IntroductionThis study aimed to explore the mental wellbeing profiles and their related factors among urban young adults in Vietnam.MethodsA cross-sectional study was conducted in Hanoi, which is the capital of Vietnam. There were 356 Vietnamese who completed the Mental Health Inventory-5 questionnaire. The Latent Profile Analysis was used to identify the subgroups of mental wellbeing through five items of the MHI-5 scale as the continuous variable. Multinomial logistic regression was used to determine factors related to subgroups.ResultsThree classes represented three levels (...) of MHI-5 score, which included “Poor mental health,” “Fair mental health,” and “Good mental health,” were, respectively, 14.3, 46.6, and 39.0%. Compared to a low household economy, participants with an average household economy had 2.11 and 4.79 times higher odds of being in a good mental health class relative to fair and poor mental health classes. Respondents with more than two acute symptoms had 3.85 times higher odds of being in a good mental health class relative to a poor mental health class, as compared to those without acute symptoms. Regarding the measurement of the Perceived Social Support Scale, people having support from their family had 1.80 and 2.23 times higher odds of being in classes of fair and good mental health relative to the poor mental health class; and participants having friend support also had 1.87 times higher odds of being in a good mental health class compared with the fair mental health class, as the MSPSS score increased by 1 unit. People with Rosenberg’s self-esteem scale increased by 1 score, those who had 1.17, 1.26, and 1.47 times higher odds of being in a good compared to fair mental health class, fair compared to poor mental health class, and good compared to poor mental health class, respectively.ConclusionOur findings were given to promote a new classification method for mental health screening among the general population. The current findings could be used as evidence to develop policies and plans that focus on encouraging early screening for mental health problems among the general young population in the future. (shrink)

Recent history makes clear that the quantum leaps being made in technology are the leading edge of a groundswell of paradigm shifts taking place in science, politics, economics, social institutions, and the expression of cultural values. Indeed it is the simultaneity and interdependence of these changes occurring in every dimension of human experience and endeavor that makes the present so historically distinctive. The essays gathered here give voice to perspectives on the always improvised relationship between technology and cultural values from (...) Africa, the Americas, Asia, Australia, Europe, and the Pacific. Contributors: Syed Muhammad Naquib Al-Attas, Roger T. Ames,Yoko Arisaka, Carl Becker, Francesca Bray, James Buchanan, Arindam Chakrabarti, Frank W. Derringh, Rolf Elberfeld, Charles Ess, Andrew Feenberg, Susantha Goonatilake, H. Jiuan Heng, Peter Hershock, Thomas P. Kasulis, George Khushf, David Farrell Krell, Joel J. Kupperman, William R. LaFleur, Lois Ann Lorentzen, David Loy, Joseph Margolis, Hans-Georg Möller, Robert Cummings Neville, Peimin Ni, Monica Atieno Opole, Kuruvilla Pandikattu SJ, Helen Petrovsky, Ramon Sentmartí, Kristin Shrader-Frechette, Vasanthi Srinivasan, Marietta Stepaniants, Vyacheslav S. Stiopin, Henk ten Have, Paul B.Thompson, Mary Tiles, David B.Wong. (shrink)

Combinatory logic and lambda-conversion were originally devised in the 1920s for investigating the foundations of mathematics using the basic concept of 'operation' instead of 'set'. They have now developed into linguistic tools, useful in several branches of logic and computer science, especially in the study of programming languages. These notes form a simple introduction to the two topics, suitable for a reader who has no previous knowledge of combinatory logic, but has taken an undergraduate course in predicate calculus and recursive (...) functions. The key ideas and basic results are presented, as well as a number of more specialised topics, and man), exercises are included to provide manipulative practice. (shrink)

