This dissertation is a collection of three papers – “Knowing Oneself for Others,” “Stereotype Threat and the Value of Self-Knowledge,” and “Self-Knowledge, Epistemic Work, and Injustice” – in which I address the connections between self-knowledge production and social inequality. I explain, using a variety of contemporary political and cultural examples, that marginalized individuals are more likely to be required to know certain things about themselves than socially privileged individuals, especially about those aspects of their lives and identities which are essential (...) to their being marginalized. I argue that this should make us rethink our basic understanding of epistemic injustice, which is typically thought of as involving the prevention of marginalized individuals from producing knowledge. More specifically, in “Knowing Oneself for Others,” I introduce the notion of “compulsory self-disclosure,” a social phenomenon in which an individual is forced to reveal things about themselves, often in ways that further contribute to their oppression. “Stereotype Threat and the Value of Self-Knowledge” addresses how self-ignorance can actually be desirable for individuals facing stereotype threat, and I argue that treating stereotype threat as an epistemic injustice issue can actually harm rather than help individuals in certain cases. Finally, in “Self-Knowledge, Epistemic Work, and Injustice,” I assess the reasoning behind the assumption that marginalized people are self-ignorant; I argue that we need to appreciate the central role that epistemic work plays in self-knowledge production to understand why the standard assumption about marginalized self-ignorance is misguided. Ultimately, I would have us think of self-knowledge production as not just epistemic work but as work that is often emotionally difficult and even metaphysically transformative – coming to have self-knowledge in certain ways can quite literally change who you are. In light of this, the overarching aim of this work is to argue for there being an inextricable link between an individual’s knowledge of themselves and their social status, as well as to discourage readers from thinking of the production of self-knowledge as inherently desirable or as a wholly epistemic issue. (shrink)

To generate empathy in the care of vulnerable older persons requires care providers to reflect critically on their care practices. Ethics education and training must provide them with tools to accomplish such critical reflection. It must also create a pedagogical context in which good care can be taught and cultivated. The care-ethics lab ‘sTimul’ originated in 2008 in Flanders with the stimulation of ethical reflection in care providers and care providers in training as its main goal. Also in 2008, sTimul (...) commenced the organization of empathy sessions as an attempt to achieve this goal by simulation. The empathy session is a practical and fairly straightforward way of working to provoke care providers and care providers in training to engage in ethical reflection. Characteristic of the empathy session in the care-ethics lab is the emphasis on experience as a basis for ethical reflection. (shrink)

Words like well, oh, and you know have long been observed and studied in spontaneous speech. With the proliferation of on-line dialogues, such as instant messaging between friends or back-and-forth postings at websites, there are increasing opportunities to observe them in spontaneous writing. In Experiment 1, the interpretation of discourse markers in on-line debates was compared to proposed functions of those markers identified in other settings. In Experiment 2, the use of discourse markers in spontaneous speech was compared to their (...) uses in spontaneous writing. Results support the conclusion that although they vary in frequency in spoken versus written domains, discourse markers are used similarly across domains, but with particular communicative functions that make them non-interchangeable. (shrink)

Observing others in conversation is a common format for comprehending language, yet little work has been done to understand dialog comprehension. We tested whether overhearers use addressee backchannels as predictive cues for how to integrate information across speaker turns during comprehension of spontaneously produced collaborative narration. In Experiment 1, words that followed specific backchannels were recognized more slowly than words that followed either generic backchannels or pauses. In Experiment 2, we found that when the turn after the backchannel was a (...) continuation of the narrative, specific backchannels prompted the fastest verification of prior information. When the turn after was an elaboration, they prompted the slowest, indicating that overhearers took specific backchannels as cues to integrate preceding talk with subsequent talk. These findings demonstrate that overhearers capitalize on the predictive relationship between backchannels and the development of speakers’ talk, coordinating information across conversational roles. (shrink)

