En este artículo se ofrece una visión de la biología sintética alternativa a los planteamientos ingenieriles que marcan gran parte de la agenda de investigación del campo. Nuestro análisis se centra en enfoques, teóricos y experimentales, cuyo objetivo fundamental es la comprensión del fenómeno de la vida per se. Una revisión detallada de varios casos de implementación artificial, in vitro, de sistemas químicos ‘auto-productivos’ nos ayudará a reflexionar sobre el enorme reto que supone transformar una disciplina científica eminentemente descriptiva, como (...) la biología, en un proyecto que incluya y potencie líneas de investigación basadas en la idea de síntesis o fabricación. El reto es mayúsculo debido al carácter intrínsecamente metabólico de los sistemas biológicos, lo cual hace que nuestro empeño en controlarlos o en construirlos de novo sea mucho más dificultoso, forzándonos a desarrollar plataformas de intervención/implementación a nivel molecular que no pongan en compromiso esa inherente dimensión autónoma de lo vivo. (shrink)

There is an increasing demand for ethical and Corporate Social Responsibility practices by companies. This competence has to be introduced in students’ training in business degree programs, and a check must then be done to determine if the students have come to appreciate the importance of CSR commitments. Using the framework of Stakeholders Theory, this work aims to examine students’ perceptions of ethical and CSR practices and commitment to different stakeholders, as well as the factors that lead students to act (...) in a socially responsible way. Furthermore, we hope to identify how the perception of CSR can be improved when Web 2.0 and social media tools that have proven effective in transmitting emotions and values are used in classrooms to teach these ideas. To this end, a survey was carried out in the year 2019 with 1,030 first-year students; it was administered at the beginning of the semester and also at the end of the semester after the training activities had been carried out. The main finding of the research is that students start with the belief that ethics and CSR are developed for reasons of image and legitimacy; however, after receiving training on these topics through tools that take into account emotions and values, they start to value the importance of the company as an agent of social change. The main practical and managerial implication is that methods based on Web 2.0 and social media tools are useful to teach ethics and CSR; the theoretical contribution is that students take into account the welfare of others. This finding contributes to Stakeholder Theory in a higher education context. (shrink)

The compulsive habit model proposed by Everitt and Robbins has accumulated important empirical evidence. One of their proposals is the existence of an axis, on which each a person with a particular addiction can be located depending on the evolutionary moment of his/her addictive process. The objective of the present study is to contribute in addressing the identification of such axis, as few studies related to it have been published to date. To do so, the use/abuse of Information and Communication (...) Technologies (ICT) was quantified on an initial sample of 807 subjects. Questionnaires were also delivered to measure impulsivity, compulsivity and symptoms of prefrontal dysfunction. Evidence of the existence of the proposed axis was obtained by means of Machine Learning techniques, thus allowing the classification of each subject along the continuum. The present study provides preliminary evidence of the existence of the Impulsivity-Compulsivity axis, as well as an IT tool so that each patient that starts getting treatment for an addiction can be statistically classified as “impulsive” or “compulsive.” This would allow the matching of each person with the most appropriate treatment depending on his/her moment in the addiction/abuse process, thus facilitating the individualized design of each therapeutic process and a possible improvement of the results of the treatment. (shrink)

The development of the Area of Freedom, Security and Justice has transformed the European Union and placed fundamental rights at the core of EU integration and its principles of mutual recognition and trust. The impact of the AFSJ in the development of an EU standard of fundamental rights, which has come to the fore since the Treaty of Lisbon, is a topic of great theoretical and practical importance. This is the first systematic academic study of the AFSJ and its implications (...) from the point of view of fundamental rights. The contributions to this collection examine the normative and jurisprudential development of the AFSJ in order to assess its effects on the overall construction of the scope and standards of protection of EU fundamental rights in this particularly complex and sensitive field of integration. The expert contributors systematically map and critically assess this area of EU law, together with the relevant case-law. (shrink)

El programa de investigación Naturaleza Humana 2.0, dirigido por la Profesora Camino Cañón, fue un proyecto de la Cátedra Ciencia, Tecnología y Religión, Escuela Técnica Superior de Ingeniería de la Universidad Comillas, Madrid. Concluyó con un Simposio del que parte de sus ponencias y comunicaciones son publicados en este número extraordinario de PENSAMIENTO, en la serie Ciencia, Filosofía y Religión, volumen VIII. Sara Lumbreras, Antonio Sánchez-Orantos y Clara Fernández Díaz-Rincón, presentan aquí una recapitulación de los contenidos de esta (...) Conferencia, que presentamos como una Crónica, que permitirá entender el sentido de algunos de los artículos anteriores. Con esta crónica concluimos. (shrink)

