We introduce the Hausdorff measure for definable sets in an o-minimal structure, and prove the Cauchy—Crofton and co-area formulae for the o-minimal Hausdorff measure. We also prove that every definable set can be partitioned into “basic rectifiable sets”, and that the Whitney arc property holds for basic rectifiable sets.

We examine two connectionist networks—a fractal learning neural network (FLNN) and a Simple Recurrent Network (SRN)—that are trained to process center-embedded symbol sequences. Previous work provides evidence that connectionist networks trained on infinite-state languages tend to form fractal encodings. Most such work focuses on simple counting recursion cases (e.g., anbn), which are not comparable to the complex recursive patterns seen in natural language syntax. Here, we consider exponential state growth cases (including mirror recursion), describe a new training scheme that seems (...) to facilitate learning, and note that the connectionist learning of these cases has a continuous metamorphosis property that looks very different from what is achievable with symbolic encodings. We identify a property—ragged progressive generalization—which helps make this difference clearer. We suggest two conclusions. First, the fractal analysis of these more complex learning cases reveals the possibility of comparing connectionist networks and symbolic models of grammatical structure in a principled way—this helps remove the black box character of connectionist networks and indicates how the theory they support is different from symbolic approaches. Second, the findings indicate the value of future, linked mathematical and empirical work on these models—something that is more possible now than it was 10 years ago. (shrink)

We suggest that the theory of dynamical systems provides a revealing general framework for modeling the representations and mechanism underlying syntactic processing. We show how a particular dynamical model, the Visitation Set Gravitation model of Tabor, Juliano, and Tanenhaus (1997), develops syntactic representations and models a set of contingent frequency effects in parsing that are problematic for other models. We also present new simulations showing how the model accounts for semantic effects in parsing, and propose a new account of the (...) distinction between syntactic and semantic incongruity. The results show how symbolic structures useful in parsing arise as emergent properties of connectionist dynamical systems. (shrink)

Human participants and recurrent (“connectionist”) neural networks were both trained on a categorization system abstractly similar to natural language systems involving irregular (“strong”) classes and a default class. Both the humans and the networks exhibited staged learning and a generalization pattern reminiscent of the Elsewhere Condition (Kiparsky, 1973). Previous connectionist accounts of related phenomena have often been vague about the nature of the networks’ encoding systems. We analyzed our network using dynamical systems theory, revealing topological and geometric properties that can (...) be directly compared with the mechanisms of non-connectionist, rule-based accounts. The results reveal that the networks “contain” structures related to mechanisms posited by rule-based models, partly vindicating the insights of these models. On the other hand, they support the one mechanism (OM), as opposed to the more than one mechanism (MOM), view of symbolic abstraction by showing how the appearance of MOM behavior can arise emergently from one underlying set of principles. The key new contribution of this study is to show that dynamical systems theory can allow us to explicitly characterize the relationship between the two perspectives in implemented models. (shrink)

In order to develop efficient tools for automated reasoning with inconsistency (theorem provers), eventually making Logics of Formal inconsistency (_LFI_) a more appealing formalism for reasoning under uncertainty, it is important to develop the proof theory of the first-order versions of such _LFI_s. Here, we intend to make a first step in this direction. On the other hand, the logic _Ciore_ was developed to provide new logical systems in the study of inconsistent databases from the point of view of _LFI_s. (...) An interesting fact about _Ciore_ is that it has a _strong_ consistency operator, that is, a consistency operator which (forward/backward) propagates inconsistency. Also, it turns out to be an algebraizable logic (in the sense of Blok and Pigozzi) that can be characterized by means of a 3-valued logical matrix. Recently, a first-order version of _Ciore_, namely _QCiore_, was defined preserving the spirit of _Ciore_, that is, without introducing unexpected relationships between the quantifiers. Besides, some important model-theoretic results were obtained for this logic. In this paper we study some proof–theoretic aspects of both _Ciore_ and _QCiore_ respectively. In first place, we introduce a two-sided sequent system for _Ciore_. Later, we prove that this system enjoys the cut-elimination property and apply it to derive some interesting properties. Later, we extend the above-mentioned system to first-order languages and prove completeness and cut-elimination property using the well-known Shütte’s technique. (shrink)

Saving Animals, a study of three different kinds of animal sanctuaries, is the first major ethnography to describe how sanctuaries “unmake” the notion of animals as property that reduces them to “bare life.” The study relies on numerous engaging narratives about rescue animals, their mutual interactions, and their interactions with the people who care for them—narratives that illustrate how the sentience and subjectivity of animals provide a firm ground for the author's ethical considerations. An animal sanctuary is ideally an (...) intentional community of cocitizens whose pragmatic and symbolic value resides in its ability to lay the foundation for a broad challenge to all violent practices of exploitation “targeted at a range of different others.” The patient, incremental work of sanctuaries has implications not only for the future of human-animal relations but more broadly for the future of humans on the planet. The ultimate vision of sanctuaries is a world outside that mirrors the world inside, a pantopia where there will be no “others,” only “us.”. (shrink)

I begin with my account of Ben-Ze’ev’s notions of acute, extended, and enduring emotions, focusing on explicating their ontological structure and identifying their differentia. I then discuss the two models of romantic love that Ben-Ze’ev introduces—the care model and the dialogue model—highlighting his argument against the claim that “love is a property of, and in some formulations resides in, the connection between the two lovers” (Ben-Ze’ev 2019, 48). Although this claim can be understood in at least one of two (...) ways—as a claim about the essence of the genus romantic love or the essence of the overarching genus, love—I will concentrate on the implication of Ben-Ze’ev’s argument against this claim for his conception of the genus romantic love. I will argue that Ben-Ze’ev’s rejection of the claim that love can be a property of or reside in the connection between two lovers jeopardizes his book’s primary aim: to convince us of the possibility of enduring romantic love. Ben-Ze’ev should, therefore, reconsider his claim that romantic love is not a property of or resides in the connection between two lovers, and accept that it is at least possible. (shrink)