The ArgumentL. E. J. Brouwer and David Hubert, two titans of twentieth-century mathematics, clashed dramatically in the 1920s. Though they were both Kantian constructivists, their notoriousGrundlagenstreitcentered on sharp differences about the foundations of mathematics: Brouwer was prepared to revise the content and methods of mathematics (his “Intuitionism” did just that radically), while Hilbert's Program was designed to preserve and constructively secure all of classical mathematics.Hilbert's interests and polemics at the time led to at least three misconstruals of intuitionism, misconstruals which (...) last to our own time: Current literature often portrays popular views of intuitionism as the product of Brouwer's idiosyncratic subjectivism; modern logicians view intuitionism as simply applying a non-standard formal logic to mathematics; and contemporary philosophers see that logic as based upon a pure assertabilist theory of meaning. These pictures stem from the way Hilbert structured the controversy.Even though Brouwer's own work and behavior occasionally reinforce these pictures, they are nevertheless inaccurate accounts of his approach to mathematics. However, the framework provided by the Brouwer-Hilbert debate itself does not supply an adequate correction of these inaccuracies. For, even if we eliminate these mistakes within that framework, Brouwer's position would still appear fragmented and internally inconsistent. I propose a Kantian framework — not from Kant's philosophy of mathematics but from his general metaphysics — which does show the coherence and consistency of Brouwer's views. I also suggest that expanding the context of the controversy in this way will illuminate Hilbert's views as well and will even shed light upon Kant's philosophy. (shrink)

It is argued that the tensed theory of the creative subject provides a natural formulation of the logic underlying Brouwer's notion of unextendable order and explains the link between that notion and virtual order. The tensed theory of the creative subject is also shown to be a useful tool for interpreting recent evidence about the stages of Brouwer's thinking concerning these two notions of order.

Introduction Combinatory logic deals with a class of formal systems designed for studying certain primitive ways in which functions can be combined to form ...

MICHAEL DUMMETT, Elements of intuitionism. With the assistance of Robert Minio. Oxford: Oxford University Press, 1977. xii + 466 pp. No price stated.

Though my title speaks of Kant’s mathematical realism, I want in this essay to explore Kant’s relation to a famous mathematical anti-realist. Specifically, I want to discuss Kant’s influence on L. E. J. Brouwer, the 20th-century Dutch mathematician who built a contemporary philosophy of mathematics on constructivist themes which were quite explicitly Kantian. Brouwer’s theory is perhaps most notable for its belief that constructivism requires us to abandon the traditional logic of mathematical reasoning in favor of different canon of reasoning, (...) called intuitionistic logic. Brouwer thought that classical logic is intrinsically bound up with a nonconstructive view of mathematics. This means that, according to Brouwer, when we do mathematics we must give up bivalence, we must no longer use such familiar logical laws as excluded middle, and we must sometimes forebear from the classic method of reductio ad absurdum. All of these are intuitionistically invalid classical principles. (shrink)

Kant's views about mathematics were controversial in his own time, and they have inspired or infuriated thinkers ever since. Though specific Kantian doctrines fell into disrepute earlier in this century, the past twenty-five years have seen a surge of interest in and respect for Kant's philosophy of mathematics among both Kant scholars and philosophers of mathematics. The present volume includes the classic papers from the 1960s and 1970s which spared this renaissance of interest, together with updated postscripts by their authors. (...) It also includes the most important recent work on Kant's philosophy of mathematics. The essays bring to bear a wealth of detailed Kantian scholarship, together with powerful new interpretative tools drawn from modern mathematics, logic and philosophy. The cumulative effect of this collection upon the reader will be a deeper understanding of the centrality of mathematics in all aspects of Kant's thought and a renewed respect for the power of Kant's thinking about mathematics. The essays contained in this volume will set the agenda for further work on Kant's philosophy of mathematics for some time to come. (shrink)

“It has been our fate as a nation not to have ideologies,” Richard Hofstadter famously wrote, “but to be one.” Defining that “American ideology” or “American creed” obsessed scholars of the consensus era, who celebrated Americans’ allegiance to a limited liberal vocabulary of rights, freedoms, and markets. The cultural transformations begun in the 1960s seemed to question the very idea of a unitary culture or creed, but some historians responded by exploring alternative ideological founding myths to the liberal consensus. Over (...) the ensuing decades scholars mounted formidable efforts to support republicanism or millennial Christianity as challengers, but liberalism proved a resilient foe. And it seemed to have contemporary history on its side: during the Reagan revolution of the century's final decades the classic liberal combination of scaled-down government and free markets carried the day as Americans’ ideal if not their reality. The Lockean liberal tradition that Louis Hartz described a half-century earlier still appeared the only game in town, although scholars continued to argue over its terms, history, and boundaries. (shrink)

L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation (...) for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth. (shrink)

