We present some techniques in c.c.c. forcing, and apply them to prove consistency results concerning the isomorphism and embeddability relations on the family of ℵ 1 -dense sets of real numbers. In this direction we continue the work of Baumgartner [2] who proved the axiom BA stating that every two ℵ 1 -dense subsets of R are isomorphic, is consistent. We e.g. prove Con). Let K H , be the set of order types of ℵ 1 -dense homogeneous subsets of (...) R with the relation of embeddability. We prove that for every finite model L , : Con iff L is a distributive lattice. We prove that it is consistent that the Magidor-Malitz language is not countably compact. We deal with the consistency of certain topological partition theorems. E.g. We prove that MA is consistent with the axiom OCA which says: “If X is a second countable space of power ℵ 1 , and { U 0 ,\h.;, U n−1 } is a cover of D ▪ X x X -} x,x> ¦ x ϵ X } consisting of symmetric open sets, then X can be partitioned into { X i \brvbar; i ϵ ω } such that for every i ϵ ω there is l such that D ⊇ U l ”. We also prove that MA+OCA [xrArr] 2 ℵ 0 = ℵ 2. (shrink)

By B2 we denote the σ-ideal of all subsets A of the Cantor set {0,1}ω such that for every infinite subset T of ω the restriction A∣{0,1}T is a proper subset of {0,1}T. In this paper we investigate set theoretical properties of this and similar ideals.

By $\mathfrak{B}_2$ we denote the $\sigma$-ideal of all subsets $A$ of the Cantor set $\{0,1\}^\omega$ such that for every infinite subset $T$ of $\omega$ the restriction $A\mid\{0,1\}^T$ is a proper subset of $\{0,1\}^T$. In this paper we investigate set theoretical properties of this and similar ideals.

Reviewed Works:Andreas Blass, Saharon Shelah, Ultrafilters with Small Generating Sets.Andreas Blass, Saharon Shelah, There May Be Simple $P_{\aleph_1}$- and $P_{\aleph_2}$-Points and the Rudin-Keisler ordering may be downward directed.Andreas Blass, Near Coherence of Filters. II: Applications to Operator Ideals, the Stone- Cech Remainder of a Half-Line, Order Ideals of Sequences, and the Slenderness of Groups.Andreas Blass, Saharon Shelah, Near Coherence of Filters III: A Simplified Consistency Proof.Andreas Blass, Claude Laflamme, Consistency Results About Filters and the Number of Inequivalent Growth Types.Andreas Blass, (...) J. Steprans, S. Watson, Applications of Superperfect Forcing and Its Relatives.Andreas Blass, Saharon Shelah, Ultrafilters with Small Generating Sets. (shrink)

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This (...) historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic. (shrink)

The work of Jacques Ellul is useful in understanding and evaluating the implications of rapidly changing technologies for human values and democracy. Ellul developed three powerful theses about technology: technological autonomy, technological determinism, and technological bluff. In this essay, the authors explicate these views of technology, and place the work of Ellul in dialogue with the ides of other important theorists of technology. Ellul’s too-often overlooked theses about technology are relevant to our present technological society.

Impostors, confidence artists, and artful deceivers seem to have achieved a strange kind of popularity and even prestige in our contemporary political landscape, for reasons that remain elusive, especially given how harmful and socially unwanted such behaviors ostensibly are. Herman Melville’s 1857 novel, The Confidence-Man: His Masquerade, helps us shift our perspective on this seemingly irrational phenomenon because it points out how being susceptible to dupery is linked to the enjoyment of fiction itself. This insight also highlights the importance of (...) epistemological failure in the recent “return to aesthetics” in literary studies, where the positive dimension of unconsciously “willing one’s dupery” directly links aesthetic form to politics. The logic that connects aesthetics to unconscious enjoyment is then elaborated in the work of psychoanalytic thinkers such as Sigmund Freud, Jacques Lacan, Helene Deutsch and others to raise particular questions about how and why the enjoyment of being duped has been associated with feminine sexuality. Reading Melville’s novel while considering psychoanalytic concepts such as the “as if” personality, imposture, and interpassivity illuminates how confidence games play upon the ruses of sexuality, which have profound implications for why the public remains in thrall to the workings of known deceivers. (shrink)

This theory accords to volitions the status of basic mental actions, maintaining that these are spontaneous exercises of the will--a "two-way" power which ...

