Can Parts of Space Move? On Paragraph Six of Newton’s Scholium

Paragraph 6 of Newtons Scholium argues that the parts of space cannot move. A premise of the argument – that parts have individuality only through an order of position – has drawn distinguished modern support yet little agreement among interpretations of the paragraph. I argue that the paragraph offers an a priori, metaphysical argument for absolute motion, an argument which is invalid. That order of position is powerless to distinguish one part of Euclidean space from any other has gone virtually unremarked. It remains uncertain what the import of the paragraph is but it is not close to apparently similar arguments of Leibniz.     

Demonstrative utterances

Conclusion We have worked out a small part of a program originally devised by Kaplan which included a clarification of the phrase y intends to demonstrate x. The analysis of demonstrative utterances, combined with a theory of deferred ostensive reference, enabled us to account for a much larger class of utterances (accompained by a relevant gesture) than expected. Regrettably, the analysis forces more questions on us than it answers. Although I have used the term gesture quite freely without providing any sort of explication, there is much more to say about gestures and their relation to speech. Especially questions concerning the ontological nature of gestures (What kind of a thing is a gesture anyway?), their epistemological status (How can we tell gestures apart from other actions?), and their semantic status (What makes a gesture have meaning?) have remained largely unexplored. To my knowledge, no philosopher in the analytic tradition has addressed those issues in any systematic manner.     

Leadership of antireligious propaganda in the Soviet Union

Re-emergent scientific atheism bears the marks of its historical origins in the efforts of Bon-Bruevi and Jaroslavskij. The disciples of the Lenin generation use their fathers somewhat as second-level classics.     

The array size function in simple visual search tasks: A comparison between “go-no go” and “yes-no” tasks under conditions of high and low target-noise similarity

Summary In research on visual search within a single eye-fixation a number of different tasks are used and referred to interchangeably. Research with other types of tasks suggests that there are possibly important differences between these tasks. In the present study, two types of search tasks were compared under conditions as equal as possible: the go-no go task and the yes-no task. Conditions of low and high target-noise similarity were used. The results obtained showed: a) a steeper slope of the array size function in yes-no tasks than in go-no go tasks on the first day of practice but not on the second: b) a higher intercept value of the same function for yes-no tasks than for go-no go tasks; and c) a greater proportion of errors with yes-no tasks than with comparable go-no go tasks. A tentative model, describing the main features of the results obtained, is briefly sketched.     

Theor of free choice permission

I argue that the conjunctive distribution of permissibility over or, which is a puzzling feature of free-choice permission is just one instance of a more general class of conjunctive occurrences of the word, and that these conjunctive uses are more directly explicable by the consideration that or is a descendant of oper than by reference to the disjunctive occurrences which logicalist prejudices may tempt us to regard as semantically more fundamental. I offer an account of how the disjunctive uses of or may have come about through an intermediate discourse-adverbial use of or, drawing a parallel with but, which, etymologically, is disjunctive rather than conjunctive and whose conjunctive uses seem to represent just such a discourse-adverbial application.     

From negation to “notion”: Cognitive processes and argumentative strategies

Summary This article deals with the role of negation as a language and cognitive operation. Such a topic is treated here within the framework of the argumentative strategies which consist in making certain cognitive landmarks of the discourse flip over with the intent of imposing the necessity to choose between two types of notions, aiming at the transformation of this choice into an implication. The reference here to the Aristotelian logic of Prior Analytics appears to be more efficient than any other contemporary logic and the author intends to give account of the role of negation as contrary coming into play on an operational and cognitive basis in all the argumentative strategies which oscillate reciprocally from universal to particular.     

