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1. JSTOR Projective Determinacy.
Projective Determinacy. Proceedings of the National Academy of Sciences of the .. inner models extending L(R) for very strong Determinacy principles.<1132:PD>2.0.CO;2-5

2. 03E: Set Theory
such as the inclusionexclusion principle, partially ordered sets, and so on. . 03E60 Determinacy principles; 03E65 Other hypotheses and axioms
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03E: Set theory
Naive set theory considers elementary properties of the union and intersection operators Venn diagrams, the DeMorgan laws, elementary counting techniques such as the inclusion-exclusion principle, partially ordered sets, and so on. This is perhaps as much of set theory as the typical mathematician uses. Indeed, one may "construct" the natural numbers, real numbers, and so on in this framework. However, situations such as Russell's paradox show that some care must be taken to define what, precisely, is a set. However, results in mathematical logic imply it is impossible to determine whether or not these axioms are consistent using only proofs expressed in this language. Assuming they are indeed consistent, there are also statements whose truth or falsity cannot be determined from them. These statements (or their negations!) can be taken as axioms for set theory as well. For example, Cohen's technique of forcing showed that the Axiom of Choice is independent of the other axioms of ZF. (That axiom states that for every collection of nonempty sets, there is a set containing one element from each set in the collection.) This axiom is equivalent to a number of other statements (e.g. Zorn's Lemma) whose assumption allows the proof of surprising even paradoxical results such as the Banach-Tarski sphere decomposition. Thus, some authors are careful to distinguish results which depend on this or other non-ZF axioms; most assume it (that is, they work in ZFC Set Theory).

3. 03Exx
03E60 Determinacy principles; 03E65 Other hypotheses and axioms; 03E70 Nonclassical and secondorder set theories; 03E72 Fuzzy set theory
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Set theory
  • 03E02 Partition relations 03E04 Ordered sets and their cofinalities; pcf theory 03E05 Other combinatorial set theory 03E10 Ordinal and cardinal numbers 03E15 Descriptive set theory [See also 03E17 Cardinal characteristics of the continuum 03E20 Other classical set theory (including functions, relations, and set algebra) 03E25 Axiom of choice and related propositions 03E30 Axiomatics of classical set theory and its fragments 03E35 Consistency and independence results 03E40 Other aspects of forcing and Boolean-valued models 03E45 Inner models, including constructibility, ordinal definability, and core models 03E47 Other notions of set-theoretic definability 03E50 Continuum hypothesis and Martin's axiom 03E55 Large cardinals 03E60 Determinacy principles 03E65 Other hypotheses and axioms 03E70 Nonclassical and second-order set theories 03E72 Fuzzy set theory 03E75 Applications of set theory 03E99 None of the above, but in this section

4. Modality And Ontology - Philosophy Of Mathematics | Mind | Find Articles At BNET
that adding mathematics (and bridge principles connecting mathematical and physical of the continuum hypothesis and various Determinacy principles,
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Modality and ontology - philosophy of mathematics
Mind July, 1993 by Stewart Shapiro < Page 1 Continued from page 3. Previous Next
Thus, at least officially, Field is allied with anti-realism in truth value. But, as we shall see, Field does develop a close surrogate for mathematics, which does have objective, non-vacuous truth conditions for its assertions. There are two parts of the fictionalist programme. The first is to develop a nominalistic version of each worthwhile science. The second is the conservativeness result. The fictionalist should show that adding mathematics (and bridge principles" connecting mathematical and physical terms) does not yield any "new" nominalistic theorems. Then it would follow that even though mathematics is useful and, in fact, practically necessary, it is theoretically dispensable.

5. H1 Jacques Duparc /h1
Determinacy principles. Games Involving Topology or Set Theory . extensions of the fundamental effective Determinacy results of BüchiLandweber, Rabin;
Jacques Duparc Institut d'informatique et organisation
College Propedeutique 1,
CH - 1015 Lausanne
Tel: +41 (0)21 692 35 88
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Research Areas
  • Mathematical Logic
  • Descriptive Complexity
  • Finite Model Theory
  • Set Theory
  • Descriptive Set Theory
  • Determinacy Principles
  • Games Involving Topology or Set Theory
  • 2-Person Games
  • Logic in Computer Science
  • Hierarchies
  • Journal Papers
  • Conference Papers
  • On the Desk
  • Ph. D. Thesis
    Journal Papers
  • The Missing Link for -Rational Sets, Automata, and Semigroups
  • Joint paper with Mariane Riss (pdf version) or (ps version)
    to appear in the International Journal of Algebra and Computation Abstract: Int. J. Alg. Comput. , vol. 7, no. 7, pp. 673-695, 1997).
    A Coarsification of the Wagner Hierarchy
    (pdf version) or (ps version)
    submitted to Theoretical Computer Science Abstract: . It is the one induced by the ordering on Deterministic Automata: A < B iff the set accepted by A is the inverse image of the set accepted by B
    The Steel Hierarchy of Ordinal Valued Borel Mappings
    Journal of Symbolic Logic 68 (2003), no. 1, 187234.
  • 6. SSRN-The Common Law Of Contracts: Are Broad Principles Better Than Detailed Ones
    The level of Determinacy of case law rules, and the degree of discretion Broad principles arouse concern among common lawyers, whose tendency is to

