Jung and the mystical theology of the Eastern Orthodox Church: Comments on common ground

The authors present a comparison of the cosmological, theological, and anthropological assumptions that underlie the mystical traditions of the Eastern Orthodox Church and certain of Jung's mystical observations about the universe, God, and humankind. It is argued that, one touchstone of scientific validity being the universality of observations independently made, the common ground of the two divergent systems of Eastern Orthodox and Jungian mysticism suggests a universality and scientific validity in Jung's assumptions about the great unknown.Bishop Chrysostomos is Academic Director of the Center for Traditionalist Orthodox Studies at the St. Gregory Palamas Monastery in Etna, CA. He received his doctorate in psychology at Princeton University.     

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     

Distance and fusion in Robinson Jeffers' “the purse-seine” and other poems

Distance and fusion are fundamental ideas in Bowenian thinking, especially as expressed in the dynamic of distancing and pursuing. In this paper I have used these ideas as a means to briefly examine a short selection of Robinson Jeffers' poetry, which provides us with a literary example of these concepts in action.My thanks to M. K. Lane and the anonymous reviewers of an earlier draft of this article for their many suggestions, especially to the reviewer who helped me better distinguish between distance and fusion, and intimacy and autonomy.     

Fuzzy intuitionistic quantum logics

Fuzzy intuitionistic quantum logics (called also Brouwer-Zadeh logics) represent to non standard version of quantum logic where the connective not is split into two different negation: a fuzzy-like negation that gives rise to a paraconsistent behavior and an intuitionistic-like negation. A completeness theorem for a particular form of Brouwer-Zadeh logic (BZL ³) is proved. A phisical interpretation of these logics can be constructed in the framework of the unsharp approach to quantum theory.     

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.

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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     

Reflections on “difficult” embeddings

The main purpose of this note is to present difficult embeddings of minimal and full intuitionistic logic into classical linear logic, and to prove their soundness and faithfulness. Moreover, it is also pointed out that Girard's translation of intuitionistic logic into classical linear logic is provably equivalent to one of the translations considered in this paper.     

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.     

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.     

From <Emphasis Type="Italic">Pintele Yid to Racenjude</Emphasis>: Chaim Zhitlovsky and racial conceptions of Jewishness

The Russian Jewish intellectual, Chaim Zhitlovsky (1865–1943), a leading architect of secular Jewish culture and thought, was a central figure in the progressive Jewish intelligentsia of the late nineteenth and early twentieth century. In an essay written in 1927, Yidn un Yiddishkayt (Jews and Jewishness), he sought to define the secular essence of what he calls Yiddishkayt. This essay is not the first in Zhitlovskys long publicistic career in which he searches for new, secular definitions of Jewish identity and culture. But this essay differs, since it is marked by Zhitlovskys use of contemporary social scientific notions of race and racial traits to conceptualize what he believes constitutes Jewishness in a non-religious context, along with his adoption of the mystical Jewish concept of the pintele yid, the theory of an innate Jewishness embodied by a Jewish spark. Zhitlovskys desire to craft a truly secular theory of Jewish identity led him ironically to accept models of Jewish identity at odds with his stated larger vision. In turning to contemporary racial theory, as well as long nurtured mystical models of Yiddishkayt, Zhitlovsky reveals the wide range of ideological discourses that led him to innovative and controversial notions of modern Jewish identity.     

Otto Rank's Conception of the Will

Rank is the only psychoanalyst to introduce the concept of will as central to an understanding of human psychology. The function of willing and the clear uniqueness of each individual challenge the causal, deterministic thinking of Freudian psychoanalysis and thereby the predictability of behavior. Thus, for the individual will means choice, and therefore moral responsibility for one's own acts. It also means the opportunity to create the new. The very formation of the individual self as it separates and differentiates itself from the maternal matrix is a creative act—one which inevitably precipitates a certain, but normally manageable, amount of guilt because of empathic feelings for the one who has been left—originally the mother. Beyond the creation of self, the will, through its creative role, helps to allay the inevitable human fear of the final separation, namely death by producing those manifestations of civilization—art, literature, music, and science—which in their generative capacity insure immortality.     

An abstract setting for Henkin proofs

A general result is proved about the existence of maximally consistent theories satisfying prescribed closure conditions. The principle is then used to give streamlined proofs of completeness and omitting-types theorems, in which inductive Henkin-style constructions are replaced by a demonstration that a certain theory respects a certain class of inference rules.     

Mapping sex group stereotypes of elementary and high school students

This study investigated the sex group stereotypes of youths of elementary and high school age. A total of 60 males and 60 females evaluated boys and girls on a semantic differential type scale. The results indicated that younger members of both sexes were more positive about their own sex and more negative about the opposite sex than were their older counterparts. In addition, adolescent males, but not adolescent females, adopted more favorable evaluations of the opposite sex over their own sex group. Possible explanations are offered to account for these findings.     

Models for stronger normal intuitionistic modal logics

This paper, a sequel to Models for normal intuitionistic modal logics by M. Boi and the author, which dealt with intuitionistic analogues of the modal system K, deals similarly with intuitionistic analogues of systems stronger than K, and, in particular, analogues of S4 and S5. For these prepositional logics Kripke-style models with two accessibility relations, one intuitionistic and the other modal, are given, and soundness and completeness are proved with respect to these models. It is shown how the holding of formulae characteristic for particular logics is equivalent to conditions for the relations of the models. Modalities in these logics are also investigated.This paper presents results of an investigation of intuitionistic modal logic conducted in collaboration with Dr Milan Boi.     

Delay of gratification as a function of exchange values and appetitive values of the rewards

This study examined the manner in which the probability of delaying gratification is affected by the exchange values and the appetitive values of the rewards offered. Several delay-of-gratification questions were used, requiring a choice between an early small reward and a reward twice as great due at a later time. A total of 6,799 fourth- and sixth-grade Israeli public school pupils participated in the study. Results consistent across sexes, grades, and two delay conditions (now versus in a week from now and in a week versus in a month) indicated that the tendency to delay gratification is directly related to the exchange values of the rewards offered but inversely related to their appetitive values. Several implications of these results for the Value X Expectancy model of delay behavior were discussed.The present report is based on data collected as part of a nationwide study on educational achievement in public schools in Israel supported by the Van Leer Foundation (Holland) and the Ministry of Education of Israel.     

Some kinds of modal completeness

In the modal literature various notions of completeness have been studied for normal modal logics. Four of these are defined here, viz. (plain) completeness, first-order completeness, canonicity and possession of the finite model property — and their connections are studied. Up to one important exception, all possible inclusion relations are either proved or disproved. Hopefully, this helps to establish some order in the jungle of concepts concerning modal logics. In the course of the exposition, the interesting properties of first-order definability and preservation under ultrafilter extensions are introduced and studied as well.     

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.     

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.     

Effects of perceptual and conceptual similarity in semantic priming

Summary The study investigates the different contributions to semantic priming of two components of the semantic representation underlying a word. The two components are perceptually based information and conceptually based information. Perceptual information is based on physical attributes such as shape or color, while conceptual information consists of more abstract elements such as functional attributes. The question asked in this study was whether both components would produce an effect in semantic priming. Pairs of words either related because of a conceptual property (banana-apple), a perceptual property (ball-apple), or both because of a perceptual and conceptual property (cherry-apple) were presented as prime and target in a lexical decision and a word-naming task. The results showed independent contributions of perceptual and conceptual attributes to semantic priming.This research was supported by a grant from the Dutch Organization for the Advancement of Pure Research (ZWO). All three authors are senior authors and have contributed to all parts of the project.