INTRODUCTION G. Soros I was hoping to deliver a paper at the Wuhan Conference on Karl Popper's philosophy, but business interfered. ...

The importance of working memory in reading and mathematics performance has been widely studied, with recent research examining the components of WM and their roles in these educational outcomes. However, the differing relationships between these abilities and the foundational skills involved in the development of reading and mathematics have received less attention. Additionally, the separation of verbal, visual and spatial storage and processing and subsequent links with foundational skills and downstream reading and mathematics has not been widely examined. The current (...) study investigated the separate contributions of processing and storage from verbal, visual and spatial tasks to reading and mathematics, whilst considering influences on the underlying skills of verbal comprehension and counting, respectively. Ninety-two children aged 7- to 8-years were assessed. It was found that verbal comprehension was predicted by verbal storage and reading was predicted by verbal and spatial storage. Counting was predicted by visual processing and storage, whilst mathematics was related to verbal and spatial storage. We argue that resources for tasks relying on external representations of stimuli related mainly to storage, and were largely verbal and spatial in nature. When a task required internal representation, there was a draw on visual processing and storage abilities. Findings suggest a possible meaningful separability of types of processing. Further investigation of this could lead to the development of an enhanced WM model, which might better inform interventions and reasonable adjustments for children who struggle with reading and mathematics due to WM deficits. (shrink)

Reviewed Works:Chris Mortensen, Inconsistent Mathematics.Chris Mortensen, Peter Lavers, Category Theory.William James, Closed Set Sheaves and Their Categories.Chris Mortensen, Joshua Cole, Foundations: Provability, Truth and Sets.

Contrary to common belief, acceptance of Newtonian causation does not commit one to a mechanistic, materialistic, or deterministic understanding of the world. I argue that the Newtonian view can be assimilated to contemporary theoretical alternatives in psychology. This means that, given the Newtonian understanding of causation, it is possible for such alternatives to be scientific - to treat of causes - without requiring either mechanism, materialism, or mathematical formalizations. I argue that we best understand Newtonian causation as formal causation. I (...) do this by discussing the history of Newton's theory of causation and comparing his theory to Bacon's. I also compare Newton's theory of causation to Aristotle's, arguing that when we speak of formal causes we speak of our descriptions rather than the nature of things. We may accurately impute various elements of our scientific descriptions to the nature of things, but when we speak of formal causes, we are speaking of the patterns we use to describe the changes we observe rather than the nature of things themselves. Since any science must use such patterns, even alternative psychologies use Newtonian causation - if they are genuinely scientific alternatives. However, mathematics is not the only discipline that offers such patterned explanations. Moral explanations offer an alternate model for causal explanation. (shrink)

Este artículo ofrece un significativo aspecto nuevo según el cual el pensamiento de Newton se arraiga en el hermetismo y en la tradición de la sabiduría antigua. Por primera vez hace uso de importantes manuscritos que avalan la participación de Newton en la sabiduría antigua. Newton consideró seriamente incluir este material en el Libro III de los Principia, es decir, el argumento de la gravitación universal.

Kant claims that we cannot cognize the mutual interaction of substances without their being in space; he also claims that we cannot cognize a ‘spatial community’ among substances without their being in mutual interaction. I situate these theses in their historical context and consider Kant’s reasons for accepting them. I argue that they rest on commitments regarding the metaphysical grounding of, first, the possibility of mutual interaction among substances-as-appearances and, second, the actuality of specific distance-relations among such substances. By illuminating (...) these commitments, I shed light on Kant’s metaphysics of space and its relation to Newton and Leibniz’s views. (shrink)

I address a question recently raised by Simon Saunders concerning the relationship between the space-time structure of Newton-Cartan theory and that of what I will call “Maxwell-Huygens space-time.” This discussion will also clarify a connection between Saunders’s work and a recent paper by Eleanor Knox.

William (Bill) Newton-Smith was a renowned Canadian philosopher of science who spent his career largely in Oxford and then at the Central European University in Hungary.Newton-Smith was born in Ori...

