Results for 'sweet forcing notions'

999 found
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  1.  37
    Sweet & sour and other flavours of ccc forcing notions.Andrzej Rosłanowski & Saharon Shelah - 2004 - Archive for Mathematical Logic 43 (5):583-663.
    We continue developing the general theory of forcing notions built with the use of norms on possibilities, this time concentrating on ccc forcing notions and classifying them.
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  2.  55
    Universal forcing notions and ideals.Andrzej Rosłanowski & Saharon Shelah - 2007 - Archive for Mathematical Logic 46 (3-4):179-196.
    Our main result states that a finite iteration of Universal Meager forcing notions adds generic filters for many forcing notions determined by universality parameters. We also give some results concerning cardinal characteristics of the σ-ideals determined by those universality parameters.
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  3.  13
    How much sweetness is there in the universe?Andrzej Rosłanowski & Saharon Shelah - 2006 - Mathematical Logic Quarterly 52 (1):71-86.
    We continue investigations of forcing notions with strong ccc properties introducing new methods of building sweet forcing notions. We also show that quotients of topologically sweet forcing notions over Cohen reals are topologically sweet while the quotients over random reals do not have to be such.
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  4.  33
    The Birth of "The Birth of Tragedy".Dennis Sweet - 1999 - Journal of the History of Ideas 60 (2):345-359.
    In lieu of an abstract, here is a brief excerpt of the content:The Birth of The Birth of TragedyDennis SweetIntroductionNietzsche’s first book, The Birth of Tragedy, is ostensibly an account of the psychological motives behind the creation and modifications of Greek drama, but it is really much more than this. It is the author’s first attempt to understand the dynamic processes of human creativity in general—a concern that would occupy him throughout his career. When we look at his own estimation (...)
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  5.  16
    A forcing notion related to Hindman’s theorem.Luz María García-Ávila - 2015 - Archive for Mathematical Logic 54 (1-2):133-159.
    We give proofs of Ramsey’s and Hindman’s theorems in which the corresponding homogeneous sets are found with a forcing argument. The object of this paper is the study of the partial order involved in the proof of Hindman’s theorem. We are going to denote it by PFIN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{P}_{FIN}}$$\end{document}. As a main result, we prove that Mathias forcing does not add Matet reals, which implies that PFIN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} (...)
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  6.  59
    Simple forcing notions and forcing axioms.Andrzej Rosłanowski & Saharon Shelah - 1997 - Journal of Symbolic Logic 62 (4):1297-1314.
  7.  44
    Human Rights and Cultural Diversity.William Sweet - 1998 - International Journal of Applied Philosophy 12 (1):117-132.
    In this paper, I discuss some challenges to the discourse of universal human rights made by those who insist that the existence of pluralism and cultural diversity count against it. I focus on arguments made in a recent article by Vinay Lal but also address several other criticisms of universal human rights-arguments hinted at, but not elaborated, by Lal. I maintain that these challenges frequently fail to distinguish the discourse of human rights from its adoption by certain states to advance (...)
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  8.  27
    Forcing notions in inner models.David Asperó - 2009 - Archive for Mathematical Logic 48 (7):643-651.
    There is a partial order ${\mathbb{P}}$ preserving stationary subsets of ω 1 and forcing that every partial order in the ground model V that collapses a sufficiently large ordinal to ω 1 over V also collapses ω 1 over ${V^{\mathbb{P}}}$ . The proof of this uses a coding of reals into ordinals by proper forcing discovered by Justin Moore and a symmetric extension of the universe in which the Axiom of Choice fails. Also, using one feature of the (...)
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  9.  32
    Integrative biology of sticky feet in geckos.Eric R. Pianka & Samuel S. Sweet - 2005 - Bioessays 27 (6):647-652.
    Geckos have gained ecological access to novel microhabitats by exploiting intermolecular van der Waals forces, which allow them to climb smooth vertical surfaces. They use microscopic surface‐based phenomena to thrive in a macroscopic mass‐ and kinetic energy‐based world. Here we detail this as a premier example of integrative biology, spanning seven orders of magnitude and a lot of interesting biology. Emergent properties arising from molecular adhesion include several adaptive radiations that have produced a great diversity of geckos worldwide. BioEssays 27:647–652, (...)
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  10.  12
    The Birth of "The Birth of Tragedy".Dennis Sweet - 1999 - Journal of the History of Ideas 60 (2):345.