It is shown to be consistent that the reals are covered by ℵ1 meagre sets yet there is a Baire class 1 function which cannot be covered by fewer than ℵ2 continuous functions. A new cardinal invariant is introduced which corresponds to the least number of continuous functions required to cover a given function. This is characterized combinatorially. A forcing notion similar to, but not equivalent to, superperfect forcing is introduced.

If F ⊆ NN is an analytic family of pairwise eventually different functions then the following strong maximality condition fails: For any countable H ⊆ NN. no member of which is covered by finitely many functions from F, there is f ∈ F such that for all h ∈ H there are infinitely many integers k such that f(k) = h(k). However if V = L then there exists a coanalytic family of pairwise eventually different functions satisfying this strong maximality (...) condition. (shrink)

Talks 1952 -- Ojai, California 3 August -- August -- August -- Talks 1953 -- Bombay 4 March -- London 9 April -- Ojai, California 4 July -- Talks 1955 -- Amsterdam 26 May -- London 25 June -- Talks 1956 -- Madanapalle, India 26 February -- Brussels 24 June -- June -- Hamburg 6 September -- New Delhi 31 October -- Madras 26 December -- Talks 1957 -- Colombo, Sri Lanka 23 January -- January -- Talks 1958 -- Poona, (...) India 21 September -- Madras 26 October -- November -- Bombay 28 December -- Talks 1959 -- Madras 6 December -- December -- Bombay 23 December. (shrink)

It is shown to be consistent with set theory that every set of reals of size ℵ1 is null yet there are ℵ1 planes in Euclidean 3-space whose union is not null. Similar results will be obtained for other geometric objects. The proof relies on results from harmonic analysis about the boundedness of certain harmonic functions and a measure theoretic pigeonhole principle.

There has been much discussion about the nature and even existence of so-called “pure conscious events” (PCEs). PCEs are often described as mental events which are non-conceptual and lacking all experiential content (Forman 1990). For a variety of reasons, a number of authors have questioned both the accuracy of such a characterization and even the very existence of PCEs (Katz 1978, Bagger 1999). In this chapter, I take a somewhat different, but also critical, approach to the nature and possibility of (...) PCEs. I focus on several overlapping views found in recent analytic philosophy of mind and examine PCEs in light of them. After introducing terminology and some preliminary matters, I examine whether or not the “higher-order thought (HOT) theory of consciousness” rules out the possibility of PCEs, and conversely, whether or not PCEs show that the HOT theory cannot apply to all conscious states. The HOT theory says that what makes a mental state conscious is that it is accompanied by a higher-order thought to the effect that “I am in mental state M now.” A related theme will be to assess PCEs in light of the recent debate between so-called “conceptualists” and those who believe that there are “non-conceptual contents of experience.” Conceptualism, to which I am very sympathetic, is basically the view that all conscious experience is structured by concepts possessed by the subject. I argue that PCEs are indeed conceptual and so no threat to conceptualism. For example, standard criticisms of conceptualism do not apply to PCEs. Finally, I examine the possibility that PCEs are not conscious at all. In the end, my overall conclusion is that we should hold that PCEs are indeed compatible with both HOT theory and conceptualism or seriously question the idea that PCEs are conscious at all. (shrink)

The purpose of this text is to draw attention to eight forgotten heroes: William C. Bagley, Charles DeGarmo, David Felmley, William Torrey Harris, Isaac L. Kandel, Charles McMurry, William C. Ruediger, and Edward Austin Sheldon. They have been marginalized from our profession, and drawing upon their legacy is the best hope for restoring the profession of teaching today. This work also includes a chapter at the end of the book entitled "John Dewey's Forgotten Essays." The audience for this book includes: (...) 1) classroom teachers, 2) school administrators, 3) teacher educators, 4) deans and other university administrators, 5) college and university presidents, 6) legislators, 7) historians of education, 8) curriculum specialists, 9) specialists in teacher training, and 10) the general public. (shrink)

It is shown that the product of finitely many sequential, CLP-compact spaces is CLP-compact.

