Construction of monadic three-valued Łukasiewicz algebras

The notion of monadic three-valued ukasiewicz algebras was introduced by L. Monteiro ([12], [14]) as a generalization of monadic Boolean algebras. A. Monteiro ([9], [10]) and later L. Monteiro and L. Gonzalez Coppola [17] obtained a method for the construction of a three-valued ukasiewicz algebra from a monadic Boolea algebra. In this note we give the construction of a monadic three-valued ukasiewicz algebra from a Boolean algebra B where we have defined two quantification operations and ^* such that ^*x=^*x (where ^*x=-^*-x). In this case we shall say that and ^* commutes. If B is finite and is an existential quantifier over B, we shall show how to obtain all the existential quantifiers ^* which commute with .Taking into account R. Mayet [3] we also construct a monadic three-valued ukasiewicz algebra from a monadic Boolean algebra B and a monadic ideal I of B. The most essential results of the present paper will be submitted to the XXXIX Annual Meeting of the Unión Matemática Argentina (October 1989, Rosario, Argentina).     

On superintuitionistic logics as fragments of proof logic extensions

Coming fromI andCl, i.e. from intuitionistic and classical propositional calculi with the substitution rule postulated, and using the sign to add a new connective there have been considered here: Grzegorozyk's logicGrz, the proof logicG and the proof-intuitionistic logicI set up correspondingly by the calculiFor any calculus we denote by the set of all formulae of the calculus and by the lattice of all logics that are the extensions of the logic of the calculus, i.e. sets of formulae containing the axioms of and closed with respect to its rules of inference. In the logiclG the sign is decoded as follows: A = (A & A). The result of placing in the formulaA before each of its subformula is denoted byTrA. The maps are defined (in the definitions of x and the decoding of is meant), by virtue of which the diagram is constructedIn this diagram the maps, x and are isomorphisms, thereforex ^–1 = ; and the maps and are the semilattice epimorphisms that are not commutative with lattice operation +. Besides, the given diagram is commutative, and the next equalities take place: ^–1 = ^–1 and = ^–1 x. The latter implies in particular that any superintuitionistic logic is a superintuitionistic fragment of some proof logic extension.     

One pastoral perspective on “anticipatory grief: The search for destiny”

I have been asked to respond to this case (Black, 1994) from the pastoral perspective of soul. More specifically, the perspective is that of minding the soul as a way of remembering who we are. For in Marcia's being present with Bill and Esther we are privileged to enter into their holy of holies, the inner sanctum of their souls as they found a way of remembering who they were together and individually. First, I will say more about soul and its meaning in relation to what Marcia has described. Next, I will briefly sketch an expanded view of the object-seeking frame in which she places it by including meaning-making as the destiny-fulfilling dynamic of all object-seeking relatedness. Finally, I will venture a response to her question of her being their descendant and this paper-presentation being their last legacy.     

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.     

A Translation of Intuitionistic Predicate Logic into Basic Predicate Logic

Basic Predicate Logic, BQC, is a proper subsystem of Intuitionistic Predicate Logic, IQC. For every formula in the language {, , , , , , }, we associate two sequences of formulas 0,1,... and 0,1,... in the same language. We prove that for every sequent , there are natural numbers m, n, such that IQC , iff BQC n m. Some applications of this translation are mentioned.     

Yes,Virginia, Lemons are Yellow

This paper discusses a number of themes and arguments in The Quest for Reality: Stroud's distinction between philosophical and ordinary questions about reality; the similarity he finds between the view that coloris unreal and the view that it is subjective; his argument against thesecondary quality theory; his argument against the error theory; and the disappointing conclusion of the book.     

O pojęciu zdania analitycznego

Rezultaty przedstawione w pracy niniejszej pokrywaj si czciowo z wynikami osignitymi przezR. Wójcickiego w pracy:Analityczne komponenty definicji arbitralnych. Studia Logica, t. XIV. Dotyczy to gównie rezultatów zawartych w czci pierwszej. Chciabym podkreli, i wyniki R. Wójcickiego uzyskane zostay cakowicie niezalenie od rezultatów przedstawionych w pracy obecnej.Allatum est die 16 Aprilis 1962     

Care and the dynamics of social world

The concept of social world is formulated for the purpose of deepening our understanding of the dynamics of inclusion, exclusion, and care in interpersonal interaction. World is defined as an irreducible subject-object polarity.Social world is the extremely fragile environment within which people meet, and is easily destroyed. With special attention to family and church life, the conditions for maintaining or losing this environment are examined. Three levels of social world are defined. On the highest level, mutual care, rather than shared opinion, is seen as the factor that facilitates the preservation of social world in the face of world-threatening issues.     

