92 found
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  1.  37
    Many-valued logics.J. Barkley Rosser - 1977 - Westport, Conn.: Greenwood Press. Edited by Atwell R. Turquette.
  2.  13
    [Fragments of Many-Valued Statement Calculi.Alan Rose & J. Barkley Rosser - 1958 - [S.N.].
  3.  11
    Logic for mathematicians.J. Barkley Rosser - 1978 - Mineola, N.Y.: Dover Publications.
    Hailed by the Bulletin of the American Mathematical Society as "undoubtedly a major addition to the literature of mathematical logic," this volume examines the essential topics and theorems of mathematical reasoning. No background in logic is assumed, and the examples are chosen from a variety of mathematical fields. Starting with an introduction to symbolic logic, the first eight chapters develop logic through the restricted predicate calculus. Topics include the statement calculus, the use of names, an axiomatic treatment of the statement (...)
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  4.  64
    Non-standard models for formal logics.J. Barkley Rosser & Hao Wang - 1950 - Journal of Symbolic Logic 15 (2):113-129.
    In his doctor's thesis [1], Henkin has shown that if a formal logic is consistent, and sufficiently complex, then it must admit a non-standard model. In particular, he showed that there must be a model in which that portion of the model which is supposed to represent the positive integers of the formal logic is not in fact isomorphic to the positive integers; indeed it is not even well ordered by what is supposed to be the relation of ≦.For the (...)
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  5.  9
    Non-Standard Models for Formal Logics.J. Barkley Rosser & Hao Wang - 1951 - Journal of Symbolic Logic 16 (2):145-146.
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  6.  48
    The Complexity Era in Economics.Richard P. F. Holt & J. Barkley Rosser - unknown
    This article argues that the neoclassical era in economics has ended and is being replaced by a new era. What best characterizes the new era is its acceptance that the economy is complex, and thus that it might be called the complexity era. The complexity era has not arrived through a revolution. Instead, it has evolved out of the many strains of neoclassical work, along with work done by less orthodox mainstream and heterodox economists. It is only in its beginning (...)
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  7.  60
    Colloquium: Statistical mechanics of money, wealth, and income.Victor M. Yakovenko & J. Barkley Rosser - unknown
    The paper reviews statistical models for money, wealth, and income distributions developed in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs distribution of energy in physics, it is shown that the probability distribution of money is exponential for certain classes of models with interacting economic agents. Alternative scenarios are also reviewed. Data analysis of the empirical distributions of wealth and income reveals a two-class distribution. The majority of the population belongs to the lower class, characterized by (...)
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  8.  35
    Emergence and Complexity in Austrian Economics.J. Barkley Rosser - unknown
    A deep theme of Austrian economics has been that of spontaneous order or selforganization of the economy. The origin of this theme dates to the putative founder of the Austrian School, Carl Menger, with his theory of the spontaneous emergence of money for transactions purposes in primitive economies being archetypal example (Menger, 1892). Menger drew this approach from the Scottish Enlightenment figures David Hume, Adam Ferguson, and Adam Smith, with the latter’s Wealth of Nations (1776) particularly important. The most important (...)
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  9.  33
    Econophysics.J. Barkley Rosser - unknown
    According to Bikas Chakrabarti (2005, p. 225), the term econophysics was neologized in 1995 at the second Statphys-Kolkata conference in Kolkata (formerly Calcutta), India by the physicist H. Eugene Stanley, who was also the first to use it in print (Stanley, 1996). Mantegna and Stanley (2000, pp. viii-ix) define “the multidisciplinary field of econophysics” as “a neologism that denotes the activities of physicists who are working on economics problems to test a variety of new conceptual approaches deriving from the physical (...)
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  10.  11
    Axiomatization of infinite-valued logics.J. Barkley Rosser - 1960 - Logique Et Analyse 3 (1):137-153.
  11. Deux esquisses de logique.J. Barkley Rosser - 1955 - Les Etudes Philosophiques 10 (4):757-758.
     
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  12.  12
    Simplified Independence Proofs. Boolean Valued Models of Set Theory.J. Barkley Rosser - 1974 - Journal of Symbolic Logic 39 (2):328-329.
