The migration of elder-care workers appears to be a zero-sum game. This naturally offends our sense of justice, especially when the host populations are richer. In this article, I argue that we ought to look beyond the short run. Once we look at the long run, we will see possibilities of non-zero-sum games that are mutually beneficial.

Standard theories in mereotopology focus on relations of parthood and connection among spatial or spatio-temporal regions. Objects or processes which might be located in such regions are not normally directly treated in such theories. At best, they are simulated via appeal to distributions of attributes across the regions occupied or by functions from times to regions. The present paper offers a richer framework, in which it is possible to represent directly the relations between entities of various types at different levels, (...) including both objects and the regions they occupy. What results is a layered mereotopology, a theory which can handle multiple layers (analogous to the layers of a lasagna) of spatially or spatiotemporally coincident but mereologically non-overlapping entities. (shrink)

. The connection presented in this paper mirror-links two metamathematical structures, the finitary closure operators, and the compact consistency properties, in such a way that a specification of one structure induces a provably equivalent specification of the other.

The Foundational Model of Anatomy (FMA) is a map of the human body. Like maps of other sorts – including the map-like representations we find in familiar anatomical atlases – it is a representation of a certain portion of spatial reality as it exists at a certain (idealized) instant of time. But unlike other maps, the FMA comes in the form of a sophisticated ontology of its objectdomain, comprising some 1.5 million statements of anatomical relations among some 70,000 anatomical kinds. (...) It is further distinguished from other maps in that it represents not some specific portion of spatial reality (say: Leeds in 1996), but rather the generalized or idealized spatial reality associated with a generalized or idealized human being at some generalized or idealized instant of time. It will be our concern in what follows to outline the approach to ontology that is represented by the FMA and to argue that it can serve as the basis for a new type of anatomical information science. We also draw some implications for our understanding of spatial reasoning and spatial ontologies in general. (shrink)

The Region Connection Calculus (RCC theory) is a well-known spatial representation of topological relations between regions. It claims that the connection relation is primitive in the spatial domain. We argue that the connection relation is indeed primitive to the spatial relations, although in RCC theory there is no room for distance relations. We first analyze some aspects of the RCC theory, e.g. the two axioms in the RCC theory are not strong enough to govern the connection relation, regions in the (...) RCC theory cannot be points, the uniqueness of the operation in the theory is not guaranteed, etc. To solve some of the problems, we propose an extension to the RCC theory by introducing the notion of region category and adding a new axiom which governs the characteristic property of the connection relation. The extended theory is named as RCC++. We support the claim that the connection relation is primitive to spatial domain by showing how distance relations, size relations are developed in RCC++. At last we revisit a sub-family of un-intended models in RCC theory, argue that RCC++ is more suitable than RCC with regards to its original intended model, and discuss the representation limitation of the RCC, as well as RCC++. (shrink)

At the onset of quantum mechanics, it was argued that the new theory would entail a rejection of classical logic. The main arguments to support this claim come from the non-commutativity of quantum observables, which allegedly would generate a non-distributive lattice of propositions, and from quantum superpositions, which would entail new rules for quantum disjunctions. While the quantum logic program is not as popular as it once was, a crucial question remains unsettled: what is the relationship between the logical structures (...) of classical and quantum mechanics? In this essay we answer this question by showing that the original arguments promoting quantum logic contain serious flaws, and that quantum theory does satisfy the classical distributivity law once the full meaning of quantum propositions is properly taken into account. Moreover, we show that quantum mechanics can generate a distributive lattice of propositions, which, unlike the one of quantum logic, includes statements about expectation values which are of undoubtable physical interest. Lastly, we show that the lattice of statistical propositions in classical mechanics follows the same structure, yielding an analogue non-commutative sublattice of classical propositions. This fact entails that the purported difference between classical and quantum logic stems from a misconstructed parallel between the two theories. (shrink)

