A partially ordered extention of the integers

This paper presents a monotonic system of Post algebras of order +* whose chain of Post constans is isomorphic with 012 ... -3-2-1. Besides monotonic operations, other unary operations are considered; namely, disjoint operations, the quasi-complement, succesor, and predecessor operations. The successor and predecessor operations are basic for number theory.The editing of this unified version of two previous papers [Epstein, Rasiowa 1990, 1991] by the authors was completed, except for footnotes, while the first author visited at Warsaw University during June–July, 1994. The footnotes were added by the first author in September, 1994.Presented byRyszard Wójcicki     

Distinctions between subgroups of asthmatic children: Parental reactions to experimental separation

Parental reactions to experimental separation were analyzed for two groups of asthmatic children, those for whom behavioral factors were judged highly relevant to asthma and those for whom such factors appeared unimportant. The former group of 13 (predicted positives) had shown a highly significant improvement in asthma during separation from their families; the latter group of 12 (predicted negatives) had not. Coding of standardized interviews conducted around the time of separation disclosed that parents (mothers, especially) of predicted positives scored significantly higher than parents of predicted negatives on such scales as fussing over the child at the time of leave taking, missing child, experiencing pain and discomfort during the separation, being anxious over child's welfare, etc. Psychological test data did not discriminate between the parents' or childrens' groups as clearly as the more focused separation interviews but the test results were consistent with interview differences. The separation elicited very strong emotional reactions from several mothers.This study was supported by United States Public Health Service Grant No. HD01060 from the National Institute of Child Health and Human Development. Kirk Brady, John Means, loan Muser, and Claire Purcell contributed to data collection and/or data analysis.     

On regular modal logics with axiom □ ⊤ → □□ ⊤

This paper is devoted to showing certain connections between normal modal logics and those strictly regular modal logics which have as a theorem. We extend some results of E. J. Lemmon (cf. [66]). In particular we prove that the lattice of the strictly regular modal logics with the axiom is isomorphic to the lattice of the normal modal logics.The results in this paper were reported at Logic Colloquium '87 in Granada.     

A paradigm shift in Heidegger research

The Beiträge zur Philosophie mandates a paradigm shift in Heidegger scholarship. In the face of (1) widespread disarray in the current model, the new paradigm (2) abandons Sein as a name for die Sache selbst, (3) understands Welt/Lichtung/Da as that which gives being, (4) interprets Dasein as apriori openedness rather than as being-there, (5) understands the Kehre as the interface of Geworfenheit and Entwurf, not as a shift in Heidegger's thinking, (6) interprets Ereignis as the opening of the Da rather than as appropriation, and (7) understands human finitude as what gives all forms of being and all epochs in the history of being. The conclusion alludes to the function of Mitdasein (co-openness) as die Sache selbst.     

Hare on utilitarianism and intuitive morality

InMoral Thinking R. M. Hare offers a very influential defense of utilitarianism against intuitive objections. Hare's argument is roughly that utilitarianism conflicts with defensible moral intuitions only in unusual cases and that, in such cases, even defensible moral intuitions are unreliable. This paper reconstructs Hare's arguments and argues that they presuppose the success of his problematic proof of utilitarianism. Contrary to what many have thought, Hare's negative defense of utilitarianism against intuitive objections is not separable from his proof. In the second part of the paper I argue that Hare does not succeed in defending utilitarianism against the objection that it is too demanding. The final section of the paper sketches a substantially revised version of Hare's reply to intuitive objections. So revised, the argument is independent of Hare's proof and affords a plausible answer to the objection that utilitarianism is too demanding.Earlier versions of this paper were presented at Loyola University and Saint Olaf College. I am greatly indebted to my colleague Harry Gensler for helpful comments on numerous drafts of this paper. I would also like to thank Michael Gorr, Brad Hooker, Shelly Kagan, Heidi Malm, Richard Hare, Peter Singer, Onora O'Neill, George Trey, Joe Sullivan, and an anonymous referee. This paper developed out of a series of discussions with Mark Overvold. I dedicate the paper to his memory. I would also like to thank Loyola University for a paid leave of absence which enabled me to write the paper.     

