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.     

Quantum Mechanical Unbounded Operators and Constructive Mathematics – a Rejoinder to Bridges

As argued in Hellman (1993), the theorem of Pour-El and Richards (1983) can be seen by the classicist as limiting constructivist efforts to recover the mathematics for quantum mechanics. Although Bridges (1995) may be right that the constructivist would work with a different definition of closed operator, this does not affect my point that neither the classical unbounded operators standardly recognized in quantum mechanics nor their restrictions to constructive arguments are recognizable as objects by the constructivist. Constructive substitutes that may still be possible necessarily involve additional incompleteness in the mathematical representation of quantum phenomena. Concerning a second line of reasoning in Hellman (1993), its import is that constructivist practice is consistent with a liberal stance but not with a radical, verificationist philosophical position. Whether such a position is actually espoused by certain leading constructivists, they are invited to clarify.     

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.     

The Role of Public Argument in Emerging Democracies: A Case Study of the 12 December 1993 Elections in the Russian Federation

The authors argue that in the 1993 Duma elections it was the Communist Party of the Russian Federation, led by Gennady Zyuganov, that incorporated rhetorical values and audience adaptation into its campaign strategy. Finding its discursive ground limited by history, the CPRF gradually shifted its rhetorical posture and argumentative strategies, redefining itself in the process. This evolution allowed the CPRF to employ the ideographs of democracy, will of the people, citizen, and other key terms of Western-style democracy, while retaining, albeit in transformed meaning, traditional communist ideographs such as justice and spirituality. In addition, the CPRF was able to borrow selectively from the history of the USSR between 1917 and 1989, thereby imbuing their political appeals with historical force and cultural memory.     

Three theories of nominalized predicates

By the term nominalization I mean any process which transforms a predicate or predicate phrase into a noun or noun phrase, e.g. feminine is transformed into feminity. I call these derivative nouns abstract singular terms. Our aim is to provide a model-theoretic interpretation for a formal language which admits the occurrence of such abstract singular terms.     

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.     

Happiness and virtue in Socrates' moral theory

Conclusion In Section IV above we start with texts whose prima facie import speaks so strongly for the Identity Thesis that any interpretation which stops short of it looks like a shabby, timorous, thesis-saving move. What else could Socrates mean when he declares with such conviction that no evil can come to a good man (T19), that his prosecutors could not harm him (T16(a)), that if a man has not been made more unjust he has not been harmed (T20), that all of happiness is in culture and justice (T16(a)), that living well is the same as living justly (T15)? But then doubts begin to creep in. Recalling that inflation of the quantifier is normal and innocuous in common speech (that job means everything to him, he'll do anything to get it, will stick at nothing) we ask if there is really no chance at all that no evil in T19, not harmed in T20 might be meant in the same way? The shift from no harm at T16(a) to no great harm at T16(b), once noticed, strengthens the doubt. It gets further impetus in T21(b) when to explain how all of happiness is in culture and justice he depicts a relation (that recurs more elaborately in T22) which, though still enormously strong, is not quite as strong as would be required by identity. The doubt seeps into T15 when we note that current usage did allow just that relation as a respectable use of the same.At that point we begin to wonder if resort to the Identity Thesis might not be just a first approximation to a subtler, more finely nuanced, doctrine which would give Socrates as sound a foundation for what we know he wants to maintain at all costs - the Sovereignty of Virtue - without obliterating the eudaemonic value of everything else in his world. We cast about for a credible model of such a relation of virtue to happiness and hit on that multicomponent pattern sketched on p. 9 above. We ascertain that this will afford a comprehensively coherent eudaemonist theory of rational action, while its rival would not, and will fit perfectly a flock of texts in Section V which the latter will not fit at all. Are we not entitled to conclude that this is our best guide to the true relation of virtue to happiness in Socrates' thought - the one for which he would have declared if he had formulated explicitly those two alternative theses and made a reasoned choice between them?The Socrates of this paper is the protagonist of Plato's earlier dialogues. I list these (by self-explanatory abbreviations), borrowed from T. Irwin, Plato's Moral Theory [1974] (hereafter PMT): Ap., Ch., Cr., Eud., Eu., G., HMa., HMi, Ion, La., Ly., Pr., R., I. I assume, but shall not argue here, that in this segment of his corpus, Plato aims to recreate the doctrines and arguments of his teacher in dramatic scenes, all of which (except for the Ap.) may be, and most of which undoubtedly are, fictional; I shall be referring these works, under this proviso, as Plato's Socratic dialogues. (I did not include the Menexenus in the above list, since the parody of a funeral oration in this dialogue is implicitly dissociated from Socrates.)     

Some notes on the nature of methodological indeterminacy

This paper is an attempt to extend the meaning of the concept of indeterminacy for the human sciences. The authors do this by coining the term methodological indeterminacy and arguing that indeterminacy is better understood when linked to specific methodological techniques. Paradoxically, while specific research techniques demonstrate that the issue of indeterminacy is complex, yielding the possibility of types and degrees, it does not eliminate the problem of translation first raised by Quine. However, the authors go on to argue that, from a research perspective, indeterminacy can and must be approached in such a way that it is possible to reduce cases of it, even though never completely eliminating it in the human sciences.     

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.     