There has been little previous scholarship regarding the aims, options and impact of ethics education on residential care‐givers. This manuscript details findings from a pragmatic cluster trial evaluating the impact of three different approaches to ethics education. The focus of the article is on one of the interventions, an immersive simulation experience. The simulation experience required residential care‐givers to assume the profile of elderly care‐recipients for a 24‐hr period. The care‐givers were student nurses. The project was reviewed favourably by a (...) university ethics committee, and participants provided informed consent. Data from six postsimulation experience focus groups were analysed thematically and three themes were identified: the experience of vulnerability, dignity in care and the organisation of care. Findings suggest that the immersive simulation experience had a powerful immediate impact as participants described epiphanous insights relating to their care experiences. It is suggested that reflecting on and recording epiphanous events has the potential to sustain ethical care practices. Further research is required to evaluate the impact of different ethics education interventions in different cultural contexts. Exploration is also required regarding the meaning and significance of care epiphanies, those “most delicate and evanescent of moments,” for the sustainability of ethical care. (shrink)

This article discusses ways to operationalise the concept of culturally appropriate computer-mediated communication, utilising information systems (IS) development methodologies and adopting a postmodern and postcolonial perspective. By way of illustration, it describes progress on the participative development of the Ieramugadu Cultural Information System. This project is designed to develop and evaluate innovative procedures for elicitation, analysis, storage and communication of indigenous cultural heritage information. It is investigating culturally appropriate IS design techniques, multimedia approaches and ways to ensure protection of secret/sacred (...) information. Ethical issues are foregrounded. (shrink)

Brackets and tables, circles and maps, 1554-1872 -- Early botanical networks and trees, 1766-1815 -- The first evolutionary tree, 1786-1820 -- Diverse and unusual trees of the early nineteenth century, 1817-1834 -- The rule of five, 1819-1854 -- Pre-Darwinian branching diagrams, 1828-1858 -- Evolution and the trees of Charles Darwin, 1837-1868 -- The trees of Ernst Haeckel, 1866-1905 -- Post-Darwinian nonconformists, 1868-1896 -- More late-nineteenth-century trees, 1874-1897 -- Trees of the early twentieth century, 1901-1930 -- The trees of Alfred (...) Sherwood Romer, 1933-1966 -- Additional trees of the mid-twentieth century, 1931-1943 -- The trees of William King Gregory, 1938-1951 -- Hints of new approaches, 1954-1969 -- Phenograms and cladograms, 1958-1966 -- Early molecular trees, 1962-1987 -- Notable trees of the past four decades, 1970-2010 -- Primeval branches and universal trees of life, 1997-2010. (shrink)

The tree property at κ+ states that there are no Aronszajn trees on κ+, or, equivalently, that every κ+ tree has a cofinal branch. For singular strong limit cardinals κ, there is tension between the tree property at κ+ and failure of the singular cardinal hypothesis at κ; the former is typically the result of the presence of strongly compact cardinals in the background, and the latter is impossible above strongly compacts. In this paper, we reconcile the (...) two. We prove from large cardinals that the tree property at κ+ is consistent with failure of the singular cardinal hypothesis at κ. (shrink)

"Knowing how we know" is the subject of this book. Its authors present a new view of cognition that has important social and ethical implications, for, they assert, the only world we humans can have is the one we create together through the actions of our coexistence. Written for a general audience as well as for students, scholars, and scientists and abundantly illustrated with examples from biology, linguistics, and new social and cultural phenomena, this revised edition includes a new afterword (...) by Dr. Varela, in which he discusses the effect the book has had in the years since its first publication. (shrink)

From large cardinals we obtain the consistency of the existence of a singular cardinal κ of cofinality ω at which the Singular Cardinals Hypothesis fails, there is a bad scale at κ and κ ++ has the tree property. In particular this model has no special κ +-trees.

Assuming the existence of a supercompact cardinal and a weakly compact cardinal above it, we provide a generic extension where there are no Aronszajn trees of height ω 2 or ω 3 . On the other hand we show that some large cardinal assumptions are necessary for such a consistency result.

It has sometimes been suggested that people represent the structure of action in terms of an action tree. A question now arises about the relationship between this action tree representation and people’s moral judgments. A natural hypothesis would be that people first construct a representation of the action tree and then go on to use this representation in making moral judgments. The present paper argues for a more complex view. Specifically, the paper reports a series of experimental (...) studies that appear to show that people’s moral judgments can actually impact their representations of the action tree itself. (shrink)

The importance of the Tree of Life when looked at from its negative side will give the reader new perspective of the spiritual path. Ignorance of universal law can mean that when you think you are doing "good", you may actually be doing "evil". Consciousness is the key. This is an important book for students on any path.

