Supererogation in Deontic Logic: Metatheory for DWE and Some Close Neighbours

In "Doing Well Enough: Toward a Logic for Common Sense Morality", Paul McNamara sets out a semantics for a deontic logic which contains the operator It is supererogatory that. As well as having a binary accessibility relation on worlds, that semantics contains a relative ordering relation, . For worlds u, v and w, we say that u w v when v is at least as good as u according to the standards of w. In this paper we axiomatize logics complete over three versions of the semantics. We call the strongest of these logics DWE for Doing Well Enough.     

Partially-Ordered (Branching) Generalized Quantifiers: A General Definition

Following Henkins discovery of partially-ordered (branching) quantification (POQ) with standard quantifiers in 1959, philosophers of language have attempted to extend his definition to POQ with generalized quantifiers. In this paper I propose a general definition of POQ with 1-place generalized quantifiers of the simplest kind: namely, predicative, or cardinality quantifiers, e.g., most, few, finitely many, exactly , where is any cardinal, etc. The definition is obtained in a series of generalizations, extending the original, Henkin definition first to a general definition of monotone-increasing (M) POQ and then to a general definition of generalized POQ, regardless of monotonicity. The extension is based on (i) Barwises 1979 analysis of the basic case of M POQ and (ii) my 1990 analysis of the basic case of generalized POQ. POQ is a non-compositional 1st-order structure, hence the problem of extending the definition of the basic case to a general definition is not trivial. The paper concludes with a sample of applications to natural and mathematical languages.     

Arithmetical Set Theory

It is well known that number theory can be interpreted in the usual set theories, e.g. ZF, NF and their extensions. The problem I posed for myself was to see if, conversely, a reasonably strong set theory could be interpreted in number theory. The reason I am interested in this problem is, simply, that number theory is more basic or more concrete than set theory, and hence a more concrete foundation for mathematics. A partial solution to the problem was accomplished by WTN in [2], where it was shown that a predicative set theory could be interpreted in a natural extension of pure number theory, PN, (i.e. classical first-order Peano Arithmetic). In this paper, we go a step further by showing that a reasonably strong fragment of predicative set theory can be interpreted in PN itself. We then make an attempt to show how to develop predicative fragments of mathematics in PN.If one wishes to know what is meant by reasonably strong and fragment please read on.     

Lotteries And Contexts

There are many ordinary propositions we think we know. Almost every ordinary proposition entails some lottery proposition which we think we do not know but to which we assign a high probability of being true (for instance:I will never be a multi-millionaire entails I will not win this lottery). How is this possible – given that some closure principle is true? This problem, also known as the Lottery puzzle, has recently provoked a lot of discussion. In this paper I discuss one of the most promising answers to the problem: Stewart Cohens contextualist solution, which is based on ideas about the salience of chances of error. After presenting some objections to it I sketch an alternative solution which is still contextualist in spirit.     

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.     

The liar: What paradox?

Most philosophers believe that the Liar Paradox is semantical in character, and arises from difficulties in the predicate true. The author argues that the paradox is pragmatic, not semantic, and arises from violations of essential conditions that define statement-making speech acts. The author shows that his solution to the paradox will not only handle the classical Liar sentences that are necessarily or intrinsically paradoxical, but also sets of Kripke-sentences that are contingently paradoxical.     

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.     

The logical structure of linguistic commitment II: Systems of relevant commitment entailment

In The Logical Structure of Linguistic Commitment I (The Journal of Philosophical Logic 23 (1994), 369–400), we sketch a linguistic theory (inspired by Brandom's Making it Explicit) which includes an expressivist account of the implication connective, : the role of is to make explicit the inferential proprieties among possible commitments which proprieties determine, in part, the significances of sentences. This motivates reading (A B) as commitment to A is, in part, commitment to B. Our project is to study the logic of . LSLC I approximates (A B) as anyone committed to A is committed to B, ignoring issues of whether A is relevant to B. The present paper includes considerations of relevance, motivating systems of relevant commitment entailment related to the systems of commitment entailment of LSLC I. We also consider the relevance logics that result from a commitment reading of Fine's semantics for relevance logics, a reading that Fine suggests.     

Is “some-other-time” sometimes better than “sometime” for proving partial correctness of programs?