Kenneth Strike on Liberalism,Citizenship and the Private Interest in Schooling

After indicating a number of points of agreement with the argument 0eveloped by Kenneth Strike in his article Liberalism, Citizenship and the Private Interest in Schooling, this article identifies and explores a number of queries and criticisms which arise in relation to that argument. These queries and criticisms relate especially to the nature and extent of the expansiveness involved in Strike's conception of public or common educational influence, and to the implications and justification of the claim that private educational interests enjoy a greater salience and recognition on Strike's view of public or common educational influence than on some alternative views.     

Early German approaches to experimental reading research: The contributions of Wilhelm Wundt and Ernst Meumann

Summary Wundt looked at the reading process from a predominantly theoretical perspective. He opposed the total shape theory formulated by Erdmann and Dodge and insisted on the occurrence of attention shifts during word recognition. As an alternative to the total shape theory, he formulated a two-stage theory of word recognition. An initial, apperceptive phase of reading is concerned with the active analysis of visually salient local details, and a second, assimilative phase fills in the unanalyzed parts of words on the basis of a passive evocation of earlier experiences with graphemic input. Meumann looked at the reading process from the point of view of an educational psychologist. His review of experimental reading research presents most of the basic issues which are still controversial today. In his recommendations for the teaching of reading, he emphasized the importance of analyzing words into their constituent sounds and of articulatory awareness as a precondition for the firm establishment of connections between graphemes and speech sounds. The review discusses some of the reasons why the experimentally based approach to the psychology of reading failed to evoke the interest of German educators after World War I.     

Letter Writing and the Performativity of Intimacy in Female Pedagogical Relations: Recuperating Derridean Amnesia,Writing Back to Madame de Maintenon

Performativity and performance of language are the subject of this re-writing of Derrida's position on the gift. Here the source of performativity is Althusser's while the source of the gift is not only Marcel Mauss, but also both the opening of Derrida's Given Time: I, Counterfeit Money and the signing through letters of Madame de Maintenon, wife of Louis XIV and founder of a school for girls. A third writing plays a role, that of a 1910 biography of Madame. The paper is a relay, a re-play of the positions of the central characters, -- Derrida and Maintenon -- and a semiology of their writings. Out of this a new gift of pedagogy is evoked in a conception of pedagogical retreat.     

Mathematical quantum theory I: Random ultrafilters as hidden variables

The basic purpose of this essay, the first of an intended pair, is to interpret standard von Neumann quantum theory in a framework of iterated measure algebraic truth for mathematical (and thus mathematical-physical) assertions — a framework, that is, in which the truth-values for such assertions are elements of iterated boolean measure-algebras (cf. Sections 2.2.9, 5.2.1–5.2.6 and 5.3 below).The essay itself employs constructions of Takeuti's boolean-valued analysis (whose origins lay in work of Scott, Solovay, Krauss and others) to provide a metamathematical interpretation of ideas sometimes considered disparate, heuristic, or simply ill-defined: the collapse of the wave function, for example; Everett's many worlds'-construal of quantum measurement; and a natural product space of contextual (nonlocal) hidden variables.More precisely, these constructions permit us to write down a category-theoretically natural correlation between ideal outcomes of quantum measurements u of a universal wave function, and possible worlds of an Everett-Wheeler-like many-worlds-theory.The universal wave function, first, is simply a pure state of the Hilbert space (L ₂([0, 1]) ^M in a model M an appropriate mathematical-physical theory T, where T includes enough set-theory to derive all the analysis needed for von Neumann-algebraic formulations of quantum theory.The worlds of this framework can then be given a genuine model-theoretic construal: they are random models M(u) determined by M-random elements u of the unit interval [0, 1], where M is again a fixed model of T.Each choice of a fixed basis for a Hilbert space H in a model of M of T then assigns ideal spectral values for observables A on H (random ultrafilters on the range of A regarded as a projection-valued measure) to such M-random reals u. If is the universal Lebesgue measure-algebra on [0, 1], these assignments are interrelated by the spectral functional calculus with value 1 in the boolean extension (V( )) ^M , and therefore in each M(u).Finally, each such M-random u also generates a corresponding extension M(u) of M, in which ideal outcomes of measurements of all observables A in states are determined by the assignments just mentioned from the random spectral values u for the universal position-observable on L ₂([0, 1]) in M.At the suggestion of the essay's referee, I plan to draw on its ideas in the projected sequel to examine more recent modal and decoherence-interpretations of quantum theory, as well as Schrödinger's traditional construal of time-evolution. A preliminary account of the latter — an obvious prerequisite for any serious many-worlds-theory, given that Everett's original intention was to integrate time-evolution and wave-function collapse — is sketched briefly in Section 5.3. The basic idea is to apply results from the theory of iterated measure-algebras to reinterpret time-ordered processes of measurements (determined, for example, by a given Hamiltonian observable H in M) as individual measurements in somewhat more complexly defined extensions M(u) of M.In plainer English: if one takes a little care to distinguish boolean- from measure-algebraic tensor-products of the universal measure-algebra L, one can reinterpret formal time-evolution so that it becomes internal to the universal random models M(u).     