This thesis is divided into three parts, the first and second ones focused on combinatorics and classification problems on discrete and geometrical objects in the context of descriptive set theory, and the third one on generalized descriptive set theory at singular cardinals of countable cofinality.Descriptive Set Theory (briefly: DST) is the study of definable subsets of Polish spaces, i.e., separable completely metrizable spaces. One of the major branches of DST is Borel reducibility, successfully used in the last 30 years to (...) solve and compare many classification problems. One of our goals is the classification of knots, very familiar and tangible objects in everyday life, which also play an important role in modern mathematics. The study of knots and their properties is known as knot theory. Our plan is to gain insight into knots using discrete objects, such as linear and circular orders. This approach was already exploited in [6]. The first part of this work is therefore devoted to countable linear orders and the study of the quasi-order of convex embeddability and its induced equivalence relation. We obtain both combinatorial and descriptive set-theoretic results. We also expand our research to the case of circular orders.Another objective of this first part is to extend the notion of convex embeddability on countable linear orders. We provide a family of quasi-orders of which embeddability is a particular case as well. We study these quasi-orders from a combinatorial point of view and analyse their complexity with respect to Borel reducibility. Furthermore, we extend the analysis of these quasi-orders to the set of uncountable linear orders.The second part of the project deals with classification problems on knots and $3$ -manifolds. The goal here is to apply the results obtained in the first part to the study of proper arcs and knots, establishing lower bounds for the complexity of some natural relations between these geometrical objects. We also obtain some combinatorial results which are particularly interesting when we restrict to the set of wild proper arcs and wild knots, classes which haven’t received much attention so far. These parts are included in the two preprints [4, 5] in collaboration with my supervisor Alberto Marcone, Luca Motto Ros (University of Torino), and Vadim Weinstein (University of Oulu).The second part of this work also includes the classification of non-compact $3$ -manifolds up to homeomorphism (the case of compact $3$ -manifolds has already been solved: indeed, there are only countably many $3$ -manifolds up to homeomorphism; see [7]), and that of Cantor sets of $\mathbb {R}^3$ up to conjugation (answering to Question 5.5 of [3]). Here we resort to algebraic tools. Stone duality gives a neat way to go back-and-forth between totally disconnected Polish spaces and countable Boolean algebras (see [1]). The main ingredient is the Stone space of all ultrafilters on a Boolean algebra. In this work we introduce a weaker concept which we call “blurry filter”. Using blurry filters instead of ultrafilters enables one to extend the class of spaces under consideration beyond totally disconnected. As an application of this method, we show that both homeomorphism on non-compact $3$ -manifolds and conjugation of Cantor sets in $\mathbb {R}^3$ are completely classifiable by countable structures. These results are part of an upcoming paper in collaboration with Vadim Weinstein.The last part of this thesis concerns the natural generalization of descriptive set theory that occurs when countable is replaced by uncountable, called Generalized Descriptive Set Theory (briefly: GDST). In particular, we focus on the case of GDST for a singular cardinal $\kappa $ of countable cofinality. The goal here is to study the generalizations of the Perfect Set Property and the Baire Property to subsets of spaces of higher cardinalities, like the power set $\mathcal {P}(\kappa )$. We consider the question under which large cardinal hypotheses classes of definable subsets of these spaces possess such regularity properties, focusing on rank-into-rank axioms, like I2, and classes of sets definable by $\Sigma _1$ -formulas with parameters from various collections of sets. The obtained results are included in [2], a joint work with my co-supervisor Vincenzo Dimonte and Philipp Lücke (University of Hamburg).Abstract prepared by Martina IannellaE-mail: [email protected]: https://air.uniud.it/handle/11390/1262824. (shrink)

To examine the cultural limitations and implications in the applicability of the Depression Anxiety Stress Scale 8-items —a shortened version of the DASS-21 recently introduced in an Arab sample—this study evaluated its psychometric properties, including measurement invariance, among healthy subjects from the United States, Australia, and Ghana. Confirmatory factor analysis revealed good fit of the DASS-8 relative to a 12-item version. Both the DASS-8 and the DASS-12 were invariant at all levels across genders, employment status, and students vs. non-students. The (...) DASS-8/DASS-12 also expressed invariance at the configural and metric levels across all countries, albeit scalar invariance was not maintained due to misspecification of the factor loadings in the Ghanian sample. Mann–Whitney U test revealed significantly lower levels of mental symptomatology on the DASS measures among Ghanian students than in English-speaking respondents. The DASS-8 expressed excellent internal consistency, good convergent validity—noted by high values of item-total correlations, good predictive validity—indicated by significantly strong correlation with the DASS-21 and its subscales, and adequate discriminant validity—indicated by heterotrait–monotrait ratio of correlations <0.85. The DASS-8 correlated with the Internet Gaming Disorder-9, the Adult attention-deficit/hyperactivity disorder Self-Report Scale, and the Individualism and Collectivism Scale/Culture Orientation Scale at the same level as the DASS-21 and the DASS-12, denoting its adequate criterion validity. The DASS-8 can be used as a brief alternative to the DASS-21 to screen for mental symptomatology in English-speaking and African cultures. However, the same scores on the DASS-8 and the DASS-12 may not always indicate the same level of symptom severity in subjects from different countries. Further inter-cultural evaluations of the DASS-8 are needed. (shrink)

AdaBoost has been successfully applied to a number of classification tasks, seemingly defying problems of overfitting. AdaBoost performs gradient descent in an error function with respect to the margin. This method concentrates on the patterns which are hardest to learn. However, this property of AdaBoost can be disadvantageous for noisy problems. Indeed, theoretical analysis has shown that the margin distribution plays a crucial role in understanding this phenomenon. Loosely speaking, some outliers should be tolerated if this has the benefit (...) of substantially increasing the margin on the remaining points. In this paper, we propose new noise robust boosting methods using the concepts of ν-Support Vector Classification and Arc-GV. These methods allow for the probability of a pre-specified fraction ν of points to lie in the margin area or even on the wrong side of the decision boundary. This algorithms can give a nicely interpretable way of controlling the trade-off between minimizing the training error and capacity. (shrink)

Kinematic properties of reaching movements reflect constraints imposed on the joint angles. Contemporary models present solutions to the redundancy problem by a pseudoinverse procedure (Whitney 1969) or without any inversion (Berkenblit et al. 1986). Feldman & Levin suggest a procedure based on a regular inversion. These procedures are considered as an outcome of a more general approach.