In the seventeenth century, Newton published his famous experimentum crucis, in which he claimed that light is heterogeneous and is composed of (colored) rays with different refrangibilities. Experiments, especially a crucial experiment, were important for justifying Newton’s theory of light, and eventually his theory of color. Goethe conducted a series of experiments on the nature of color, especially in contradistinction to Newton, and he defended his research with a methodological principle formulated in “Der Versuch als Vermittler.” Goethe’s (...) principle included a series of experiments and resultant higher empirical evidence as mediator between the objective (natural phenomena) and the subjective (theory or hypothesis). Although the notion of experimentum crucis became popular among scientists, even until today, in reconstructing experimental research and for justifying theories, especially for rhetorical purposes, I propose that Newton’s justification of his theory of light and color is best reconstructed in terms of Goethe’s methodological principle. Finally, Goethe’s principle has important consequences for the contemporary philosophical underdetermination thesis. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:166 HUME'S INTEREST IN NEWTON AND SCIENCE Many writers have been forced to examine — in their treatments of Hume's knowledge of and acquaintance with scientific theories of his day — the related questions of Hume's knowledge of and acquaintance with Isaac Newton and of the nature and extent of Newtonian influences upon Hume's thinking. Most have concluded that — in some sense — Hume was acquainted (...) with and influenced by Newton's thought in particular and scientific thought in general. The genesis of this paper is the recent point of view put forward by Peter Jones which challenges the many permutations of this almost ritualistic standard line by removing Hume entirely from the Newtonian and the scientific scenes of thought. Jones argues that Hume knew less about Newton and science, and needed to know less about Newton and 2 science, than he believes is required by the above interpretation. Indeed, Jones argues that Hume's fundamental assumptions, which, according to Jones, derive ultimately from a form of Ciceronian humanism, drive a "wedge" between Newton's thought and that of 3 Hume. Even Hume's introductory remarks in the Treatise about his universal "science of man" are, for Jones, a declaration of independence from the materialistic trend (as Jones sees it) of Newtonian 4 science and not, as so many commentators have maintained — however tenuously or strongly evidence for linkage of Hume's project with Newtonian or scientific thought. Jones baldly argues that Hume totally lacked interest in science in general and in Newton and Newtonian science in particular. Following J. H. Burton's observation that Hume's work is surprisingly free from the "opinions" of contemporary scientists, 167 Jones states there is no evidence that Hume ever studied science at the University of Edinburgh or that he "pursued" scientific studies of any formal sort. Regarding Newtonian scientific thought, he emphasizes the paucity of specifically Newtonian scientific textbooks in the early eighteenth century 7 which might have been available for Hume to study and argues that nowhere in Hume's writings is there evidence of precise and detailed knowledge of Newton's science beyond what is available in Q Chamber's Cyclopaedia. Jones acknowledges that, in the Introduction to the Treatise, Hume utilizes a "general version" of Newton's "Regulae Philosophandi" from the beginning of Book III of Newton's Principia. Nevertheless, in Jones' view, Hume's fundamentally humanistic orientation separates him completely from g any Newtonian influence. Finally, according to Jones, Hume does not betray the least bit of knowledge of Newton's mathematics and its role in Newton's experimental methodology. On this evidence Jones grounds his central claim of Hume's "total lack of interest in contemporary science." What references there are to Newton and to science in Hume's works Jones finds "traceable to essentially literary predecessors such as Fontenelle or Montesquieu, or to standard works of theologians ] 2 or free-thinkers." The absence of clearly direct references to what Jones feels are scientific works results both from Hume's "total lack of interest in science" and from his commitment to a form of Ciceronian humanism which is "inimical" to what Jones finds to be the obvious materialistic tendencies of 13 science in the early modern period. Jones' account of the Ciceronian and French contexts of Hume's thought is excellent. But his claim that Hume had no interest whatsoever in science 168 is simply too strong and finally forces us to view science in Hume's day as equivalent to science in our own time, a manifestly anachronistic point of view. Throughout this paper, my argument will be conditioned by my view that Hume's interest in science cannot be separated from his epistemology or his religious scepticism. Hume's interest in science was precisely that of a man of letters of the eighteenth century vitally engaged in determining the proper use of scientific methodology in establishing the limits of the secular science of man once it has 14 been freed from the fetters of theology. Hume's interest in theological and epistemological issues inevitably gave rise to a strong interest on his part in the science of his day and in Newton's contributions... (shrink)