  13.  11
    The Axiom of Infinity in Quine's New Foundations.J. Barkley Rosser - 1953 - Journal of Symbolic Logic 18 (2):179-179.
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  14.  63
    The axiom of infinity in Quine's new foundations.J. Barkley Rosser - 1952 - Journal of Symbolic Logic 17 (4):238-242.
    We use NF to designate the system known as Quine's New Foundations, and NF + AF to designate the same system with a suitable axiom of infinity adjoined. We use ML to designate the revised system appearing in the third printing of Quine's “Mathematical Logic”. This system ML is just the systemPproposed by Wang in [4], and essentially includes NF as a part.The pripcipal results of the present paper are:A. In NF the axiom of infinity is equivalent to the definability (...)
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  15.  29
    Do Nonlinear Dynamics in Economics Amount to a Kuhnian Paradigm Shift?Mohammed H. I. Dore & J. Barkley Rosser - unknown
    Much empirical analysis and econometric work recognizes that there are nonlinearities, regime shifts or structural breaks, asymmetric adjustment costs, irreversibilities and lagged dependencies. Hence, empirical work has already transcended neoclassical economics. Some progress has also been made in modeling endogenously generated cyclical growth and fluctuations. All this is inconsistent with neoclassical general equilibrium. Hence there is growing evidence of Kuhnian anomalies. It therefore follows that there is a Kuhnian crisis in economics and further research in nonlinear dynamics and complexity can (...)
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  16.  5
    Powers of Regular Cardinals.J. Barkley Rosser - 1975 - Journal of Symbolic Logic 40 (3):460-461.
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  17.  15
    Economics at the Edge.Richard P. F. Holt & J. Barkley Rosser - unknown
    This book is about the economics profession, or more precisely, the process by which economic thinking changes. We believe that this process is important because economics is currently at a turning point; it is changing from a static approach to understanding, in which deductive reasoning is the key method used, to a complexity approach to understanding, in which inductive and deductive methods are used simultaneously, and the full complexity of the system is acknowledged and dealt with. The change is ongoing (...)
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  18.  24
    How to win friends and (possibly) influence mainstream economists.Richard P. F. Holt & J. Barkley Rosser - unknown
    The first is that we are wrong to suggest that the mainstream is no longer limited to a restrictive orthodoxy of beliefs and assumptions that discourages dissenting voices. In developing his argument, Vernengo claims that our characterization of a cutting edge branch of the mainstream that does not hold to a neoclassical orthodoxy is misleading. Although he states that he accepts our characterization of the economics profession as a complex adaptive system, with many competing views, he sees the cutting edge (...)
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  19.  21
    Live and Dead Issues in the Methodology of Economics.Richard P. F. Holt & J. Barkley Rosser - unknown
    We attempt to clarify divisions made by us in previous work (Colander et al., 2004a,b) between “orthodox, mainstream, and heterodox” in economics, following very useful remarks in Dequech (2007-08), whom we thank. We also provide specific advice for heterodox economists, namely: worry less about methodology, focus on being economists first and heterodox economists second, and prepare ideas to leave the incubator of heterodoxy to enter the mainstream economic debate.
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  20.  15
    The Cutting Edge of Economics.Richard P. F. Holt & J. Barkley Rosser - unknown
    This book is about the economics profession, or more precisely, the cutting edge of the economics profession. Economics is currently at a turning point; it is changing from a static approach to understanding, in which deductive reasoning is the key method used, to a complexity approach to understanding, in which inductive and deductive methods are used simultaneously, and the full complexity of the system is acknowledged and dealt with. The change is just beginning, but the groundwork is currently being laid. (...)
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  21.  12
    A New Perspective On Economic Discontinuity.J. Barkley Rosser - unknown
    In 1991 this author published a book entitled, From Catastrophe to Chaos: A General Theory of Economic Discontinuities with Kluwer Academic Publishers. Due to the con troversial and unusual nature of this book’s content, there was considerable difficulty in getting publishers to agree to publish it prior to its being accepted by Kluwer. Initially conceived as a heterodox challenge to established economic thinking, this book became viewed by many readers as a reference volume on applications of nonlinear dynamics in general (...)