Clients Helping Therapists Find Solutions to their Therapy

This paper is offered as a beginning toward including client perspectives on treatment and client participation in supervision. Rather than see therapists as technical experts who do things to people, many of us now see therapists as nonexperts who create conversations with people (Goolishian & Anderson, 1992). This new shift challenges the traditional training positions of supervisor and supervisee, respectively. Including clients' voices the supervisor participate from a nonexpert position.     

Defining features of natural kinds and artifacts

Two experiments investigated the role of three types of features (physical characteristics, functions, and chromosomal/molecular structure) in determining membership in natural kind and artifact categories. In the first, subjects decided if an object X would still be an X if it were different in one type of feature. A significant interaction was found between word type and change type, with the effects of chromosomal/molecular changes significantly greater for natural kinds than for artifacts, and the effects of functional changes significantly greater for artifacts than natural kinds. In the second experiment, subjects judged whether something would be an X if it were unlike instances of X in two of the above types of features, but like instances of X in one. There was again a significant interaction, with the effects of chromosomal/molecular features significantly greater for natural kinds than for artifacts, and the effects of functional changes significantly greater for artifacts than for natural kinds. These results suggest that chromosomal/molecular features define membership in natural kind categories and functional features define membership in artifact categories. The implications of these findings for the meaning of defining features are also discussed.The first experiment was conducted by the first author as part of a senior comprehensive exercise at Carleton College. We thank Kathleen Galotti, Matthew Gish, Neil Lutsky, and an anonymous reviewer for comments on earlier drafts of this article.     

Third Men: The Logic of the Sophisms at Arist. SE 22, 178b36–170a10

This article aims at elucidating the logic of Arist. SE 22, 178b36–179a10 and, in particular, of the sophism labelled "Third Man" discussed in it. I suggest that neither the sophistic Walking Man argument, proposed by ancient commentators, nor the Aristotelian Third Man of the , suggested by modern interpreters, can be identified with the fallacious argument Aristotle presents and solves in the passage. I propose an alternative reconstruction of the Third Man sophism and argue that an explanation of the lines regarding the identity of Coriscus and Coriscus the musician (178b39–179a3) is indispensable for its correct understanding, since they hint at another sophism in some important aspects analogous. Finally, I show that two contradictions concerning spotted by scholars in the passage are only apparent and can be dissolved once the assumption that the anti-Platonic Third Man argument is at stake here is discarded, and once the passage is read in the light of its agonistic context.     

Fragmentation and re-integration of experience

Secular and religious counselors require a model of psychotherapy that conceptualizes human beings as conscious, goal-seeking entities. Such a model, based on the construct being in one's own world, is sketched in broad outline in this essay. The building blocks for the model are the intentional modes that lie at the heart of the self-world dialectic in which we live our lives. It is demonstrated how these intentional modes are organized into a gestalt-like whole referred to as the existential gestalt. From the diagram of the existential gestalt the concepts of intentional clarity and modal congruence are derived. These concepts enable us to understand the processes of the fragmentation and re-integration of experience that lie at the heart of psychotherapy. Inclusiveness and purposefulness, two additional factors that are important for assessing the adequacy of the existential gestalt, are also briefly touched upon.     

In and behind a Lenneberg paradigm

Lenneberg suggested that a chimpanzee's linguistic ability could be tested by presenting sentences containing two prepositional phrases joined by a conjunction. This would involve joining two semantic propositions, and thus represents a more complex test of chimpanzee syntactic competence than previously attempted. Jane, a five year-old language trained chimpanzee, was tested on her ability to both produce and comprehend sentences involving a preposition (in or behind) and a conjunction (and). The results from production and comprehension were substantially the same. Jane showed the ability to appropriately deploy and, behind and in, but displayed very little flexibility in their use. It is suggested that a chimpanzee may be able to learn some rules of syntax but is not able to be creative with that syntax.     