At the beginning of the 20th century, Gestalt psychologists put forward the concept of psychoneural isomorphism, which was meant to replace Fechner’s obscure notion of psychophysical parallelism and provide a heuristics that may facilitate the search for the neural correlates of the mind. However, the concept has generated much confusion in the debate, and today its role is still unclear. In this contribution, I will attempt a little conceptual spadework in clarifying the concept of psychoneural isomorphism, focusing exclusively on conscious (...) visual perceptual experience and its neural correlates. Firstly, I will outline the history of our concept, and its alleged metaphysical and epistemic roles. Then, I will clarify the nature of isomorphism and rule out its metaphysical role. Finally, I will review some epistemic roles of our concept, zooming in on the work of Jean Petitot, and suggest that it does not play a relevant heuristic role. I conclude suggesting that psychoneural isomorphism might be an indicator of robustness for certain mathematical descriptions of perceptual content. (shrink)

The ecofeminist argument for veganism is powerful. Meat consumption is a deeply gendered act that is closely tied to the systematic objectification of women and nonhuman animals. I worry, however, that presenting veganism as "the" moral ideal might reinforce rather than alleviate the disordered status quo in gendered eating, further disadvantaging women in patriarchal power structures. In this chapter, I advocate a feminist account of ethical eating that treats dietary choices as moral choices insofar as they constitute an integral part (...) of our relationships to ourselves and to others. I believe that we should think of dietary choices in Aristotelian moral terms as a mean relative to us, falling on a continuum between the vice of doing injustice to ourselves, on the one hand, and the vice of doing injustice to others, on the other. On this view, what it is moral to eat for individuals is not a fixed ideal, but rather depends on particulars of our physiological, psychological, economic, cultural, and relational situations. (shrink)

Alcune delle principali categorie politiche che hanno accompagnato l'evoluzione del pensiero e della prassi della rivoluzione e del conflitto.

We discuss central aspects of history of the concept of an affine differentiable manifold, as a proposal confirming the need for using some quantitative methods (drawn from elementary Model Theory) in Mathematical Historiography. In particular, we prove that this geometric structure is a syntactic rigid designator in the sense of Kripke-Putnam.

This paper is an attempt to clear some philosophical questions about the nature of logic by setting up a mathematical framework. The notion of congruence in logic is defined. A logical structure in which there is no non-trivial congruence relation, like some paraconsistent logics, is called simple. The relations between simplicity, the replacement theorem and algebraization of logic are studied (including MacLane-Curry’s theorem and a discussion about Curry’s algebras). We also examine how these concepts are related to such notions as (...) semantics, truth-functionality and bivalence. We argue that a logic, which is simple, can deserve the name logic and that the opposite view is connected with a reductionist perspective (reduction of logic to algebra). (shrink)

Night: The presence of the absence, the dissolution of the person in the night, the horror of being, the reality of the unreal, it takes us more to the absence of God than to God, to the absence of every entity. Dawn: Not being conscious of the existence of that unchangeable supposed centre of the person within time does not mean that we cannot be able to explain the not static changeable and relational personal identity in other ways. Day: It (...) is me who flows, but I am not in the flow like a support from where life flows, I am flowing in my own reality. This is not similar to an egology, it does not mean that everything exists and is loved to me, but it does mean that everything is seen and loved for me. (shrink)

This paper began as a generalization of a part of the author's PhD thesis about ACFA and ended up with a characterization of groups definable in T A . The thesis concerns minimal formulae of the form x ∈ A ∧ σ(x) = f(x) for an algebraic curve A and a dominant rational function f: A → σ(A). These are shown to be uniform in the Zilber trichotomy, and the pairs (A, f) that fall into each of the three cases (...) are characterized. These characterizations are definable in families. This paper covers approximately half of the thesis, namely those parts of it which can be made purely model-theoretic by moving from ACFA, the model companion of the class of algebraically closed fields with an endomorphism, to T A , the model companion of the class of models of an arbitrary totally-transcendental theory T with an injective endomorphism, if this model-companion exists. A T A analog of the characterization of groups definable in ACFA is obtained in the process. The full characterization of the cases of the Zilber trichotomy in the thesis is obtained from these intermediate results with heavy use of algebraic geometry. (shrink)