The brain constructs within itself an understanding of its surround which constitutes its own world. This is described as its Double in the frame of the dissipative quantum model of brain, where the perception-action arc in the Merleau-Ponty’s phenomenology of perception finds its formal description. In the dialog with the Double, the continuous attempt to reach the equilibrium shows that the real goal pursued by the brain activity is the aesthetical experience, the most harmonious “to-be-in-the-world” reached through reciprocal actions, the (...) aesthetical dimension characterized by the “pleasure” of the perception. Aesthetical pleasure unavoidably implies disclosure, to manifest “signs”, artistic communication. An interpersonal, collective level of consciousness then arises, a larger stage where the actors are mutually dependent. The coherent structure of the brain background state manifests itself in the auto-similarity properties of fractal structures. These are observed to occur also in a large number of natural phenomena and systems. The conception of Nature divided in separated domains is replaced by the vision of Nature unified by laws of form implied by the underlying quantum dynamics of the coherent vacuum, an integrated ecological vision. (shrink)

We study properties of definable sets and functions in power-bounded T -convex fields, proving that the latter have the multidimensional Jacobian property and that the theory of T -convex fields is b -minimal with centers. Through these results and work of I. Halupczok we ensure that a certain kind of geometrical stratifications exist for definable objects in said fields. We then discuss a number of applications of those stratifications, including applications to Archimedean o-minimal geometry.

Using H. Whitney's algebra of physical quantities and his definition of a similarity transformation, a family of similar systems (R. L. Causey [3] and [4]) is any maximal collection of subsets of a Cartesian product of dimensions for which every pair of subsets is related by a similarity transformation. We show that such families are characterized by dimensionally invariant laws (in Whitney's sense, [10], not Causey's). Dimensional constants play a crucial role in the formulation of such laws. They (...) are represented as a function g, known as a system measure, from the family into a certain Cartesian product of dimensions and having the property gφ =φ g for every similarity φ . The dimensions involved in g are related to the family by means of certain stability groups of similarities. A one-to-one system measure is a proportional representing function, which plays an analogous role in Causey's theory, but not conversely. The present results simplify and clarify those of Causey. (shrink)

In the United States, property rights are afforded protection, but moral rights are not. Up until 1989, the United States adamantly refused to join the Berne Copyright Convention, the first multilateral copyright treaty, now ratified by seventy-eight countries. The American government refused to comply because the Berne Convention grants moral rights to authors. This international policy was—and is—incompatible with United States copyright law, which recognizes only economic rights. Although ten states have enacted some form of moral rights legislation, federal (...) copyright laws tend to prevail, and those are still wholly economic in their motivation. Indeed, the recent pressure for the United States to agree, at least in part, to the terms of the Berne Convention came only as a result of a dramatic increase in the international piracy of American records and films.In September 1986, Senator Edward M. Kennedy of Massachusetts first introduced a bill called the Visual Artists Rights Act. This bill attempts to amend federal copyright laws to incorporate some aspects of international moral rights protection. The Kennedy bill would prohibit the intentional distortion, mutilation, or destruction of works of art after they have been sold. Moreover, the act would empower artists to claim authorship, to receive royalties on subsequent sales, and to disclaim their authorship if the work were distorted.4 This legislation would have prevented Clement Greenburg and the other executors of David Smith’s estate from authorizing the stripping of paint from Several of Smith’s later sculptures so that they would resemble his earlier—and more marketable—unpainted sculptures. Such moral rights legislations would have prevented a Japanese bank in New York from removing and destroying a sculpture by Isamu Noguchi simply because the bank president did not like it. And such legislation would have prevented the United States government from destroying Tilted Arc. 4. Although this section appeared in the original version of Kennedy’s bill, the current version provides for a study of resale royalties. Richard Serra is known for his large-scale site-specific works in landscapes, urban environments, and museums. (shrink)

While a large body of work in sentence comprehension has explored how different types of linguistic information are used to guide syntactic parsing, less is known about the effect of discourse structure. This study investigates this question, focusing on the main and subordinate discourse contrast manifested in the distinction between restrictive relative clauses (RRCs) and appositive relative clauses (ARCs) in American English. In three self-paced reading experiments, we examined whether both RRCs and ARCs interfere with the matrix clause content and (...) give rise to the agreement attraction effect. While the standard attraction effect was consistently observed in the baseline RRC structures, the effect varied in the ARC structures. These results collectively suggest that discourse structure indeed constrains syntactic dependency resolution. Most importantly, we argue that what is at stake is not the static discourse structure properties at the global sentence level. Instead, attention should be given to the incremental update of the discourse structure in terms of which discourse questions are active at any given moment of a discourse. The current findings have implications for understanding the way discourse structure, specifically the active state of discourse questions, constrains memory retrieval. (shrink)