Education for European citizenship: a philosophical critique

The European dimension of civic education can allow educators to promote many positive elements of internationalism. These include the promotion of general respect for the rule of law and for human rights and of commitment to democratic and egalitarian principles. This paper accepts these aspects of the European dimension in civic education. What it objects to is the attempt, through education, to change the focus of the political allegiance of young people by promoting the notion of European citizenship. Support for the valuable elements in the European dimension of civic education does not entail support for a contrived notion of citizenship for inhabitants of nations who have long civic traditions of their own. In the first section of the paper, the project of appropriating education to engineer political loyalty to the New Europe is criticized. The second part of the article draws attention to certain unacknowledged difficulties in conceptualizing the shared identity which would be required in order to animate and sustain a sense of European citizenship.     

Variations in use of the term “or”

Two studies showed that adults' responses to questions involving the term or varied markedly depending upon the type of question presented. When presented with various objects (A's and B's) and asked to circle all things which are A or B subjects tended to circle A's as well as B's, whereas when asked to circle all the A's or B's subjects showed a relatively stronger tendency to circle one or the other. Moreover the nature of the sets of objects (As and Bs) influenced behavior as well. There was also evidence that the effects due to question wording or set type transferred.     

Beyond verisimilitude: A linguistically invariant basis for scientific progress

This paper proposes a solution to David Miller's Minnesotan-Arizonan demonstration of the language dependence of truthlikeness (Miller 1974), along with Miller's first-order demonstration of the same (Miller 1978). It is assumed, with Peter Urbach, that the implication of these demonstrations is that the very notion of truthlikeness is intrinsically language dependent and thus non-objective. As such, truthlikeness cannot supply a basis for an objective account of scientific progress. I argue that, while Miller is correct in arguing that the number of true atomic sentences of a false theory is language dependent, the number of known sentences (under certain straightforward assumptions) is conserved by translation; degree of knowledge, unlike truthlikeness, is thus a linguistically invariant notion. It is concluded that the objectivity of scientific progress must be grounded on the fact (noted in Cohen 1980) that knowledge, not mere truth, is the aim of science.For criticism and comments I am indebted to Noretta Koertge, David Miller, and an anonymous Synthese referee.     

Barker and Achinstein on Goodman

Barker and Achinstein think that it is not possible for a predicate like grue to serve as well as a predicate like green in the role of a qualitative or non-positional predicate. Their arguments consist in a number of attempts to show that one who possesses green in his language can do things with that predicate which one who must work with grue instead cannot do. However, they succeed in showing only that a qualitative predicate is better adapted to our needs than its positional counterpart, rather than that grue is not capable of being a qualitative predicate.     