We construct a notion of teleparallelization for Newton-Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and can be obtained by null-reducing the teleparallel equivalent of a five-dimensional gravitational wave solution. This work thus strengthens substantially the connections between four theories: Newton-Cartan theory, Newtonian gravitation theory, general relativity, and teleparallel gravity.

During the mid-nineteenth century, the eminent British zoologist Alfred Newton recognized that some of the ideas embedded in Origin of Species provided new scientific rationales for the preservation of endangered species. He then embarked on a twenty-five-year-long campaign for law reforms and successfully lobbied Parliament to enact three new statutes for the preservation of endangered wild birds that gave priority to the scientific value of rare species. The account of Newton’s campaign presented in this article helps to locate (...) Newton in the nineteenth century conservation movement, while also shining a side light on the relationship between conservation science and policy-making more generally, including the variety of voices and approaches taken to conservation in the UK and US. Today, as we pursue new regulatory responses to critical environmental issues, such as biodiversity loss and climate change, the history of Newton’s campaign offers an early example of a successful approach to science-based law reform. It also shows how some of the issues that Newton and his contemporaries confronted at the science-policy interface in the nineteenth century are enduring and remain relevant today, including debates about; the role of scientist-advocates in policy-making, the criteria that make science advice effective, and whether the “democratization” of science leads to better policy decisions. (shrink)

How does our understanding of what it means to be rational affect our interpretation of the world around us? ... Essayists discuss the nature and extent of rationality - its content, focus, and the intrinsic guidelines for using the term "rational" when describing persons or actions. The distinguished contributors to this collection include Max Black, Steven J. Brams, James H. Bunn, Christopher Cherniak, Murray Clarke, Marjorie Clay, Paul Diesing, Antony Flew, John T. Kearns, D. Mark Kilgour, Hilary Kornblith, Charles (...) H. Lambros, Duncan MacIntosh, Alistair MacLeod, Robert G. Meyers, Erwin Segal, Zeno G. Swijtink, Brice R. Wachterhauser, and Paul Weirich. (shrink)

Newton's bucket, Einstein's elevator, Schrödinger's cat – these are some of the best-known examples of thought experiments in the natural sciences. But what function do these experiments perform? Are they really experiments at all? Can they help us gain a greater understanding of the natural world? How is it possible that we can learn new things just by thinking? In this revised and updated new edition of his classic text _The Laboratory of the Mind_, James Robert Brown continues (...) to defend apriorism in the physical world. This edition features two new chapters, one on “counter thought experiments” and another on the development of inertial motion. With plenty of illustrations and updated coverage of the debate between Platonic rationalism and classic empiricism, this is a lively and engaging contribution to the field of philosophy of science. (shrink)

In the seventeenth century, Newton published his famous experimentum crucis, in which he claimed that light is heterogeneous and is composed of rays with different refrangibilities. Experiments, especially the crucial experiment, were important for justifying Newton’s theory of light, and eventually his theory of color. A century later, Goethe conducted a series of experiments on the nature of color, especially in contradistinction to Newton, and he defended his research with a methodological principle formulated in “Der Versuch als (...) Vermittler.” Goethe’s principle included two elements: a series of experiments and resultant higher empirical evidence, which functioned as mediator between the objective and the subjective . Although the notion of experimentum crucis became popular among scientists for reconstructing experimental research and for justifying theories, especially for rhetorical purposes, Newton’s justification of his theory of light and color is best reconstructed in terms of Goethe’s methodological principle. Finally, Goethe’s principle has important consequences for the contemporary philosophical underdetermination thesis. (shrink)