A semantic network or net is a graphic notation for representing knowledge in patterns of interconnected nodes and arcs. Computer implementations of semantic networks were first developed for artificial intelligence and machine translation, but earlier versions have long been used in philosophy, psychology, and linguistics. What is common to all semantic networks is a declarative graphic representation that can be used either to represent knowledge or to support automated systems for reasoning about knowledge. Some versions are highly informal, but other (...) versions are formally defined systems of logic. Following are six of the most common kinds of semantic networks, each of which is discussed in detail in one section of this article. 1. Definitional networks emphasize the subtype or is-a relation between a concept type and a newly defined subtype. The resulting network, also called a generalization or subsumption hierarchy, supports the rule of inheritance for copying properties defined for a supertype to all of its subtypes. Since definitions are true by definition, the information in these networks is often assumed to be necessarily true. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Irreplaceable Cannot Be ReplacedEllen HarveyThe Irreplaceable Cannot Be Replaced, Ellen Harvey, 2008. Photographs: Jan Baracz.People in New Orleans were invited to submit images or descriptions of irreplaceable places, people, or things lost to Hurricane Katrina. Eleven submissions were chosen at random and the artist painted 16” x 20” oil paintings based on those submissions. All thirty texts that were submitted were framed and exhibited along with the paintings (...) at the Contemporary Arts Center/New Orleans as part of the exhibition Something from Nothing, curated by Dan Cameron. Texts without a painting were accompanied by a framed black panel. At the end of the exhibition, all of the paintings and the framed texts were given away to the participants.Ellen Harvey was born in the United Kingdom and lives and works in Brooklyn, NY. She has exhibited extensively in the US and internationally and was most recently included in the 2008 Whitney Biennial. Recent solo exhibitions include Private Collections at Locks Gallery, Philadelphia, The Museum of Failure at Luxe Gallery, New York, Beautiful/Ugly at Magnus Müller in Berlin, Bad Mirror at Galerie Gebruder Lehmann in Dresden, Mirror at the Pennsylvania Academy, and A Whitney for the Whitney at Philip Morris at the Whitney Museum at Altria. She took part in the Whitney Independent Study Program and the PS1 Studio Program. Recent awards include a Pennies from Heaven Grant, a Philadelphia Exhibitions Initiative Grant, a Rema Hort Mann Foundation Grant, a Palm Beach County Cultural Council Grant, and a New York Foundation for the Arts Fellowship. She has completed projects for both the New York and Chicago Transit Authorities, most recently including a mosaic for the new Metro-North Yankee Stadium Station. The New York Beautification Project was published by Gregory Miller in 2005, and Ellen Harvey: Mirror was published by the Pennsylvania Academy in 2006. Click for larger view View full resolutionI am 87 years old living in a trailer on our property in New Orleans.We had 5 ft of water, which remained in the house 6 weeks creating mold to the ceiling.We lost everything. When I read Chris Rose’s column (he’s my favorite columnist in the whole world) it brought to mind my mother’s two dining room chairs that had been around as long as I can remember. I had them restored in about 1976 by Senior Citizens in classes of the “Peoples Program” sponsored by the nuns on Mirabean Ave. The wood was polished and varnished with a light brown stain and the seats were re-caned. I was born in 1920 so the chairs could be 75 years old. Anyway I can imagine you will have many interesting subjects to choose from but I’m submitting mine hoping I’ll be one of the very fortunate ones selected.I am terrible at drawing but will give you as complete a description as I can.I loved those chairs and enjoyed them for extra seating on holidays and at parties and they were conversation pieces.Alice Delaney[End Page 2] Click for larger view View full resolutionThere are so many “washed away” treasures, that the memorialization of even just one will be everlastingly meaningful to the community.I am submitting photographs of porcelain dolls, which I had crafted prior to the disaster. The dolls shown were created from commercial molds and were ready to go to a “new home.” Needless to say these dolls were submerged under water for at least two weeks. I call them my “children of the flood” but have not had the courage to disassemble them. I was able to rescue some doll parts and am in the process of cleaning, sorting and sanitizing them for future assembly.If I am ever able to get back to my very rewarding hobby, which was helpful in supplementing my retirement income, I will have to replace my electronic kiln and most of my doll making supplies. Many of the molds that were destroyed are no longer available. However, I will keep the memories dear, I have been fortunate enough to replace my sewing machines and some of the fabric used for clothing and doll... (shrink)

Background: Clinical tests for detecting central and peripheral shoulder fatigue are limited. The discrimination of these two types of fatigue is necessary to better adapt recovery intervention. The Kinematic Theory of Rapid Human Movements describes the neuromotor impulse response using lognormal functions and has many applications in pathology detection. The ideal motor control is modeled and a change in the neuromuscular system is reflected in parameters extracted according to this theory. Objective: The objective of this study was to assess whether (...) a shoulder neuromuscular fatigue could be detected through parameters describing the theory, if there is the possibility to discriminate central from peripheral fatigue, and which handwriting test gives the most relevant information on fatigue. Methods: Twenty healthy participants performed two sessions of fast stroke handwriting on a tablet, before and after a shoulder fatigue. The fatigue was in internal rotation for one session and in external rotation during the other session. The drawings consisted of simple strokes, triangles, horizontal and vertical oscillations. Parameters of these strokes were extracted according to the Sigma-Lognormal model of the Kinematic Theory. The evolution of each participant was analyzed through a U-Mann-Whitney test for individual comparisons. A Hotelling’s T² test and a U-Mann-Whitney test were also performed on all participants to assess the group evolution after fatigue. Moreover, a correlation among parameters was calculated through Spearman coefficients to assess intrinsic parameters properties of each handwriting test. Results: Central and peripheral parameters were statistically different before and after fatigue with a possibility to discriminate them. Participants had various responses to fatigue. However, when considering the group, parameters related to the motor program execution showed significant increase in the handwriting tests after shoulder fatigue. The test of simple strokes permits to know more specifically where the fatigue comes from, whereas the oscillations tests were the most sensitive to fatigue. Conclusion: The results of this study suggest that the Sigma-Lognormal model of the Kinematic Theory is an innovative approach for fatigue detection with discrimination between the central and peripheral systems. Overall, there is a possibility to implement the setting for clinics and sports personalized follow-up. (shrink)