Truth,Sentential Non-Compositionalit,and Ontology

The paper attempts to clarify some fundamental aspects of an explanationof the concept of truth which is neither deflationary nor substantive.The main aspect examined in detail concerns the ontological dimension of truth, the mind/language-world connection traditionally associated with the concept of truth. It is claimed that it does not make sense to defend or reject a relatedness of truth to the ontological dimension so long as the kind of presupposed or envisaged ontology is not made explicit and critically examined. In particular, it is shown that generally an objectual ontology is – often only implicitly – presupposed, i.e., an ontology admitting objects (substances), properties, relations, sometimes also facts, events, and the like. The paper demonstrates that such an ontology derives from the Principle of Semantic Sentential Compositionality and that this principle should be rejected. It introduces instead the Principle of Semantic Sentential Contextuality (or Context Principle) as the semantic basis of a new ontology, an ontology of primary states of affairs. After sketching such an ontology, it is shown that the relatedness of truth to the ontological dimension becomes intelligible.     

Counseling the abortion patient: A pastoral perspective

Unplanned pregnancies are common among women in every congregation. Ministers have an opportunity to offer pastoral abortion counseling to those who wish it that is different from secular problem pregnancy counseling; the minister can offer a value context and facilitate a deep investigation of the decision-making process in a personal way. Concrete information regarding abortion procedures, situational factors important in problem pregnancy decisions, and emotions associated with problem pregnancies are discussed under the headings healing, guiding, and reconciling.She has been involved professionally in the family planning field for six years.     

Computer content analysis of sex differences in the language of children

This study presents empirical procedures for the collection and content analysis of the oral language of kindergarten children. The analysis technique used material and machines available to most researchers. The results of the analysis of language samples of 144 randomly selected children from the entire kindergarten class of the Ithaca, New York, school system showed that boys produced significantly more language than did the girls as well as significantly more references to aggression, self, time, space, quantity, fears, good, act of oral communication, negation, and affirmation, and asked more questions of the examiner than did the girls. The girls made significantly more female references than did the boys. Implications for future research are discussed.     

Game Logic and its Applications II

This paper provides a Genzten style formulation of the game logic framework GLm (0 m ), and proves the cut-elimination theorem for GLm. As its application, we prove the term existence theorem for GL used in Part I.     

The responsive order: A new empiricism

The uniqueness of logic is upheld and contrasted with twenty roles of a wider responsive order that includes us and our procedures. Empirical responses are precise, but different in different approaches. Procedures and findings are independent of (not separable from) their concepts. Two-way feedback obviates a top-down derivation of findings from assumptions, hypotheses, history, or language. The postmodern problems of interpretation, conditions of appearances and relativism involve the ancient error of making perception the model-instance of experience. Instead, bodily interaction functions in language and precedes perception and interpretation. Logic, space time locations and individuated referents involve positional relations derived from comparing. Beyond Kuhn, Feyerabend, Newton and Einstein, if we can give interaction priority over comparing, the responsive objectivity of both can be upheld. A new empiricism, neither naive nor constructivist, uses the words order, explication, truth, and exactly to build on Wittgenstein and on Dilthey's hermeneutic. Natural language is metaphor-like, originally crossed. Logic must ignore its assumptions. It must render everything as a machine and drop humans and animals out. A new discipline is proposed, to move between the logical and the responsive orders, to deal with the machine/human interface and the social uses of science such as bioengineering.     

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.     

Theorizing Gender for Experimental Game Theory: Experiments with “Sex Status” and “Merit Status” in an Asymmetric Game

In experimental game-theoretic research, to the extent that sex has been considered at all, the approach has been to focus on the individual level of analysis. This paper reports the results of experiments designed to focus on sex/gender and to expand the level of analysis to include the institutional level. An asymmetric game was designed such that players in the male and female institutional locations had 3 and 2 alternatives, respectively. Players earned the institutional locations based on a test, so that top and bottom scorers respectively merited the 3- and 2-alternatives locations. Game-theoretic understandings of sex-of-player were compared to the expectations states theory concept of sex status; that is, men expect and are expected to perform more competently than women. Results indicated that top-scorer men and women behave similarly; bottom-scorer men resist their low merit status (behaving the most rationally of all player groups); bottom-scorer women accept their low merit status (behaving the most irrationally of all player groups). Whereas game theory cannot provide a coherent understanding of these findings, the concept of sex status helps to interpret the behavior of all four player groups and shows how judgments about rationality and irrationality depend critically on the interpretive framework used.     

