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.     

Six-year-old children's understanding of sentences adjoined with time adverbs

The adjoining of clauses with temporal links is the basis for many sentences that convey sequence of events. The present study attempts to delineate 6-year-old children's (N=30) understanding of the meaning sequences imparted by sentences adjoined with after, before, and until. Their performance of the meaning sequence for each of 24 carefully constructed sentences is compared to an adult model. Analysis of the results (using a Wilcoxon Matched Pairs Signed Rank Test) indicated that: (1)Ss understood sentences adjoined with after according to an adult model more frequently than before adjoined sentences (P<0.01); (b) Until adjoined sentences with a negative marker in the main clause were understood according to an adult model more often than until adjoined sentences with no such negative element, but the difference was not significant at a=0.01; (3)Ss understood before adjoined sentences according to an adult model more often than until adjoined sentences, but the difference was not significant at a=0.01. In general, the results indicated that 6-year-olds have not yet completed development of an adult grammar with respect to adjoining clauses with temporal links, after, before, and until.     

The issue of generality in ethics

Conclusion Does ethics have adequate general theories? Our analysis shows that this question does not have a straightforward answer since the key terms are ambiguous. So we should not concentrate on the answer but on the question itself. Ethics stands for many things, but we let that pass. Adequate may refer to varied arrays of methodological principles which are seldom fully articulated in ethics. General is a notion with at least three meanings. Different kinds of generality may be at cross-purposes, so we must not expect theories to be general in sundry senses. Theory, for that matter, is itself ambiguous. Some thinkers say that ethics cannot have theories, while others deny it. We doubt whether opposing parties are talking about the same things.No wonder, then, that controversies in ethics are long-lasting and unproductive. We hope that the methodology we have presented will alleviate some of them. The examples we chose show that this is feasible. Views such as Hare's and Jonsen and Toulmin's which are seemingly wide apart, show convergence if we put them in a methodological perspective.Our analysis also suggests that many alleged differences between science and ethics could fade away if methodology is brought to bear on them. Specifically, the idea that ethics compares poorly with science in view of limited generality, or poor means of justification, is unfounded. Those who defend this view over-rate the powers of science.     

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.     

On Ultrafilter Logic and Special Functions

Logics for generally were introduced for handling assertions with vague notions,such as generally, most, several, etc., by generalized quantifiers, ultrafilter logic being an interesting case. Here, we show that ultrafilter logic can be faithfully embedded into a first-order theory of certain functions, called coherent. We also use generic functions (akin to Skolem functions) to enable elimination of the generalized quantifier. These devices permit using methods for classical first-order logic to reason about consequence in ultrafilter logic.Presented by André Fuhrmann     

Treating the “Wise Baby”

In a previous examination of Ferenczis concept of the Wise Baby (1996), I had noted both its applications and its limitations in the analytic treatment of an unusually intelligent adult. Ferenczis concepts of the origin of intellect in trauma and of the wise baby have often left the indistinct impression of being interrelated phenomena. In this paper, I regard as arguable the notion that very high intelligence is pathological when it is precocious. This return visit to the territory of the wise baby extends Ferenczis ideas about the origin and use of the intellect to include a consideration of what may constitute effective treatment for those who suffer from giftedness.Judith E. Vida, M.D. edits On the Arts for this journal. She is a Founding Member and Faculty of the Institute of Contemporary Psychoanalysis in Los Angeles, CA, a member of both American and International Psychoanalytic Associations, and of the Sándor Ferenczi Society of Budapest. Her private practice is in Pasadena, CA.Address correspondence to Judith E. Vida, 301 S. Fair Oaks Ave., Suite 406A, Pasadena, CA 91105, USA; e-mail: jvida@spence.net     

From I: A/M to “Who am I?”—Aggregation/Massification and Trauma-Based Affects and Object Relations in Groups: A Response to Earl Hopper

Hopper's portrayal of the fourth basic assumption of Incohesion: Aggregation/Massification has two components: (1) a revision of Turquet's theory of BA Oneness to incorporate the polarity of aggregation and massification stemming from annihilation anxiety; and (2) a conception of the difficult patient as having an encapsulated psychosis. Hopper's theory of the encapsulated psychosis offers an important but incomplete perspective in explaining borderline and narcissistic pathology, as well as psychological trauma. In this response to Hopper, I suggest that the fourth assumption is in fact a still more primitive state of boundary opening and closing. I also see a need to differentiate trauma as such from borderline pathology, and further hold that the relationship between Hopper's British Independent theory and trauma theories based on dissociation needs to be clarified.     

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.     

On a certain class ofm-address machines

Conclusion It follows from the proved theorems that ifM =Q, (whereQ={0,q ₁,q ₂,...,q }) is a machine of the classM _F then there exist machinesM _i such thatM _i(1,c)=M (q _i,c) andQ _i={0, 1, 2, ..., +1} (i=1, 2, ..., ).And thus, if the way in which to an initial function of content of memorycC a machine assigns a final onecC is regarded as the only essential property of the machine then we can deal with the machines of the formM ={0, 1, 2, ..., }, and processes (t) (wheret=1,c,cC) only.Such approach can simplify the problem of defining particular machines of the classM _F , composing and simplifying them.Allatum est die 19 Januarii 1970     

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.     