RESUMEN Introducción: La educación en el trabajo es la forma fundamental del proceso docente educativo en las carreras de las ciencias médicas y en específico para la asignatura de Medicina Comunitaria de la carrera de Medicina. Objetivo: Exponer elementos referidos a una guía didáctica para la educación en el trabajo de la asignatura Medicina Comunitaria. Método: Se diseñó una guía didáctica para la educación en el trabajo, desde la asignatura Medicina Comunitaria. Se interactuó con estudiantes de segundo año de la (...) carrera de Medicina, la cuak abarcó 4 etapas. Resultados: Se ofrecen las tareas con sus objetivos y acciones a cumplimentar por los estudiantes, amparados por la guía actual de confección del Análisis de la Situación de Salud. Conclusiones: La guía constituye una herramienta que posibilita la realización de las actividades de la educación en el trabajo a la vez que permite el logro de competencias profesionales. ABSTRACT Introduction: The education in the work is the fundamental form of the educational teaching process in the careers of the medical sciences and in specific for the subject of Community Medicine of the career of Medicine. Objective: To exhibit elements referred to a didactic guide for the education in the work of the Community Medicine subject. Method: A didactic guide was designed for the education in the work, from the Community Medicine subject. It was interacted with students of the second year of the career of Medicine, which included 4 stages. Results: The tasks are offered with their objectives and actions to complete for the students protected by the current guide of preparation of the Analysis of the Situation of Health. Conclusions: The guide constitutes a tool that makes possible the achievement of the activities of the education in the work, simultaneously it allows the achievement of professional competitions. (shrink)

There is an increasing demand by society that university students demonstrate competitive skills to enable them to achieve greater success when entering the workplace. Creativity and life satisfaction correlate positively with academic performance, productivity, and excellence in the working environment. The presence of creativity and emotional intelligence in the curriculum and teaching methods in Spanish universities, however, is surprisingly lacking. Studies that examine gender differences in these variables provide conflicting results. The purpose of our research is to analyse the changes (...) produced in both creativity and life satisfaction in university students by a positive emotional and creative intervention and explore individual differences by gender. The methodology used was a quasi-experimental pre- test/post- test design with experimental/control groups. Three hundred university students from the Community of Madrid completed three exercises that evaluated creativity and life satisfaction. The results show significantly higher results in creativity and life satisfaction in women, who continued to achieve high results after the intervention. Finally, we discuss the need for emotional and creative education in universities and focus on the employability and the guarantee of equal opportunities through the development of these competencies. (shrink)

A growing body of research has shown that symbolic number processing relates to individual differences in mathematics. However, it remains unclear which mechanisms of symbolic number processing are crucial—accessing underlying magnitude representation of symbols (i.e., symbol‐magnitude associations), processing relative order of symbols (i.e., symbol‐symbol associations), or processing of symbols per se. To address this question, in this study adult participants performed a dots‐number word matching task—thought to be a measure of symbol‐magnitude associations (numerical magnitude processing)—a numeral‐ordering task that focuses on (...) symbol‐symbol associations (numerical order processing), and a digit‐number word matching task targeting symbolic processing per se. Results showed that both numerical magnitude and order processing were uniquely related to arithmetic achievement, beyond the effects of domain‐general factors (intellectual ability, working memory, inhibitory control, and non‐numerical ordering). Importantly, results were different when a general measure of mathematics achievement was considered. Those mechanisms of symbolic number processing did not contribute to math achievement. Furthermore, a path analysis revealed that numerical magnitude and order processing might draw on a common mechanism. Each process explained a portion of the relation of the other with arithmetic (but not with a general measure of math achievement). These findings are consistent with the notion that adults’ arithmetic skills build upon symbol‐magnitude associations, and they highlight the effects that different math measures have in the study of numerical cognition. (shrink)

Envy is a complex and intriguing emotion that has received too little philosophical attention in recent years. Sara Protasi has come to remedy that gap with an original, thorough and carefully researched monograph that defends the view that envy is not all vicious, that one of its varieties can be fully virtuous, and that it plays an important role in our moral psychology.