Contextualism and the Skeptic: Comments on Engel

Mylan Engels paper (2004) is divided into two parts: a negative part, criticizing the costs of contextualism and a constructive part proposing a noncontextualist resolution of the skeptical problem. I will only address the constructive part here. The constructive part is composed of three elements: (i) a reconstruction or reformulation of the original skeptical argument, which draws on the notion of epistemic possibility (e-possibility), (ii) a distinction between two senses of knowledge (and two corresponding kinds of e-possibility): fallibilistic and infallibilistic, and (iii) an argument which tries to hoist the skeptic by their own petard, namely the closure principle (CP). As I will argue, there are two ways to understand Engels anti-skeptical argument. Only in one interpretation does the argument depend on the proposed reconstruction of the skeptical argument in terms of e-possibility. But this version of the argument is unsound. More importantly, the skeptic has a strong prima facie objection at her disposal, which applies to both interpretations of the argument. If this objection is valid, Engels argument does not hold. But once it is invalidated, his argument is superfluous.     

On the nature of meaning and its indeterminacy: Davidson''s view in perspective

In order to illustrate the nature of the indeterminacy of meaning, Donald Davidson sometimes compares it to the fact that we can measure length or temperature on different scales. In the following paper I try to explain first why we are supposed to expect such an analogy, given the semantics of the word meaning and of the word length or temperature. In the second part I examine how close the analogy is by distinguishing different forms of indeterminacy of meaning (viz., the indeterminacy of reference and the indeterminacy of truth) and ask whether both forms have an equivalent in a theory of measurement. I shall conclude that this is indeed the case.I would like to thank an anonymous reviewer for his or her detailed comments on a first version of this paper, which helped me to clarify my views considerably.     

Metaphysics and the interpretation of persons: Davidson on thinking and Conceptual Schemes

Certain metaphysical and epistemological presuppositions are shown to play a role in the defense of Davidson's claims that an empirically constructed theory of truth provides an adequate theory of meaning for any natural language. Dadivson puts forward demonstrative arguments in favor of these presuppositions in On the Very Idea of a Conceptual Scheme, Thought and Talk, and The Method of Truth in Metaphysics. These arguments are examined and found to include controversial and dubitable assumptions as premises. It is then suggested that both these controversial assumptions and Davidson's metaphysical and epistemological presuppositions can be partially defended, however, by dialectical, interpretive, and historical arguments that elucidate the nature of persons.     

The Weight of Context: Headscarves in Holland

This paper explores the potential of a contextual approach to multicultural conflict. It reconstructs two cases that were hotly debated in the Netherlands—Islamic headscarves for police officers and for court officers—and asks whether a contextual approach reaches compromises and thus promotes social stability more easily than a deductive approach. The argument is that a deductive approach accepts standing interpretations of normative principles, whereas a contextual approach reinterprets these principles in the light of the circumstances and that, whether or not it promotes social stability, a contextual approach makes us attend to otherwise neglected perspectives and thus yields greater normative insights.     

Utility theory with inexact preferences and degrees of preference

a–b* c–d is taken to mean that your degree of preference for a over b is less than your degree of preference for c over d. Various properties of the strength-of-preference comparison relation * are examined along with properties of simple preferences defined from *. The investigation recognizes an individual's limited ability to make precise judgments. Several utility theorems relating a–b * c–d to u(a)–u(b) are included.     

Natural deduction rules for English

A system of natural deduction rules is proposed for an idealized form of English. The rules presuppose a sharp distinction between proper names and such expressions as the c, a (an) c, some c, any c, and every c, where c represents a common noun. These latter expressions are called quantifiers, and other expressions of the form that c or that c itself, are called quantified terms. Introduction and elimination rules are presented for any, every, some, a (an), and the, and also for any which, every which, and so on, as well as rules for some other concepts. One outcome of these rules is that Every man loves some woman is implied by, but does not imply, Some woman is loved by every man, since the latter is taken to mean the same as Some woman is loved by all men. Also, Jack knows which woman came is implied by Some woman is known by Jack to have come, but not by Jack knows that some woman came.