    In lieu of an abstract, here is a brief excerpt of the content:The Birth of The Birth of TragedyDennis SweetIntroductionNietzsche’s first book, The Birth of Tragedy, is ostensibly an account of the psychological motives behind the creation and modifications of Greek drama, but it is really much more than this. It is the author’s first attempt to understand the dynamic processes of human creativity in general—a concern that would occupy him throughout his career. When we look at his own estimation (...)
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  11.  28
    A forcing notion collapsing $\aleph _3 $ and preserving all other cardinals.David Asperó - 2018 - Journal of Symbolic Logic 83 (4):1579-1594.
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  12.  21
    Some considerations on amoeba forcing notions.Giorgio Laguzzi - 2014 - Archive for Mathematical Logic 53 (5-6):487-502.
    In this paper we analyse some notions of amoeba for tree forcings. In particular we introduce an amoeba-Silver and prove that it satisfies quasi pure decision but not pure decision. Further we define an amoeba-Sacks and prove that it satisfies the Laver property. We also show some application to regularity properties. We finally present a generalized version of amoeba and discuss some interesting associated questions.
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  13.  43
    More forcing notions imply diamond.Andrzej Rosłanowski & Saharon Shelah - 1996 - Archive for Mathematical Logic 35 (5-6):299-313.
    We prove that the Sacks forcing collapses the continuum onto ${\frak d}$ , answering the question of Carlson and Laver. Next we prove that if a proper forcing of the size at most continuum collapses $\omega_2$ then it forces $\diamondsuit_{\omega_{1}}$.
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  14.  31
    Kant and the Culture of Discipline.Kristi Sweet - 2010 - Epoché: A Journal for the History of Philosophy 15 (1):121-138.
    Kant’s notion of culture is typically treated in the context of his philosophy of history. In this paper, however, I explore the importance of culture for Kant’s doctrine of virtue, and argue that culture affords a new way—contra immortality—to think the possibility of attaining virtue. As I show, Kant identifies culture as a site of the self-effacement of nature in its influence on the will. Because of this, we see that for Kant the task of virtue encounters nature not only (...)
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  15.  36
    The Echo of Evil.Pierre Kerszberg - 1999 - Graduate Faculty Philosophy Journal 21 (2):195-216.
    I borrow the notion of echo from Proust. Proust describes the last phase in the experience of a love that has died down in the following terms: “While the great tide of love has ebbed forever, yet, strolling through ourselves, we can still gather strange and charming sea shells and, lifting them to the ear, can hear, with a melancholy pleasure and without suffering, the mighty roar of the past.” Someone whom we have loved utterly but love no more is (...)
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  16.  10
    Real Will and Aesthetic Consciousness in Bernard Bosanquet.William Sweet - 2022 - Collingwood and British Idealism Studies 28 (2):85-109.
    The British idealist philosopher Bernard Bosanquet argues that the legitimacy of the law and the obligation to obey the law are rooted in what he calls the ‘real will.’ This notion of the real will, however, has often been claimed to be problematic. In this paper, I argue that the notion of the real or general will can be made clearer and, arguably, more satisfactory, if one looks at Bosanquet’s notion of aesthetic consciousness. I provide a short account of Bosanquet’s (...)
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  17. Objective Knowledge and Self-Consciousness: The Role of Kant's Theory of Apperceptive Self-Identity in the "Critique of Pure Reason".Dennis J. Sweet - 1989 - Dissertation, The University of Iowa
    Kant's purpose in the Critique of Pure Reason was to describe the nature and set the boundaries of human knowledge. At the heart of this ambitious enterprise is his doctrine of apperceptive self-identity. He insists that in order for us to know anything, there must be a unitary self capable of being aware of its own identity over time. Unfortunately, Kant's descriptions of this unitary 'I think' are extremely obscure, and his accounts of how it functions in the first Critique's (...)
     
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  18.  24
    More on simple forcing notions and forcings with ideals.M. Gitik & S. Shelah - 1993 - Annals of Pure and Applied Logic 59 (3):219-238.
    It is shown that cardinals below a real-valued measurable cardinal can be split into finitely many intervals so that the powers of cardinals from the same interval are the same. This generalizes a theorem of Prikry [9]. Suppose that the forcing with a κ-complete ideal over κ is isomorphic to the forcing of λ-Cohen or random reals. Then for some τ<κ, λτ2κ and λ2<κ implies that 2κ=2τ= cov. In particular, if 2κ<κ+ω, then λ=2κ. This answers a question from (...)
