Son compatibles la liberdad, la egualdad y la democracia? Si pero no bajo el capitalismo”[“Are Liberty, Equality and Democracy Compatible? Yes, But Not Under Capitalism”].

This work extend to residuated lattices the results of [ 7 ]. It also provides a possible generalization to this context of frontal operators in the sense of [ 9 ]. Let L be a residuated lattice, and f : L k → L a function. We give a necessary and sufficient condition for f to be compatible with respect to every congruence on L . We use this characterization of compatible functions in order to prove that the variety of (...) residuated lattices is locally affine complete. We study some compatible functions on residuated lattices which are a generalization of frontal operators. We also give conditions for two operations P ( x , y ) and Q ( x , y ) on a residuated lattice L which imply that the function $${x \mapsto min\{y \in L : P(x, y) \leq Q(x, y)\}}$$ when defined, is equational and compatible. Finally we discuss the affine completeness of residuated lattices equipped with some additional operators. (shrink)

We offer a variant of the intrinsic definition of compatibility in logics. We shown that any compatible subset can be embedded into a Boolean σ-algebra, we show how the algebra is constructed, and we demonstrate that our definition cannot be weakened unless we put additional assumptions on the logic.

A compatible statistical interpretation of a wave packet is proposed. De Broglian probabilities which unite wave and particle features of quantons are evaluated for free wave packets and Jor a superposition of wave packets. The obtained expressions provide a very plausible and physically appealing explanation of coherence in apparently incoherent beams and of the characteristic modulation of the momentum distribution, found recently in neutron interferometry combined with spectral filtering. Certain conclusions about dualism and objectivity in quantum domain are also derived.

The notion of relative compatibility of observables is treated and its relation to the existence of joint distributions is obtained. The case of conventional quantum mechanics is studied and a generalization to the case of the quantum logic approach to quantum mechanics is given. It is shown that relative compatibility is equivalent to the existence of so-called “type 1” joint distributions.

To evoke the impression of movement in the “immobile” image is one of the central motivations of the visual art, and the activating effect of images has been discussed in art psychology already some hundred years ago. However, this topic has up to now been largely neglected by the researchers in cognitive psychology and neuroscience. This study investigates – from an interdisciplinary perspective – the formation of lateralised instances of motion when an observer perceives movement in an image. A first (...) step was to identify images that evoke a perception of movement in a certain direction and to give this a rating. Reaction times leading to the engagement of a joystick following the presentation of images are used to evidence the postulated movement occasioned by the perception of movement in an image. Where the required direction of joystick moves matched the expected perception of movement direction in the image, considerably shorter reaction times were recorded. The experiment was able to prove a “movement-image compatibility effect” in observers of images. Based on this, the paper revisits and brings up to date the theses on motor sensory response to images which were developed in art psychology at the beginning of the 20th century. It furthermore contributes an embodiment theory interpretation to the prevalent representational explanation of compatibility effects. (shrink)

The compatibility of evolution with Aristotelian-Thomistic metaphysics is defended in response to Fr. Michal Chaberek’s thesis of incompatibility. The motivation and structure of Darwin’s theory are reviewed, including the roles of secondary causality, randomness and necessity. “Randomness” is an analogous term whose evolutionary use, while challenging, is fully compatible with theism. Evolution’s necessity derives from the laws of nature, which are intentional realities, the vehicle of divine providence. Methodological analysis shows that metaphysics lacks the evidentiary basis to judge biological (...) theories. Species are entia rationis whose immutability does not conflict with the evolutionary succession of biological populations. While Darwin’s theory was unknown to Aquinas, he endorses the possibility of new species immanent in the initial state of the universe, nor does his understanding of exemplar ideas offer ground for objection. Finally, five arguments given by Fr. Chaberek are answered. (shrink)

This essay shows that comparable notions of humanism emerged independently in two twentieth-century scholars, Yuen Ren Chao (1892–1982) and George Sarton (1884–1956). They met as young men at Harvard University and found themselves to be compatible thinkers. They both respected the so-called facts of science, perhaps more than theories in science. They saw their task as assembling these facts for a future synthesis. They recognized the diversity of the world’s civilizations, and they actively participated in trying to unite scholars of (...) good will. At the end of their lives, they remained optimistic about the future of humanity. (shrink)