    7. 03Exx
    axiom 03E55 Large cardinals 03E60 Determinacy principles 03E65 Other hypotheses and axioms 03E70 Nonclassical and secondorder set theories 03E72 Fuzzy
    Set theory 03E02 Partition relations 03E04 Ordered sets and their cofinalities; pcf theory 03E05 Other combinatorial set theory 03E10 Ordinal and cardinal numbers 03E15 Descriptive set theory [See also ] 03E17 Cardinal characteristics of the continuum 03E20 Other classical set theory (including functions, relations, and set algebra) 03E25 Axiom of choice and related propositions 03E30 Axiomatics of classical set theory and its fragments 03E35 Consistency and independence results 03E40 Other aspects of forcing and Boolean-valued models 03E45 Inner models, including constructibility, ordinal definability, and core models 03E47 Other notions of set-theoretic definability 03E50 Continuum hypothesis and Martin's axiom 03E55 Large cardinals 03E60 Determinacy principles 03E65 Other hypotheses and axioms 03E70 Nonclassical and second-order set theories 03E72 Fuzzy set theory 03E75 Applications of set theory 03E99 None of the above, but in this section
    Version of December 15, 1998

    8. List KWIC DDC22 510 And MSC+ZDM E-N Lexical Connection
    Determinacy of map germs classification; finite 58K40 Determinacy principles 03E60 determinant bundles, analytic torsion determinants and 58J52
    curriculum development # goals of mathematics teaching.
    curriculum guides, official documents # syllabuses.
    curriculum materials, effective teaching, etc.) # teaching and curriculum (innovations, teaching practices, studies of
    curvature # minimal surfaces, surfaces with prescribed mean
    curvature manifolds # negative
    curvature manifolds # positive
    curvature restrictions # methods of Riemannian geometry, including PDE methods;
    curvature, tight, etc.) # immersions (minimal, prescribed
    curve fitting # smoothing,
    curve sketching, extremum problems) # differential calculus (e.g.:
    curved groups # hyperbolic groups and nonpositively curved space backgrounds # quantum field theory on curves curves curves # directly differentiable curves # elliptic curves # geometry of orders of nondifferentiable curves # plane and space curves # pseudoholomorphic curves and curves of low genus # special curves and surfaces on projective and affine planes curves and surfaces) # computer aided design (modeling of curves and their moduli # vector bundles on curves in Euclidean space curves of low genus # special curves and curves over finite and local fields curves over global fields # elliptic curves over local fields # elliptic curves) # convex sets in $2$ dimensions (including convex curves, singular points, limit cycles # location of integral

    9. HeiDOK
    03E60 Determinacy principles ( 0 Dok. ) 03E65 Other hypotheses and axioms ( 0 Dok. ) 03E70 Nonclassical and secondorder set theories ( 0 Dok.

    10. Kinematic Determinacy - Wikipedia, The Free Encyclopedia
    The principles of kinematic Determinacy are used to design precision devices such as mirror mounts for optics, and precision linear motion bearings.
    var wgNotice = ""; var wgNoticeLocal = ""; var wgNoticeLang = "en"; var wgNoticeProject = "wikipedia";
    Kinematic determinacy
    From Wikipedia, the free encyclopedia
    Jump to: navigation search Kinematic determinacy is a term used in structural mechanics to describe a structure where material compatibility conditions alone can be used to calculate deflections. A kinematically determinate structure can be defined as a structure where, if it is possible to find nodal displacements compatible with member extensions, those nodal displacements are unique. The structure has no possible mechanisms, i.e. nodal displacements, compatible with zero member extensions, at least to a first-order approximation. Mathematically, the mass matrix of the structure must have full rank. Kinematic determinacy can be loosely used to classify an arrangement of structural members as a structure (stable) instead of a mechanism (unstable). The principles of kinematic determinacy are used to design precision devices such as mirror mounts for optics, and precision linear motion bearings
    edit See also
    Statical determinacy This technology -related article is a stub . You can help Wikipedia by expanding it This article does not cite any references or sources (December 2007)
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    11. Politics Or Rule Of Law: Deconstruction And Legitimacy In International Law
    The requirement for Determinacy, unlike that for validity, those between its general principles which embody different potentially conflicting values.
    Politics or Rule of Law: Deconstruction and Legitimacy in International Law
    IV. Determinacy and Coherence
    Validity, although necessary, is not the only requirement which the rules of international law have to fulfil from the point of view of their aptitude for the rule of law. Valid rules may be, for example, quite inadequate to serve as a basis for the rule of law because they can be too general and indeterminate, thereby allowing different and contradictory interpretations and, hence political arbitrariness. The requirement for determinacy, unlike that for validity, seems to be more a matter of degree. All rules of law are by definition to some extent general. So their determinacy - at least in theory - can never be absolute. Therefore this is another `intrinsic' contradiction. The rule of law implies on the one hand the ordering of society by rules which are generally applicable and treating like cases alike and not by individual prescriptions which can be discriminatory and inequitable. On the other hand the more general the rule, the less clear and determinate it becomes, giving rise to different and even contradictory interpretations and the possibility of arbitrariness. It could be argued that the generality of rules is a manifestation of their normativity while their determinacy is a function of their concreteness. In this case there seems to be no general theoretical solution capable of reconciling the contradiction. In practice, however, the fact that determinacy is a matter of degree also means that solutions can be sought which could strive for some optimal degree of determinacy.