This essay assesses the value of social constructivist theories of science to the history of medicine. It highlights particularly the ways in which feminist theorists have turned their attention to gender as a category of analysis in scientific thinking, producing an approach to modern science that asks how it became identified with "male" objectivity, reason, and mind, set in opposition to "female" subjectivity, feeling, and nature.In the history of medicine this new work has allowed a group of scholars to better (...) explain not only how women were marginalized in the profession but also the manner in which politics, male anxiety about shifts in power relations between the sexes, social and political upheaval, professional concerns, and changes in the family all had an impact on the production of knowledge regarding the female body, including the "discovery," definition, and treatment of a wide range of female ailments, from anorexia nervosa to fibroid tumors.Building on the work in the history of medicine already accomplished, the essay offers a critical rereading of the writings of Elizabeth Blackwell, a pioneer nineteenth-century woman physician and leader of the woman's medical movement. It contends that Blackwell, who lived through a revolutionary change in medical thinking brought on by discoveries in immunology and bacteriology, remained critical of "objectivity" as the "best" form of knowing and suspicious of the laboratory medicine that promoted it so enthusiastically. Moreover, her critiques of radical objectivity and scientific reductionism deserve to be recognized as foreshadowing the maternalist strain of thinking among contemporary feminist philosophers and thinkers such as Sara Ruddick and others. (shrink)

_The Promise of Happiness_ is a provocative cultural critique of the imperative to be happy. It asks what follows when we make our desires and even our own happiness conditional on the happiness of others: “I just want you to be happy”; “I’m happy if you’re happy.” Combining philosophy and feminist cultural studies, Sara Ahmed reveals the affective and moral work performed by the “happiness duty,” the expectation that we will be made happy by taking part in that which (...) is deemed good, and that by being happy ourselves, we will make others happy. Ahmed maintains that happiness is a promise that directs us toward certain life choices and away from others. Happiness is promised to those willing to live their lives in the right way. Ahmed draws on the intellectual history of happiness, from classical accounts of ethics as the good life, through seventeenth-century writings on affect and the passions, eighteenth-century debates on virtue and education, and nineteenth-century utilitarianism. She engages with feminist, antiracist, and queer critics who have shown how happiness is used to justify social oppression, and how challenging oppression causes unhappiness. Reading novels and films including_ Mrs. Dalloway_, _The Well of Loneliness_, _Bend It Like Beckham_, and _Children of Men_, Ahmed considers the plight of the figures who challenge and are challenged by the attribution of happiness to particular objects or social ideals: the feminist killjoy, the unhappy queer, the angry black woman, and the melancholic migrant. Through her readings she raises critical questions about the moral order imposed by the injunction to be happy. (shrink)

Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems from logic (...) to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated. (shrink)

A general method for generating contraction- and cut-free sequent calculi for a large family of normal modal logics is presented. The method covers all modal logics characterized by Kripke frames determined by universal or geometric properties and it can be extended to treat also Gödel-Löb provability logic. The calculi provide direct decision methods through terminating proof search. Syntactic proofs of modal undefinability results are obtained in the form of conservativity theorems.

Current frameworks on ethical decision-making process have some limitations. This paper argues that the consideration of moral competencies, understood as moral virtues in the workplace, can enhance our understanding of why moral character contributes to ethical decision-making. After discussing the universal nature of four moral competencies (prudence, justice, fortitude and temperance), we analyse their influence on the various stages of the ethical decision-making process. We conclude by considering the managerial implications of our findings and proposing further research.

This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim (...) is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians. (shrink)

A way is found to add axioms to sequent calculi that maintains the eliminability of cut, through the representation of axioms as rules of inference of a suitable form. By this method, the structural analysis of proofs is extended from pure logic to free-variable theories, covering all classical theories, and a wide class of constructive theories. All results are proved for systems in which also the rules of weakening and contraction can be eliminated. Applications include a system of predicate logic (...) with equality in which also cuts on the equality axioms are eliminated. (shrink)