The main result of this paper belongs to the field of the comparative study of program verification methods as well as to the field called nonstandard logics of programs. We compare the program verifying powers of various well-known temporal logics of programs, one of which is the Intermittent Assertions Method, denoted as Bur. Bur is based on one of the simplest modal logics called S5 or sometime-logic. We will see that the minor change in this background modal logic increases the program verifying power of Bur. The change can be described either technically as replacing the reflexive version of S5 with an irreflexive version, or intuitively as using the modality some-other-time instead of sometime. Some insights into the nature of computational induction and its variants are also obtained.This project was supported by the Hungarian National Foundation for Scientific Research, Grant No. 1810.     

Elementary Extensions of External Classes in a Nonstandard Universe

In continuation of our study of HST, Hrbaek set theory (a nonstandard set theory which includes, in particular, the ZFC Replacement and Separation schemata in the st--language, and Saturation for well-orderable families of internal sets), we consider the problem of existence of elementary extensions of inner "external" subclasses of the HST universe.We show that, given a standard cardinal , any set R * generates an "internal" class S(R) of all sets standard relatively to elements of R, and an "external" class L[S(R)] of all sets constructible (in a sense close to the Gödel constructibility) from sets in S(R). We prove that under some mild saturation-like requirements for R the class L[S(R)] models a certain -version of HST including the principle of +-saturation; moreover, in this case L[S(R)] is an elementary extension of L[S(R)] in the st--language whenever sets R R satisfy the requirements.     

The Web and the Quilt: Alternatives to the Heroic Journey Toward Spiritual Development

This paper poses a feminist challenge to stage models of spiritual development and suggests alternative metaphors to the common image of a heroic journey. Women's spirituality is typically more intuitive and relational than rational and individualistic and to express this, we employ metaphors of the web and the quilt. Support for the relevance of these metaphors comes from the spiritual autobiography of Jane Goodall, an anthology of African American women's writings about spirituality, and two qualitative research investigations of older women's spirituality. We conclude with an autobiographical account of our own spiritual development and engage in a dialogue-on-the-page in which we respond to each other's narratives.     