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  22.  14
    Between Cambridge and Vienna: The Risky Business of New Austrian Business Cycle Theory.J. Barkley Rosser - unknown
    This essay reviews the arguments made for a New Austrian theory of business cycles by Tyler Cowen, based on risk analysis and assuming rational expectations. This contrasts with the Old Austrian view that questions measurable risk in economic analysis. The way risk is applied to analyze business cycles suffers from serious inconsistencies. The use of rational expectations is mistaken in the face of economic complexity as understood by the traditional Austrians. However, Cowen is commended for his open-mindedness, even as this (...)
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  23.  33
    Complex Dynamics and Post Keynesian Economics.J. Barkley Rosser - unknown
    distraction that leads innocent Post Keynesians into “classical sin.” Davidson (1994, 1996) argues that core Post Keynesian (PK) ideas such as that insufficient aggregate demand arise from fundamental uncertainty in a monetary economy do not depend on nonlinearity or complexity, that these core concepts are axiomatically and ontologically true, and that the inability of agents to forecast well in dynamically complex situations reflects mere epistemological problems of insufficient computational abilities. Thus complex dynamics is merely a classical stalking horse. This writer (...)
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  24.  16
    Complex Dynamics of Macroeconomic Collapse and Its Aftermath in Transition Economies.J. Barkley Rosser - unknown
    This paper presents a view of the process of transition from planned command socialism to mixed market capitalism involving nonlinear complex dynamical phenomena. After the former institutional structure disappears a coordination failure can bring about macroeconomic collapse as in almost all of the former Soviet bloc or macroeconomic boom as in China. A closely linked phenomenon is the rise of the underground economy as inflation and income inequality increase. This can lead to a jump from one equilibrium to a very (...)
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  25.  20
    Complex ecologic-economic dynamics and environmental policy forthcoming, ecological economics.J. Barkley Rosser - unknown
    Various complex dynamics in ecologic-economic systems are presented with an emphasis upon models of global warming dynamics and fishery dynamics. Chaotic and catastrophic dynamic patterns are shown to be possible, along with other complex dynamics arising from nonlinearities in such combined systems. Problems associated with amplified oscillations due to these nonlinear interactions in the combined interactions of human economic decisionmaking with ecological dynamics are identified and discussed. Implications for policy are examined with strong recommendations for greater emphasis in particular upon (...)
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  26.  21
    Chaotic Hysteresis and Systemic Economic Transformation: Soviet Investment Patterns.J. Barkley Rosser & Robert W. Bond - unknown
    Economies making a transition from centrally planned socialism to market capitalism can experience chaotic hysteresis. This can arise from elements of the previous system persisting even as institutions are transformed with the system possibly experiencing chaos during this conflict. A model of investment cycles accompanied by technological stagnation shows this phenomenon which can be viewed from a cusp catastrophe perspective. Empirical tests of Soviet investment and construction data provide incomplete support for the cusp structure with chaos. Nonlinear structures are found (...)
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  27.  30
    Colloquium: Statistical Mechanics of Money, Wealth, and Income.J. Barkley Rosser - unknown
    The paper reviews statistical models for money, wealth, and income distributions developed in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs distribution of energy in physics, it is shown that the probability distribution of money is exponential for certain classes of models with interacting economic agents. Alternative scenarios are also reviewed. Data analysis of the empirical distributions of wealth and income reveals a two-class distribution. The majority of the population belongs to the lower class, characterized by (...)
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  28.  24
    Chaos Theory Before Lorenz.J. Barkley Rosser - unknown
    September 2008 Abstract: We consider the precursors to the discovery of sensitive dependence on initial conditions by Edward Lorenz (1963) in his model of climatic fluid dynamics. This will focus on work in various disciplines that imply either such sensitivity, irregular endogenous dynamic patterns, or fractal nature of an attractor, as is also found in the attractor underlying the model Lorenz studied. Going from ancient hints in Anaxagoras through nineteenth century mathematics and physics, the main areas of such development will (...)
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  29.  8
    Dynamic Discontinuities in Ecologic-Economic Systems.J. Barkley Rosser - unknown
    “A Public Domain, once a velvet carpet of rich buffalo-grass and grama, now an illimitable waste of rattlesnake-bush and tumbleweed, too impoverished to be accepted as a gift by the states within which it lies. Why? Because the ecology of the Southwest happened to be set on a hair trigger.”.