The Self Psychology of Heinz Kohut: What's It All About Theologically?

As a psychoanalytic thinker who offered by means of his self psychology a new paradigm of psychological development and functioning, Heinz Kohut was also a theologian manqué. With the help of the method of interpretation devised by Paul Tillich and David Tracy, Kohut's limit-concepts of tragic man, the self-object, and empathy, all set within his theory of narcissism, are elucidated as theological constructs. These are critiqued for adequacy from a Christian perspective. The conclusion is that Kohut's understanding of the human dilemma and of the way of salvation correlates well with Christianity, while his view of empathy as the means of salvation has created some confusion. Kohut has thus left an unfinished, profoundly important, agenda for theologians and clinicians.     

Family therapy for the “Truncated” nuclear family

The truncated nuclear family is the commonest or gardenvariety family psychopathology observed by therapists, and consists of a two-generation group in which heated, prolonged conflict has produced a polarization of values which has generated pathogenic relating, raising the potential for a family member to become scapegoated and react in a disorganized or disoriented manner. Although many so-called intact families are of the truncated variety, the single-parent family is at special risk. Go-between process is a useful family therapy for the truncated nuclear family because it enables the therapist to depolarize sharply conflicted values and is a mechanism for reducing pathogenic relating.This article was originally an invited presentation for the Third Annual Research Symposium of the Eastern Pennsylvania Psychiatric Institute, held in Philadelphia on February 22, 1980.     

“Some more” notes,toward a “third” sophistic

Historians of rhetoric refer to two Sophistics, one in the 5th century B.C. and another c. 2nd century A.D. Besides these two, there is a 3rd Sophistic, but it is not necessarily sequential. (The 3rd is counter to counting sequentially.) Whereas the representative Sophists of the 1st Sophistic is Protagoras, and the second, Aeschines, the representative sophists of the 3rd are Gorgias (as proto-Third) and Friedrich Nietzsche, Jean-François Lyotard, Michel Foucault, Jacques Lacan, and Paul de Man.To distinguish between and among Socrates, Plato, and Aristotle, and then Protagoras, Gorgias, and Lacan, the author determines how far each of these personages can count. The model of counting, used semiotically across the topoi of possible/impossible, is that of the people of New Guinea: one thing, two things, many things. It is determined (generally) that the philosophers, including Aristotle, count to one; the Sophists to two; and Gorgias, Lacan, and Lyotard, et al. count to many things, thereby breaking up a monism or binarism. The ancient philosophers employ a substratum of probability to hold together the contraries of possible/impossible; the Sophists employ anti/logic, which keeps the contraries/antitheses separate and therefore without synthesis, but which eventually threatens the integrity of the substratum, or the law of non-contradiction; and Gorgias, Lacan, Lyotard et al. theorize about the impossibility/Resistance of the Logos (reason, logic, law, argumentation, history) to Theory/Totalization, because of the Gorgian Kairos and the Lacanian Real — both of which enter the Logos and break up the cycle of the antitheses and create something new, irrational (Untersteiner).This breaking up has a negative/positive influence on Protagoras's man-measure doctrine, which in turn has a similar influence on the problem of the ethical subject. The subject/agent not only no longer knows (by way of Logos) but also no longer acts (as independent agent); the subject becomes a function of Logos as determined by Kairos/Real; it moves from a hypotaxis/syntaxis of one and two to a radical parataxis/paralogy of some more.From the Impossibility/tragedy of knowledge, however, comes the Possible, or Possibilisms, which allows for the new (though divided) ethical subject to reclaim its position as individual. Such a reclamation of the subject, however, has a profound effect on argumentation, and especially the notion of consensus. What is wanted, then, in a Third Sophistic ethical — as opposed to a political — rhetoric is dissensus through radical parataxes and paralogies.