In the framework of the history approach to quantum mechanics and, in particular, of the formulation of Gell-Mann and Hartle, the question of the existence of inequivalent decoherent sets of histories is reconsidered. A simple but acceptably realistic model of the dynamics of the universe is proposed and a particular set of histories is shown to be decoherent. By suitable tranformations of this set, a family of sets of histories is then generated, such that the sets, first, are decoherent on (...) the basis of the assumed dynamics of the universe and, secondly, arc certainly inequivalent, apart from trivial special cases. Finally, the original set of histories is refined to get a model of the usual quasiclassical domain and it is shown that, applying to it the previously considered transformations, a family of sets of histories is obtained which share typical properties of the usual quasiclassical domain. (shrink)

Against the background of an academic development starting in literary studies, also involving ‘encounters’ with hermeneutics, this article argues that the contemporary cross-discipline of Discourse Studies, and hence Critical Discourse Studies, have gone beyond the impressionistic or erudite ‘interpretation’ of texts, as traditionally practiced in hermeneutics. It is summarized how psychology today accounts for many of the properties of the semantic and pragmatic comprehension of situated text and talk, for instance in terms of mental models. It thus makes explicit processes (...) that are only vaguely characterized in terms of the metaphors of the interpretative ‘Arc’ as presented by Ricoeur. Yet we have only begun to make explicit the complex processes of discourse comprehension, especially also how structures of discourse are related to broader social, political, historical or cultural macro-contexts. Sophisticated discourse interpretations, also in hermeneutics, may thus provide insights that may be used in future developments of more explicit theories of discourse understanding. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Whoa! JOHN SHOPTAW ONE A young man with gold hair in a coal-black robe and slippers was off to confront the Sun. But as he paced the hotel corridors, Ray could feel his step losing its jaunt. At this rate, he’d make it to nowhere in nothing flat. Just then, he noticed his old wall map thumbtacked over some double doors. How’d his Boys’ Life get out here? He (...) looked it over, the big fat world, cut open and stretched flat, like an elephant hide. The properties were green, purple and red, and the waters whitish blue. The Mercator-projected bottom was jagged with ice. The whole place was crawling with letters, like ants on a cake. The best part was the creatures: a long-armed squid suctioning a whale, sea lions sunning themselves. No. Seals. He bunched his brows. No. Hills. And game big as states, as nations: hippos in Africa’s watering holes, a beauty of a cheetah, its sights trained. Untacking and folding the map, Ray tucked it into his pocket and slid open the doors. He found himself in a dim cavern facing a motionless escalator. Its stairs were gold-plated, its balustrades brushed aluminum and its handrails hand-rubbed ostrich skin. He could see no end of stairs. It must be arion 27.1 spring/summer 2019 one unbroken flight to the Sun’s penthouse. But where was the down escalator? Beats him. He planted his slippers and clasped the rails. With a little lurch the escalator began its quickening glide. Now this was first-class. No huffing required. Simply the assumption of an attitude. Up ahead, the horizon gleamed ivory. 2 whoa! TWO The stairway teeth clamped shut and Ray was thrown into a hard glare. Sunblock and goggles— they’ll let you look into things—on your right, came a voice positively sunny. Ray slathered and goggled himself, and beheld by a high stone robed in emerald moss a trim figure in a sea-snail-purple sweatsuit and a broad-brimmed straw hat puttering about a humid sundial of wide-waking annuals and perennials— snowdrops, crocuses, daisies and daylilies, rice in flower and maize in silk, woozy jasmine and heady grapevines, a temperamental winter daphne, and tall in the motley midst the polar gnomon, an Indian turnsole or heliotrope, sweeping its shaft of shadow from one to the next minute marigold dot as the ambling photosynthesizer passed the fragrant hours of the zodiac. Batting away hummingbirds and honeybees, Ray waded through the flower bed toward Sol. Am I your heir? Can I have what I want? Sure, kid, name it. Ray glanced toward the honey-scented manure. A joyride? Sol sighed. It’s your funeral. Taking his time, he led Ray out to the dayport. What a letdown! Ray’d expected a futuristic heliumpowered sports coupe, or at least a souped-up solar Mustang. Not this gold-rimmed, pyrite-axled backward half-bucket with footpads! John Shoptaw 3 Dawn, meanwhile, with her practiced blush arched her horizon, and her pomegranate interiors yawned wide. The stars dispersed. Venus, her shell-blue and egg-white gauzes aswirl, gave Dawn a last long look above her handmirror’s crescent rim. Sol was watching moonshine evanesce from his glowing barndoors, which cracked in a spewing welding arc and then opened wide to reveal a dozen prompt and close-cropped Hours, coaxing a team of four mammoth pegasi yoked neck and neck and neck and neck, stoked with thick ambrosial plasma and snorting flame. As the nymphs hitched the tack to the chariot pole, the Sun, shaking his head, untied his flaring sunhat and knotted it under Ray’s chin. Lay off the whip and draw rein with a firm hand. They’ll fly by themselves with no help from you. But they’ll answer to Clover, Crocus, Peony, Sage. Steer clear of the straightaway. Bank the rig into a circumbendibus. But don’t, whatever you do... But Ray’s attention had drifted. The rampant quadrupeds hooved trails of sparks down the dayport door, their heavy fog blankets slid off, and they shook out their shoulder-wings. A pliant breeze sprang up from the East... (shrink)

The languages of finitary and infinitary logic over the alphabet of bounded lattices have proven to be of considerable use in the study of compacta. Significant among the sentences of these languages are the ones that are base free, those whose truth is unchanged when we move among the lattice bases of a compactum. In this paper we define syntactically the expansive sentences, and show each of them to be base free. We also show that many well-known properties of compacta (...) may be expressed using expansive sentences; and that any property so expressible is closed under inverse limits and co-existential images. As a byproduct, we conclude that co-existential images of pseudo-arcs are pseudo-arcs. This is of interest because the corresponding statement for confluent maps is still open, and co-existential maps are often—but not always—confluent. (shrink)

Liberalism and Distributive Justice discusses liberalism, capitalism, distributive justice, and John Rawls's difference principle. Chapters are organized in a narrative arc: from liberalism as the dominant political and economic system, to the laws governing interpersonal transactions in liberal society, to basic economic and political institutions that determine distributive justice.

