solid geometry.Andrew Arana & Paolo Mancosu - 2012 - Review of Symbolic Logic 5 (2):294-353.
    Traditional geometry concerns itself with planimetric and stereometric considerations, which are at the root of the division between plane and solid geometry. To raise the issue of the relation between these two areas brings with it a host of different problems that pertain to mathematical practice, epistemology, semantics, ontology, methodology, and logic. In addition, issues of psychology and pedagogy are also important here. To our knowledge there is no single contribution that studies in detail even one of the aforementioned (...)
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  25.  70
    On the definable ideal generated by the plus cupping c.e. degrees.Wei Wang & Decheng Ding - 2007 - Archive for Mathematical Logic 46 (3-4):321-346.
    In this paper, we will prove that the plus cupping degrees generate a definable ideal on c.e. degrees different from other ones known so far, thus answering a question asked by Li and Yang (Proceedings of the 7th and the 8th Asian Logic Conferences. World Scientific Press, Singapore, 2003).
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  26. On the Aesthetic Ideal.Nick Riggle - 2015 - British Journal of Aesthetics 55 (4):433-447.
    How should we pursue aesthetic value, or incorporate it into our lives, if we want to? Is there an ideal of aesthetic life? Philosophers have proposed numerous answers to the analogous question in moral philosophy, but the aesthetic question has received relatively little attention. There is, in essence, a single view, which is that one should develop a sensibility that would give one sweeping access to aesthetic value. I challenge this view on two grounds. First, it threatens to undermine our (...)
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  27.  26
    Moral Sense in Different Senses.Steven G. Smith - 2023 - Journal of Speculative Philosophy 37 (4):545-563.
    ABSTRACT To understand the internal structure of moral positions and the nature of moral disagreements, it would be useful to have a “moral sense” model of our different types of moral sensitivity, from our relatively spontaneous friendliness to our appreciation for traditional community norms, ideal ethical norms, and spiritual appeals to ultimate concern. After the first round of modern moral sense theory in Shaftesbury, Hutcheson, and Edwards, most discussions of the moral sense concept have centered on general theses about moral (...)
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  28.  17
    On the boundary between “religious” and “secular”: The ideal and practice of Neo-Confucian self-cultivation in modern Japanese economic life.Gregory Ornatowski - 1998 - Japanese Journal of Religious Studies 25 (3-4):345-376.
  29.  15
    Nihilism and the ascetic ideal: on the value of asceticism in Nietzschean genealogy.Clademir Araldi - 2019 - Filosofia Unisinos 20 (2).
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  30.  34
    Aristotle on the Ideal Constitution.Fred D. Miller - 2008 - In Georgios Anagnostopoulos (ed.), A Companion to Aristotle. Malden, MA: Wiley-Blackwell. pp. 540–554.
    This chapter contains sections titled: Problems Concerning Aristotle's Ideal Constitution Ideal Theory and Political Practice Criticisms of Previous Ideal Constitutions Aristotle's Ideal State Aristotle Legacy to Ideal Theory Note Bibliography.
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  31.  5
    Observations on the Ideal of Man and the Meaning of Education.Paul Häberlin - 1966 - Paul Häberlin-Gesellschaft.
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  32.  19
    On the structure of Borel ideals in-between the ideals ED and Fin ⊗ Fin in the Katětov order.Pratulananda Das, Rafał Filipów, Szymon Gła̧b & Jacek Tryba - 2021 - Annals of Pure and Applied Logic 172 (8):102976.
  33.  75
    (1 other version)Husserl on the apodictic evidence of ideal laws.Arne Naess - 1954 - Theoria 20 (1-3):53-63.
  34. On the existence of large p-ideals.Winfried Just, A. R. D. Mathias, Karel Prikry & Petr Simon - 1990 - Journal of Symbolic Logic 55 (2):457-465.
    We prove the existence of p-ideals that are nonmeagre subsets of P(ω) under various set-theoretic assumptions.
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  35.  27
    Sunyata and Otherness: Applying Mutually Transformative Categories from Buddhist-Christian Dialogue in Christology.Susie Paulik Babka - 2015 - Buddhist-Christian Studies 35:73-90.