It is now well-known that Newton–Cartan theory is the correct geometrical setting for modelling the quantum Hall effect. In addition, in recent years edge modes for the Newton–Cartan quantum Hall effect have been derived. However, the existence of these edge modes has, as of yet, been derived using only orthodox methodologies involving the breaking of gauge-invariance; it would be preferable to derive the existence of such edge modes in a gauge-invariant manner. In this article, we employ recent work (...) by Donnelly and Freidel in order to accomplish exactly this task. Our results agree with known physics, but afford greater conceptual insight into the existence of these edge modes: in particular, they connect them to subtle aspects of Newton–Cartan geometry and pave the way for further applications of Newton–Cartan theory in condensed matter physics. (shrink)

In all the criticisms that have shadowed the financial industry in recent years, the burden seems to be, that the reckless (as opposed to malicious) bankers too often took money of which they were the appointed stewards, and used it for speculation, especially in junk bonds. AsShaheen Borna and James Lowry argue in their "Gambling and Speculation" (the only article on gambling that I was able to raise on my computer) business speculation is probably wrong, since it is very (...) like gambling, which everyone knows is wrong. But why is gambling wrong? Ifwe, as the ethicists of business, are to adopt an uncharacteristically judgmental posture toward the most venerable American institutions, occupying the tallest and closest of American buildings, by calling their residents "gambIers," then surely we ought to be able to provide an account of the blameworthiness of gambling itself. That, at any rate, is the challenge I set myself for this paper. (shrink)

Language has been shown to play a key role in the development of a child’s theory of mind, but its role in adult belief reasoning remains unclear. One recent study used verbal and nonverbal interference during a false-belief task to show that accurate belief reasoning in adults necessarily requires language (Newton & de Villiers, 2007). The strength of this inference depends on the cognitive processes that are matched between the verbal and nonverbal inference tasks. Here, we matched the two (...) interference tasks in terms of their effects on spatial working memory. We found equal success on false-belief reasoning during both verbal and nonverbal interference, suggesting that language is not specifically necessary for adult theory of mind. (shrink)

The concept of self-motion is not only fundamental in Aristotle's argument for the Prime Mover and in ancient and medieval theories of nature, but it is also central to many theories of human agency and moral responsibility. In this collection of mostly new essays, scholars of classical, Hellenistic, medieval, and early modern philosophy and science explore the question of whether or not there are such things as self-movers, and if so, what their self-motion consists in. They trace the development of (...) the concept of self-motion from its formulation in Aristotle's metaphysics, cosmology, and philosophy of nature through two millennia of philosophical, religious, and scientific thought. This volume contains "Self-Movers" (David Furley), "Aristotle on Self-Motion" (Mary Louise Gill), "Aristotle on Perception, Appetition, and Self-Motion" (Cynthia Freeland), "Self-Movement and External Causation" (Susan Sauvé Meyer), "Aristotle on the Mind's Self-Motion" (Michael Wedin), "Mind and Motion in Aristotle" (Christopher Shields), "Aristotle's Prime Mover" (Aryeh Kosman), "The Transcendence of the Prime Mover" (Lindsay Judson), "Self-Motion in Stoic Philosophy" (David Hahm), "Duns Scotus on the Reality of Self-Change" (Peter King), "Ockham, Self-Motion, and the Will" (Calvin Normore), and "Natural Motion and Its Causes: Newton on the 'Vis Insita' of Bodies" (J. E. McGuire). Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. (shrink)

This article takes up Winch’s exploration of a certain dialectic in philosophical accounts of social inquiry, the poles of which I refer to as the under-laborer and over-laborer conceptions of philosophy. I argue that these conceptions, shown in Risjord and Reed, respectively, are caught in a dialectic of treating philosophy’s roles as either modestly clarifying or broadly determining the claims of social science. A third conception of philosophy, the therapeutic conception, is exemplified by Read et al.’s “New Wittgensteinian” interpretation of (...) Winch’s work as a way out of the dialectic. Discussing the strengths and weaknesses of the latter, I conclude that a stronger development of the therapeutic approach is needed to move past the dialectic. (shrink)