In this paper, we study three representations of lattices by means of a set with a binary relation of compatibility in the tradition of Ploščica. The standard representations of complete ortholattices and complete perfect Heyting algebras drop out as special cases of the first representation, while the second covers arbitrary complete lattices, as well as complete lattices equipped with a negation we call a protocomplementation. The third topological representation is a variant of that of Craig, Haviar, and Priestley. We (...) then extend each of the three representations to lattices with a multiplicative unary modality; the representing structures, like so-called graph-based frames, add a second relation of accessibility interacting with compatibility. The three representations generalize possibility semantics for classical modal logics to non-classical modal logics, motivated by a recent application of modal orthologic to natural language semantics. (shrink)

Rich sensorimotor interaction facilitates language learning and is presumed to ground conceptual representations. Yet empirical support for early stages of embodied word learning is currently lacking. Finding evidence that sensorimotor interaction shapes learned linguistic representations would provide crucial support for embodied language theories. We developed a gamified word learning experiment in virtual reality in which participants learned the names of six novel objects by grasping and manipulating objects with either their left or right hand. Participants then completed a word–color match (...) task in which they were tested on the same six words and objects. Participants were faster to respond to stimuli in the match task when the response hand was compatible with the hand used to interact with the named object, an effect we refer to as affordance compatibility. In two follow up experiments, we found that merely observing virtual hands interact with the objects was sufficient to acquire a smaller affordance compatibility effect, and we found that the compatibility effect was driven primarily by responses with a compatible hand and not by responses in a compatible spatial location. Our results support theoretical views of language which ground word representations in sensorimotor experiences, and they suggest promising future routes to explore the sensorimotor foundations of higher cognition through immersive virtual experiments. (shrink)

_Since arguably Bodhisattva Practice (bodhisattva-carya) is the foundation of Mahayana Buddhist ethics, it is significantly important for Bodhisattva compassion to be compatible with other Buddhist doctrines, specifically with the doctrine of 'no-self ' (anatta). There are two thoughts on the relation between compassion and 'no-self ': they are compatible or incompatibility. Most Buddhist authors accept the former view. However, the principal problem with the two views is that their arguments have not been singled out. So the acceptance or denial of (...) the compatibility may not be well grounded. This paper is to identify and evaluate the arguments for and against the agreeability, and to defend the compatible view_. (shrink)

It is not easy to be a materialist and yet believe that there is a way for human beings to survive death. Peter van Inwagen identifies the central obstacle the materialist faces: Namely, the need to posit appropriate “immanent-causal” connections between my body as it is at death and some living body elsewhere or elsewhen. I offer a proposal, consistent with van Inwagen’s own materialist metaphysics, for making materialism compatible with the possibility of survival.

We study some operations that may be defined using the minimum operator in the context of a Heyting algebra. Our motivation comes from the fact that 1) already known compatible operations, such as the successor by Kuznetsov, the minimum dense by Smetanich and the operation G by Gabbay may be defined in this way, though almost never explicitly noted in the literature; 2) defining operations in this way is equivalent, from a logical point of view, to two clauses, one corresponding (...) to an introduction rule and the other to an elimination rule, thus providing a manageable way to deal with these operations. Our main result is negative: all operations that arise turn out to be Heyting terms or the mentioned already known operations or operations interdefinable with them. However, it should be noted that some of the operations that arise may exist even if the known operations do not. We also study the extension of Priestley duality to Heyting algebras enriched with the new operations. (shrink)

It is initially odd to ask whether Confucianism is compatible with systems of law. Confucian thought has co-existed with Chinese legal systems throughout the various dynasties of China’s long history. Nevertheless, despite the extensive laws that China has boasted, traditional Chinese legal thought is not typically recognized as a genuine rule-of-law system, given its focus on moral development and the “rule of man.” In this essay, we argue that Confucianism, specifically Pre-Qin Confucianism, is compatible with the rule-of-law. We examine the (...) different models of compatibility, including “soft compatibilism” in which we examine whether abstract concepts between Confucianism and legal systems are compatible, as well as co-existing and integrating compatibilism. Co-existing compatibilism sees Confucianism and the law occupying different spheres within the same legal system while integrating compatibilism sees Confucianism and the law coming together into a new system. In this way, Confucianism offers China an alternative to liberal democratic and Marxist theories of law. (shrink)