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  19.  22
    Combinatorial properties of classical forcing notions.Jörg Brendle - 1995 - Annals of Pure and Applied Logic 73 (2):143-170.
    We investigate the effect of adding a single real on cardinal invariants associated with the continuum. We show:1. adding an eventually different or a localization real adjoins a Luzin set of size continuum and a mad family of size ω1;2. Laver and Mathias forcing collapse the dominating number to ω1, and thus two Laver or Mathias reals added iteratively always force CH;3. Miller's rational perfect set forcing preserves the axiom MA.
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  20.  35
    More about λ-support iterations of (<λ)-complete forcing notions.Andrzej Rosłanowski & Saharon Shelah - 2013 - Archive for Mathematical Logic 52 (5-6):603-629.
    This article continues Rosłanowski and Shelah (Int J Math Math Sci 28:63–82, 2001; Quaderni di Matematica 17:195–239, 2006; Israel J Math 159:109–174, 2007; 2011; Notre Dame J Formal Logic 52:113–147, 2011) and we introduce here a new property of (<λ)-strategically complete forcing notions which implies that their λ-support iterations do not collapse λ + (for a strongly inaccessible cardinal λ).
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  21.  17
    A formalism for some class of forcing notions.Piotr Koszmider & P. Koszmider - 1992 - Mathematical Logic Quarterly 38 (1):413-421.
    We introduce a class of forcing notions, called forcing notions of type S, which contains among other Sacks forcing, Prikry-Silver forcing and their iterations and products with countable supports. We construct and investigate some formalism suitable for this forcing notions, which allows all standard tricks for iterations or products with countable supports of Sacks forcing. On the other hand it does not involve internal combinatorial structure of conditions of iterations or products. (...)
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  22.  25
    Montaigne and the Coherence of Eclecticism.Pierre Force - 2009 - Journal of the History of Ideas 70 (4):523-544.
    In lieu of an abstract, here is a brief excerpt of the content:Montaigne and the Coherence of EclecticismPierre ForceSince the publication of Pierre Hadot's essays on ancient philosophy by Arnold Davidson in 1995,2 Michel Foucault's late work on "the care of the self"3 has appeared in a new light. We now know that Hadot's work was familiar to Foucault as early as the 1950s.4 It is also clear that Foucault's notion of "techniques of the self" is very close to what (...)
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  23.  6
    On Cohen and Prikry Forcing Notions.Tom Benhamou & Moti Gitik - 2024 - Journal of Symbolic Logic 89 (2):858-904.
    Abstract(1)We show that it is possible to add $\kappa ^+$ -Cohen subsets to $\kappa $ with a Prikry forcing over $\kappa $. This answers a question from [9].(2)A strengthening of non-Galvin property is introduced. It is shown to be consistent using a single measurable cardinal which improves a previous result by S. Garti, S. Shelah, and the first author [5].(3)A situation with Extender-based Prikry forcings is examined. This relates to a question of H. Woodin.
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  24.  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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  25.  12
    Friendship: The Future of an Ancient Gift by Claudia Baracchi (review).Joseph Gamache - 2024 - Review of Metaphysics 77 (3):535-536.
    In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Friendship: The Future of an Ancient Gift by Claudia BaracchiJoseph GamacheBARACCHI, Claudia. Friendship: The Future of an Ancient Gift. Translated by Elena Bartolini and Catherine Fullarton. Bloomington: Indiana University Press, 2023. 146 pp. Paper, $30.00Friendship: The Future of an Ancient Gift offers a series of reflections on friendship that "outline thoughts, visions, stories." It is well to bear this in mind. There is no sustained discussion of (and (...)
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  26.  38
    Template iterations with non-definable ccc forcing notions.Diego A. Mejía - 2015 - Annals of Pure and Applied Logic 166 (11):1071-1109.
  27.  27
    More Notions of Forcing Add a Souslin Tree.Ari Meir Brodsky & Assaf Rinot - 2019 - Notre Dame Journal of Formal Logic 60 (3):437-455.
    An ℵ1-Souslin tree is a complicated combinatorial object whose existence cannot be decided on the grounds of ZFC alone. But fifteen years after Tennenbaum and Jech independently devised notions of forcing for introducing such a tree, Shelah proved that already the simplest forcing notion—Cohen forcing—adds an ℵ1-Souslin tree. In this article, we identify a rather large class of notions of forcing that, assuming a GCH-type hypothesis, add a λ+-Souslin tree. This class includes Prikry, Magidor, (...)
