We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We give what is apparently the first feasible proofs of the Cayley–Hamilton theorem and other properties of the determinant, and study the propositional proof complexity of matrix identities such as AB=I→BA=I.

We show that short bounded-depth Frege proofs of matrix identities, such as PQ=I⊃QP=I (over the field of two elements), imply short bounded-depth Frege proofs of the pigeonhole principle. Since the latter principle is known to require exponential-size bounded-depth Frege proofs, it follows that the propositional version of the matrix principle also requires bounded-depth Frege proofs of exponential size.

We investigate the theories of linear algebra, which were originally defined to study the question of whether commutativity of matrix inverses has polysize Frege proofs. We give sentences separating quantified versions of these theories, and define a fragment in which we can interpret a weak theory V 1 of bounded arithmetic and carry out polynomial time reasoning about matrices - for example, we can formalize the Gaussian elimination algorithm. We show that, even if we restrict our language, proves the commutativity (...) of inverses. (shrink)

We prove assorted properties of matrices over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Z}_{2}}$$\end{document}, and outline the complexity of the concepts required to prove these properties. The goal of this line of research is to establish the proof complexity of matrix algebra. It also presents a different approach to linear algebra: one that is formal, consisting in algebraic manipulations according to the axioms of a ring, rather than the traditional semantic approach via linear transformations.

The avocado (Persea americana) is a major crop commodity worldwide. Moreover, avocado, a paleopolyploid, is an evolutionary “outpost” among flowering plants, representing a basal lineage (the magnoliid clade) near the origin of the flowering plants themselves. Following centuries of selective breeding, avocado germplasm has been characterized at the level of microsatellite and RFLP markers. Nonetheless, little is known beyond these general diversity estimates, and much work remains to be done to develop avocado as a major subtropical‐zone crop. Among the goals (...) of avocado improvement are to develop varieties with fruit that will “store” better on the tree, show uniform ripening and have better post‐harvest storage. Avocado transcriptome sequencing, genome mapping and partial genomic sequencing will represent a major step toward the goal of sequencing the entire avocado genome, which is expected to aid in improving avocado varieties and production, as well as understanding the evolution of flowers from non‐flowering seed plants (gymnosperms). Additionally, continued evolutionary and other comparative studies of flower and fruit development in different avocado strains can be accomplished at the gene expression level, including in comparison with avocado relatives, and these should provide important insights into the genetic regulation of fruit development in basal angiosperms. BioEssays 30:386–396, 2008. © 2008 Wiley Periodicals, Inc. (shrink)

By synthesizing evolutionary, attachment, and acoustic perspectives, Soltis has provided an innovative model of infant cry acoustics and parental responsiveness. We question some of his hypotheses, however, because of the limited extant data on infant crying among hunter-gatherers. We also question Soltis' distinction between manipulative and honest signaling based upon recent contributions from attachment theory.

Different concepts of democracy are considered as they reflect deep problems in modem democratic societies such as the lack of participation by citizens, the loss of a sense of community, and excessive individualism. Three models of teaching, the executive, the therapist, and the liberationist, are then explored with regard to what students may learn about being a member of a democratic society when they are treated differently by such teachers. It is argued that while each model has its positive and (...) negative influences, the liberationist approach has the best potential for meeting some of the deficiencies of participatory forms of democratic life. (shrink)

In this article I evaluate recent attempts to illuminate the human infant cry from an evolutionary perspective. Infants are born into an uncertain parenting environment, which can range from indulgent care of offspring to infanticide. Infant cries are in large part adaptations that maintain proximity to and elicit care from caregivers. Although there is not strong evidence for acoustically distinct cry types, infant cries may function as a graded signal. During pain-induced autonomic nervous system arousal, for example, neural input to (...) the vocal cords increases cry pitch. Caregivers may use this acoustic information, together with other cues, to guide caregiving behavior. Serious pathology, on the other hand, results in chronically and severely abnormal cry acoustics. Such abnormal crying may be a proximate cause of adaptive infant maltreatment, in circumstances in which parents cut their losses and reduce or withdraw investment from infants with low survival chances. An increase in the amount of crying during the first few months of life is a human universal, and excessive crying, or colic, represents the upper end of this normal increase. Potential signal functions of excessive crying include manipulation of parents to acquire additional resources, honest signaling of need, and honest signaling of vigor. Current evidence does not strongly support any one of these hypotheses, but the evidence is most consistent with the hypothesis that excessive early infant crying is a signal of vigor that evolved to reduce the risk of a reduction or withdrawal of parental care. Key Words: colic; crying; early infant crying; honest signaling; infanticide; parental care; parent-offspring conflict; separation call; vocalization. (shrink)