Sir Isaac Newton, writing in Latin, defined his celebrated laws of motion verbally. When the laws of motion are read as relating to his arithmetic and his calculus, division by zero is undefined so his physics fails at mathematical singularities. The situation is unchanged in modern real arithmetic and real calculus: division by zero is undefined so both Newtonian Physics and its modern developments fail at mathematical singularities. However, when Newton’s text is read as relating to transreal arithmetic (...) and transreal calculus, division by zero is defined and we show that the resulting Transreal Newtonian Physics does operate at mathematical singularities. We hold out the hope that the whole of modern physics may be similarly extended. We use the new physics to predict a convection current at the singularity in a black hole and suggest experiments in astronomy and high energy physics that might confirm or rebut our predictions. Thus our exegesis of Newton’s text extends mathematical physics and may, in future, extend experimental physics. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:James S. Mullican DETERMINISM, FATALISM, AND FREE WILL IN HAWTHORNE A recurrent theme in Nathaniel Hawthorne's writing is the relationship between fatalism and free will. His tales, romances, and notebooks contain explicit and implied references to man's freedom of choice and his consequent responsibility for his acts, as well as to "fatalities" that impel men to various courses of action. Much of the ambiguity in Hawthorne's fiction rests (...) on this conflict between the notions of human freedom and responsibility on one hand and fatalism on the other. Although there is no question that this theme was important for Hawthorne, there is much disagreement concerning what Hawthorne himself believed. Critics have taken virtually every position on the spectrum between the poles of complete freedom and complete fatalism. That this disagreement exists should not be surprising. Hawthorne was an artist, not a philosopher or theologian; an important element of his technique, perhaps essential to his vision of life, was his ambiguity. His dual vision of the world, of matter and spirit, of evil and good, and his emphasis now of one, now of the other, engender disagreement concerning his view of life. His alternate fascination with and apparent rejection of Puritanism have led some to believe he was a predestinarían, others to hold that he was a "libertarian," and at least one critic to write that Hawthorne believed in a "modified predestination." Turner argued that Hawthorne's attitude toward reform led him to fatalistic thinking. Since reform movements touched only the surface manifestations of vice, such movements were useless, in Hawthorne's view. The logical conclusion of such a position, reasoned Turner, was fatalism. "Hence reform which would stir only the superficial outcroppings and would leave untouched the real causes underneath would be futile at best. And since the true sources of evil, so Hawthorne thought, lie largely beyond the reach of human efforts, fatalism was the certain end of his thinking." Turner saw evidence for fatalism 91 92Philosophy and Literature in Hawthorne's fiction also: "... there is a clear suggestion that the decisions [by Hester, Dimmesdale, Rappaccini, Ethan Brand, and Hollingsworth] have been inevitable, that the agent responsible is fate rather than Hawthorne's character." This critic concluded that Hawthorne was convinced that "the universe, including man and man's soul, is governed by inexorable law." Some critics have linked Hawthorne's beliefs regarding free will and fatalism to his attitude toward Calvinism. Schneider wrote, "... Hawthorne translated into empirical truths the essential doctrines of Calvinism.... From the popular doctrine of reform, he returned to the Puritan doctrine of divine sovereignty." Schneider suggested that Hawthorne purified the doctrines of the Puritans and returned them to their original purpose, salvation of the soul. "He recovered what Puritans professed but seldom practiced—the spirit of piety, humility, and tragedy in the face of the inscrutable ways of God." Cowley wrote that Hawthorne "believed in predestination, as the Calvinists did." Mills was of the opinion that Hawthorne was the most sympathetic to the Puritans of the writers of his day, but that Calvinist dogma was moderated and softened in Hawthorne: "He did not accept completely the Calvinist doctrine of predestination, nor did he emphasize the supreme sovereignty of God which was the driving force of Calvinism." Other critics have granted some measure of freedom to Hawthorne's characters. Arvin wrote, "... freedom of choice exists, but on so narrow a basis that, once exercised in the wrong direction, it is forever resigned." Fairbanks held that Hawthorne reserved to man the initial moral choice which set up the chain of necessity, and from that notion Fairbanks drew the conclusion that, "Though often called a fatalist, Hawthorne believed in free will." Schwartz, in an unpublished doctoral dissertation, argued from Hawthorne's life and from his writings that he rejected fatalism in favor of free will. Wagenknecht noted that Hawthorne refused "to accept foreordination and total depravity." Still other critics have emphasized a paradoxical element in Hawthorne 's writing, his acceptance of both horns of the dilemma. Waggoner wrote: "He saw man as immersed in a mystery in which responsibility is at odds with fate. His own natural tendency was to emphasize causation at the... (shrink)