    In lieu of an abstract, here is a brief excerpt of the content:Sunyata and Otherness:Applying Mutually Transformative Categories from Buddhist-Christian Dialogue in ChristologySusie Paulik Babka“The universe is expanding,” the physicists tell us. “But doesn’t an expansion of something mean the presupposition of boundaries?” my naïve mind inquires, thinking too much in terms of discrete substances. Can “something” expand “into” nothing, “into” emptiness? Shot through with “dark energy” (the name an intellectual signifier allowing physicists to speak of the ineffable), the immensity (...)
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  36. The Official Catalog of Potential Literature Selections.Ben Segal - 2011 - Continent 1 (2):136-140.
    continent. 1.2 (2011): 136-140. In early 2011, Cow Heavy Books published The Official Catalog of the Library of Potential Literature , a compendium of catalog 'blurbs' for non-existent desired or ideal texts. Along with Erinrose Mager, I edited the project, in a process that was more like curation as it mainly entailed asking a range of contemporary writers, theorists, and text-makers to send us an entry. What resulted was a creative/critical hybrid anthology, a small book in which each page opens (...)
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  37. The Poetry of Jeroen Mettes.Samuel Vriezen & Steve Pearce - 2012 - Continent 2 (1):22-28.
    continent. 2.1 (2012): 22–28. Jeroen Mettes burst onto the Dutch poetry scene twice. First, in 2005, when he became a strong presence on the nascent Dutch poetry blogosphere overnight as he embarked on his critical project Dichtersalfabet (Poet’s Alphabet). And again in 2011, when to great critical acclaim (and some bafflement) his complete writings were published – almost five years after his far too early death. 2005 was the year in which Dutch poetry blogging exploded. That year saw the foundation (...)
     
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  38.  55
    Causality and Statistics on the Groenewold–Moyal Plane.A. P. Balachandran, Anosh Joseph & Pramod Padmanabhan - 2010 - Foundations of Physics 40 (7):692-702.
    Quantum theories constructed on the noncommutative spacetime called the Groenewold–Moyal plane exhibit many interesting properties such as Lorentz and CPT noninvariance, causality violation and twisted statistics. We show that such violations lead to many striking features that may be tested experimentally. These theories predict Pauli forbidden transitions due to twisted statistics, anisotropies in the cosmic microwave background radiation due to correlations of observables in spacelike regions and Lorentz and CPT violations in scattering amplitudes.
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  39.  19
    On the ideal J[κ].Assaf Rinot - 2022 - Annals of Pure and Applied Logic 173 (2):103055.
  40.  65
    On the historical and ideal nature of human rights: Reading human rights and human diversity by A.J.m.Milne.Han Zhen - 2002 - Educational Philosophy and Theory 34 (2):239–246.
  41.  29
    On the extendability to $$\mathbf {\Pi }_3^0$$ ideals and Katětov order.Jialiang He, Jintao Luo & Shuguo Zhang - 2024 - Archive for Mathematical Logic 63 (5):523-528.
    We show that there is a $$ \varvec{\Sigma }_4^0$$ ideal such that it’s neither extendable to any $$ \varvec{\Pi }_3^0$$ ideal nor above the ideal $$ \textrm{Fin}\times \textrm{Fin} $$ in the sense of Katětov order, answering a question from M. Hrušák.
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  42. Report on the March 23-25, 2000 Pavia conference on republican ideals in the modern age.M. Platania - 2000 - Rivista di Storia Della Filosofia 55 (2):281-287.
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  43. On the Confusion between Ideal and Non-ideal in Recent Debates on Global Justice.Lea Ypi - 2010 - Political Studies 58 (3).
  44.  39
    On the materialist interpretation of the ideal by Evald Ilyenkov.Keti Chukhrov - 2021 - Studies in East European Thought 74 (1):57-74.