The chapter talks about Shel Silverstein's The Giving Tree, which is a favorite of many children, adults, and teachers. The story of a relationship between a boy and a tree is charming for, despite the vicissitudes of the relationship, the two end up together at the end, with the boy — now an old man — sitting contentedly on the tree — itself reduced to a mere stump. The book raises an important issue in the field of (...) environmental ethics. It asks us to recognize that between childhood and old age, people operating within the Western tradition of ethics are not mindful of the value that the non‐human beings in their environment have for them as well as for future generations. Harkening to such warnings, environmental ethicists have attempted to raise important issues about our relationship with the other beings that make up our world. (shrink)

Originally published in 1972, Should Trees Have Standing? was a rallying point for the then burgeoning environmental movement, launching a worldwide debate on the basic nature of legal rights that reached the U.S. Supreme Court. Now, in the 35th anniversary edition of this remarkably influential book, Christopher D. Stone updates his original thesis and explores the impact his ideas have had on the courts, the academy, and society as a whole. At the heart of the book is an eminently sensible, (...) legally sound, and compelling argument that the environment should be granted legal rights. For the new edition, Stone explores a variety of recent cases and current events--and related topics such as climate change and protecting the oceans--providing a thoughtful survey of the past and an insightful glimpse at the future of the environmental movement. This enduring work continues to serve as the definitive statement as to why trees, oceans, animals, and the environment as a whole should be bestowed with legal rights, so that the voiceless elements in nature are protected for future generations. (shrink)

Assuming some large cardinals, a model of ZFC is obtained in which $\aleph_{\omega+1}$ carries no Aronszajn trees. It is also shown that if $\lambda$ is a singular limit of strongly compact cardinals, then $\lambda^+$ carries no Aronszajn trees.

We introduce insertion domains that support the placement of new, higher, vertices into finite trees. We prove that every nonincreasing insertion domain has an element with simple structural properties in the style of classical Ramsey theory. This result is proved using standard large cardinal axioms that go well beyond the usual axioms for mathematics. We also establish that this result cannot be proved without these large cardinal axioms. We also introduce insertion rules that specify the placement of new, higher, vertices (...) into finite trees. We prove that every insertion rule greedily generates a tree with these same structural properties; and every decreasing insertion rule generates (or admits) a tree with these same structural properties. It is also necessary and sufficient to use the same large cardinals (in the precise sense of Corollary D.25). The results suggest new areas of research in discrete mathematics called "Ramsey tree theory" and "greedy Ramsey theory" which demonstrably require more than the usual axioms for mathematics. (shrink)

Abstract: Biology continues to use the Tree of Life image to show the temporal continuity and discontinuity of the living beings. Moreover, the development of genetic, molecular biology and paleontology has originated phylogenetics. This discipline studies evolutionary relatedness among various groups of organisms through molecular sequencing data and morphological data matrices. The Tree offers interesting points for semiotic perspectives and for theological approaches too. The symbolic reading of the Tree of Life, on the one hand, and the (...) analogies with the Biblical genealogies and some Christian images, on the other hand, will be explored. -/- . (shrink)

The canonical view of a 3‐domain (3D) tree of life was recently challenged by the discovery of Asgardarchaeota encoding eukaryote signature proteins (ESPs), which were treated as missing links of a 2‐domain (2D) tree. Here we revisit the debate. We discuss methodological limitations of building trees with alignment‐dependent approaches, which often fail to satisfactorily address the problem of ‘‘gaps.’’ In addition, most phylogenies are reconstructed unrooted, neglecting the power of direct rooting methods. Alignment‐free methodologies lift most difficulties but (...) require employing realistic evolutionary models. We argue that the discoveries of Asgards and ESPs, by themselves, do not rule out the 3D tree, which is strongly supported by comparative and evolutionary genomic analyses and vast genomic and biochemical superkingdom distinctions. Given uncertainties of retrodiction and interpretation difficulties, we conclude that the 3D view has not been falsified but instead has been strengthened by genomic analyses. In turn, the objections to the 2D model have not been lifted. The debate remains open. Also see the video abstract here: https://youtu.be/-6TBN0bubI8. (shrink)

Game trees (or extensive-form games) were first defined by von Neumann and Morgenstern in 1944. In this paper we examine the use of game trees for representing Bayesian decision problems. We propose a method for solving game trees using local computation. This method is a special case of a method due to Wilson for computing equilibria in 2-person games. Game trees differ from decision trees in the representations of information constraints and uncertainty. We compare the game tree representation and (...) solution technique with other techniques for decision analysis such as decision trees, influence diagrams, and valuation networks. (shrink)

We show that strongly compact cardinals and MM are sensitive to $\lambda$-closed forcings for arbitrarily large $\lambda$. This is done by adding ‘regressive' $\lambda$-Kurepa trees in either case. We argue that the destruction of regressive Kurepa trees requires a non-standard application of MM. As a corollary, we find a consistent example of an $\omega_2$-closed poset that is not forcing equivalent to any $\omega_2$-directed-closed poset.