To any metric space it is possible to associate the cardinal invariant corresponding to the least number of rectifiable curves in the space whose union is not meagre. It is shown that this invariant can vary with the metric space considered, even when restricted to the class of convex subspaces of separable Banach spaces. As a corollary it is obtained that it is consistent with set theory that any set of reals of size ℵ 1 is meagre yet there are (...) ℵ 1 rectifiable curves in R 3 whose union is not meagre. The consistency of this statement when the phrase "rectifiable curves" is replaced by "straight lines" remains open. (shrink)

The first English translation of Fichte’s second set of 1804 lectures on the Wissenschaftslehre.

This comprehensive and important volume includes contributions by activists, journalists, lawyers and scholars from twenty-one countries. The essays map the directions the movement for women's rights is taking--and will take in the coming decades--and the concomittant transformation of prevailing notions of rights and issues. They address topics such as the rapes in former Yugoslavia and efforts to see that a War Crimes Tribunal responds; domestic violence; trafficking of women into the sex trade; the persecution of lesbians; female genital mutilation; and (...) reproductive rights. (shrink)

I refer to the social embodiment of creative intelligence as creative democracies. Today’s world pose great challenges and serious threats to human life and cannot be faced by just having new ideas or more knowledge and thoughts. Today’s world requires the power to face the unknown, a key feature of intelligence. Hence the urgent need of societies to mutate into creative democracies. We need to begin with a strong base. We need an understanding and development of human life from its (...) foundations and the simplicity of its origin in the creative freedom of reality and its intra-active intelligence, the power of all humans in our global world to meet and share meaning and interests. This essaysuccinctly highlights their foundations, prefaced by three cautionary reflections. (shrink)

This paper argues that for the purposes of any sort of serious discussion about immoral conduct in sport very little is illuminated by claiming that the conduct in question is cheating. In fact, describing some behavior as cheating is typically little more than expressing strong, but thoroughly vague and imprecise, moral disapproval or condemnation of another person or institution about a wide and ill-defined range of improper advantage-seeking behavior. Such expressions of disapproval fail to distinguish cheating from many other types (...) of immoral conduct. The discussion shows that we should set the concept aside and assess the moral disapproval implied by claims of cheating by reference to the moral and other principles that underlie the practice of sport. This allows us to consider carefully the complexity of the issues that are raised when allegations of cheating are made and not be distracted by the emotionally loaded, conversation-stopping tendency of the concept. This means that some types of disputes in sport will be messy and demand more effort to resolve, but the payoff will be better informed and more thoughtful discussions and greater awareness of the moral complexity of sport and of its principled underpinnings. (shrink)

In this paper we show that it is consistent with ZFC that the cardinality of every maximal cofinitary group of Sym(ω) is strictly greater than the cardinal numbers o and a.