This paper examines the anthropocentric views of William Newton-Smith, Hilary Putnam, and Bas van Fraassen. It is argued in each case that the anthropocentric views in question are untenable and that the realist alternative is to be preferred.

Philosophers can learn a lot about scientific methodology when great scientists square off to debate the foundations of their discipline. The Leibniz/newton controversy over the nature of physical space and the Einstein/bohr exchanges over quantum theory provide paradigm examples of this phenomenon. David Howie’s splendid recent book describes another philosophically laden dispute of this sort. Throughout the 1930s, R. A. Fisher and Harold Jeffries squabbled over the methodology for the nascent discipline of statistics. Their debate has come to symbolize (...) the controversy between the “frequentist” and “Bayesian” schools of statistical thought. Though much has been written about the Fisher/jeffreys exchange, Howie’s book is now the definitive treatment of the subject. Though billed as a piece of history of science, it brims with philosophical insights. (shrink)

In this work, a neo-classical relativistic mechanics theory is presented where the spin of an electron is an inherent part of its world space-time path as a point particle. The fourth-order equation of motion corresponds to the same covariant Lagrangian function in proper time as in special relativity except for an additional spin energy term. The theory provides a hidden-variable model of the electron where the dynamic variables give a complete description of its motion, giving a classical mechanics explanation of (...) the electron’s spin, its dipole moments, and Schrödinger’s zitterbewegung, These features are also described mathematically by quantum mechanics theory, of course, but without any physical picture of an underlying reality. The total motion of the electron can be decomposed into a sum of a local spin motion about a point and a global motion of this point, called here the spin center. The global motion is sub-luminal and described by Newton’s Second Law in proper time, the time for a clock fixed at the spin center, while the total motion occurs at the speed of light c, consistent with the eigenvalues of Dirac’s velocity operators having magnitude c. The local spin motion is an inherent perpetual motion, which for a free electron is periodic at the ultra-high zitterbewegung frequency and its path is circular in a spin-center reference frame. In an electro-magnetic field, this spin motion generates magnetic and electric dipole energies through the Lorentz force on the electron’s point charge. The electric dipole energy corresponds to the spin-orbit coupling term involving the electric field that appears in the corrected Pauli non-relativistic Hamiltonian, which has long been used to explain the doublet structure of the spectral lines of the excited hydrogen atom. Pauli’s spin-orbit term is usually derived, however, from his magnetic dipole energy term, including also the effect of Thomas precession, which halves this energy. The magnetic dipole energy from Pauli’s and Dirac’s theory is twice that in the neo-classical theory, a discrepancy that has not been resolved. By defining a spin tensor as the angular momentum of the electron’s total motion about its spin center, the fundamental equations of motion can be re-written in an identical form to those of the Barut–Zanghi electron theory. This allows the equations of motion to be expressed in an equivalent form involving operators applied to a state function of proper time satisfying a neo-classical Dirac–Schrödinger spinor equation. This state function produces the dynamic variables from the same operators as in Dirac’s theory for the electron but without any probability implications. It leads to a neo-classical wave function that satisfies Dirac’s relativistic wave equation for the free electron by applying the Lorentz transformation to express proper time in the state function in terms of an observer’s space-time coordinates, showing that there is a close connection between the neo-classical theory and quantum mechanics theory for the electron’s dynamics. (shrink)

Polish roles in the First World War take center stage in a special section of this issue of JME. Although not a nation on maps of the time, many Poles considered themselves united as a people even...