The typical rules for truth-trees for first-order logic without functions can fail to generate finite branches for formulas that have finite models–the rule set fails to have the finite tree property. In 1984 Boolos showed that a new rule set proposed by Burgess does have this property. In this paper we address a similar problem with the typical rule set for first-order logic with identity and functions, proposing a new rule set that does have the finite tree property.

Our aim here is to lay the groundwork for formal tree-ring analysis combining data from dendrochronology with formal techniques from semantics. We will present the basic syntax of, and basic compositional semantics of tree-ring structures.

"The Natural System" is the name given to the underlying arrangement present in the diversity of life. Unlike a classification, which is made up of classes and members, a system or arrangement is an integrated whole made up of connected parts. In the pre-evolutionary period a variety of forms were proposed for the Natural System, including maps, circles, stars, and abstract multidimensional objects. The trees sketched by Darwin in the 1830s should probably be considered the first genuine evolutionary diagrams of (...) the Natural System—the first genuine evolutionary trees. Darwin refined his image of the Natural System in the well-known evolutionary tree published in the Origin of Species, where he also carefully distinguished between arrangements and classifications. Following the publication of the Origin, there was a great burst of evolutionary tree building, but interest in trees declined substantially after 1900, only to be revived in recent years with the development of cladistic analysis. ¶ While evolutionary trees are modern diagrams of the Natural System, they are at the same time instances of another broad class of diagrams that may be called "trees of history": branching diagrams of genealogical descent and change. During the same years that Darwin was sketching his first evolutionary trees, the earliest examples of two other trees of history also appeared: the first trees of language evolution and of manuscript genealogy. Though these were apparently independent of evolutionary trees in their origin, the similarities among all these trees of history, and among the historical processes that underlie them, were soon recognized. Darwin compared biological evolution and language evolution several times in the Origin of Species, and both Ernst Haeckel and the linguist August Schleicher made similar comparisons. Both linguists and stemmaticists (students of manuscript descent) understood the principle of apomorphy—the principle that only shared innovations provide evidence of common ancestry—more clearly than did systematists, and if there had been more cross-fertilization among these fields the cladistic revolution in systematics might well have taken place in the nineteenth century. ¶ Although historical linguists and stemmaticists have in some respects had sounder theory than have systematists, at least until recently, they have also had the practical problem of very large amounts of data, a problem not often faced by systematists until the advent of molecular sequencing. The opportunity now exists for systematists to contribute to the theory and practice of linguistics and stemmatics, their sister disciplines in historical reconstruction, through application of our commonly used computer programs for tree estimation. Preliminary results from the application of numerical cladistic analysis to a large stemmatic data set have been very encouraging, and have already generated much discussion in the stemmatics community. (shrink)

We show that it is not possible to extend the ranking of one-stage lotteries based on their weak-expectation to a reflexive and transitive relation on the collection of one- and two-stage lotteries that satisfies two basic axioms, the minimal value axiom and the reduction axiom. We propose an extension that satisfies only the first axiom. This ranking takes payoffs, their probabilities, and the tree structure into account.

This paper delves into the intricate connections between the Abrahamic religions and the ancient mystery cults, reaching as far back as to Neolithic shamanism. They all unite in a shared pursuit: the quest for divine knowledge. Long before the Tree of Knowledge of Good and Evil in the biblical Genesis took on its profound symbolic meaning, shamanic initiation held a distinctly different view of botany. Indeed, It regarded plants primarily for their psychedelic properties, as a medium to perceive “reality” (...) with heightened intensity. However, the sacred Tree has a uniquely numinous character, and their consumption is sternly prohibited by God, in both, the Bible and the Quran. Therefore, this effectively positions all monotheistic religions in an unequivocal distance from their prehistoric origins. More precisely, we can argue that these mythologies are in fact constructed as counternarratives, advocating, primarily for a social ethic (based on the holy writings of the Bible), and evoking secondly a fundamental gnostic quest. (shrink)

Given a regular cardinal λ and λ many supercompact cardinals, we describe a type of forcing such that in the generic extension there is a cardinal κ with cofinality λ, the Singular Cardinal Hypothesis at κ fails, and the tree property holds at κ+.