In this double-volume work, a great modern philosopher propounds a system of thought in which Einstein's theory of relativity represents only the latest (albeit the most radical) fulfillment of the motives inherent to mathematics and the physical sciences. In the course of its exposition, it touches upon such topics as the concept of number, space and time, geometry, and energy; Euclidean and non-Euclidean geometry; traditional logic and scientific method; mechanism and motion; Mayer's methodology of natural science; Richter's definite proportions; relational (...) concepts and the activity of the ego; Einstein's relativity and "reality"; and the philosophical concept of truth and its role in relativity theory. 1923 edition. (shrink)

Kniha, jako je tato, nemůže být tak docela dílem jediného člověka. Dovést ji do podoby koherentního celku bych nedokázal bez pomoci svých kolegů, kteří po mně text četli a upozornili mě na spoustu chyb a nedůsledností, které se v něm vyskytovaly. Můj dík v tomto směru patří zejména Vojtěchu Kolmanovi, Liboru Běhounkovi a Martě Bílkové. Za připomínky k různým částem rukopisu jsem vděčen i Pavlu Maternovi, Milanu Matouškovi, Prokopu Sousedíkovi, Vladimíru Svobodovi, Petru Hájkovi a Grahamu Priestovi. Kniha vznikla v rámci (...) projektu podpořeného grantem AV ČR číslo A0009001/00. (shrink)

The problem of how to remove information from an agent's stock of beliefs is of paramount concern in the belief change literature. An inquiring agent may remove beliefs for a variety of reasons: a belief may be called into doubt or the agent may simply wish to entertain other possibilities. In the prominent AGM framework for belief change, upon which the work here is based, one of the three central operations, contraction, addresses this concern (the other two deal with the (...) incorporation of new information). Makinson has generalised this work by introducing the notion of a withdrawal operation. Underlying the account proffered by AGM is the idea of rational belief change. A belief change operation should be guided by certain principles or integrity constraints in order to characterise change by a rational agent. One of the most noted principles within the context of AGM is the Principle of Informational Economy. However, adoption of this principle in its purest form has been rejected by AGM leading to a more relaxed interpretation. In this paper, we argue that this weakening of the Principle of Informational Economy suggests that it is only one of a number of principles which should be taken into account. Furthermore, this weakening points toward a Principle of Indifference. This motivates the introduction of a belief removal operation that we call severe withdrawal. We provide rationality postulates for severe withdrawal and explore its relationship with AGM contraction. Moreover, we furnish possible worlds and epistemic entrenchment semantics for severe withdrawals. (shrink)

Una perspectiva reciente sobre los fundamentos normativos del derecho público ha propuesto concebir las relaciones entre ciudadanía y Estado como una “relación fiduciaria”, usando deberes fiduciarios del ámbito iusprivado para justificar limitaciones jurídicas y morales al poder del Estado. La gobernanza fiduciaria también ha sido señalada como una característica distintiva del republicanismo y la soberanía popular, ya que sitúa a la comunidad política como fideicomitente y beneficiaria de cualquier acto administrativo. En este artículo se revisan algunas concepciones protomodernas del gobierno (...) considerando sus justificaciones explícitamente fiduciarias. Concluye con una interpretación fiduciaria del iusnaturalismo Leveller, especialmente necesario para entender la relación de la gobernanza fiduciaria con la democracia. A recent perspective on the normative foundations of public law has proposed to conceive citizen-state relationships as a “fiduciary relationship”, using private-law fiduciary duties to justify legal and moral constrains on state power. Fiduciary governance has also been pointed as a distinct feature of republicanism and popular sovereignty, since it places the political community as trustor and beneficiary of any administrative act. This paper reviews some early modern conceptions of government considering their explicit fiduciary justifications. It concludes with a fiduciary account of Leveller natural law, especially needed to understand the relationship between fiduciary governance and democracy. (shrink)

El terrorismo de la RAF significó el reto más importante al que se tuvo que enfrentar el orden político y económico alemán después de la segunda guerra mundial. El fenómeno es incomprensible si no pone en relación con su enorme presencia y repercusión mediáticas. Éste fue el punto de partida de una exposición que reunió las obras de tres generaciones de artistas que se han ocupado de reflexionar sobre la historia de la RAF.