The drive for meaning in William James' analysis of religious experience

Summary Now that we have looked at the characteristics of mystical experience, we are ready to discuss the assumption made in this paper that mystical experience can be translated into an understanding of integration or the drive for meaning which Fingarette pursues in a much more analytic fashion. Reviewing the conversion process as an integration process we have seen that for the sick-souled, beset with the meaninglessness or melancholy which paralyzes his will, his own awareness of wrong in his situation prevents him from opening up to larger views of reality. But, as James has described, at the same time as the subject is attending so strongly to his own sense of worthlessness, all the while the forces of mere organic ripening within him are going on towards their own prefigured result, and his conscious strainings are letting loose subconscious allies behind the scenes, which in their way work toward rearrangements. Yet the rearrangements can only come about by obeying the command of Chaung-Tse: Cease striving. The result is self-transformation in reconciling, unifying states. There is achieved a supersensuous meaning to the ordinary outward data of consciousness; facts already objectively before us fall into a new expressiveness and make a new connection with our active life.However, James cautions us to realize that the same incursions of the subconscious which produce such reconciling, unifying states can also produce pathological states, a diabolical mysticism, a sort of religious mysticism turned upside down. In such a state the meanings of events become dreadful and the ruling emotion is pessimism. To this possibility James applied the pragmatic test, By their fruits..., and concluded that the mystical experience which brings optimism to the individual is a genuine experience and one which brings truth. In our context then, we would say that real integration brings the subject away from the melancholy and meaninglessness he felt into the genuinely insightful resolution of which Fingarette speaks.Conversion, then, is a process in James's analysis of religious experience analogous to the process of integration and meaning-discovery while mysticism is analogous to the state in which integration or meaning-discovery is achieved. Conversion is climaxed by self-surrender; mysticism is characterized by new determination, self-transformation: two ways of describing an indivisible event. Furthermore, the four characteristics James applies to mysticism are indeed characteristic of the experience of integration.Two other points should be added here which are much in line with James's treatment of experience. In the first place, one of the basic principles of radical empiricism is that not only objects but relations between objects are the subject of experience. Such an experience of relationships, of wholeness, is exactly what characterizes integration. At the same time, the five senses are suspended, and the insight is experienced with such a strong immediacy that it is almost sensed. James refers to this quality of mystical states: The records show that even though the five senses be in abeyance in them, they are absolutely sensational in their epistemological quality, if I may be pardoned the barbarous expression, - that is, they are face to face presentations of what seems immediately to exist.I am not saying that every integration is a mystical experience. Rather I have been saying that James's discussion of religious experiences such as healthy-minded, sick-souled, melancholy, conversion, and mysticism provide analogues for better understanding the phenomenological processes and characteristics of the drive for meaning and integration which Fingarette analyzes. In fact, the very notion of religion itself for James bears not just an analogous resemblance but perhaps an identification with integration. For in his personal letters James had defined religious experience as Any moment of life that brings the reality of spiritual things more home to one. And in Varieties James defines religion as a man's total reaction upon life....; his attitude towards what he felt to be the primal truth.If we look upon this outlook of James toward religion as an exaggeration of the reality of integration, we can follow James to what he perceives as the importance of religion upon an individual's life. The man of religious feeling possesses the excitement of a higher kind of emotion, an enthusiastic temper of espousal in regions where morality strictly so called can at best but bow its head and acquiesce. So we are brought again to the area of creativity in which an individual has experienced the widening of the area of his immediate experience and is re-born in the karmic pattern, a valid pattern for both James and Fingarette. As Fingarette describes it, the converted individual creates values which the dead reality he had previously faced did not possess. The result of the achieved integration is explained by James when referring to religious experience as an excitement of the cheerful, expansive, dynamogenic order which, like any tonic, freshens our vital powers. This emotion overcomes temperamental melancholy [meaninglessness] and imparts endurances to the subject, or a zest, or a meaning, or an enchantment and glory to the common objects of life.We might sum up this discussion not by a criticism of the shortcomings of James's treatment of the religious life, such as his apparent insensitivity to the part played by institutions in the religious experience itself, but rather by underscoring the richness of the phenomenological analysis James has undertaken. James Edie acknowledges that James's studies of religious experience itself rather than of religion. ... are not only more sound phenomenologically than some of the studies which have, under the influence of Husserl, up to now explicitly invoked the phenomenological method, but they are also the first to establish any solid basis for a true phenomenology of religious experience.And John Wild has pointed out the parallel between James's concept of melancholy and Heidegger's concept of anxiety as the genesis of the process of becoming: beginning with the prospect of death and nothingness, the individual gropes toward new birth.As we have seen, then, James's analysis of the varieties of religious experience leads to a fruitful discussion of the psychological processes involved in melancholy and meaninglessness, rearrangement and integration. In all such experiences, a sense of inner unity is reached to which the following words of Fingarette would apply by analogy: The soul-racking death which leads to blissful rebirth is the death of the subjectively experienced, anxiety-generated self perception; it is the emergence into the freedom of introspective self-forgetfulness of the psychically unified self.     

Illustrating two complementary enterprises at the interface of psychology and religion through reading Winnicott

Our work at the interface of psychology and religion can proceed in two complementary directions. When reading a psychological theory, (1) we may pay special attention to how certain concepts in particular, and the system of ideas as a whole, are being or might be used to interpret religious phenomena. We may focus on how those ideas may be involved in doing psychology of religion: the psychological interpretation of religious phenomena. Alternatively, (2) we may pay special attention to how certain concepts in particular, and the system of ideas as a whole, are being or might be used, either implicitly or explicitly, to make claims about human nature, about the meaning and purpose of life, about God. We may identify the psychology as religion-theology: psychological ideas potentially functioning in a religious-theological manner. I will illustrate this by: (a) examining D. W. Winnicott's article, Transitional Objects and Transitional Phenomena (1953/1986) in terms of three successive concepts or categories: transitional object, transitional phenomena, and a third intermediate area of experiencing; (b) considering how these categories can be used in psychology of religion; (c) reconsidering how the psychological categories may function as religious-theological. The discussion is intended to illustrate how we might more fully appreciate how and why a psychological theory may work well in doing psychology of religion when we more fully appreciate how that psychology implicitly functions as theology.     

The family as portrayed on prime-time television, 1947–1990: Structure and characteristics

Successful family series across four decades of American prime-time television were examined. Family portrayals were defined as either conventional or nonconventional. Conventional families were categorized as couples without children and couples with children. Nonconventional families were categorized as single parent or contrived. Additional family characteristics were also recorded including sex of single parent, reason for singleness, social class status, females employed outside the home, live-ins, race, and whether the presentation was dramatic or comedic. The data show a trend toward more equal presentation of conventional and nonconventional families, few divorced or female single parents, and few minority families. Implications of findings are discussed and future research questions suggested.     