Elementary first-order theories of trees allowing at most, exactly $\mathrm{m}$, and any finite number of immediate descendants are introduced and proved mutually interpretable among themselves and with Robinson arithmetic, Adjunctive Set Theory with Extensionality and other well-known weak theories of numbers, sets, and strings.

Evolutionary and organismal biology have become inundated with data. At the same rate, we are experiencing a surge in broader evolutionary and ecological syntheses for which tree-thinking is the staple for a variety of post-tree analyses. To fully take advantage of this wealth of data to discover and understand large-scale evolutionary and ecological patterns, computational data integration, i.e., the use of machines to link data at large scale, is crucial. The most common shared entity by which evolutionary and (...) ecological data need to be linked is the taxon to which they belong. We propose a set of requirements that a system for defining such taxa should meet for computational data science: taxon definitions should maintain conceptual consistency, be reproducible via a known algorithm, be computationally automatable, and be applicable across the Tree of Life. We argue that Linnaean names, the most prevalent means of linking data to taxa, fail to meet these requirements due to fundamental theoretical and practical shortfalls. We argue that for the purposes of data-integration we should instead use phylogenetic definitions transformed into formal logic expressions. We call such expressions “phyloreferences”, and argue that, unlike Linnaean names, they meet all requirements for effective data-integration. (shrink)

We develop cut-free calculi of sequents for normal modal logics by using treesequents, which are trees of sequences of formulas. We introduce modal operators corresponding to the ways we move formulas along the branches of such trees, only considering fixed distance movements. Finally, we exhibit syntactic cut-elimination theorems for all the main normal modal logics.

Previous examinations of the scope of moral concern have focused on aggregate attributions of moral worth. However, because trade‐offs exist in valuing different kinds of entities, tabulating total amounts of moral expansiveness may conceal significant individual differences in the relative proportions of moral valuation ascribed to various entities. We hypothesized that some individuals (“tree‐huggers”) would ascribe greater moral worth to animals and ecosystems than to humans from marginalized or stigmatized groups, while others (“human‐lovers”) would ascribe greater moral worth to (...) outgroup members than to the natural world. Additionally, because moral valuation is often treated as being zero‐sum, we hypothesized that there would be no difference in aggregate levels of moral concern between tree‐huggers and human‐lovers. Finally, because attributions of mental capacities substantially contribute to moral valuation, we predicted that tree‐huggers and human‐lovers would show different patterns of mind attribution for animals versus humans. Three studies (N = 985) yielded evidence in support of our hypotheses. First, over one‐third of participants valued nature over outgroups. Second, extending moral value to animals and nature was not indicative of more expansive moral concern overall; instead, tree‐huggers and human‐lovers were identical in their aggregate ascriptions of moral worth. Third, tree‐huggers had relatively amplified tendencies to attribute mental capacities to animals and relatively reduced tendencies to attribute mental capacities to outgroup members—thus having elevated rates of both anthropomorphism and dehumanization. These findings necessitate a reconceptualization of both the extension of moral worth and the attribution of minds. (shrink)

BackgroundGenealogical research and ancestry testing are popular recreational activities but little is known about the impact of the use of these services on clients’ biological and social families. Ancestry databases are being enriched with self-reported data and data from deoxyribonucleic acid analyses, but also are being linked to other direct-to-consumer genetic testing and research databases. As both family history data and DNA can provide information on more than just the individual, we asked whether companies, as a part of the consent (...) process, were informing clients, and through them clients’ relatives, of the potential implications of the use and linkage of their personal data.MethodsWe used content analysis to analyse publically-available consent and informational materials provided to potential clients of ancestry and direct-to-consumer genetic testing companies to determine what consent is required, what risks associated with participation were highlighted, and whether the consent or notification of third parties was suggested or required.ResultsWe identified four categories of companies providing: 1) services based only on self-reported data, such as personal or family history; 2) services based only on DNA provided by the client; 3) services using both; and 4) services using both that also have a research component. The amount of information provided on the potential issues varied significantly across the categories of companies. ‘Traditional’ ancestry companies showed the greatest awareness of the implications for family members, while companies only asking for DNA focused solely on the client. While in some cases companies included text recommending clients inform their relatives, showing they recognised the issues, often it was located within lengthy terms and conditions or privacy statements that may not be read by potential clients.ConclusionsWe recommend that companies should make it clearer that clients should inform third parties about their plans to participate, that third parties’ data will be provided to companies, and that that data will be linked to other databases, thus raising privacy and issues on use of data. We also suggest investigating whether a ‘generational consent’ should be created that would include more than just the individual in decisions about participating in genetic investigations. (shrink)