This book challenges the widespread assumption of the incompatibility of evolution and the biological design argument. Kojonen analyzes the traditional arguments for incompatibility, and argues for salvaging the idea of design in a way that is fully compatible with evolutionary biology. Relating current views to their intellectual history, Kojonen steers a course that avoids common pitfalls such as the problems of the God of the gaps, the problem of natural evil, and the traditional Humean and Darwinian critiques. The resulting deconstruction (...) of the opposition between evolution and design has the potential to transform this important debate. (shrink)

Vertical/compatible theoretical integration provides an alternative way of unifying sociocultural anthropology and related disciplines. It involves analyzing theoretical statements for their implicit and explicit assumptions at multiple levels of analysis and then determining whether these assumptions are compatible with consensus in the relevant disciplines (e.g., does the sociological theory include an assumption at odds with consensus psychology?). Incompatibilities indicate a need for further research. This approach is much more likely to salvage the bulk of humanities-oriented anthropology than is that of (...) the authors. (Published Online November 9 2006). (shrink)

Let τ : F → N be a type of a variety V . Every partition Pof the set F determines a so-called P-compatible variety. We consider thevarieties GnP defined by so-called P-compatible identities of Abelian groupswith exponent n. Besides, we study a connection between the lattice of allpartitions of the set F and the lattice of all subvarieties of the variety definedby some kind of P-compatible identities — externally compatible identitiessatisfied in the class of all Abelian groups with exponent (...) n. (shrink)

Taking a well-known passage from the third volume of Capital as my starting point, I explain on what grounds Marx thinks that freedom and necessity will be compatible in a communist society. The necessity in question concerns having to produce to satisfy material needs. Unlike some accounts of this issue, I argue that the compatibility of freedom and necessity in communist society has more to do with how production is organized than with the direct relation of the worker to (...) the object produced or to his or her own productive activity. Moreover, I show how self-realization and a form of activity that possesses an intrinsic value are made possible by the organization of the production process and how this is integral to Marx's account of the compatibility of freedom and necessity in communist society. (shrink)

It is shown that the well-known disparity in classical electrodynamics between the power losses calculated from the radiation reaction and that from Larmor’s formula, is succinctly understood when a proper distinction is made between quantities expressed in terms of a “real time” and those expressed in terms of a retarded time. It is explicitly shown that an accelerated charge, taken to be a sphere of vanishingly small radius \, experiences at any time a self-force proportional to the acceleration it had (...) at a time \ earlier, while the rate of work done on the charge is obtained by a scalar product of the self-force with the instantaneous value of its velocity. Now if the retarded value of acceleration is expressed in terms of the present values of acceleration, then we get the rate of work done according to the radiation reaction equation, however if we instead express the present value of velocity in terms of its time-retarded value, then we get back the familiar Larmor’s radiation formula. From this simple relation between the two we show that they differ because Larmor’s formula, in contrast with the radiation reaction, is written not in terms of the real-time values of quantities specifying the charge motion but is instead expressed in terms of the time-retarded values. Moreover, it is explicitly shown that the difference in the two formulas for radiative power loss exactly matches the difference in the temporal rate of the change of energy in the self-fields between the retarded and real times. From this it becomes obvious that the ad hoc introduction of an acceleration-dependent energy term, usually referred to in the prevalent literature as Schott-term, in order to make the two formulas comply with each other, is redundant. (shrink)

This paper presents a unified framework that explains and extends the already successful applications of the Leibniz operator, the Suszko operator, and the Tarski operator in recent developments in abstract algebraic logic. To this end, we refine Czelakowski’s notion of an S-compatibility operator, and introduce the notion of coherent family of S-compatibility operators, for a sentential logic S. The notion of coherence is a restricted property of commutativity with inverse images by surjective homomorphisms, which is satisfied by both (...) the Leibniz and the Suszko operators. We generalize several constructions and results already existing for the mentioned operators; in particular, the well-known classes of algebras associated with a logic through each of them, and the notions of full generalized model of a logic and a special kind of S-filters. We obtain a General Correspondence Theorem, extending the well-known one from the theory of protoalgebraic logics to arbitrary logics and to more general operators, and strengthening its formulation. We apply the general results to the Leibniz and the Suszko operators, and obtain several characterizations of the main classes of logics in the Leibniz hierarchy by the form of their full generalized models, by old and new properties of the Leibniz operator, and by the behaviour of the Suszko operator. Some of these characterizations complete or extend known ones, for some classes in the hierarchy, thus offering an integrated approach to the Leibniz hierarchy that uncovers some new, nice symmetries. (shrink)