Development of Gender Differences in Children's Responses to Animated Entertainment

This study examined gender differences in children's responses to animated scenes from an action adventure versus a sad film, and to animated previews of a prototypical male versus female movie. Females were more likely than males to express sadness in response to the sad scene, and gender differences in intensities of sadness increased with age. Children were much more likely to stereotype the male preview as most liked by other boys, whereas the majority of children perceived the female preview as liked by either gender equally. In terms of enjoyment of the male and female previews, gender differences in enjoyment of the male preview were apparent only among children who perceived the film as more appealing to boys, and gender differences in enjoyment of the female preview were apparent only among children who perceived the film as more appealing to girls. Implications for children's programming are discussed.     

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     

Stereotyped connotations of masculine and feminine names

This study was designed to provide a basis to understand better antifeminine stereotyped attitudes that occur in association with a stimulus no more informative about a person than her first name. College students, mostly freshmen and sophomores, ascribed connotative meanings to common and uncommon masculine and feminine first names while imagining either real or ideal persons. The results from 48 subjects disclosed that the semantic dimension of potency (e.g., strength and bravery) is likely to be a fundamentally important connotation associated more with masculine names than with feminine names. Two findings very much supported this conclusion. Thus, the potency dimension was the only one of five dimensions of semantic meaning that: (a) yielded any masculine-feminine difference in the ideal condition, and (b) showed a disfavorable connotation for feminine names in comparison to masculine names in either the real or ideal condition.     

An Appreciation of Hal Childs' Critique of Historical Jesus Research

Biblical scholars have been exceedingly slow to grasp the implications of the Heisenberg principle, namely, that the observer is always a part of the field being observed, and disturbs that field by the very act of observation. In terms of the interpretive task, this means that there can be no question of an objective view of Jesus as he really was. Objective view; is itself an oxymoron; every view is subjective, from a particular angle of vision. We always encounter the biblical text with interests. We always have a stake in our reading of it. We always have angles of vision that can be helpful or harmful in interpreting texts. Historical writing does not treat reality; it treats the interpreter's relation to it, according to Brian Stock. All history, said the poet Wallace Stevens, is modern history. And historical criticism is a form of criticism of the present, according to Walter Kasper. All that is true, but only partially. For historical criticism can still help us recover an understanding of that past that holds out to us present meaning.     

Ghost Gestures: Phenomenological Investigations of Bodily Micromovements and Their Intercorporeal Implications

This paper thematizes the operative kinaesthetic style of world-experiencing life by turning to the ongoing how of our habitual bodily comportment: to our deeply sedimented way(s) of making a body; to schematic inner vectors or tendencies toward movement that persist as bodily ghost gestures even if one is not making the larger, visible gestures they imply; and to inadvertent isometrics, i.e., persisting patterns of trying, bracing, freezing, etc. All such micromovements witness to our sociality insofar as they are not only socially shaped, but perpetuate certain styles of intercorporeal interaction and sustain certain modes of responsivity. Reactivating the sediment -- retrieving the tacit choreography of everyday life from its anonymity and sensing our ongoing ways of living out the legacy of our communal body -- not only allows one's individual bodily style to shift, but can open new possibilities for healthy interkinaesthetic comportment. Such work can thus contribute to an embodied ethics in both theory and practice.     

Action incompleteness

The author has previously introduced an operator into dynamic logic which takes formulae to terms; the suggested reading of A was the bringing about of A or the seeing to it that A. After criticism from S. K. Thomason and T. J. Surendonk the author now presents an improved version of his theory. The crucial feature is the introduction of an operatorOK taking terms to formulae; the suggested reading of OK is always terminates.     

Death and the “life review” in Halakhah

Coping with old age involves resolving the task of integrity versus despair, which demands a nondefensive confrontation with the inevitability of death. Halakhah (Jewish ethics) also considered this task critical in later years of life, spoke of death's inevitability, and attempted to discourage denial of death. The Jewish approach seems compatible with Butler's concept of life review as a reconciliation with death and a reintegration of one's identity that occurs throughout later years. While the Eriksonian goal is confronting old age with a certain capacity for wisdom, the rabbis maintained that such wisdom must culminate in the creative act of repentance.     

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.     

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.     

Moral Responsibility, Determinism, and the Ability to do Otherwise

In his classic paper, The Principle of Alternate Possibilities, Harry Frankfurt presented counterexamples to the principle named in his title: A person is morally responsible for what he has done only if he could have done otherwise. He went on to argue that the falsity of the Principle of Alternate Possibilities (PAP) implied that the debate between the compatibilists and the incompatibilists (as regards determinism and the ability to do otherwise) did not have the significance that both parties had attributed to it -- since moral responsibility could exist even if no one was able to do otherwise. I have argued that even if PAP is false, there are other principles that imply that moral responsibility entails the ability to do otherwise, and that these principles are immune to Frankfurt-style counterexamples. Frankfurt has attempted to show that my arguments for this conclusion fail. This paper is a rejoinder to that reply; I argue that he has failed to show this.