    12. Description Of Current Teaching And Research Interests
    Particularism also raises interesting questions about role of judgment in a social and political context and the relative Determinacy of the principles
    Description of Current Teaching and Research Interests nonarbitrary manner? Traditionally, judgment is defined in contrast to the conceptual character of principles. But if judgment is an intuitive sense or ability, nondiscursive in nature, it lies beyond the scope of language and cannot be articulated. Intuitionism in its various forms appears to unduly constrain philosophical inquiry; and like Kant’s concept of the thing-in-itself, it generates a paradox by referring to something that is purportedly beyond the limits of thought. To avoid these problems, it is necessary to reexamine the nature of the intuition and its relationship to concepts. I argue that intuition is not nondiscursive and does not stand opposed to concepts, though it remains consistent with the possibility of novel judgments. If concepts always have some degree of indeterminacy, there is something irreducibly intuitive about our understanding of them. Similarly, intuition can be articulated to a far greater extent than we might expect: Experience, past decisions and training, and tacit inferences lie in the background of “instinctive” judgments. Despite the fact that inquiry often runs aground, I argue that no aspect of judgment is ineffable in principle. However, the indeterminacy of principles entails that there is always more to be said about judgment and the principles that guide it, and preserves the possibility of novel ideas and experiences that are not anticipated by these principles.

    13. [FOM] A Case For The Axiom Of Determinacy
    Fortunately, the two principles below are consistent with the axiom of Determinacy and fully satisfy the requirements of ordinary mathematical analysis
    [FOM] A Case for the Axiom of Determinacy
    Dmytro Taranovsky dmytro at
    Fri Jul 16 17:06:50 EDT 2004 More information about the FOM mailing list

    14. Blackwell Synergy - Error
    We cannot view the creatures as applying the principles without begging the as merely fitting the principles seems insufficient to secure Determinacy
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    15. ScienceDirect - Studies In History And Philosophy Of Science Part A : ‘Th
    Thereafter, the organized principles within the natural world could proceed on .. the Determinacy of his metaphysical principles at a significant cost.
    Athens/Institution Login Not Registered? User Name: Password: Remember me on this computer Forgotten password? Home Browse My Settings ... Help Quick Search Title, abstract, keywords Author e.g. j s smith Journal/book title Volume Issue Page Studies In History and Philosophy of Science Part A
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    Studies in History and Philosophy of Science Part C: Studies in History and Philosophy of Biological and Biomedical Sciences Volume 37, Issue 4

    16. Undergraduate Courses - Howard University, College Of Engineering, Architecture
    Theory of structural principles; Determinacy and stability, approximate analysis of statically indeterminate structures; influence lines and moving loads;
    • CEACS Home Civil Engineering
      Undergraduate Courses
      EGPP-101. Introduction to Engineering, 2 credits. Provides information on engineering education, the engineering profession, and basic concepts and tools. Introduces the engineering design process and provides the opportunity for students to complete engineering design projects. (FA) CIEG-102. Introduction to Civil Engineering, 1 credit. Introduces the student to the civil engineering design process. Students are organized into teams to present a concluding design competition. (SP) CIEG-103. Computer Essentials in Civil Engineering, 3 credits. Provides a working knowledge of essential computer tools including an overview of PC operating systems, programming languages, the internet, productivity tools, etc., with emphasis on mathematical software, computer-aided drawing and computer programming. (SP) CIEG-202. Statics, 3 credits. Prereq.: MATH-157, Coreq.: PHYS-013. CIEG-207. Introduction to Environmental Engineering, 3 credits. Introduces concepts in water supply, water and wastewater treatment, air quality, solid and hazardous waste management, and social and ethical considerations. Provides a brief history and background of environmental engineering.

    17. About Youth Justice In New Zealand - Youth Court
    About Youth Justice Overview of principles and Process principles of just deserts (that is, proportionality, Determinacy and equity of outcomes);
    Ministry of Justice Courts Youth Court Youth Court Home ... Further Information and Links
    About Youth Justice - Overview of Principles and Process
    Youth Justice Principles
    The information in this article draws heavily on information kindly provided by Dr Gabrielle Maxwell from a paper entitled "Alternatives to Prosecution for Young Offenders in New Zealand", presented in Hong Kong, February 2002 In 1989, New Zealand adopted new legislation (The Children, Young Persons and Their Families Act 1989) which established new objects and principles for Youth Justice and set up an innovative system for responding to the young people who offend. The new system emphasises diversion from courts and custody, and, while holding young persons accountable, facilitates the construction of responses that aim to provide for the rehabilitation and reintegration of young people, support for their families, and that take into account the needs of victims. Since then, this system has been hailed as an example of restorative approach to offending by young people, both because of its objects and principles and because of its use of family group conferences for determining the outcomes of the more serious offending by young people. When a young person offends the Police can respond by, (in reverse order of severity):

    18. Reconceiving The Family - Cambridge University Press
    Professor Levy observes that “for parents and for those anxious to increase doctrinal Determinacy, the principles pose even more troubling problems.

    19. Article Abstracts: #63
    Determinacy, InDeterminacy, and the Romantic in William Gibson. Ann Weinstone. . For Le Guin, the principles might be described as feminist, communal,
    Science Fiction Studies
    #63 = Volume 21, Part 2 = July 1994
    Carol Franko
    Working the "In-Between": Kim Stanley Robinson's Utopian Fiction
    Abstract. This essay treats four works by Kim Stanley Robinson: three Mars narratives from the eighties Icehenge (1984), "Exploring Fossil Canyon" (1982) and "Green Mars" (1985)and Pacific Edge (1990), the ecotopian "conclusion" of his Orange county trilogy. In these science fictions Robinson writes utopia not so much as an alternative social structure but as an alternative historical process that emerges from the intersecting histories of subjects. Like many contemporary feminists, Robinson portrays subjectivity as a largely opaque, never-finished process that is constituted as much through a need to recognize the subjectivity and difference of others as through a need for others to recognize one's own (constantly changing) subjectivity. The author argues that Robinson inscribes a feminist vision of subjectivity as intersubjectivity in his characterizations, imagery, plots, and narrative strategies in general, and that this vision of the alterity of the self and the subjectivity of the other is the enabling condition for his privileged but alienated protagonists to act and to link their individual histories to utopia as alternative historical process.