For a tree T of its height equal to or less than ω1, we construct a space XT by attaching a circle to each node and connecting each node to its successors by intervals. is the Hawaiian earring and H1T denotes a canonical factor of the first integral singular homology group. The following equivalences hold for an ω1-tree T: π1 is embeddable into π1, if and only if is embeddable into H1T, if and only if T is not (...) an Aronzajn tree. π1 is embeddable into if and only if H1T is embeddable into if and only if T is a special Aronzajn tree. π1 has a retract isomorphic to an uncountable free group, if and only if H1T has a summand isomorphic to an uncountable free abelian group, if and only if T has an uncountable anti-chain. (shrink)

We study the first-order theories of some natural and important classes of coloured trees, including the four classes of trees whose paths have the order type respectively of the natural numbers, the integers, the rationals, and the reals. We develop a technique for approximating a tree as a suitably coloured linear order. We then present the first-order theories of certain classes of coloured linear orders and use them, along with the approximating technique, to establish complete axiomatisations of the four (...) classes of trees mentioned above. (shrink)

The article examines the interpretation of the Scripture in Byzantine hymnography during the Great Lent. Some notable recent contributions focus on Andrew of Crete's and Romanos the Melodist's compositions, illustrating the hymnographic way of understanding the Scriptures. The author of this study presents a selection of stanzas from hymns of the Triodion that refer to the trees of Paradise. Hymnography perceives the trees in Genesis 2-3 in direct connection with the cross. Only rarely is the tree of life a (...) metaphor for Jesus, as the shadow of the tree of the cross is seldom a metaphor for protection. Another interesting aspect in relation to hymnography is the fact that it represents a type of intertextual exegesis of biblical texts. Hymnographers interpret passages from Genesis by using texts from Psalms, Prophets and especially from the New Testament, combining images and biblical texts in the depiction of liturgical moments. CONTRIBUTION: Compared with previous research, this article discusses some rare hymnographic interpretations. The analysis accentuates that the hymnic approach to the Scripture is a form of intertextual exegesis. (shrink)

Consider the existence of six identical trees of the same species across a variety of environments. The first tree is in a wild and isolated landscape. The second is in a wilderness park. The third is in a heavily forested “tree plantation” owned by International Paper. The fourth is in the Ramble in Central Park. The fifth is in a suburban yard. The sixth is inside the six-story atrium of a Manhattan skyscraper. This paper begins with the intuition (...) that the identical trees have different values because they exist in different environments and biological-social contexts. To understand the different evaluations of the trees we must think along a spectrum that incorporates both axiology and ontology. This thought experiment is useful in exploring arguments about both the management and the preservation of the natural world. The conclusion is that we must think along a spectrum of natural being and value to understand the dualism between humanity and nature and thereby avoid the domination of the natural environment. (shrink)

Makkai [10] produced an arithmetical structure of Scott rank $\omega _{1}^{\mathit{CK}}$. In [9]. Makkai's example is made computable. Here we show that there are computable trees of Scott rank $\omega _{1}^{\mathit{CK}}$. We introduce a notion of "rank homogeneity". In rank homogeneous trees, orbits of tuples can be understood relatively easily. By using these trees, we avoid the need to pass to the more complicated "group trees" of [10] and [9]. Using the same kind of trees, we obtain one of rank (...) $\omega _{1}^{\mathit{CK}}$ that is "strongly computably approximable". We also develop some technology that may yield further results of this kind. (shrink)