The theory of valued difference fields (K, σ, υ) depends on how the valuation υ interacts with the automorphism σ. Two special cases have already been worked out - the isometric case, where υ(σ(x)) = υ(x) for all x Î G has been worked out by Luc Belair, Angus Macintyre and Thomas Scanlon; and the contractive case, where υ(σ(x)) > nv(x) for all x Î K x with υ(x) > 0 and n Î N, has been worked out by Salih (...) Azgin. In this paper we deal with a more general version, the multiplicative case, where υ(σ(x)) = p · υ(x), where p (> 0) is interpreted as an element of a real-closed field. We give an axiomatization and prove a relative quantifier elimination theorem for this theory. (shrink)

In this paper we introduce the notion of a set algebra S satisfying a system E of equations. After defining a notion of freeness for such algebras, we show that, for any system E of equations, set algebras that are free in the class of structures satisfying E exist and are unique up to a bisimulation. Along the way, analogues of classical set-theoretic and algebraic properties are investigated.

In 1936, Frank Macfarlane Burnet published a paper entitled "Induced lysogenicity and the mutation of bacteriophage within lysogenic bacteria," in which he demonstrated that the introduction of a specific bacteriophage into a bacterial strain consistently and repeatedly imparted a specific property – namely the resistance to a different phage – to the bacterial strain that was originally susceptible to lysis by that second phage. Burnet's explanation for this change was that the first phage was causing a mutation in the bacterium (...) which rendered it and its successive generations of offspring resistant to lysogenicity. At the time, this idea was a novel one that needed compelling evidence to be accepted. While it is difficult for us today to conceive of mutations and genes outside the context of DNA as the physico-chemical basis of genes, in the mid 1930s, when this paper was published, DNA's role as the carrier of hereditary information had not yet been discovered and genes and mutations were yet to acquire physical and chemical forms. Also, during that time genes were considered to exist only in organisms capable of sexual modes of replication and the status of bacteria and viruses as organisms capable of containing genes and manifesting mutations was still in question. Burnet's paper counts among those pieces of work that helped dispel the notion that genes, inheritance and mutations were tied to an organism's sexual status. In this paper, I analyze the implications of Burnet's paper for the understanding of various concepts – such as "mutation," and "gene," – at the time it was published, and how those understandings shaped the development of the meanings of these terms and our modern conceptions thereof. (shrink)

In this paper we develop an abstract theory of adequacy. In the same way as the theory of consequence operations is a general theory of logic, this theory of adequacy is a general theory of the interactions and connections between consequence operations and its sound and complete semantics. Addition of axioms for the connectives of propositional logic to the basic axioms of consequence operations yields a unifying framework for different systems of classical propositional logic. We present an abstract model-theoretical semantics (...) based on model mappings and theory mappings. Between the classes of models and theories, i.e., the set of sentences verified by a model, it obtains a connection that is well-known within algebra as Galois correspondence. Many basic semantical properties can be derived from this observation. A sentence A is a semantical consequence of T if every model of T is also a model of A. A model mapping is adequate for a consequence operation if its semantical inference operation is identical with the consequence operation. We study how properties of an adequate model mapping reflect the properties of the consequence operation and vice versa. In particular, we show how every concept of the theory of consequence operations can be formulated semantically. (shrink)

The aim of this paper is to consider the standard objections put against the construction of metanarratives in the philosophy of history. The author distinguishes following intelectual sources questioning the grasp of Entirety in the philosophy of history: anti-naturalistic German philosophy of science, dogmatic Marxism, liberalism and postmodernism. Analysis of the content of these stances allows for disclose of hidden methodological and theoretical premises which are responsible for misunderstanding and critique of the historiosophical discourse.