    20. Prequential Probability Principles And Properties
    The weak prequential principle requires that such a criterion should depend on Forecaster s 16 Martin, D. (1990) An extension of Borel Determinacy.
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      Prequential probability: principles and properties
      A. Philip Dawid and Vladimir G. Vovk Source: Bernoulli Volume 5, Number 1 (1999), 125-162.
      Forecaster has to predict, sequentially, a string of uncertain quantities , whose values are determined and revealed, one by one, by Nature. Various criteria may be proposed to assess Forecaster's empirical performance. The weak prequential principle requires that such a criterion should depend on Forecaster's behaviour or strategy only through the actual forecasts issued. A wide variety of appealing criteria are shown to respect this principle. We further show that many such criteria also obey the strong prequential principle , which requires that, when both Nature and Forecaster make their choices in accordance with a common joint distribution for , certain stochastic properties, underlying and justifying the criterion and inferences based on it, hold regardless of the detailed specification of . In order to understand further this compliant behaviour, we introduce the prequential framework , a game-theoretic basis for probability theory in which it is impossible to violate the prequential principles, and we describe its connections with classical probability theory. In this framework, in order to show that some criterion for assessing Forecaster's empirical performance is valid, we have to exhibit a winning strategy for a third player, Statistician, in a certain perfect-information game. We demonstrate that many performance criteria can be formulated and are valid in the framework and, therefore, satisfy both prequential principles.

    21. Jaynes On The Indifference Principle « Antimeta
    So Jaynes must be implicitly appealing to some extra principles here in order to get the intuitive . Jack Woods, Jack Woods on Choice and Determinacy
    A general distrust of strong metaphysical claims in mathematics and philosophy.
    Jaynes on the Indifference Principle
    What makes me more suspicious about this indifference principle is how Jaynes actually goes on to use it. He says that using it requires the background information about the different propositions to actually be identical, but his very first use of it violates this condition! However, it looks to me like this is a mis-application of the principle, as he has stated it. The background information is explicitly not Math Links Roundup Putnam on Indispensability
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    22. Universitas Helsingiensis - Top-level Research
    Logical axioms become equivalent to gametheoretical principles (e.g. Determinacy of games). The strategic paradigm in the theory of language becomes
    Previous page
    The use of language can be understood as a game of falsification and verification.
      Playing with language
    The main research topic of the Compositionality and Truth Project concerns different constraints on the semantic interpretation of natural and formal language sentences and discourse. We explore several ideas, which go back to Jaakko Hintikka , according to which a piece of discourse is interpreted via a game of falsification and verification, in which two players look for entities out there in the world which have to stand in certain relations for one of the players (the verifier or the falsifier) to win the game. The relation with truth is straightforward: it amounts to the existence of a winning strategy for the verifier in the associated game. As a result, a cluster of concepts from traditional philosophy and logic are placed in a new light. Connectives in logic receive a game-theoretical content. Logical axioms become equivalent to game-theoretical principles (e.g. determinacy of games). The strategic paradigm in the theory of language becomes prominent in contradistinction to the older rule-based paradigm. One can talk about the information known or remembered by the players when moving from one sub-game to another, or even from an earlier to a later move. The restrictions put on the information of the players may lead to very powerful logics.

    23. List KWIC DDC And MSC Lexical Connection
    principles Determinacy 03E60 principles functional limit theorems; invariance 60F17 principles mathematical 004.0151
    piezoelectricity, ferroelectricity
    pivoting methods # extreme-point and
    PL-structures: classification, Hauptvermutung # comparison of
    PL-topology # equivariant
    placement problems # pole and zero
    planar arrangements of lines and pseudolines
    Planck, Langevin, etc.) # stochastic methods (Fokker -
    plane # capacity and harmonic measure in the complex
    plane # quasiconformal mappings in the plane analitic geometry plane analysis, limit cycles # phase plane and space curves plane and surfaces # homeomorphism and diffeomorphisms of plane geometry plane trigonometry planes planes # absolute planes # affine and projective planes # curves and surfaces on projective and affine planes # finite upper-half planes # non-Desarguesian affine and projective planes and spreads # translation planetary atmospheres planning # educational research and planning aids # teacher manuals and plant biology plasma physics plasmas plasmic flow # ionized gas flow in electromagnetic fields; plastic materials, materials of stress-rate and internal-variable type plasticity plateau # Mesopotamia and iranian plates platonism and neoplatonism # modern players # games with infinitely many pluralism # dualism and pluricomplex Green functions pluriharmonic and plurisubharmonic functions pluripotential theory pluripotential theory plurisubharmonic exhaustion functions plurisubharmonic functions # pluriharmonic and plurisubharmonic functions and generalizations plus-constructions # Q$- and point # motion of a rigid body with a fixed

    24. Programming Analysis & Logic Programming: Publications
    Hill, P M; King, A. Detecting and exploiting Determinacy in logic programs. JF (editors) principles and Practice of Constraint Programming - CP98, pp.
    Bagnara, Roberto; Dobson, Katy; Hill, Patricia M; Mundell, Matthew; Zaffanella, Enea. Grids: a domain for analyzing the distribution of numerical values in: Puebla, G (editors) Logic-Based Program Synthesis and Transformation 16th International Symposium, LOPSTR 2006 , pp. 219-235 Springer. 2007. Bagnara, Roberto; Hill, Patricia M; Zaffanella, Enea. Widening operators for powerset domains International Journal on Software Tools for Technology Transfer , vol. 10, pp. 449-466. 2006. Hill, Patricia M; Spoto, Fausto. Deriving escape analysis by abstract interpretation Higher-Order and Symbolic Computation , vol. 19, pp. 415-463. 2006. Fernandez, A; Hill, Patricia M. An interval constraint branching scheme for lattice domains Journal of Universal Computer Science , vol. 12, pp. 14661499. 2006. Bagnara, Roberto; Zaffanella, Enea; Hill, Patricia M. Enhanced sharing analysis techniques: a comprehensive evaluation Theory and Practice of Logic Programming , vol. 5, pp. 1-43. 2005. Bagnara, Roberto; Hill, Patricia M; Zaffanella, Enea. Not necessarily closed convex polyhedra and the double description method Formal Aspects of Computing , vol. 17, pp. 222-257. 2005.