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  30. Deux esquisses de logique.J. Barkley Rosser - 1955 - Paris,: Gauthier-Villars.
  31.  5
    Dopp Joseph. Essai d'une présentation de la logique combinatoire. Logique et analyse , n.s. vol. 3 , pp. 183–201.J. Barkley Rosser - 1962 - Journal of Symbolic Logic 27 (1):77-77.
  32.  81
    Epistemological implications of economic complexity.J. Barkley Rosser - 2004 - Annals of the Japan Association for Philosophy of Science 13 (1):45-57.
  33.  30
    Emerging Markets and Stock Market Bubbles: Nonlinear Speculation?J. Barkley Rosser & Jamshed Y. Uppal - unknown
    Daily returns of stock markets in 27 emerging markets in Asia, Africa, South America, and Eastern Europe from the early 1990s through 2006 are analyzed for the possible presence of nonlinear speculative bubbles. The absence of these is tested for by studying residuals of VAR-based fundamentals, using the Hamilton regime-switching model and the rescaled range analysis of Hurst. For the first test absence of bubbles is rejected for 24 countries (except Mexico, Sri Lanka, and Taiwan), and for the second it (...)
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  34.  17
    Financial Development and Bubbles: The Case of the Karachi Stock Exchange of Pakistan.J. Barkley Rosser & Jamshed Y. Uppal - unknown
    Speculative bubbles present a problem for the development of sophisticated financial markets in developing economies. This paper discusses the evolution of regulatory institutions in Pakistan pertaining to the Karachi stock exchange and empirically tests for the presence of stock market bubbles in that stock market in recent years. A fundamental is estimated using a VAR approach, and residuals of this fundamental are tested for trends using Hamilton regime switching and Hurst rescaled range methods. Nonlinearities beyond ARCH are also tested for (...)
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  35.  15
    Failure of the Washington Consensus On Inequality and the Underground Economy in the Transition Economies.J. Barkley Rosser - unknown
    James Madison University Harrisonburg, VA 22807 Tel: 540-568-3212 Fax: 540-568-3010 Email: [email protected].
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  36.  54
    How complex are the austrians?J. Barkley Rosser - unknown
    Roger Koppl (2009, p. 1) argues that “Austrian economics is a school of thought within the broader complexity movement in economics.” Is he correct? While there are many who have argued for some overlapping between the two, I shall argue that this is probably an overly strong statement. The main reason is that there are substantial elements and strands within Austrian economics that do not fit in with any of the multiple varieties of complexity theory, even though there are some (...)
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  37.  8
    Honggang Li.J. Barkley Rosser - unknown
    A time series of the Shanghai stock index in China for the 1990s is studied for the possible existence of nonlinear speculative bubbles. Three alternative specifications of fundamentals are estimated using VAR models of domestic and international variables. These are subjected to regime switching tests and rescaled range analysis tests. Nulls of no persistence were mostly rejected, suggesting the strong possibility of bubbles. Nonlinearities beyond ARCH effects using the BDS test could not be rejected. The paper also discusses the special (...)
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  38.  9
    Harrisonburg, VA USA.J. Barkley Rosser - unknown
    We present three arguments regarding the limits to rationality, prediction, and control in economics, based on Morgenstern's analysis of the Holmes-Moriarty problem. The first uses a standard metamathematical theorem on computability to indicate logical limits to forecasting the future. The second provides possible nonconvergence for Bayesian forecasting in infinite dimensional space. The third shows the impossibility of a computer perfectly forecasting an economy with agents knowing its forecasting program. Thus, economic order is partly the product of something other than calculative (...)
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  39.  10
    Institutional Evolution and the Environmental Kuznets Curve.J. Barkley Rosser - unknown
    This paper examines how institutions for managing environmental resources change over time with economic development and the seriousness of environmental problems. Different problems tend to be more serious at different levels of development requiring different approaches. A major point is that traditional systems of management in poorer countries were often effective at managing common good resources, and institutions that replicate their advantages should be encouraged at higher levels of economic development as well.