According to the received account of guilt in the philosophical literature, one cannot feel guilt unless one takes oneself to have done something morally wrong. But ordinary people feel guilt in many cases in which they do not take themselves to have done anything morally wrong. In this paper, I focus on one kind of guilt without perceived wrongdoing, guilt about being merely causally responsible for a bad state-of-affairs. I go on to present a novel account of guilt that explains (...) guilt about mere causal responsibility, according to which guilt represents part of the self as bound up with what is bad. (shrink)

Features four case studies that include 'Scripted Teaching', 'Accountability and Merit', 'What is the Value of Caring Relationships?' and 'School Funding'. Using these and other realistic case studies, this book explores the strengths and weaknesses of each approach so that teachers can assess their own philosophical positions on teaching.

The fact that Gilbert Ryle and J.L. Austin seem to disagree about the ordinary use of words such as ‘voluntary’, ‘involuntary’, ‘voluntarily’, and ‘involuntarily’ has been taken to cast doubt on the methods of ordinary language philosophy. As Benson Mates puts the worry, ‘if agreement about usage cannot be reached within so restricted a sample as the class of Oxford Professors of Philosophy, what are the prospects when the sample is enlarged?’ (Mates, Inquiry 1:161–171, 1958, p. 165). In this chapter, (...) we evaluate Mates’s criticism alongside Ryle’s and Austin’s specific claims about the ordinary use of these words, assessing these claims against actual examples of ordinary use drawn from the British National Corpus (BNC). Our evaluation consists in applying a combination of methods: first aggregating judgments about a large set of samples drawn from the corpus, and then using a clustering algorithm to uncover connections between different types of use. In applying these methods, we show where and to what extent Ryle’s and Austin’s accounts of the use of the target terms are accurate as well as where they miss important aspects of ordinary use, and we demonstrate the usefulness of this new combination of methods. At the heart of our approach is a commitment to the idea that systematically looking at actual uses of expressions is an essential component of any approach to ordinary language philosophy. (shrink)

What is the relation between small-scale collaborative plans and the execution of those plans within interactive contexts? I argue here that joint attention has a key role in explaining how shared plans and shared intentions are executed in interactive contexts. Within singular action, attention plays the functional role of enabling intentional action to be guided by a prior intention. Within interactive joint action, it is joint attention, I argue, that plays a similar functional role of enabling the agents to act (...) in a collaborative way such that their actions are rationally guided by a prior shared intention. This understanding of joint attention – as having a key functional role of enabling the rational guidance of joint intentional action by a prior shared intention – allows for an alternative understanding of the kind of minimal cooperation that infants can engage in. On this understanding, infants’ capacity to engage in joint actions is already an incipient capacity to engage in rational and intentional joint actions, albeit a capacity that is necessarily scaffolded by an adult rational co-partner. (shrink)

Humanizing education in a democratic society requires an adequate conception of democratic life. Dewey's ideal of a society with free interaction among groups and extensive sharing of interests provides such a vision. His idea of purposing, as a key ingredient in meaningful learning, thought and action, also gives depth to the concept of education in democracy.

This a clear and concise introduction to Danish philosopher Soren Kierkegaard.ichael Watts uses Kierkegaard's own writings to introduce his theoriesbout living a truthfu; and spiritual life, while explaining the enormousnfluence of the philosopher's personal life on his work and beliefs. As theounder of 20th century existentialism, and the first philosopher to definehe idea of angst, Kierkegaard's profound influence on modern life is clearlyefined in accessible terms in this guide for students and general readers.

Post-Traumatic Stress Disorder is a major public health concern in both civilian and military populations, across race, age, gender, and socio-economic status. While PTSD has been around for centuries by some name or another, its definition and description also continue to evolve. Within the last few years, the American Psychological Association has published the 5th edition of the Diagnostic and Statistical Manual of Mental Disorders, which includes some major changes in the diagnostic criteria for PTSD. Recent data on epidemiology, etiological (...) theories, and empirically supported methods of treatment, as well as implications for legal processes and criminal justice system personnel, are discussed. (shrink)

New coverage of the recent wars in Afghanistan and Iraq, and the ensuing public education campaigns by the Department of Veterans Affairs and private veterans advocacy groups combine to call the public's attention to the many potential mental health problems associated with traumatic event exposure. Indeed, since 2001, Operation Iraqi Freedom and Operation Enduring Freedom combat and peacekeeping missions have been characterized by high levels of exposure to acts of extreme violence, with often gruesome effects. Less publically discussed is the (...) fact that a surprisingly large number of United States civilians also report exposure to traumatic events, such as severe interpersonal violence, natural disasters, and serious automobile accidents. In fact, approximately 70% of randomly sampled respondents indicated that they have experienced an incident characterized by significant perceived life threat at some point during their lives. (shrink)