    25. Course Catalog
    Concepts of stability and Determinacy; moment area, conjugate beam and energy principles; indeterminate analysis by method of consistent......
    Log on Apply Contact Us Give a Gift ... Text only Search VU Web VU People VU Library The Internet About Us Undergraduate Programs Objectives B.S. in Civil Engineering ... FAQs You are exploring: VU Engineering Departments Undergraduate Programs CEE Undergraduate Course Listings CEE 2103 - Mechanics of Solids
    Description: Stress resultants in bodies from tension, compression, shear, flexure, torsion and temperature; stress and strain transformations; combined stresses; load deformation relationships; Euler buckling.
    Prerequisites: CEE 2104 or ME 2100
    Credit Hours:
    Last Offered: Summer 2008, Spring 2008, Summer 2007, Spring 2007
    Description: Force systems; equilibrium of particles and rigid bodies; analysis of simple structures; internal forces; friction; properties of areas and volumes; kinematic and kinetic analysis of particles.
    Prerequisites: MAT 1505 and PHY 2400
    Credit Hours:
    Last Offered: Summer 2008, Spring 2008, Fall 2007, Summer 2007 CEE 2311 - Environmental Engr Science Description: Fundamental physical/chemical/microbiological principles for environmental remediation; environmental regulations; air and water quality, dissolved oxygen modeling, fate and transport of contaminants, risk assessment.

    26. MathGuide - OPAC Subject Catalog
    03E55 Large cardinals; 03E60 Determinacy principles; 03E65 Other hypotheses and axioms 60F17 Functional limit theorems; invariance principles
    Browse the GBV OPAC by MSC 2000
    This is a browse interface to the union catalogue of the Common Library Network GBV based on the MSC 2000 classification.
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    27. Faces, Chapter 6 Introduction
    The Determinacy of valuation enables us to define `correspondence with the facts for value judgments, first principles included, and to explicate the
    Introduction to Chapter 6, The Faces of Existence: An Essay in Nonreductive Metaphysics (Cornell University Press), pp. 251-256 (minus footnotes) Home Place
    The Faces of Existence ... , now in paperback, from
    See " From Is to Ought: Another Way ," revised and expanded, 10/1/01 (182K), for a more detailed development of the determinationist meta-ethics outlined here.
    Chapter 6 Fact and Value

    §6.1. The Determinacy of Valuation
    §6.2. Objections and Replies
    §6.3. Correspondence with the Facts

    Chapter 6: Fact and Value
    Philosophy's central problem is the relation that exists between the beliefs about the nature of things due to natural science and beliefs about values. J. Dewey
    From the viewpoints of Gadamer, Heidegger, and Sartre, the trouble with the fact-value distinction is that it is contrived precisely to blur the fact use [a given] set of true sentences to describe ourselves is already to choose an attitude toward ourselves.... R. Rorty

    28. Continuum Hypothesis: True, False, Or Neither?
    Axioms of Determinacy restrict the class of sets of reals that might be counterexamples to CH. Various forcing axioms which are maximality principles (in
    Is the Continuum Hypothesis True, False, or Neither?
    David J. Chalmers Newsgroups: sci.math
    From: (David Chalmers)
    Subject: Continuum Hypothesis - Summary
    Date: Wed, 13 Mar 91 21:29:47 GMT
    Thanks to all the people who responded to my enquiry about the status of the Continuum Hypothesis. This is a really fascinating subject, which I could waste far too much time on. The following is a summary of some aspects of the feeling I got for the problems. This will be old-hat to set theorists, and no doubt there are a couple of embarrassing misunderstandings, but it might be of some interest to non-professionals. A basic reference is Gödel's "What is Cantor's Continuum Problem?", from 1947 with a 1963 supplement, reprinted in Benacerraf and Putnam's collection Philosophy of Mathematics . This outlines Gödel's generally anti-CH views, giving some "implausible" consequences of CH. "I believe that adding up all that has been said one has good reason to suspect that the role of the continuum problem in set theory will be to lead to the discovery of new axioms which will make it possible to disprove Cantor's conjecture." At one stage he believed he had a proof that C = aleph_2 from some new axioms, but this turned out to be fallacious. (See Ellentuck, "Gödel's Square Axioms for the Continuum", Mathematische Annalen 1975.)

    29. Sci.math FAQ: The Continuum Hypothesis
    Apparently ``maximizing principles meet with much more sympathy from set Axioms of Determinacy restrict the class of sets of reals that might be
    Usenet FAQs Search Web FAQs Documents ... RFC Index
    sci.math FAQ: The Continuum Hypothesis
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    30. Powell's Books - Implicature :intention, Convention, And Principle In The Failur
    Determinacy and calculability; 3.1. Background constraints; 3.2. The role of conversational principles; 6.5. The principle of antecedent relation; 6.6.