Throughout the 20th century, market capitalism was defended on parallel grounds. First, it promotes freedom by enabling individuals to exploit their own property and labor-power; second, it facilitates an efficient allocation and use of resources. Recently, however, both defenses have begun to unravel—as capitalism has moved into its “platform” phase. Today, the pursuit of allocative efficiency, bolstered by pervasive data surveillance, often undermines individual freedom rather than promoting it. And more fundamentally, the very idea that markets are necessary to (...) achieve allocative efficiency has come under strain. Even supposing, for argument’s sake, that the claim was true in the early 20th century when von Mises and Hayek pioneered it, advances in computing have rekindled the old “socialist calculation” debate. And this time around, markets—as information technology—are unlikely to have the upper hand. -/- All of this, we argue, raises an important set of governance questions regarding the political economy of the future. We focus on two: How much should our economic system prioritize freedom, and to what extent should it rely on markets? The arc of platform capitalism bends, increasingly, toward a system that neither prioritizes freedom nor relies on markets. And the dominant critical response, exemplified by Shoshana Zuboff’s work, has been to call for a restoration of market capitalism. Longer term, however, we believe it would be more productive to think about how “postmarket” economic arrangements might promote freedom—or better yet, autonomy—even more effectively than markets, and to determine the practical steps necessary to realize that possibility. (shrink)

Initially introduced to the philosophical world as elusive, we-know-notwhats—substrata underlying the properties had or exemplified by things, but themselves bereft of properties—bare particulars have been dismissed as undetectable, unnecessary, and even incoherent. Hardly a warm welcome. It appears, however, that times are changing. In a recent series of articles, for example, J. P. Moreland has argued that “bare particulars are crucial entities in any adequate overall theory of individuation”;’ that is, concrete particulars cannot be individuated without them. In the same (...) vein, Oaklander and Rothstein,2 drawing upon elements of Moreland’s new theory, have defended bare particulars against Loux’s grounding objection’—that if the theory is correct, bare particulars are qualitatively indiscernible; in which case we either have no basis for saying that they arc numerically diverse, or we must introduce lower-level substrata to ground that diversity, thereby raising the spectre of an infinite regress of individuators. (shrink)

In my commentary on Ben-Ze'ev's The Arc of Love, I am primarily concerned with what Ben-Ze'ev regards to be the differentia and the genus of enduring romantic love, along with his claim that love is not a property of nor resides in the connection between a lover and their beloved. More specifically, I was concerned with encouraging Ben-Ze'ev to precisify his account of the ontological nature and structure of enduring romantic love, especially in terms of what differentiates enduring romantic (...) love from what Ben-Ze'ev might refer to as acute romantic love and extended romantic love. I am also concerned with what it is about these kinds of experiences, if anything at all, that unify them under the genus of enduring romantic love (i.e., romantic love). (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Incomprehensible Certainty: Metaphysics and Hermeneutics of the Image by Thomas PfauThomas ZingelmannPFAU, Thomas. Incomprehensible Certainty: Metaphysics and Hermeneutics of the Image. Notre Dame, Ind.: University of Notre Dame Press, 2022. xxiii + 785 pp. Cloth, $80.00Thomas Pfau reconstructs one of the most traditional and possibly most decisive philosophical debates, [End Page 559] namely, the one about the form and function of appearance (Schein). This debate is taken up (...) on the basis of the concept of image. This means that Pfau concentrates historically as well as systematically on a specific topic within this debate. The book is divided into two major sections.In the first section, Pfau examines how the history of the metaphysics and theology of the image develops, starting with Plato in the first chapter. The basic idea in this section is that the image has a crucial epistemic role in the metaphysical and theological systems of the authors addressed. Here Pfau shows that Plato, at the latest in the Sophist, develops a theory of images that revalues appearance contrary to the assumptions in the Republic. Chapter 1 is about the mediation of unity and multiplicity, as it is also shown in Plotinus. Chapter 2 attempts to show how the Byzantine icon embodies the conviction that the invisible truth of the visual world can be revealed only through images. Pfau's demonstration of various epistemic dimensions of the image then begins with chapter 3: the eschatological vision from Augustine to Bonaventure to Julian of Norwich. Chapter 4, the last of the first section, reconstructs Nicholas of Cusa's position, which attempts to understand mystical visions mediated by images of Christ.The second section examines how the metaphysics of the image—in the sense of an epistemology, which tries to establish ultimate justifications—nevertheless persists and even evolves despite two crucial switches in philosophy. On the one hand, this concerns philosophy that subordinates the visual to the abstract (for example, Hegel) and, on the other, the supposedly nonmetaphysical status of the image in the developing natural sciences. Chapter 5 then attempts to show, through Goethe's botanical investigations and reflections, how, despite the establishment of the natural sciences, Goethe attempts to defend intuition as a scientific method and appearance as a scientific object of investigation. This position is then pursued historically in chapter 6, through the work of Lyell, Darwin, and Ruskin, where the visible is understood as the connecting point of the sciences in general. Gerard Manley Hopkins is then identified in chapter 7 as representing a position that combines theological with proto-phenomenological arguments to highlight the epistemic value of images. The last chapter then deals with decisive developments at the beginning of the twentieth century. In phenomenology (Husserl), painting (Cézanne), and poetry (Rilke), a conception develops that epistemically valorizes sensual and intuitive experience.Generally speaking, Pfau attempts to trace historically what arguments and positions have been developed on the relationship between image and knowledge. His work is based on the conviction that the image is the basis for human orientation in the world and is therefore of great epistemological value. Of outstanding importance for his question is that the epistemological value of images is not to be located in the properties of images, that is, an ontology of the image; rather, Pfau is interested in those positions that reflect on the relationship between knowledge and [End Page 560] experience of images. While clarifying the ontological status of images remains important, the epistemological status of images—what role the experience and usage of images has for humans—is in the foreground. Pfau reconstructs positions that hold that the pictorial is a medium of knowledge. He puts forward the thesis that there is a tradition that is of the opinion that in and through the medium of the image—and this closes the arc to the Schein-debate—being can be experienced by man. In other words, the invisible is to become recognizable through the visible. Of particular importance is his reading of the late Platonic dialogues: While appearance and being are still thought of as distinct in these dialogues, they are not opposed, in the sense of an epistemic opposition. Plato's... (shrink)