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  28.  4
    More on ideals with simple forcing notions.M. Gitik & S. Shelah - 1993 - Annals of Pure and Applied Logic 59 (3):219-238.
  29.  32
    A formalism for some class of forcing notions.Piotr Koszmider & P. Koszmider - 1992 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 38 (1):413-421.
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  30. Grande Sertão: Veredas by João Guimarães Rosa.Felipe W. Martinez, Nancy Fumero & Ben Segal - 2013 - Continent 3 (1):27-43.
    INTRODUCTION BY NANCY FUMERO What is a translation that stalls comprehension? That, when read, parsed, obfuscates comprehension through any language – English, Portuguese. It is inevitable that readers expect fidelity from translations. That language mirror with a sort of precision that enables the reader to become of another location, condition, to grasp in English in a similar vein as readers of Portuguese might from João Guimarães Rosa’s GRANDE SERTÃO: VEREDAS. There is the expectation that translations enable mobility. That what was (...)
     
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  31.  31
    Sweet Chemistry: A Study of the Intermolecular Forces in Candy Dye Molecules.Kara Paden - 2016 - Aletheia: The Alpha Chi Journal of Undergraduate Scholarship 1 (1).
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  32.  20
    'The Force of Language, and the Sweets of Love': Eliza Haywood and the Erotics of Reading in Samuel Richardson's Clarissa.Kate Williams - 2004 - Lumen: Selected Proceedings From the Canadian Society for Eighteenth-Century Studies 23:309.
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  33.  22
    Review: Moti Gitik, Saharon Shelah, Forcings with ideals and simple forcing notions; M. Gitik, S. Shelah, More on simple forcing Notions and forcing with ideals; D. H. Fremin, Real-valued-measurable cardinals. [REVIEW]Maxim R. Burke - 1995 - Journal of Symbolic Logic 60 (3):1022-1024.
  34. Des notions de matière et de force dans les sciences de la nature.Lionel Dauriac - 1878 - Revue Philosophique de la France Et de l'Etranger 6:302-310.
     
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  35.  10
    Hertz's Mechanics and a Unitary Notion of Force.Joshua Eisenthal - 2021 - Studies in History and Philosophy of Science Part A 1 (90):226-234.
    Heinrich Hertz dedicated the last four years of his life to a systematic reformulation of mechanics. One of the main issues that troubled Hertz in the customary formulation of mechanics was a "logical obscurity" in the notion of force. However, it is unclear what this logical obscurity was, hence it is unclear how Hertz took himself to have avoided it. -/- In this paper, I argue that a subtle ambiguity in Newton's original laws of motion lay at the basis of (...)
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  36. Supercompact extender based Prikry forcing.Carmi Merimovich - 2011 - Archive for Mathematical Logic 50 (5-6):591-602.
    The extender based Prikry forcing notion is being generalized to super compact extenders.
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  37.  30
    Forcing properties of ideals of closed sets.Marcin Sabok & Jindřich Zapletal - 2011 - Journal of Symbolic Logic 76 (3):1075 - 1095.
    With every σ-ideal I on a Polish space we associate the σ-ideal I* generated by the closed sets in I. We study the forcing notions of Borel sets modulo the respective σ-ideals I and I* and find connections between their forcing properties. To this end, we associate to a σ-ideal on a Polish space an ideal on a countable set and show how forcing properties of the forcing depend on combinatorial properties of the ideal. We (...)
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  38.  92
    The peculiar notion of exchange forces—I: Origins in quantum mechanics, 1926–1928.Cathryn Carson - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (1):23-45.
  39.  17
    The peculiar notion of exchange forces—I: Origins in quantum mechanics, 1926–1928.Cathryn Carson - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (1):23-45.
  40.  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 (...)
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  41.  14
    The Importance of Contrary Forces in Education: On the Notion of Conflict in Tagore’s Religion of Man.Jan G. Pouwels - 2024 - Studies in Philosophy and Education 43 (3):243-268.
    Dealing with conflicts seems to be a great challenge in society today. But not only in society. Higher education displays an air of resoluteness with certainty and security that disguises the conflicts and the fear of conflicts in a substantial number of subjects. If not in a state of denial, higher education avoids taking up conflicts over issues, for learning. The detailed investigation of Tagore’s pedagogical writings, with a focus on the importance of conflicts in education, reveals a genuine embrace (...)