    31. Math Forum - Ask Dr. Math
    Apparently maximizing principles meet with much more sympathy from set Axioms of Determinacy restrict the class of sets of reals that might be

    Associated Topics
    Dr. Math Home Search Dr. Math
    The Continuum Hypothesis
    Date: Wed, 24 May 1995 09:04:05 +0800 From: SheparD Subject: Math Problem Although I am not a K12 type person my daughter is. She is the one with the math problem, but I am the one with the internet connection. But really it IS me with the problem... I volunteered to assist her with an essay assignment and I thought to retrieve some information from the net. But, alas, I can find no information on the net. I would only like to have you point me in the right direction, if you would. The problem: (or question as it may be) "The continuum theory, what is it and has it been resolved?" I would be grateful if you could provide any assistance to me. Thanks for your time, David Date: 9 Jun 1995 10:25:29 -0400 From: Dr. Ken Subject: Re: Math Problem Hello there! I'm sorry it's taken us so long to get back to you. If you're still interested, here's something I found in the Frequently-Asked-Questions for the sci.math newsgroup. If you want to look in the site yourself sometime, the site name is (you can log in with the user name "anonymous") and this file's name is /pub/usenet-faqs/usenet-by-hierarchy/sci/math/ sci.math_FAQ:_The_Continuum_Hypothesis I found it by searching FAQs at the site

    32. Workshop Communication And Understanding -- Abstracts
    It seems to me that the Determinacy of the implicature cannot be general psychosocial principles, namely the Cooperative Principle and its Maxims.
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    The Projects and their Members

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    ... Abstracts
    The Cooperative Principle and the Speaker's Belief in Conversational Implicatures
    Ulrich Baltzer (Dresden)
    Must We Know What We Say?
    Jonathan Berg (Haifa)
    email: Paul Grice observes, in his "Further Notes on Logic and Conversation," that the theory of conversational implicature seems to lead to a sort of paradox. On the one hand, working out what is conversationally implicated seems to require knowing what is said. But on the other hand, what is said can be notoriously elusiveespecially in just those cases that the theory of conversational implicature was supposed to illuminate. I shall argue that the solution to the paradox lies in recognizing that in an important sense we typically do not know what we say. Implicature Conventions Wayne A. Davis (Washington) email:

    33. G7 Info. Center. Porter, Tony. G-7, Financial Stability Forum, G-20,
    Franck (1990 24) focuses on generally accepted principles of right process as the foundation of international legitimacy and identifies four Determinacy
    Politics of International Financial Regulation Help Free Search Search by Year Search by Country ... G-20: Meetings and Other Documents
    The G-7, the Financial Stability Forum, the G-20,
    and the Politics of International Financial Regulation
    Tony Porter
    Department of Political Science
    McMaster University
    Hamilton, ON L8S 4M4, Canada
    Legitimacy and the Governance of the Global Political Economy
    while there is a literature on the formal sources of international lawtreaties, custom, etc.this is not the same as an examination into the reasons why rules do, or do not obligate. The latter question is largely shunned...Many modern social scientists, moreover, quite simply do not even see any international system, let alone an international pattern of deference to systemic norms worth bothering about. Who would bother to inquire as to why a system of rules is obeyed when there is little evidence either of a system or of obedience? consider challenging sovereignty and borders to any significant degree as one would expect if they were operating out of self-interest. That exceptions are labelled "rogue states" and regarded as reprehensible deviants indicates the normative significance of sovereignty's legitimacy. Hurd demonstrates convincingly the relevance of legitimacy to sovereignty, but, as he notes, the "process by which a particular norm, rule or norm comes to be seen as legitimate" and "the role of power (material and ideological) in making an institution legitimate" are questions that remain to be further researched. Two other approaches to understanding legitimacy in international politics are worth considering before trying to move our understanding of the issues raised by these questions into new territory. These two existing approaches, which I will address in turn, are Franck's and the Gramscian approach.

    34. Sachgebiete Der AMS-Klassifikation: 00-09
    See also { 04A30, 54A25} 03E55 Large cardinals 03E60 Determinacy and related principles which contradict the axiom of choice 03E65 Other hypotheses and
    Sachgebiete der AMS-Klassifikation: 00-09
    nach 90-99 Weiter nach 10-19 Suche in allen Klassifikationen
    01-XX 03-XX 04-XX 05-XX 06-XX 08-XX
    nach 90-99 Weiter nach 10-19 Suche in allen Klassifikationen

    35. Principles Of Metabolic Flux Analysis
    In the following the principles of the MFA and the derivations of linear Determinacy. underdetermined rank(Tn) u (not all rates are calculable)

    36. Pearson Education - Principles Of Pragmatics
    principles of Pragmatics, Geoffrey Leech. 3.4 The ideational function discreteness and Determinacy 3.5 Examples of overgrammaticization

    37. 358/369 (Total 5522) NO 167 03E65 Other Hypotheses
    Translate this page 166, 03E60, Determinacy principles. 165, 03E55, Large cardinals. 164, 03E50, Continuum hypothesis and Martin s axiom

    38. Linking Development And Determinacy With Organic Acid Efflux From Proteoid Roots
    Determinacy has been reported in all species that form proteoid roots (Dinkelaker .. principles and Selected Methods. Termarcarphi, Melbourne, Australia.