Tomboys and sissies: Androgynous children?

Psychological studies of masculinity-femininity in children have paralleled those done with adults, which often consider deviations from masculinity for males and femininity for females as abnormal and perhaps pathological. Children who demonstrate cross-sex behaviors, however, may become androgynous adults whose cross-sex behaviors mean flexibility, not pathology. This study had two purposes: (1) to identify potentially androgynous children as those labeled by their peers as tomboys and sissies; (2) to compare personality characteristics of androgynous children with those of peers. Subjects were 312 elementary school children in a midwestern city. Results indicate that the labels tomboy and sissy are not necessarily indicators of androgynous children, but important social behaviors are related to the labels. For males, the possibility of frustrated creativity was raised.     

On some structural aspects of physical problems

Bachelard's concept of the problématique is used in order to classify physical problems and their interrelations. This classification is effectuated along two dimensions. Along the horizontal dimension, physical problems are divided into the kinds that the different modes of physics' development define. These modes are themselves determined by the interplay among the conceptual system, the object and the experimentation transactions specific to physics. Along the vertical dimension, physical problems are classified according to the different stages of maturation they have to undergo before the process of their solution is effectively undertaken. To determine these maturation stages, the Althusserian conception of ideology is used. The interrelations between physical problems are examined through the introduction and elaboration of the notion interdependence network.It is a pleasure to thank Marcello Pera and Kostas Gavroglou for their very helpful comments and criticisms.     

The Origin of the Concept of “Allgemeinbildung” in 18th Century Germany

The German theory of education refers mainly to what is called Bildung. The historical sense of Bildung is not cultivaion, but cultivation for inwardness. This concept has two sources, the neo-platonic inner soul on one hand, pietistic piety on the other hand. The article shows that these sources had been part of European discussions before the development of national cultures after 1750. So the German concept of Bildung, famous for the German Sonderweg in culture and politics, had been composed out of non-German sources. The nationalizaiton of inwardness began at the end of the 18th century and was established in 19th century German Higher Education.     

Hick's interpretation of religious pluralism

Conclusion There is no question that Hick's theory rests upon multiple assumptions about a singular, transcendental grounding and the fundamental equality of the various religions that cannot be inductively verified beyond all doubt. That need not mean, however, that the attractiveness of his theory derives solely from the peculiar charm of supposing that the One and the Many are no more at odds in the realm of religion than anywhere else. For Hick's assumptions are not just an exercise in wishful thinking or wild speculation. They are based upon experience from within what he calls the benign circle of faith. Because the reality experienced is ambiguous, acceptance or rejection of his views will, of course, be a matter of choice. And, admittedly, this choice will be dictated not so much by a weighing of empirical evidence that might prove the various religions to be exactly as he sees them, as by a consideration of what we have been surveying in the preceding pages, namely, the import of seeing things as Hick does.

---

     

Lexical insertion,inflection, and derivation: Creative processes in word production

This study examines the distinction between creative and noncreative behavior as applied to the production of words and sentences. Under one hypothesis words such as governor and government are stored as independent units and produced by rote, but under another these nouns are not produced as fully integrated units but are generated by rules for combining stems (govern) and affixes (-ment and -or). Analyses of German and English speech errors supported the generation-by-rule thesis and indicated that word stems, prefixes, and suffixes must be separately stored in the internal lexicon and marked as to syntactic function in combining with other word components. The data also suggested a three-stage model of lexical processes in the production of speech: a lexical insertion stage whereby abstract lexical formatives are called on or introduced into sentences by means of abstract syntactic and semantic features; a rule application stage whereby feature agreement rules are applied to the formative and then inflectional, derivational, and phonological rules are applied to derive the phonetic string; finally a serial output stage whereby the phonetic string is translated into serially ordered motor commands.This research was supported by NIMH Grant RO 19964 to Donald Mackay.     