Zhuangzi and Henry David Thoreau share a critical interest in the relations between wandering, nature, and experience. Their attitudes toward nature provide a basis for their views of human well-being, which in turn inform their attitudes toward language, society, and politics. Both celebrate nature as a source of constant novelty, change, and nourishing life. These values clash against social conformity and political homogeneity. For both Zhuangzi and Thoreau, how we experience life is already constitutive of human well-being. Wandering thus provides (...) a unique vision of freedom, one that binds experience, nature, and social-political criticism. (shrink)

IPC, the intuitionistic predicate calculus, has the property(i) Vc(A c /x) xA.Furthermore, for certain important , IPC has the converse property (ii) xA Vc(A c /x). (i) may be given up in various ways, corresponding to different philosophic intuitions and yielding different systems of intuitionistic free logic. The present paper proves the strong completeness of several of these with respect to Kripke style semantics. It also shows that giving up (i) need not force us to abandon the analogue of (ii).

The late 1960s saw the emergence of new philosophical interest in Kant's philosophy of mathematics, and since then this interest has developed into a major and dynamic field of study. In this state-of-the-art survey of contemporary scholarship on Kant's mathematical thinking, Carl Posy and Ofra Rechter gather leading authors who approach it from multiple perspectives, engaging with topics including geometry, arithmetic, logic, and metaphysics. Their essays offer fine-grained analysis of Kant's philosophy of mathematics in the context of his Critical (...) philosophy, and also show sensitivity to its historical background. The volume will be important for readers seeking a comprehensive picture of the current scholarship about the development of Kant's philosophy of mathematics, its place in his overall philosophy, and the Kantian themes that influenced mathematics and its philosophy after Kant. (shrink)

The Battle for the American Mind brings together religion, politics, economics, science, and literature to present a compelling history of the American people. In this brief and entertaining book, noted historian Carl J. Richard argues that there have been three worldviews that have dominated American thought—theism, humanism, and skepticism. By clearly explaining what Americans believed, exploring why they did so, and showing how that impacted the nation's development, Richard presents a unique portrait of the United States—past and present.

Traditional outcome-orientated egalitarian principles require access to information about the size of individual holdings. Recent egalitarian political theory has sought to accommodate considerations of responsibility. Such a move may seem problematic, in that a new informational burden is thereby introduced, with no apparent decrease in the existing burden. This article uses a simple model with simulated data to examine the extent to which outcome egalitarianism and responsibility-sensitive egalitarianism (‘luck egalitarianism’) can be accurately applied where information is incomplete or erroneous. It (...) is found that, while outcome egalitarianism tends to be more accurately applied, its advantage is not overwhelming, and in many prima facie plausible circumstances luck egalitarianism would be more accurately applied. This suggests that luck egalitarianism cannot be rejected as utopian. Furthermore, while some argue that, in practice, luck egalitarianism is best realized indirectly, by securing equality of outcome, our evidence suggests that a luck egalitarian rule of regulation offers a far more accurate implementation of the luck egalitarian ideal than does an outcome egalitarian rule of regulation. (shrink)

Benacerraf’s Problem about mathematical truth displays a tension, indeed a seemingly unbridgeable gap, between Platonist foundations for mathematics on the one hand and Hilbert’s ‘finitary standpoint’ on the other. While that standpoint evinces an admirable philosophical unity, it is ultimately an effete rival to Platonism: It leaves mathematical practice untouched, even the highly non-constructive axiom of choice. Brouwer’s intuitionism is a more potent finitist rival, for it engenders significant deviation from standard (classical) mathematics. The essay illustrates three sorts of intuitionistic (...) deviations (weakening, refinement and outright contradiction), and goes on to sketch the technical tools and arguments that engender those clashes with classical mathematics and the philosophical principles underlying those arguments. Those philosophical principles coalesce into a “standpoint” no less unified and no less finitary that Hilbert’s. This intuitionistic standpoint is sufficiently detailed that it itself provides a benchmark for comparing all the rival positions; and it is sufficiently robust that it dissolves the Benacerrafian dichotomy. However, the intuitionistic refutation of the axiom of choice reveals two distinct sub-streams within that intuitionistic standpoint. Distinguishing these streams suggests perhaps that in spite of that robustness, intuitionism has an internal dichotomy parallel to the Benacerrafian split. The Benacerrafian split is a crack in the foundations of mathematics. But I shall argue that this internal intuitionistic dichotomy is not at all a foundational gap; it is rather a special insight about the nature of mathematical thought. (shrink)