138 titles across a wide range of scholarly publications illustrate the conceptual affinities that connect the palaetiological sciences of biological systematics, historical linguistics, and stemmatics. These three fields all have as their central objective the reconstruction of evolutionary "trees of history" that depict phylogenetic patterns of descent with modification among species, languages, and manuscripts. All three fields flourished in the nineteenth century, underwent parallel periods of quiescence in the early twentieth century, and in recent decades have seen widespread parallel revivals. (...) "Tree thinking" (O'Hara, 1988) is now standard within evolutionary biology, and the unity of what William Whewell called palaetiology is being once again appreciated by scholars and scientists in many fields. (shrink)

The objective of this study is to propose a new operation method based on the universal grey number to overcome the shortcomings of typical interval operation in solving system fault trees. First, the failure probability ranges of the bottom events are described according to the conversion rules between the interval number and universal grey number. A more accurate system reliability calculation is then obtained based on the logical relationship between the AND gates and OR gates of a fault tree (...) and universal grey number arithmetic. Then, considering an aircraft landing gear retraction system as an example, the failure probability range of the top event is obtained through universal grey operation. Next, the reliability of the aircraft landing gear retraction system is evaluated despite insufficient statistical information describing failures. The example demonstrates that the proposed method provides many advantages in resolving the system reliability problem despite poor information, yielding benefits for the function of the interval operation, and overcoming the drawback of solution interval enlargement under different orders of interval operation. (shrink)

The tense tree method extends Jeffrey’s well-known formulation of classical propositional logic to tense logic (Jeffrey 1991).1 Tense trees combine pure tense logic with features of Prior’s U-calculi (where ‘U’ is the earlier-than relation; see Prior 1967 and the Introduction to this volume). The tree method has a number of virtues: trees are well suited to computational applications; semantically, the tree systems presented here are no less illuminating than model theory; the metatheory associated with tree formulations (...) is often more tractable than that required in a model-theoretic setting; and last but not least the tree method is ideal for pedagogical purposes. (shrink)

We study descriptive set theory in the space ω1 ω 1 by letting trees with no uncountable branches play a similar role as countable ordinals in traditional descriptive set theory. By using such trees, we get, for example, a covering property for the class of Π 1 1 -sets of ω1 ω 1 . We call a family U of trees universal for a class V of trees if $\mathscr{U} \subseteq \mathscr{V}$ and every tree in V can be order-preservingly (...) mapped into a tree in U. It is well known that the class of countable trees with no infinite branches has a universal family of size ℵ 1 . We shall study the smallest cardinality of a universal family for the class of trees of cardinality ≤ℵ 1 with no uncountable branches. We prove that this cardinality can be 1 (under ¬CH) and any regular cardinal κ which satisfies ℵ 2 ≤ κ ≤ 2 ℵ 1 (under CH). This bears immediately on the covering property of the Π 1 1 -subsets of the space ω1 ω 1 . We also study the possible cardinalities of definable subsets of ω1 ω 1 . We show that the statement that every definable subset of ω1 ω 1 has cardinality $ or cardinality 2 ω1 is equiconsistent with ZFC (if n ≥ 3) and with ZFC plus an inaccessible (if n = 2). Finally, we define an analogue of the notion of a Borel set for the space ω1 ω 1 and prove a Souslin-Kleene type theorem for this notion. (shrink)

We show that given ù many supercompact cardinals, there is a generic extension in which the tree property holds at ℵ ω²+1 and the SCH fails at ℵ ω².

He says — " This Edmond Dudley, in the time of his imprisonment in the Tower, compiled one notable book, which he intituled ' The Tree of Common Wealth,' ...

In several works on modality, G. H. von Wright presents tree structures to explain possible worlds. Worlds that might have developed from an earlier world are possible relative to it. Actually possible worlds are possible relative to the world as it actually was at some point. Many logically consistent worlds are not actually possible. Transitions from node to node in a tree structure are probabilistic. Probabilities are often more useful than similarities between worlds in treating counterfactual conditionals.

Most definitions of the concept of stakeholder include only human entities. This paper advances the argument that the non-human natural environment can be integrated into the stakeholder management concept. This argument includes the observations that the natural environment is finally becoming recognized as a vital component of the business environment, that the stakeholder concept is more than a human political/economic one, and that non-human nature currently is not adequately represented by other stakeholder groups. In addition, this paper asserts that any (...) of several stakeholder management processes can readily include the natural environment as one or more stakeholders of organizations. Finally, the point is made that this integration would provide a more holistic, value-oriented, focused and strategic approach to stakeholder management, potentially benefitting both nature and organizations. (shrink)