Philosophers cannot agree on whether the rule of Countable Additivity should be an axiom of probability. Edwin T. Jaynes attacks the problem in a way which is original to him and passed over in the current debate about the principle: he says the debate only arises because of an erroneous use of mathematical infinity. I argue that this solution fails, but I construct a different argument which, I argue, salvages the spirit of the more general point Jaynes makes. I argue (...) that in Jaynes’s objective Bayesianism we might have good reasons to adopt Countable Additivity, and some of the major problems this adoption is known to entail need not worry us. In particular, I propose to adopt this new angle on Countable Additivity in Jon Williamson’s version of objective Bayesianism. (shrink)

Adorno had such an affinity for Beckett that he dedicated his posthumously published work, Aesthetic Theory, to him. In 1961, he wrote a thoughtful—if dizzyingly complex—tribute to Beckett’s play, Endgame, a work that models many aspects of Adorno’s cultural criticism. My aim, accordingly, is to offer an Adornian reading of Beckett’s Waiting for Godot by drawing upon his critiques of music, aesthetics, and the culture industry. My goal is twofold: to offer a refreshing analysis of one of the most significant (...) dramatic achievements of the twentieth century, and, in doing so, to demonstrate Adorno’s relevance to contemporary cultural studies by deploying multiple elements of his oeuvre. (shrink)

Current orthodoxy in research ethics assumes that subjects of clinical trials reserve rights to withdraw at any time and without giving any reason. This view sees the right to withdraw as a simple extension of the right to refuse to participate all together. In this paper, however, I suggest that subjects should assume some responsibilities for the internal validity of the trial at consent and that these responsibilities should be captured by contract. This would allow the researcher to impose a (...) penalty on the subject if he were to withdraw without good reason and on a whim. This proposal still leaves open the possibility of withdrawing without penalty when it is in the subject's best interests to do so. Giving researchers recourse to legal remedy may now be necessary to protect the science, as existing methods used to increase retention are inadequate for one reason or another. (shrink)

Las más elementales exigencias de rigor crítico e independencia siguen a menudo sin cumplirse hoy en día en la reconstrucción histórica de la figura del judío Yeshua ben Yosef, en parte porque el carácter inconsistente de las fuentes evangélicas no es tomado en serio. El presente artículo analiza las incongruencias de los relatos de la pasión, muestra en ellos los indicios de un proceso de despolitización, y señala el carácter insostenible de varias afirmaciones clave de muchos historiadores contemporáneos sobre el (...) predicador galileo. (shrink)

Wedderburn showed in 1905 that finite fields are commutative. As for infinite fields, we know that superstable (Cherlin, Shelah) and supersimple (Pillay, Scanlon, Wagner) ones are commutative. In their proof, Cherlin and Shelah use the fact that a superstable field is algebraically closed. Wagner showed that a small field is algebraically closed , and asked whether a small field should be commutative. We shall answer this question positively in non-zero characteristic.

Let L be one of the intuitionistic modal logics considered in [4]. As in the classical modal case (see [7]), we define two different forms of the Beth property for L, which are denoted by B 1 and B 2 ; in this paper we study the relation among B 1 ,B 2 and the interpolation properties C 1 and C 2 , introduced in [4]. It turns out that C 1 implies B 1 , but contrary to the boolean (...) case, is not equivalent to B 1 . It is shown that B 2 and C 2 are independent, and moreover it comes out that, in contrast to classical case, there exists an extension of the intuitionistic modal logic of S 4 -type, that has not the property B 2 . Finally we give two algebraic properties, that characterize respectively B 1 and B 2. (shrink)

Given a physical system, one knows that there is a logical duality between its properties and its states. In this paper, we choose its states as the undefined notions of our axiomatic construction. In fact, by means of well-motivated assumptions expressed in terms of a transition probability function defined on the set of all pure states of the system, we construct a system of elementary propositions, i.e., a complete orthomodular atomic lattice satisfying the covering law. We also study in this (...) framework the important notion of compatibility of propositions, and we define the superpositions and the mixtures of the states of the physical system. (shrink)