ABSTRACTThe guiding question of this comparative study is the relation between transcendental theory and common-sense realism: how to understand their compatibility, but also possible tensions between the two. This question concerns, in a broader sense, the relation between philosophy and natural life, or more precisely, what philosophy possibly can and cannot do for natural life. In the following discussion, I first introduce the idealism-realism controversy in Husserl’s transcendental phenomenology. I then move on to McDowell’s theory and look into a (...) significant convergence between the two philosophies, namely, their insistence on the “unboundedness” of subjectivity, and I clarify how this shared viewpoint makes their proposals compatible with common-sense realism. In a third section, I elaborate the relation between a transcendental and a natural stance by turning to Husserl’s method of phenomenological reduction. In the end, by attending to the anti-naturalism of Husserl and McDowell, I wish to shed s... (shrink)

In [4] the lattice of all subvarieties of the variety G n Ex defined by so called externally compatible identities of Abelian groups together with the identity x n ≈ y n , for any n ∈ N and n ≥ 1 was described. In that paper classes of models of the type (2,1) where considered. It appears that diagrams of lattices of subvariaties defined by externally compatible identities satisfied in a given equational theory depend on the language of the (...) considered class of algebras. A question was asked to what extent the diagram of the lattice of subvarieties of the variety defined by externally compatible identities of a given variety will depend on changing the type of algebras. In general case, the answer to this question seems to be very complicated. In this paper we describe the variety of Abelian groups of exponent p·q, where p,q are different primes of type (2,1,0). (shrink)

ABSTRACTI draw connections between Hegel’s concepts of recognition and morality and demonstrate how they are compatible with an ethic of care. I explore Hegel’s Sittlichkeit and demonstrate the rol...

The purpose of this study is to investigate a relationship between egalitarian equivalence and envy-freeness in a continuum-agent economy, where tastes vary continuously across individuals. Under efficiency, the two criteria of equity are not compatible, except in the knife-edge case. In particular, when individual utility functions are restricted to the class of Cobb–Douglas-type functions, there exists an efficient, egalitarian-equivalent, and envy-free allocation if and only if all individuals have the same taste over commodities.

The notion of relative compability is introduced, according to which compatibility is construed as relative to individual quantum states. The compatibility domain of two observablesA, B is defined to be the set com(A, B) of states relative to whichA andB are compatible. Three basic categories of relative compatibility are then defined according to the character of com(A, B): absolute compatibility (ordinary compatibility), absolute incompatibility, and partial compatibility. Then com(A, B) is seen to be a (...) subspace of Hilbert space invariant underA andB; being a subspace, it corresponds to a quantum binary observable (projection), denotedc(A, B). IfA andB are themselves binary observables, thenc(A, B) is expressible as a quantum logical compound ofA andB using the lattice operations meet, join, and orthocomplement. This suggests extending the notion of relative compatibility to the theory of orthomodular lattices, as well as to more general lattice-theoretic formulations of quantum mechanics. (shrink)

This is the first full-length survey of current work which examines the compatibility of microeconomics and macroeconomics. Its particular distinction is that it makes accessible, to non-specialists, those extensive modern refinements of general equilibrium theory which are linked to macroeconomics and monetary theory. Part I traces the development and interlocking nature of two scientific research prgrams, macroeconomics and neo-Walrasian analysis. The five chapters in this part examine general equilibrium theory, Keynes' contribution, the 'neoclassical synthesis', and the Clower–Leijonhufvud contributions to (...) questions of systemic coordination. The four chapters of Part II place recent work on the micro-foundations of macroeconomics within a taxonomic scheme of Walrasian equilibrium, Walrasian disequilibrium, Edgeworthian equilibrium, and Edgeworthian disequilibrium. Part III, a single chapter, provides an overview of the subject and ventures some conclusions. (shrink)

Let L be a commutative residuated lattice and let f : Lk → L a function. We give a necessary and sufficient condition for f to be compatible with respect to every congruence on L. We use this characterization of compatible functions in order to prove that the variety of commutative residuated lattices is locally affine complete. Then, we find conditions on a not necessarily polynomial function P(x, y) in L that imply that the function x ↦ min{y є L (...) | P(x, y) ⪯ y} is compatible when defined. In particular, Pn(x, y) = yn → x, for natural number n, defines a family, Sn, of compatible functions on some commutative residuated lattices. We show through examples that S1> and S2, defined respectively from P1 and P2, are independent as operations over this variety; i.e. neither S1 is definable as a polynomial in the language of L enriched with S2 nor S2 in that enriched with S1. (shrink)