On the Way to a Postmodern Curriculum Theory -- Moving from the Question of Unity to the Question of Difference

This article will examine the consequences of highlighting subject and difference in one of the curriculum theories that has been inspired by postmodernism. The term postmodernism is here first and foremost meant to signify the attempt to combine politics and morality with epistemology in accordance with Levinas, Lyotard and Bauman. The article will highlight some themes that need to be developed further for a postmodernism-inspired curriculum theory. A starting-point is a critique of the type of curriculum theory which has its base in the new sociology of education. From this critique, focused on universal claims, the Habermasian-inspired universalism is quickly and critically dropped and left behind, and another form of reasoning is embarked upon. The latter is inspired by a minotarian politics concept and tries to dissolve universalism as a prerequisite for critical conversations. With this background and with the help of Levinas, the article sets out to talk about difference without reduction to the Same and finally suggest a direction for a postmodern curriculum theory with a normative focus on knowledge.     

Stuffed Cabbage in the Old New School Cafeteria

The purpose of this lecture is to celebrate the memory of Aron Gurwitsch by examining and enlarging the domain of phenomenological clarification of some elements of what Gurwitsch called the logic of reality. Chief among those elements are the nature of the taken-for-grantedness of our existential belief, the difference between presentive and non-presentive indices of reality and the ground for the self-illumination of the world of working.     

On Alan Turing's anticipation of connectionism

It is not widely realised that Turing was probably the first person to consider building computing machines out of simple, neuron-like elements connected together into networks in a largely random manner. Turing called his networks unorganised machines. By the application of what he described as appropriate interference, mimicking education an unorganised machine can be trained to perform any task that a Turing machine can carry out, provided the number of neurons is sufficient. Turing proposed simulating both the behaviour of the network and the training process by means of a computer program. We outline Turing's connectionist project of 1948.In Memory of Robin Gandy     

Trying to Resolve the Two-Envelope Problem

After explaining the well-known two-envelope paradox by indicating the fallacy involved, we consider the two-envelope problem of evaluating the factual information provided to us in the form of the value contained by the envelope chosen first. We try to provide a synthesis of contributions from economy, psychology, logic, probability theory (in the form of Bayesian statistics), mathematical statistics (in the form of a decision-theoretic approach) and game theory. We conclude that the two-envelope problem does not allow a satisfactory solution. An interpretation is made for statistical science at large.     

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.     

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.     

Prosodic form and parsing commitments

This paper examines the question of whether there are effects of prosody on the syntactic parsing of temporarily ambiguous sentences containing complement verbs. It reports the results of five experiments employing cross-modal response tasks where the visually presented target word was either an appropriate or an inappropriate continuation in terms of the prosodic form of the preceeding auditory sentence fragment. Two experiments employing cross-modal naming only showed indications of sensitivity to syntactic and appropriateness manipulations when coupled with a simultaneous appropriateness judgment task. In contrast, the experiments employing cross-modal lexical decision showed greater sensitivity to syntactic and appropriateness effects. However, while the results from these studies replicated our earlier auditory parsing results and provided support for the suggestion that there are differences in visual and auditory parsing processes and for a constituent-based, minimal commitment type auditory parser, none of the studies demonstrated an effect of prosodic form on the parsing process.     

Philosophie der Arrieregarde

Bulgarian philosophical life is particularly poor and fruitless. As well as in all communist countries the development of Bulgarian Marxism-Leninism was marked by some very sharp controversies between dogmatics and revisionists. Bulgarian Orthodoxes are particularly militant and intolerant and on the contrary, revisionists are in reality very moderate and rather conservative. Therefore the deviations are insignificant and the degree of the destalinization is very small.     

The relevance of Habermas' communicative turn

This paper points out the way in which educational and communicative action (Habermas) are to be related. It is shown that earlier attempts to put Habermas ideas to use have led to a dead end because they do not realize clearly that the new basic notion introduced by Habermas, namely communicative action, is the expression of a communicative turn. It is argued that Habermas' concept expresses a radical new attempt to grasp the intersubjective character of social action. Next implications of this communicative turn for the concept of education as a social praxis are indicated. Education can be conceived of as a praxis responding to the vulnerability of a communicative self.     

Three views of demonstrative reference

Three views of demonstrative reference are examined: contextual, intentional, and quasi-intentional. According to the first, such reference is determined entirely by certain publicly accessible features of the context. According to the second, speaker intentions are criterial in demonstrative reference. And according to the third, both contextual features and intentions come into play in the determination of demonstrative reference. The first two views (both of which enjoy current popularity) are rejected as implausible; the third (originally proposed by Kaplan in Dthat) is argued to be highly plausible.     

To and from philosophy — Discussions with Gödel and Wittgenstein

I propose to sketch my views on several aspects of the philosophy of mathematics that I take to be especially relevant to philosophy as a whole. The relevance of my discussion would, I think, become more evident, if the reader keeps in mind the function of (the philosophy of) mathematics in philosophy in providing us with more transparent aspects of general issues. I shall consider: (1) three familiar examples; (2) logic and our conceptual frame; (3) communal agreement and objective certainty; (4) the transcommunal universality of mathematics; (5) the big jump to the potential infinite; (6) the reconciliation of local creation with the hypothesis of discovery; (7) Platonism as realism plus conceptualism; (8) foundational studies and mathematical practice; and (9) the decomposition of philosophical disagreements. The views of Gödel and Wittgenstein are emphasized in order to add specificity to the discussions.