    39. Googlelinked Mathematics Subject Headings
    03E60 Determinacy principles 03E65 Other hypotheses and axioms 03E70 Nonclassical and secondorder set theories 03E72 Fuzzy set theory
    mathematics googlelinks how it works
    [This page is a work in progress, started 25 June 2004. I'm still figuring out how to automate the creation of this page in the best way, but the great thing is that Google will keep it up to date for me when I'm done!]
    Googlelinked Mathematics Subject Headings
    All links dereference through Google's "I'm feeling Lucky."
    Here's an explanation of what I'm trying to do here.
    00–01 Instructional exposition ( textbooks , tutorial papers, etc.)
    00–02 Research exposition ( monographs survey articles
    00Axx General and miscellaneous specific topics
    General mathematics
    00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.) Problem books Recreational mathematics [See also 97A20] Bibliographies 00A17 External book reviews Dictionaries and other general reference works Formularies Philosophy of mathematics [See also 03A05] 00A35 Methodology of mathematics, didactics [See also 97Cxx, 97Dxx] 00A69 General applied mathematics 00A71 Theory of mathematical modeling 00A72 General methods of simulation Dimensional analysis 00A79 Physics (use more specific entries from Sections 70-86) 00A99 Miscellaneous topics 00Bxx Conference proceedings and collections of papers 00B05 Collections of abstracts of lectures 00B10 Collections of articles of general interest 00B15 Collections of articles of miscellaneous specific content 00B20 Proceedings of conferences of general interest 00B25 Proceedings of conferences of miscellaneous specific interest

    40. Springer Online Reference Works
    Both principles are still valid when Euclidean space is replaced by a Polish space. largecardinal and, especially, Determinacy hypotheses),

    Encyclopaedia of Mathematics
    Article referred from
    Article refers to
    Luzin separability principles,
    Luzin separation principles Two theorems in descriptive set theory , proved by N.N. Luzin in (see ). Two sets and without common points, lying in a Euclidean space, are called -separable or Borel separable if there are two Borel sets and without common points containing and , respectively. The first Luzin separation principle states that two disjoint analytic sets (cf. -set Analytic set ) are always -separable. Since there are two disjoint co-analytic sets (cf. -set ) that are -inseparable, the following definition makes sense: Two sets and without common points are separable by means of co-analytic sets if there are two disjoint sets and containing and , respectively, each of which is a co-analytic set. Luzin's second separation principle asserts that if from two analytic sets one removes their common part, then the remaining parts are always separable by means of co-analytic sets.
    B.A. Efimov

    41. PEP Web - Aggression And The Concept Of Aim In Psycho-Analytic Drive Theory
    Though modern science has demonstrated that the principles of multiple Determinacy and equifinality (that the same final state may be reached from different

    42. David Wiggins - Sameness And Substance Renewed - Reviewed By Brian Weatherson, B
    The penultimate chapter is a mostly new discussion of the Determinacy of identity. . Sortals for living objects determine principles of activity;

    43. Acta Analytica 29/2002
    These reasons refer to my earlier treatments of Determinacy and definitions of I agree that indeterminism compels us to modify each of these principles.
    Vol. 17, Issue 29, 2002
    Table of Contents
    • Matjaž Portr , Terry Horgan: Introduction Peter van Inwagen: Why Vagueness is a Mystery Harry Deutsch, Kenton Machina: Vagueness, Ignorance and Margins for Error Timothy Williamson: Reply to Machina and Deutsch David H. Sanford: Vague Numbers Steven D. Rieber: A Defense of Indeterminism Olli Koistinen and Aarto Repo: Vague Objects and Phenomenal Wholes Matjaž Potr : Transvaluationism, Common Sense and Indirect Correspondence Varia James O. Young: The Slinghot Argument and the Correspondence Theory of Truth Anthony Graybosch: American Beauty Book Review Daniele Santoro: Review of Elvio Baccarini: Realismo morale
    • Abstracts
    Peter van Inwagen
    Why Vagueness Is a Mystery This paper considers two "mysteries" having to do with vagueness. The first pertains to existence. An argument is presented for the following conclusion: there are possible cases in which ‛There exists something that is F’ is of indeterminate truth-value and with respect to which it is not assertable that there are borderline-cases of "being F." It is contended that we have no conception of vagueness that makes this result intelligible. The second mystery has to do with "ordinary" vague predicates, such as ‛tall’. An argument is presented for the conclusion that although there are people who are "tall to degree 1"—definitely tall, tall without qualification—, no greatest lower bound can be assigned to the set of numbers n such that a man who is n centimeters tall is tall to degree 1. But, since this set is bounded from below, this result seems to contradict a well-known property of the real numbers.

    44. MSC 2000 : CC = Determinacy
    Query CC = Determinacy. 03XX Mathematical logic and foundations. 03E60 Determinacy principles. 58-XX Global analysis, analysis on manifolds For

    45. CiteULike: Graph-Theoretical Methods For Detecting And Describing Gestalt Cluste
    Advantages of these methods include Determinacy, easy interpretation of the resulting clusters, conformity to gestalt principles of perceptual organization,
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      Graph-Theoretical Methods for Detecting and Describing Gestalt Clusters
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      Transactions on Computers , Vol. C-20, No. 1. (1971), pp. 68-86. Citation format: Plain APA Chicago Elsevier Harvard MLA Nature Oxford Science Turabian Vancouver
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    The game characteristic of modern science was based on principles of commensurability, Determinacy, and efficiency. The last principle, that of efficiency,
    CHAPTER VIII POSITIVISM, POST-POSITIVISM AND POSTMODERNISM EVALDAS NEKRASAS Fierce attacks on modernism by postmodernists reawakened an interest in positivist modernism both inside and outside academic circles. This interest is still alive in spite of the fact that some philosophers claim that today we are living already in a post-post-modern era. A fundamental question looms large: are postmodernists right when they claim that postmodern thinking is radically different from the modern one, of which positive (or positivist) thinking is a paradigmatic case? When examining this issue it is advisable to start from the brief analysis of the causes which led to disintegration of the latest form of positivism which, a bit paradoxically, was likely closest to the philosophy of the originator of the movement, namely that of David Hume. By this latest form I mean, of course, logical positivism. (Not everyone would agree that precisely Hume and not Auguste Comte was the originator of positivism but I do not intend to discuss this issue here.) Logical positivism as a distinct and integrated type of philosophy actually ceased to exist more or less three decades ago. According to the common wisdom it started to fell apart under criticism of W.V. Quine and Karl Popper. Their attacks on the fundamental principles of positivism were followed by later ones coming from different quarters and assailing positivism on different lines. Allegedly the most important, deadly blow was received by positivism in the early sixties, namely the publication of Thomas Kuhn’s