    This paper explores the materialist and the object-based dimension of “the ideal” in Evald Ilyenkov’s thought and, consequently, his speculative technique of converging matter and idea. The philosophic figures that Ilyenkov relies on to legitimate such a convergence are Hegel, Spinoza, and Marx. The paper reveals the complexities in Ilyenkov’s task to reconcile his dialectics of the ideal with Spinoza’s studies of Substance, tracing the discrepancies in Ilyenkov’s attempt to conjoin Hegelian and Marxian dialectics and Spinoza’s nonidealist immanentism. The reference (...)
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  45.  75
    On the Relations Between Parents' Ideals and Children's Autonomy.Doret J. de Ruyter & Anders Schinkel - 2013 - Educational Theory 63 (4):369-388.
    In this article Doret J. de Ruyter and Anders Schinkel argue that parents' ideals can enhance children's autonomy, but that they may also have a detrimental effect on the development of children's autonomy. After describing the concept of ideals and elucidating a systems theoretical conception of autonomy, de Ruyter and Schinkel explore the ways in which the ideals of parents may play a role in the development of their children's autonomy. They show that abstract and complex (...) of parents (be it ideals for their children, ideals with regard to their parenthood, or their personal ideals) are most likely to enhance their children's autonomy. They also explain that an authoritative parenting style is most conducive to autonomy, although whether or not it does benefit children's autonomy also depends on the types of ideals pursued by parents. (shrink)
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  46.  45
    The varieties of idealization and the politics of economic growth: a case study on modality and the methodology of normative political philosophy.David Plunkett - 2024 - Inquiry: An Interdisciplinary Journal of Philosophy 67 (6):1908-1946.
    Are societies required to pursue continual economic growth as a matter of justice? In “The Value of Economic Growth”, Julie Rose considers three arguments in favor of the need for continual economic growth, each of which revolves around the instrumental value of economic growth for promoting an important good that is needed for a just society. In each case, Rose argues that there are mechanisms other than economic growth that could allow a society to deliver the relevant goods, and thus (...)
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  47.  18
    Forcing Axioms and the Definability of the Nonstationary Ideal on the First Uncountable.Stefan Hoffelner, Paul Larson, Ralf Schindler & W. U. Liuzhen - 2024 - Journal of Symbolic Logic 89 (4):1641-1658.
    We show that under $\mathsf {BMM}$ and “there exists a Woodin cardinal, $"$ the nonstationary ideal on $\omega _1$ cannot be defined by a $\Pi _1$ formula with parameter $A \subset \omega _1$. We show that the same conclusion holds under the assumption of Woodin’s $(\ast )$ -axiom. We further show that there are universes where $\mathsf {BPFA}$ holds and $\text {NS}_{\omega _1}$ is $\Pi _1(\{\omega _1\})$ -definable. Lastly we show that if the canonical inner model with one Woodin cardinal (...)
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  48.  77
    On the Ideal of Autonomous Science.Dan Hicks - 2011 - Philosophy of Science 78 (5):1235-1248.
    In this article I first use Alasdair MacIntyre’s conception of a practice to develop a version of the common, although increasingly controversial, ideal of value-free, value-neutral, or autonomous science. I then briefly show how this ideal has been used by some philosophers to criticize both governmental and commercial funding of science. I go on to argue that, far from being value neutral, certain elements of this ideal strongly resemble some controversial elements of libertarian political philosophy. I suggest that alternative (...) for science might be developed by drawing on egalitarian liberal and communitarian political philosophy. (shrink)
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  49.  42
    On the universality of the nonstationary ideal.Sean D. Cox - 2018 - Mathematical Logic Quarterly 64 (1-2):103-117.
    Burke proved that the generalized nonstationary ideal, denoted by NS, is universal in the following sense: every normal ideal, and every tower of normal ideals of inaccessible height, is a canonical Rudin‐Keisler projection of the restriction of NS to some stationary set. We investigate how far Burke's theorem can be pushed, by analyzing the universality properties of NS with respect to the wider class of ‐systems of filters introduced by Audrito and Steila. First we answer a question of Audrito (...)
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  50.  26
    Reflections on the Nature of the Homo Sapiens and On the Ideal of Wisdom According to Charles de Bovelles.Jean-Claude Margolin - 2011 - Intellectual History Review 21 (3):281-295.
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