Is logic, feasibly, a product of natural selection? In this paper we treat this question as dependent upon the prior question of where logic is founded. After excluding other possibilities, we conclude that logic resides in our language, in the shape of inferential rules governing the logical vocabulary of the language. This means that knowledge of (the laws of) logic is inseparable from the possession of the logical constants they govern. In this sense, logic may be seen as a product (...) of natural selection: the emergence of logic requires the development of creatures who can wield structured languages of a specific complexity, and who are capable of putting the languages to use within specific discursive practices. (shrink)

ABSTRACT The aim of this paper is to discuss how Bruno Bauch deals with the problem of the coordination between empirical concepts and spatiotemporal objects. We shall argue that Bauch reformulates the Kantian distinction between concepts and intuitions by means of a philosophical consideration of differential calculus and that he thereby explains the possibility of such coordination, avoiding certain difficulties of the Kantian doctrine. RESUMO O propósito deste trabalho é discutir como o neokantismo de Bruno Bauch trabalha o problema da (...) coordenação de conceitos e objetos espaço-temporais. Sustentaremos que Bauch reformula a distinção kantiana de conceitos e intuições mediante uma consideração filosófica do cálculo diferencial e que, assim, explica a possibilidade de tal coordenação, evitando certas dificuldades da doutrina de Kant. (shrink)

The Sparse, Distributed Memory (SDM) model (Kanerva, 1984) is compared to Hopfield-type, neural-network models. A mathematical framework for comparing the two models is developed, and the capacity of each model is investigated. The capacity of the SDM can be increased independent of the dimension of the stored vectors, whereas the Hopfield capacity is limited to a fraction of this dimension. The stored information is proportional to the number of connections, and it is shown that this proportionality constant is the same (...) for the SDM, the Hopfield model, and higher-order models. The models are also compared in their ability to store and recall temporal sequences of patterns. The SDM also includes time delays so that contextual information can be used to recover sequences. A generalization of the SDM allows storage of correlated patterns. (shrink)

The U.S. Food and Drug Administration's rationale for supporting the development and approval of BiDil for heart failure specifically in black patients was based on under-powered, post hoc subgroup analyses of two relatively old trials , which were further complicated by substantial covariate imbalances between racial groups. Indeed, the only statistically significant difference observed between black and white patients was found without any adjustment for potential confounders in samples that were unlikely to have been adequately randomized. Meanwhile, because the accepted (...) baseline therapy for heart failure has substantially improved since these trials took place, their results cannot be combined with data from the more recent trial amongst black patients alone. There is therefore little scientific evidence to support the approval of BiDil only for use in black patients, and the FDA's rationale fails to consider the ethical consequences of recognizing racial categories as valid markers of innate biological difference, and permitting the development of group-specific therapies that are subject to commercial incentives rather than scientific evidence or therapeutic imperatives. This paper reviews the limitations in the scientific evidence used to support the approval of BiDil only for use in black patients; calls for further analysis of the V-HeFT I and II data which might clarify whether responses to H-I vary by race; and evaluates the consequences of commercial incentives to develop racialized medicines. We recommend that the FDA revise the procedures they use to examine applications for race-based therapies to ensure that these are based on robust scientific claims and do not undermine the aims of the 1992 Revitalization Act. (shrink)

Arnold Geulincx, podobnie jak reprezentowany przez niego nurt siedemnastowiecznego okazjonalizmu, został odsunięty na margines filozofii i znany jest współcześnie właściwie tylko historykom filozofii. A jednak w swoich osobistych filozoficznych lekturach sięgnął po niego Samuel Beckett, wybitny pisarz i dramaturg. Świadectwem spotkania Becketta z myślą Geulincxa są notatki pozostawione z lektury Etyki Geulincxa oraz wzmianki o nim samym, a przede wszystkim nawiązania do poglądów i porównań eksplikacyjnych Geulincxa w prozie Becketta, jak na przykład, w powieściach: Murphy, Molloy czy noweli Koniec. Przypomnienie (...) o tej inspiracji Becketta myślą Geulincxa wraz z analizą sposobu odczytania i wykorzystania przez niego słów i obrazów filozofa stanowi przedmiot rozważań w niniejszym tekście. (shrink)