In lieu of an abstract, here is a brief excerpt of the content:A Bridge From Analysis to Action:Psychodynamic Analyses of Religion and Michael S. Hogue's American ImmanenceAJ Turner (bio)I. IntroductionThe purpose of this essay is to work constructively with Michael S. Hogue's groundbreaking American Immanence: Democracy for an Uncertain World to demonstrate how psychodynamic analyses of religion are essential theoretical allies in the fight for resilient democracy. The "revolution in mind"1 that psychodynamic approaches contribute, especially in their analyses of religion, (...) both complements and complicates socio-political theory as a whole. In the improvisational spirit of "yes-and," the goal here is not to identify and decry the failures and shortcomings of Hogue's theopolitical vision but rather to inspire the recovery of a sibling discourse—a kind of "rebirth of a forgotten alternative"2—that also draws deeply from the American immanental tradition in order to add psychodynamic depth to Hogue's timely and important analysis. Psychodynamic theories of religion shed light on how symbolic identifications, including and especially ultimate concerns, structure personal and collective experience. By engaging religion and theology sympathetically, constructively, and creatively, theorists such as Rollo May, Gordon Allport, Karen Horney, Erich Fromm, and Ernest Becker departed from the skepticism, reductionism, and dismissal that characterized psychoanalytic analyses of religion in the wake of Freud.3 Each of these figures, and especially Becker whose work will be a focus in this essay, are noteworthy interlocutors for extending Hogue's theopolitical theorizing of resilient democracy, particularly in how they drew unique inspiration from the American immanental tradition [End Page 44] in their social analyses. In this respect, they provide a more robust theorization of the psychosocial conditions of the associational ethos needed to connect Hogue's conception of resilient democracy with forms of agonistic organization and democratic activism. Briefly stated, psychodynamic approaches are a helpful bridge for connecting these proposals to strategies of organization, their impediments, and collective action.In this way, both psychodynamic analyses of religion and Hogue's theopolitical innovation insist that no revolutionary political change is possible, and certainly not of the kind or scale needed to counter our wickedly entangled global crises, without a deep engagement with theological imaginaries. They differ, however, in their theoretical aims. Whereas Hogue compellingly argues for the political upshot of a theology deriving from the American immanental tradition, psychodynamic analysts of religion focus on the function of ultimate concerns in individual and collective life. In other words, American Immanence rests on a methodology of analyzing the philosophical and theological assumptions that have contributed to our climate crises and then presenting clear and compelling articulation of an alternative paradigm meant to open up new ways of being. In contrast psychodynamic analyses leverage conceptual clarity of psychic reality for the fundamentally therapeutic aim of transformation. At their best, both approaches share what could be called an etiological orientation to ontological questions in order to provide liberative alternatives through rational understanding and clarification, but the terrain, and thus the problems they hope to mitigate in their analyses are focused differently. Extending the visual metaphor, they are different lenses highlighting different areas of the same landscape. Furthermore, it must be said that neither are sufficient in themselves, but the psychodynamic theorists of religion to be highlighted in this essay share deeply with Hogue's heading in American Immanence.II. A Problematic AssumptionIn emphasizing and attempting to explain4 the role of non-rational processes in the both individual and social processes of perception and organization of experience, psychodynamic theories confound a widely held and problematic assumption that the triumph of rational analysis is the hallmark for building the society to which we should aspire. Political theory in general, [End Page 45] especially as it has taken its cues from a rationalist legacy about the inherently liberating force of Reason, has been weighted toward an assumption that its task of exposing the mystifications of power would suffice in inspiring more "rational" and therefore necessarily equitable social organization. This speaks to the longstanding socio-political interest in "consciousness raising" tactics, which are often meant to dispel "false consciousness." It even comes across in the emphases of Deweyan pragmatists on education. Psychologists of all stripes point out that this approach... (shrink)

Philosophical Analysis Its Development between the Two World Wars.

It is shown to be consistent that countable, Fréchet,α 1-spaces are first countable. The result is obtained by using a countable support iteration of proper partial orders of lengthω 2.

For a Polish group let be the minimal number of translates of a fixed closed nowhere dense subset of required to cover . For many locally compact this cardinal is known to be consistently larger than which is the smallest cardinality of a covering of the real line by meagre sets. It is shown that for several non-locally compact groups . For example the equality holds for the group of permutations of the integers, the additive group of a separable Banach (...) space with an unconditional basis and the group of homeomorphisms of various compact spaces. (shrink)