    47. Determinacy Restored
    Marshall agreed, in principle, with Edgeworth s inDeterminacy of barter, yet nonetheless felt that Determinacy would be restored in practice,
    Determinacy Restored
    "Francis is a charming fellow, but you must be careful with Ysidro!" (Alfred Marshall, as attributed in J. M. Keynes, Essays in Biography 1933: p.236). "What I want to say is that I do not think you at all appreciate the deadly and daring injury that A does to B, if he reads rapidly a piece of hard argument on which B has spent an immense deal of work; and then believing that argument to be wrong, writes an article full of the most polite phrases, in which a caricature of that argument is held up to the most refined, but deadly, scorn. I fancy that you think the polite phrases diminish the mischief...Their effect is that of a white flag under which the ship approaches close to another and rams and torpedoes it...There! I feel so much better." (Alfred Marshall, "Letter to F.Y. Edgeworth", as quoted in J. Creedy, 1986: p.96-7). Contents The Bargaining Solution
    The Utilitarian Solution

    The Walrasian Solution

    The Marshallian Solution
    Solutions Compared
    The Bargaining Solution It is important to note that Edgeworth's claims about "indeterminacy" of exchange depend very much on his vision of exchange. Edgeworth adhered strictly to the idea that the exchange process that went on in reality was neatly captured by his "recontracting" logic. But it is not the only logic. Could Jevons be right? Could barter exchange be determinate if we consider other ways by which the exchange process is conducted?

    48. Implicature (Stanford Encyclopedia Of Philosophy)
    (ii) The supposition that S believes p is required to make S s utterance consistent with the Cooperative Principle (Determinacy); and
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    Please Read How You Can Help Keep the Encyclopedia Free
    First published Fri 6 May, 2005
    1. The Phenomenon
    speaker means differs from what the sentence used by the speaker means. Consider the following dialogue.
  • Alan: Are you going to Paul's party?
    Barb: I have to work.
  • If this was a typical exchange, Barb meant that she is not going to Paul's party. But the sentence she uttered does not mean that she is not going to Paul's party. Hence Barb did not say that she is not going, she implied it. Grice introduced the technical terms implicate and implicature for the case in which what the speaker meant, implied, or suggested is distinct from what the speaker said. indirect speech act . Barb performed one speech act (meaning that she is not going) by performing another (meaning that she has to work). stated Our sample implicature is said to be conversational conventional implicature, by which he meant one that is part of the meaning of the sentence used.

    49. Communication Research Institute - Designing Philosophy - Publications > Princip
    I am also inspired by the principle of parsimony, or Occam s Razor what is the . Letness does not imply inDeterminacy so much as nonDeterminacy,

    50. Alembic Truth
    The Geographer
    by Jan Vermeer, an august virtuoso of light,
    symbolizes ALEMBIC TRUTH Symbolically speaking, ALEMBIC TRUTH is the play of stippling broad daylight on a mundane, palpable object of the visible world which, once the senses perceive its perceptual form and the faculty of reason logically distils its fundamental attribute into a universal ideal, furnishes humans with an explicit insight into a shared feature of concrete Being. By acquiring aesthetic understanding in this fashion, humans connect their sublime cognitions to objective reality and thereby pass from the darkness to the stippled light. In view of the fact that universal aesthetic cognitions stem from the logical distillation of perceived objects of the visible world, it proves beyond a shadow of a doubt that art mirrors objectivity. Return to Index
    means: "the conscious identification of a determinate thought distillation and its logical fidelity to the objective facts of determinate Being." Return to Index
    The preceding formal definition of ALEMBIC TRUTH is supported by the following logical canons:
  • If the determinate propositions of an argument have a logical fidelity to the objective facts of determinate Being and an inner consistency, then they entail the conclusion; viz., the conclusion must be accepted as being true by one and all.
  • 51. Epistemicism And The Combined Spectrum
    But, we argue, the linguistically based Determinacy that epistemicism supports . 16 Sorensen thinks this principle fuels resistance to epistemicism.
    Torin Alter and Stuart Rachels Ratio XVII, September 2004, 241-255] Abstract Derek Parfit's combined-spectrum argument seems to conflict with epistemicism, a viable theory of vagueness. While Parfit argues for the indeterminacy of personhood, epistemicism denies indeterminacy. But, we argue, the linguistically based determinacy that epistemicism supports lacks the sort of normative or ontological significance that concerns Parfit. Thus, we reformulate his argument to make it consistent with epistemicism. We also dispute Roy Sorensen's suggestion that Parfit's argument relies on an assumption that fuels resistance to epistemicism, namely, that 'the magnitude of a modification must be proportional to its effect.' Epistemicism is the view that vague concepts have sharp borderlines, but we cannot know where these borderlines lie. On this view, there is an exact number of grains of sand that make the smallest heap, but we cannot know what that number is.

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