Rules in relevant logic — II: Formula representation

This paper surveys the various forms of Deduction Theorem for a broad range of relevant logics. The logics range from the basic system B of Routley-Meyer through to the system R of relevant implication, and the forms of Deduction Theorem are characterized by the various formula representations of rules that are either unrestricted or restricted in certain ways. The formula representations cover the iterated form,A ₁ .A ₂ . ... .A _n B, the conjunctive form,A ₁&A ₂ & ...A _n B, the combined conjunctive and iterated form, enthymematic version of these three forms, and the classical implicational form,A ₁&A ₂& ...A _n B. The concept of general enthymeme is introduced and the Deduction Theorem is shown to apply for rules essentially derived using Modus Ponens and Adjunction only, with logics containing either (A B)&(B C) .A C orA B .B C .A C.I acknowledge help from anonymous referees for guidance in preparing Part II, and especially for the suggestion that Theorem 9 could be expanded to fully contraction-less logics.     

The battle within the self, 1: An existential framework for understanding personality disorders

A new phenomenologically based model for understanding personality disorders is presented. This model draws upon the existential concepts of Dasein and pitch to explain how individuals with personality disorders have extremely constricted and rigid experiences of the world. When they were children, these individuals internalized and retained hypercritical, sadistic parental messages. Such covert parental voices are misidentified as rational evaluations by these patients who are deficient in their capacity to engage in rational self-evaluation. When these individuals are encouraged to observe and report upon the internalized self-attacks, their observing ego is strengthened and an effective groundwork is set for ultimate changes in behavior.     

Parameter estimation in latent trait models

Latent trait models for binary responses to a set of test items are considered from the point of view of estimating latent trait parameters=( ₁, , _n ) and item parameters=( ₁, , _k ), where _j may be vector valued. With considered a random sample from a prior distribution with parameter, the estimation of (, ) is studied under the theory of the EM algorithm. An example and computational details are presented for the Rasch model.This work was supported by Contract No. N00014-81-K-0265, Modification No. P00002, from Personnel and Training Research Programs, Psychological Sciences Division, Office of Naval Research. The authors wish to thank an anonymous reviewer for several valuable suggestions.     

Test of the violation of local realism in quantum mechanics with no use of Bell's inequalities

A novel and versatile polarization-entanglement scheme is adopted to investigate the violation of the EPR local realism for a non-maximally entangled two-photon system according to the recent nonlocality proof by Lucien Hardy. In this context the adoption of a sophisticated detection method allows direct determination of any element of physical reality (viz., determined with probability equal to unity in the words of Einstein, Podolsky and Rosen) for the pair system within complete measurements that are largely insensitive to the detector quantum-efficiencies and noise.     

Sexual coercion in high school dating

Retrospective data from a survey of Australian undergraduate university students indicated that sexual coercion leading to sex play and sexual intercourse is a feature of dating behavior in high school. Fifty-three percent of 217 females reported that a boy had overestimated the level of sexual intimacydesired, while 45 percent of 72 males reported that a girl had underestimated the level of sexual intimacydesired. While data was not gathered on ethnic origin, the majority of students were Australian born, although family of origin would have been culturally varied. The data illustrate sexual coercion leading to both sex play and intercourse, with a number of factors being implicated in its occurrence, including alcohol and drugs and males saying things they didn't really mean, through to threat and use of force. They support that the existence of sexual coercion among high school students, a population that has received little research attention in this area, is comparable to its existence in the college/university years.     

A further analysis of the affective meanings associated with male and female sex-trait stereotypes

This study was concerned with the qualitative differences in the male and female sex-trait stereotypes. Previous research employing the item pool of the Adjective Check List (ACL) had indicated no relationship between the stereotype loading of the adjectives and their favorability ratings. In the present study, university students rated the ACL items for strength and activity, and these ratings were used to demonstrate that the male stereotype was appreciably stronger and more active than the female stereotype. It was found that the strength ratings were highly correlated with both activity and favorability ratings which were, themselves, unrelated. It was concluded that the principal qualitative difference between the stereotypes lay in the connotations of activity and passivity associated, respectively, with the male and female stereotype traits, and that any assertion of greater social desirability for the male stereotype was based on its greater activity and not, as is often supposed, on its greater favorability.     

Commentary on Boharts “The Client is the Most Important Common Factor”

The cliché Treatment operates on patient to produce effects is reversed by Bohart into Client operates on treatments and procedures to produce effects. Although this formula has the advantage of underscoring the patient's responsibility and competence, it may also overemphasize his or her role. A more balanced formula could be Process operates on both patient and client to produce effects, as it means that neither the therapist nor the client, but the process is the operator. There seems to be not much to earn, if the old hero (the therapist) is replaced by the new one (the client). A more promising perspective opens if both give up their pretence to be the operator, or the one who knows what is to be done, and listen and submit to the logic of the process that goes beyond both.