Opponents of medically assisted dying have long appealed to ‘slippery slope’ arguments. One such slippery slope concerns palliative care: that the introduction of medically assisted dying will lead to a diminution in the quality or availability or palliative care for patients near the end of their lives. Empirical evidence from jurisdictions where assisted dying has been practiced for decades, such as Oregon and the Netherlands, indicate that such worries are largely unfounded. The failure of the palliation slope argument is nevertheless (...) instructive with respect to how slippery slope arguments can be appraised without having to await post-facto evidence regarding the effects of a proposed change in public policy. Close attention in particular to the norms operative in a given institution and how changes to policy will interact with those norms enable slippery slopes to be credibly appraised. (shrink)

What is the relation between joint attention and common knowledge? On the one hand, the relation seems tight: the easiest and most reliable way of knowing something in common with another is for you and that other to be attentively aware of what you are together experiencing. On the other hand, they couldn’t seem further apart: joint attention is a mere perceptual phenomena that infants are capable of engaging in from nine months of age, whereas common knowledge is a cognitive (...) phenomenon involving (so it seems) complex, overlapping metarepresentational states that require the kind of sophisticated mindreading skills that developmental psychology has shown to be beyond the capabilities of young children. In 'The Shared World: Perceptual Common Knowledge, Demonstrative Communication, and Shared Social Space', Axel Seemann attempts, inter alia, to makensense of this conundrum. (shrink)

ABSTRACT Different concepts of democracy are considered as they reflect deep problems in modem democratic societies such as the lack of participation by citizens, the loss of a sense of community, and excessive individualism. Three models of teaching, the executive, the therapist, and the liberationist, are then explored with regard to what students may learn about being a member of a democratic society when they are treated differently by such teachers. It is argued that while each model has its positive (...) and negative influences, the liberationist approach has the best potential for meeting some of the deficiencies of participatory forms of democratic life. (shrink)

We ordinarily suppose that there is a difference between having and failing to exercise a rational capacity on the one hand, and lacking a rational capacity altogether on the other. This is crucial for our allocations of responsibility. Someone who has but fails to exercise a capacity is responsible for their failure to exercise their capacity, whereas someone who lacks a capacity altogether is not. However, as Gary Watson pointed out in his seminal essay ’Skepticism about Weakness of Will’, the (...) idea of an unexercised capacity is much more difficult to make sense of than it initially appears. The aim of ’Rational Capacities’ is to provide the needed explication of this idea. (shrink)

The severity of Kazakhstan's ecological problems impels civic activists and state agencies to build public support for ecological rehabilitation in the country, through a comprehensive national programme of environmental education. This paper is a qualitative analysis whose main focus is the relations of civic groups and NGOs with the national government, occurring in the delivery of programmes for environmental education during the post-glasnost era. Provisional successes of civic groups in establishing environmental education programmes, and useful steps by the government to (...) facilitate civic environmental activism, give reasons for optimism for improved environmental governance. (shrink)

W kontekście wielości pojęć osoby i ich znaczenia dla sposobu organizowania przez człowieka życia jednostkowego i społecznego, sprawą kluczową jest zwrot w kierunku realistycznego pojęcia osoby. W niniejszym studium przeprowadzono krytyczną analizę kilku wybranych relacjonalnych koncepcji osoby z pozycji tomizmu egzystencjalnego. W efekcie przeprowadzonej analizy potwierdzono założoną hipotezę, iż wybrane relacjonalne koncepcje osoby mają charakter aprioryczny, jednakże tylko w odniesieniu do istoty osoby. Studium odpowiada na pytanie, dlaczego analizowane koncepcje nie wyjaśniają samej istoty realnej osoby ludzkiej, a tylko wskazują na (...) jej cechy rozpoznawcze, opisując egzystencję i drogi spełniania się osoby. In search of a realistic concept of person In the context of the multiplicity of concepts of the person and their importance for the way in which man organizes his individual and social life, a turn toward a realistic concept of the person is crucial. In this study, a critical analysis of several selected relational concepts of the person from the position of existential Thomism is carried out. As a result of the analysis, the assumed hypothesis was confirmed that the selected relational conceptions of the person are a priori, however, only with regard to the essence of the person. The study answers the question of why the analysed concepts do not explain the very essence of the real human person, but only point to its identifying features, describing the existence and ways of fulfilment of person. (shrink)