Internal relations are those relations that are intrinsic to the nature of one or more of the relata. They are a kind of essential relation, rather than an essential property. For example, an arc of a circle is internally related to the center of that circle in the sense that.

Nicolas Gueudeville's 1715 French translation of Utopia is often dismissed as a “belle infidèle,” an elegant but unfaithful work of translation. Gueudeville does indeed expand the text to nearly twice its original length. But he presents Utopia as a contribution to emergent debates on tolerance, natural religion, and political anthropology, directly addressing the concerns of many early advocates of the ideas we associate with Enlightenment. In this sense, it is not as much an “unfaithful” presentation of More's project as it (...) is an attempt to introduce Utopia to eighteenth-century francophone audiences—readers for whom theses on political economy and natural religion were much more salient than More's own preoccupations with rhetoric and English law. This paper introduces Gueudeville and his oeuvre, paying particular attention to his revisions to Louis-Armand de Lom d'Arce, Baron de Lahontan's 1703 Nouveaux Voyages dans l'Amérique Septentrionale. Published in 1705, Gueudeville's “revised, corrected, & augmented” version of Lahontan's Voyages foregrounds the rational and natural religion of the Huron as well as their constitutive aversion to property, to concepts of “mine” and “yours.” Gueudeville's revised version of Lahontan's Voyages purports to be an anthropological investigation as well as a study of New World political economy; it looks forward, moreover, to his edition of Utopia, framing More's work as a comparable study of political economy and anthropology. Gueudeville, in other words, renders More's Utopia legible to Enlightenment audiences, depicting Utopia not in terms of impossibility and irony but rather as a study of natural religion and attendant forms of political, devotional, and economic life. Gueudeville's edition of Utopia even proved controversial due, in part, to his insistence on the rationality as well as the possibility of Utopia. (shrink)

Jolley’s slim book joins a slew of recent work on Locke’s metaphysics of persons. The two “touchy subjects” of the title were the immortality of an immaterial soul and the resurrection of the same body. Jolley’s interpretive thesis is that Locke propounded a form of weak materialism, that is, property dualism. He set this up as a corrective to the common reading that Locke was agnostic about the metaphysical state of the soul. As Jolley sees it, Locke’s thinking in (...) support of weak materialism is spread across four works. His defense consists of tracing the arc of Locke’s thinking.... (shrink)

In the covariant Hamiltonian mechanics with action-at-a-distance, we compare the proper time and dynamical time representations of the coordinate space world line using the differential geometry of nongeodesic curves in 3+1 Minkowski spacetime. The covariant generalization of the Serret-Frenet equations for the point particle with interaction are derived using the arc length representation. A set of invariant point particle kinematical properties are derived which are equivalent to the solutions of the equations of motion in coordinate space and which are functions (...) of either the proper time or the dynamical time. Expressions for the quantities are given for the example of the covariant harmonic oscillator and comments are offered regarding the measurability of the dynamical time. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Locke on the Knowledge of Material Things ROBERT FENDEL ANDERSON IT IS nOT John Locke's intention, in his Essay Concerning Human Understanding, to deal with matter and material substance nor with how these are able to affect the mind. These are considerations for natural philosophy; Locke counts himself rather among the moral philosophers. He does not propose, therefore, to meddle with the physical aspects of the mind, nor with (...) the physical production of sensations through the organs, nor with the production of ideas in the understanding, nor even with whether ideas depend upon matter for their source. He defers to the wisdom of such men as Boyle, Sydenham, Huygens and Newton in these considerations, and finds it "... ambition enough to be employed as an under-labourer in clearing the ground a little, and removing some of the rubbish that lies in the way to knowledge....,, 1 It is true that Locke's Essay is characterized chiefly not by an interest in matter and the mechanics of perception but rather by an interest in epistemology and in the ordering and assessment of our knowledge. Because of the very nature and emphasis of this epistemology, however, Locke finds that he must, from time to time, at least mention the nature of matter and how it affects us. Finally, it becomes apparent, certain changes or ambiguities in his point of view regarding the mode of our knowledge and its certainty are consequences of his understanding of matter. It is a demonstration of these elements of his doctrine, which seem not to have obtained the full attention of such scholars as Aaron, Fraser, and Gibson, that I shall attempt in this paper. Fundamentally, Locke's theory of matter appears to be that of Democritus and Epicurus. Like the Greek atomists, he conceives of matter as consisting of particles or corpuscles infinite in number. At least some of these are so minute as to be individually insensible, and probably he intends that all are, although, to my knowledge, he never states that this is so. In the aggregate, in any case, particles do constitute perceptible bodies. As for the Greeks, so also for Locke, the particles arc all extended, having size and shape. They are said also to possess motion or rest, although he takes care to say that matter cannot produce motion in itself,e Locke frequently mentions other properties as being "primary" or "really in" material things. Some of these are solidity, texture, cohesion of parts, situation, and number. Apparently some of these may be ranked under others since, as he 1"Epistle to the Reader," Vol. I, p. 14. All footnotes refer to passages in John Locke's An Essay Concerning Human Understanding, collated and annotated, with prolegomena, biographical, critical, and historical by Alexander Campbell Fraser, in two volumes (New York, Dover Publications, Inc., 1959). Large Roman numerals refer to books of the Essay; small Roman numerals refer to chapters of the books; Arabic numerals refer to sections of the chapters. 2 IV, x, 10. [205] 206 HISTORY OF PHILOSOPHY remarks, figure presupposes extension, and receiving or communicating motion through impact presupposes solidity. The influences of these particles upon one another are treated by Locke under the topic of "powers," a notion which includes in it some kind of "secret relation of parts." 3 The capacities in any substance to give alterations of primary qualities are active powers; the capacities to receive such alterations are passive powers. This alteration must be accomplished by impact or impulse since this, Locke says, is the only way in which bodies can be conceived to operate. Sensation in the percipient being then is to be understood as a special case of this impact of particles upon others. It is evident to Locke that from external obiects some motion must be conveyed by some parts of our bodies to the brain or seat of sensation to produce in our minds the particular ideas we have of these external objects. We are able by sight to perceive at a distance the primary qualities of bodies of observable size. Locke reasons that therefore "... some singly imperceptible bodies must come from them to the eyes, and thereby convey to... (shrink)