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.     

Inverses for Normal Modal Operators

Given a 1-ary sentence operator , we describe L - another 1-ary operator - as as a left inverse of in a given logic if in that logic every formula is provably equivalent to L. Similarly R is a right inverse of if is always provably equivalent to R. We investigate the behaviour of left and right inverses for taken as the operator of various normal modal logics, paying particular attention to the conditions under which these logics are conservatively extended by the addition of such inverses, as well as to the question of when, in such extensions, the inverses behave as normal modal operators in their own right.     

The Deep Structure of Group Life: Unconscious Dimensions

There is a reconsideration and renaissance of interest in expanded conceptions of unconscious processes as they affect individuals and groups (Grotstein, 1999). Recent focus on social unconscious (Hopper, 1996) and cultural unconscious processes (Henderson, 1988) and the nature of intersubjectivity (Harwood and Pines, 1998) raise questions about the location of group analysis. This paper considers the deep structure of group life by examining four functions of the unconscious: repressive, conservative, creative, and mythopoetic (Ellenberger, 1970). On an individual level of analysis, these functions are equated respectively with formative ideas about the: personal–subjective, social–political, intersubjective–cultural and collective–objective unconscious. Group level analogs, as they develop and affect groups and their members, are explored as synthetic, shared, symbolicy and synchronous unconscious processes.     

Who Is I?

Whilst it may seem strange to ask to whom I refers, we show that there are occasionswhen it is not always obvious. In demonstratingthis we challenge Kaplan's assumptionthat the utterer, agent and referent of I arealways the same person.We begin by presenting what weregard to be the received view about indexicalreference popularized by David Kaplan in hisinfluential 1972 Demonstratives before goingon, in section 2, to discuss Sidelle'sanswering machine paradox which may be thoughtto threaten this view, and his deferredutterance method of resolving this puzzle. Insection 3 we introduce a novel version of theanswering machine paradox which suggests that,in certain cases, Kaplan's identification ofutterer, agent and referent of I breaks down.In the fourth section we go on to consider arecent revision of Kaplan's picture by Predelliwhich appeals to the intentions of the utterer,before arguing that this picture is committedto unacceptable consequences and, therefore,should be avoided if possible. Finally, insection 5, we present a new revision ofKaplan's account which retains much of thespirit of his original proposal whilst offeringa intuitively acceptable way to explain all ofthe apparently problematic data. In doing so,we also show how this picture is able toexplain the scenario which motivated Predelli'saccount without appealing to speakerintentions.     

Nietzsche's agon with ressentiment: towards a therapeutic reading of critical transvaluation

This paper examines the therapeutic implications of Nietzsche's critique of ressentiment and revenge as our signature malady. §I examines the obstacles to a therapeutic reading of Nietzsche's thought, including his anti-teleological tendencies and the value he places on sickness. Then there is the energetic problem of finding resources to tackle ressentiment, given the volitional exhaustion of modern nihilism. Finally, the self-referential implications of Nietzsche's critique of slave values threaten to trap his thought in a futile ressentiment against ressentiment. If the impulse to cure or redeem us from revenge through critical destruction repeats the logic of revenge, then the challenge for a therapeutic reading is to think through the transformation of revenge on the basis of repetition.An agonal reading of Nietzsche's philosophical practice is proposed to tackle these problems in §II.In Homer's Contest (1872), Nietzsche describes the transference (Übertragung) of Hesiod's evil Eris – goddess of war and destruction – into the good Eris of the contest or agon: destructive impulses are affirmed as stimulants, but also transformed into culture-building forces through an agonal regime of limited aggression. By superimposing this regime, as a model for Nietzsche's textual confrontations, on their unconscious text of embodied ressentiment, a therapeutic perspective emerges, based on three principles: affirmation; mutual empowerment; and externalisation. The agon performs an affirmative transformation of revenge on the basis of a fertile repetition: destructive affects (as in ressentiment) are transferred into constructive deeds of mutual antagonism. Through Nietzsche's agonal discourse, a reactive regime of internalised aggression is externalised in active deeds of limited philosophical aggression – a therapeutic transformation of (self-)destructive into constructive, philosophical impulses.     

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