The Climate Anxiety Scale is a 13-item questionnaire for assessing climate anxiety as a psychological response to climate change. The CAS consists of two subscales, namely, cognitive impairment and functional impairment. This study aimed to validate the Polish version of the CAS. The sample included 603 respondents, aged 18–70 years. Based on the exploratory factor analysis results, we proposed a 3-factor solution, which seems to be theoretically more consistent with the content of the CAS statements. The confirmatory factor analysis showed (...) that the original 2-factor solution and the 3-factor one had a satisfactory and a good fit to the data, respectively, as well as both were invariant across different gender, age, and educational level categories. Despite the fact that the 3-factor solution had the best-fit indices, we recommended to examine the CAS structure in different samples and use the overall CAS score in cross-cultural research. Cognitive and functional impairment subscales were positively correlated with personal experience of climate change, behavioral engagement, environmental identity, and environmental motives, but they were negatively correlated with climate change denial and sense of safety. The CAS subscales were correlated with depressive symptoms, but contrary to expectations, they were not associated with anxiety symptoms and any cognitive coping strategies. The Polish version of the CAS has satisfactory psychometric properties. Overall, we reported low CA levels in the Polish sample. Women and younger people experienced higher CA. (shrink)

Virtue and the Moral Life brings together distinguished philosophers and theologians with younger scholars of consummate promise to produce ten essays that engage both academics and students of ethics. This collection explores the role virtues play in identifying the good life and the good society.

The problem with authenticity—the idea of being “true to one’s self”—is that its somewhat checkered reputation garners a complete range of favorable and unfavorable reactions. In educational settings, authenticity is lauded as one of the top two traits students desire in their teachers. Yet, authenticity is criticized for its tendency towards narcissism and self-entitlement. So, is authenticity a good or a bad thing? The purpose of this article is to develop an intimate understanding of authenticity by investigating its current interpretation (...) and criticisms, its struggle with narcissism and relation to freedom. Examining authenticity as multilayered self-exploration reveals a composite of understanding, care, and acceptance. While a side current of acceptable tension shifts our understanding of authenticity from the security of self-determination to the messy interplay involved in being “true to one’s self” and being “in-the-world”. (shrink)

Drawing on work of the past decade, this volume brings together articles from the philosophy, history, and sociology of science, and many other branches of the biological sciences. The volume delves into the latest theoretical controversies as well as burning questions of contemporary social importance. The issues considered include the nature of evolutionary theory, biology and ethics, the challenge from religion, and the social implications of biology today (in particular the Human Genome Project).

Our aim in this paper is to present the distinct ways in which Wolff, Baumgarten, and Kant understand the relationship between necessitation, constraint, and reluctant action in an effort to illustrate the subtle ways in which their conceptions of obligation differ from each another. Whereas Wolff conceives of natural or moral obligation as incompatible with constraint, Baumgarten holds that constraint and reluctant action are, in some instances, compatible with natural obligation. Kant departs from Baumgarten by conceiving of obligation as necessarily (...) involving constraint: as Kant’s reply to Schiller’s famous objection reveals, obligation must take on the character of constraint to reluctant action on account of the fact that human beings possess inclinations that always threaten to impel them in directions that oppose morality. (shrink)

Ethical debates about assisted dying typically assume that only medical professionals should be able to provide patients with assisted dying. This assumption partially rests on the unstated principle that assisted dying providers may not be motivated by pecuniary considerations. Here I outline and defend a mixed provider model of assisted dying provision that contests this principle. Under this model, medically competent non-physician professionals could receive fees for providing assisted dying under the same terms and conditions as physicians can in those (...) juris- dictions where medically assisted dying is lawful. The mixed provider model blunts objections to assisted dying rooted in supposed clashes with medical values. In addition to generating a market likely to expand access to assisted dying, the mixed provider model would not create markets that are unjust because they are “noxious” in Satz’ sense or because they raise “semiotic” concerns about the value of human life. (shrink)

The third edition of a work that defines the field of cognitive neuroscience, with extensive new material including new chapters and new contributors.

An Essay on Human Action seeks to provide a comprehensive, detailed, enlightening, and (in its detail) original account of human action. This account presupposes a theory of events as abstract, proposition-like entities, a theory which is given in the first chapter of the book. The core-issues of action-theory are then treated: what acting in general is (a version of the traditional volitional theory is proposed and defended); how actions are to be individuated; how long actions last; what acting intentionally is; (...) what doing one thing by doing another is; what basic action is; and what omitting to do something is. Attention is also given to the concepts of causation, intention, volition, deciding, choosing, and trying. Finally, a libertarian account of free action is tentatively proposed and defended. (shrink)