In this paper, I argue that the temporal openness of perceptual experience provides insight into the basic structure of learning. I draw on Husserl's account of the mutability of the retained past inAnalyses Concerning Passive and Active Synthesis, and Merleau‐Ponty's account of the perceptual field, as well as his remarks on habit, inPhenomenology of Perception, in order to elucidate the relation between the perceptual past and the future it portends. More specifically, I argue that retention and habituation in perceptual experience (...) open dimensions of meaning that transform the initial, initiating, experiences in which meaning is first established. As a result, our experience of meaning is always subject to further development that we cannot anticipate. This temporal openness has consequences for our learning to navigate a perceptual field, but also, I argue, for our developing more complex ways of engaging with the world. Specifically, I show how learning requires that we commit ourselves to an object or task before we are in a position to recognize the implications or significance of our commitment. I further consider the role that others play in the inherent openness of learning to the development of new meaning. (shrink)

Although corporate social responsibility appears to be mutually beneficial for companies and consumers, the modern marketplace has left both parties in vulnerable positions. Consumers are increasingly subjected to incongruent CSR messages such as greenwashing, while companies are trapped in a strategic positioning dilemma with regard to how to most effectively and ethically approach CSR communication. This has led some companies to instead adopt a strategically silent approach, such as greenhushing. To capture this CSR positioning dilemma and test the positioning effects (...) on consumers’ attributions, this study applies attribution theory to conceptualize four distinct CSR positions which reflect varying combinations of congruence or incongruence between a company’s external CSR communication and its actual internal CSR actions. Using an online experiment, the effects of the CSR positions on consumer attributions for intrinsic and extrinsic CSR motivations and purchase intentions were tested across three CSR domains: environmental; labor; and lesbian, gay, bisexual, and transgender inclusion. Overall, the findings attest to the significant effect of internal–external congruence-based CSR positioning on how consumers respond to CSR communication. Importantly, the results indicate that discreet positioning is perceived similarly to uniform positioning, while misleading and unethical tactics such as CSR-washing are sure to backfire. Theoretical and managerial implications are discussed. (shrink)

The pioneering work of Johann Winckelmann (1717-1768) identified a homoerotic appreciation of male beauty in classical Greek sculpture, a fascination that had endured in Western art since the Greeks. Yet after Winckelmann, the value (even the possibility) of art's queer beauty was often denied. Several theorists, notably the philosopher Immanuel Kant, broke sexual attraction and aesthetic appreciation into separate or dueling domains. In turn, sexual desire and aesthetic pleasure had to be profoundly rethought by later writers. Whitney Davis follows (...) how such innovative thinkers as John Addington Symonds, Michel Foucault, and Richard Wollheim rejoined these two domains, reclaiming earlier insights about the mutual implication of sexuality and aesthetics. Addressing texts by Arthur Schopenhauer, Charles Darwin, Oscar Wilde, Vernon Lee, and Sigmund Freud, among many others, Davis criticizes modern approaches, such as Kantian idealism, Darwinism, psychoanalysis, and analytic aesthetics, for either reducing aesthetics to a question of sexuality or for removing sexuality from the aesthetic field altogether. Despite these schematic reductions, sexuality always returns to aesthetics, and aesthetic considerations always recur in sexuality. Davis particularly emphasizes the way in which philosophies of art since the late eighteenth century have responded to nonstandard sexuality, especially homoeroticism, and how theories of nonstandard sexuality have drawn on aesthetics in significant ways. Many imaginative and penetrating critics have wrestled productively, though often inconclusively and "against themselves," with the aesthetic making of sexual life and new forms of art made from reconstituted sexualities. Through a critique that confronts history, philosophy, science, psychology, and dominant theories of art and sexuality, Davis challenges privileged types of sexual and aesthetic creation imagined in modern culture-and assumed today. (shrink)

Recollection is central to the epistemology of Plato’sMeno. After all, the character Socrates claims that recollection is the process whereby embodied human souls bind down true opinions (doxai) and acquire knowledge (epistêmê). This paper examines the exchange between Socrates and Meno’s slave to determine (1) what steps on the path to acquiring knowledge are part of the process of recollection and (2) what is required for a subject to count as having recollected something. I argue that the key to answering (...) these questions is to get clear on the kind of process recollection is supposed to be. In particular, I argue that recollection is a process akin to the kind of process Aristotle calls “changes” (kinêseisor incompleteenergeiai). The key feature of such processes is that they aim at an end beyond themselves and are not complete until that end comes about. In the case of recollection, the end is knowledge, but inferior mental states, such as false opinion, puzzlement (aporia), and true opinion can come about because of a process of recollection without making it the case that the subject has recollected anything. I argue that this interpretation provides a textually supported and philosophically coherent understanding of Socrates’ conception of recollection. (shrink)