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  40.  5
    Logique Combinatoire et λ-Conversion.J. Barkley Rosser - 1957 - Journal of Symbolic Logic 22 (3):293-293.
  41.  36
    Long wave chaos and systemic economic transformation.J. Barkley Rosser & Marina Vcherashnaya Rosser - 1994 - World Futures 39 (4):197-207.
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  42.  19
    Multiple Unofficial Economy Equilibria and Income Distribution Dynamics in Systemic Transition.J. Barkley Rosser - unknown
    Large increases unofficial economies in many transition economies arise from a dynamic interaction with rising income inequality and public sector changes in multiple equilibria system. Returns to unofficial activity are first increasing and then decreasing, implying two distinct stable equilibria, with changes in inequality possibly causing a jump from one to the other. Multiple regressions of data from 18 transition economies find income inequality significantly correlated with the size of the unofficial economy, with the maximum annual rate of inflation also (...)
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  43.  11
    Methoden zur Axiomatisierung Beliebiger Aussagen- und Pradikatenkalkule.J. Barkley Rosser & Karl Schroter - 1970 - Journal of Symbolic Logic 35 (1):140.
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  44.  18
    On the Foundations of Mathematical Economics.J. Barkley Rosser - unknown
    Kumaraswamy Vela Velupillai [74] presents a constructivist perspective on the foundations of mathematical economics, praising the views of Feynman in developing path integrals and Dirac in developing the delta function. He sees their approach as consistent with the Bishop constructive mathematics and considers its view on the Bolzano-Weierstrass, Hahn-Banach, and intermediate value theorems, and then the implications of these arguments for such “crown jewels” of mathematical economics as the existence of general equilibrium and the second welfare theorem. He also relates (...)
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  45.  11
    Paradigm Lost: The Transformation of Comparative Economics.J. Barkley Rosser & L. Kramer - unknown
    James Madison University Harrisonburg, VA 22807 USA Tel: 540-568-3212 Fax: 540-568-3010 Email: [email protected].
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  46.  10
    [email protected].J. Barkley Rosser - unknown
    I am writing this in December, 2010, the final month that I am Editor of the Journal of Economic Behavior and Organization (JEBO), having first assumed this position effectively in August, 2001.1 It has mostly been a rewarding, if increasingly time-consuming, experience, as submissions have approximately doubled over this period. I have gotten better at doing things more quickly, and the switch from snail mail to electronic handling of matters has speeded things up, but the workload has increased substantially. In (...)
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  47.  7
    Risk and Austrian business‐cycle theory: Rejoinder to Cowen.J. Barkley Rosser - 2000 - Critical Review: A Journal of Politics and Society 14 (1):95-97.
    abstract Cowen and I agree that rational‐expectations theory is unrealistic and that risk is difficult to quantify. However, we continue to disagree about the riskiness of consumption as opposed to investment. Since more investment might lead to a recession if investment is relatively risky, Cowen's use of rational‐expectations theory to buttress the Austrian school's claim that market economies can shift toward relatively more investment without experiencing macroeconomic disruption remains suspect.
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  48.  17
    State-Space Estimation of Rational Bubbles in the Yen/Deutschemark Exchange Rate.J. Barkley Rosser & L. Kramer - unknown
    The literature on speculative bubbles in foreign exchange rates is voluminous, with much of it failing to reject the presence of bubbles in many exchange markets.1 Serious testing of this issue began with the work of Meese (1986), Evans (1986), and Woo (1987). Each used a different approach, and each found evidence failing to reject the presence of bubbles in at least some exchange markets.
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  49.  30
    Special Problems of Forests as Ecologic-Economic Systems.J. Barkley Rosser - unknown
    Ecologic-economic systems tend to exhibit greater complexity than systems that are purely ecological or economic. The interactions between the two types often generates nonlinear relations that lead to various kinds of complex dynamics that complicate management and decisionmaking regarding them. Of these, forests have characteristics that lead them to have special problems not usually encountered in the management of such systems. A central one is the long time periods involved managing forests compared to most other such systems. This means that (...)
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  50.  15
    The foundations of economic complexity in behavioral rationality and heterogeneous expectations.J. Barkley Rosser - 2014 - Journal of Economic Methodology 21 (3):308-312.
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