When participants are asked to make sensibility judgments on sentences that describe action toward the body (i.e., “Mark dealt the cards to you”) or away from the body (i.e., “You dealt the cards to Mark”), they are faster to respond when the response requires an arm movement in the same direction as the action described by the sentence. This congruence effect is known as the Action–Sentence Compatibility Effect (ACE). This study reports 4 experiments that extend our understanding of the (...) ACE by exploring how the time at which one prepares the motor response required for the sensibility judgment affects the magnitude of the ACE. Results show that the ACE arises only when participants have the opportunity to plan their motor response while they are processing the sentence. (shrink)

This paper argues that our current best cosmological theories, according to which cosmos is very big are compatible with all possible evidence. The problem is unrelated to the Quine-Duhem underdetermination thesis. The compatibility to which this paper draws attention is much more radical: it appears as if all of our best cosmological theories are perfectly probabilistically compatible with all possible evidence and that no empirical discovery could give us any reason whatever to favor one such theory over another. This (...) consequence is absurd. In order to create an evidential link between cosmological theory and observation, a new methodological principle is needed. A candidate for such a principle is proposed, using a Bayesian framework that takes account of observation selection effects. Various applications in other scientific fields are considered. (shrink)

Recent attacks on the compatibility of science and religion by the “militant modern atheists” have posed serious challenges for anyone who supports the human importance of religious faith. This article offers a critical analysis of their claims compared with those who do not equate faith with belief. I conclude that the militant modern atheist interpretation of faith undervalues transformative religious experiences, that more people of faith hold it for this reason than their opponents acknowledge, and that meaningful dialogue between (...) religion and science is both possible and desirable. (shrink)

El problema de la inconmensurabilidad y, en particular, el del progreso científico, está asociado a -dos nombres: Kuhn y Feyerabend, cuyas propuestas hicieron que muchos pusieran en duda la aparente evidencia del llamado “progreso científico, relativizando su validez a cada escuela o paradigma. En este escrito mostraremos que este tipo de relativismo epistémico — al igual que la teoría convergentista de la verdad — carecen de validez filosófica e histórica y de qué modo la idea de “progreso científico es compatible (...) con la tesis de la inconmensurabilidad más allá de las dificultades onto-semánticas que ella implica. Esto supone abandonar el llamado punto de vista enunciativo de las teorías científicas (centrado sobre sentencias o enunciados) y adoptar un punto de vista no-enunciativista (centrado sobre estructuras o sistemas donde la relación interteórica de aproximación permite subsumir diferentes casos de inconmensurablidad no triviales y validar en ellos la noción de progreso científico. (shrink)

The goal of this essay is to show the compatibility between two currents in Dostoevsky's world, namely, the religious and the nihilistic. Based on Nietzsche's theory of nihilism and Deleuze's interpretation of Nietzsche, I introduce a dynamic model – reactive nihilism – a destructive force that annihilates fading values to clear the way for the advent of a new value. Through the textual analysis, primarily focusing on the religious dimension presented by saintly characters and biblical intertextuality in The Brothers (...) Karamazov, this essay argues that Dostoevsky's two trends do not conflict at all, but express in a common dynamic model, that is reactive nihilism. (shrink)

In this paper I consider a recent argument of Timothy Williamson’s that epistemic internalism and content externalism are indeed incompatible, and since he takes content externalism to be above reproach, so much the worse for epistemic internalism. However, I argue that epistemic internalism, properly understood, remains substantially unaffected no matter which view of content turns out to be correct. What is key to the New Evil Genius thought experiment is that, given everything of which the inhabitants are consciously aware, the (...) two worlds are subjectively indistinguishable for them, which is what matters on internalist accounts of epistemic justification. I argue that even if a standard moral of the New Evil Genius intuition is untenable due to considerations arising from content externalism, the case can be understood as supporting epistemic internalism in a way that is wholly compatible with content externalism. In short, epistemic internalism is committed to sameness of justificatory status between subjectively indistinguishable counterparts, not sameness of content of their justifiers. (shrink)

We prove an indestructibility theorem for degrees of supercompactness that is compatible with level by level equivalence between strong compactness and supercompactness.