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  42.  16
    Forcing the Mapping Reflection Principle by finite approximations.Tadatoshi Miyamoto & Teruyuki Yorioka - 2021 - Archive for Mathematical Logic 60 (6):737-748.
    Moore introduced the Mapping Reflection Principle and proved that the Bounded Proper Forcing Axiom implies that the size of the continuum is ℵ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\aleph _2$$\end{document}. The Mapping Reflection Principle follows from the Proper Forcing Axiom. To show this, Moore utilized forcing notions whose conditions are countable objects. Chodounský–Zapletal introduced the Y-Proper Forcing Axiom that is a weak fragments of the Proper Forcing Axiom but implies some important (...)
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  43.  18
    Forcing absoluteness and regularity properties.Daisuke Ikegami - 2010 - Annals of Pure and Applied Logic 161 (7):879-894.
    For a large natural class of forcing notions, we prove general equivalence theorems between forcing absoluteness statements, regularity properties, and transcendence properties over and the core model . We use our results to answer open questions from set theory of the reals.
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  44.  26
    The peculiar notion of exchange forces-- II: From nuclear forces to QED, 1929-1950.Cathryn Carson - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (2):99-131.
  45. Where did the Notion that Forces are Unobservable come from?M. Wilson - 2000 - Boston Studies in the Philosophy of Science 215:231-240.
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  46.  8
    The peculiar notion of exchange forces—II: From nuclear forces to QED, 1929–1950.Cathryn Carson - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (2):99-131.
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  47.  76
    Touches of sweet harmony: Pythagorean cosmology and Renaissance poetics.S. K. Heninger - 1974 - San Marino, Calif.: Huntington Library.
    The notion of a harmonious universe was taught by Pythagoras as early as the sixth century BC, and remained a basic premise in Western philosophy, science, and art almost to our own day. In Touches of Sweet Harmony, S. K. Heninger first recounts the legendary life of Pythagoras, describes his school at Croton, and discusses the materials from which the Renaissance drew its information about Pythagorean doctrine. The second section of the book reconstructs the many facets of this doctrine, (...)
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  48.  36
    Proper forcing extensions and Solovay models.Joan Bagaria & Roger Bosch - 2004 - Archive for Mathematical Logic 43 (6):739-750.
    We study the preservation of the property of being a Solovay model under proper projective forcing extensions. We show that every strongly-proper forcing notion preserves this property. This yields that the consistency strength of the absoluteness of under strongly-proper forcing notions is that of the existence of an inaccessible cardinal. Further, the absoluteness of under projective strongly-proper forcing notions is consistent relative to the existence of a -Mahlo cardinal. We also show that the consistency (...)
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  49. Gap forcing: Generalizing the lévy-Solovay theorem.Joel David Hamkins - 1999 - Bulletin of Symbolic Logic 5 (2):264-272.
    The Lévy-Solovay Theorem [8] limits the kind of large cardinal embeddings that can exist in a small forcing extension. Here I announce a generalization of this theorem to a broad new class of forcing notions. One consequence is that many of the forcing iterations most commonly found in the large cardinal literature create no new weakly compact cardinals, measurable cardinals, strong cardinals, Woodin cardinals, strongly compact cardinals, supercompact cardinals, almost huge cardinals, huge cardinals, and so on.
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  50.  90
    Force Dynamics in Language and Cognition.Leonard Talmy - 1988 - Cognitive Science 12 (1):49-100.
    Abstract“Force dynamics” refers to a previously neglected semantic category—how entities interact with respect to force. This category includes such concepts as: the exertion of force, resistance to such exertion and the overcoming of such resistance, blockage of a force and the removal of such blockage, and so forth. Force dynamics is a generalization over the traditional linguistic notion of “causative”: it analyzes “causing” into finer primitives and sets it naturally within a framework that also includes “letting,”“hindering,”“helping,” and still further (...). Force dynamics, moreover, appears to be the semantic category that uniquely characterizes the grammatical category of modals, in both their basic and epistemic usages. In addition, on the basis of force dynamic parameters, numerous lexical items fall into systematic semantic patterns, and there exhibit parallelisms between physical and psychosocial reference. Further, from research on the relation of semantic structure to general cognitive structure, it appears that the concepts of force interaction that are encoded within language closely parallel concepts that appear both in early science and in naive physics and psychology. Overall, force dynamics thus emerges as a fundamental notional system that structures conceptual material pertaining to force interaction in a common way across a linguistic range: the physical, psychological, social, inferential, discourse, and mental-model domains of reference and conception. (shrink)
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