A welcome addition to the Routledge Critical Thinkers series, Judith Butler is the first guidebook on this renowned feminist and queer theory scholar, which will help not only students of literary criticism but also students of law, sociology, philosophy, film and cultural studies. Examining Butler's work through a variety of contexts, including the formation of gender performativity, identity and subjecthood, Sarah Salih address Butler's crucial ideas on the gender agenda, the body, pornography, race, gay self-expression and power and psychoanalysis. Concluding (...) with an annotated bibliography, this book will be the ideal starting point for all new to Butler. (shrink)

Geometric theories are presented as contraction- and cut-free systems of sequent calculi with mathematical rules following a prescribed rule-scheme that extends the scheme given in Negri and von Plato. Examples include cut-free calculi for Robinson arithmetic and real closed fields. As an immediate consequence of cut elimination, it is shown that if a geometric implication is classically derivable from a geometric theory then it is intuitionistically derivable.

The axiomatic presentation of modal systems and the standard formulations of natural deduction and sequent calculus for modal logic are reviewed, together with the difficulties that emerge with these approaches. Generalizations of standard proof systems are then presented. These include, among others, display calculi, hypersequents, and labelled systems, with the latter surveyed from a closer perspective.

Proofs and countermodels are the two sides of completeness proofs, but, in general, failure to find one does not automatically give the other. The limitation is encountered also for decidable non-classical logics in traditional completeness proofs based on Henkin’s method of maximal consistent sets of formulas. A method is presented that makes it possible to establish completeness in a direct way: For any given sequent either a proof in the given logical system or a countermodel in the corresponding frame class (...) is found. The method is a synthesis of a generation of calculi with internalized relational semantics, a Tait–Schütte–Takeuti style completeness proof, and procedures to finitize the countermodel construction. Finitizations for intuitionistic propositional logic are obtained through the search for a minimal derivation, through pruning of infinite branches in search trees by means of a suitable syntactic counterpart of semantic filtration, or through a proof-theoretic embedding into an appropriate provability logic. A number of examples illustrates the method, its subtleties, challenges, and present scope. (shrink)

‘Intersectionality’ has now become a major feature of feminist scholarly work, despite continued debates surrounding its precise definition. Since the term was coined and the field established in the late 1980s, countless articles, volumes and conferences have grown out of it, heralding a new phase in feminist and gender studies. Over the past few years, however, the growing number of critiques leveled against intersectionality warrants us as feminists to pause and reflect on the trajectory the concept has taken and on (...) the ways in which it has traveled through time and space. Conceptualizing intersectionality as a traveling theory allows for these multiple critiques to be contextualized and addressed. It is argued that the context of the neoliberal academy plays a major role in the ways in which intersectionality has lost much of its critical potential in some of its usages today. It is further suggested that Marxist feminism offers an important means of grounding intersectionality critically and expanding intersectionality’s ability to engage with feminism transnationally. (shrink)

Large portions of mathematics such as algebra and geometry can be formalized using first-order axiomatizations. In many cases it is even possible to use a very well-behaved class of first-order axioms, namely, what are called coherent or geometric implications. Such class of axioms can be translated to inference rules that can be added to a sequent calculus while preserving its structural properties. In this work, this fundamental result is extended to their infinitary generalizations as extensions of sequent calculi for both (...) classical and intuitionistic infinitary logic. As an application, a simple proof of the infinitary Barr’s theorem without the axioms of choice is shown. (shrink)

A way is found to add axioms to sequent calculi that maintains the eliminability of cut, through the representation of axioms as rules of inference of a suitable form. By this method, the structural analysis of proofs is extended from pure logic to free-variable theories, covering all classical theories, and a wide class of constructive theories. All results are proved for systems in which also the rules of weakening and contraction can be eliminated. Applications include a system of predicate logic (...) with equality in which also cuts on the equality axioms are eliminated. (shrink)

Decolonial/anti-colonial Black, Indigenous and Mestiza feminist movements and scholar-activists foreground how the oft-touted apocalypse that the Covid-19 pandemic heralds is not new, nor does it signify the great rupture into chaos that those from within modernity-coloniality often claim it to be. Rather Covid-19 is preceded by and will be out-lived by the apocalyptic anti-life onto-epistemological logics that are foundational to the production of hetero-patriarchal capitalist- coloniality. However, one would commit the violence of reproduction of the epistemological logics and rationalities constitutive (...) of the current system if the story ended there. We have survived and our survival points to the urgent necessity and responsibility of social theory to listen to the story of the pandemic from a Black/Indigenous genealogy and to begin the sense-making of the Covid-19 pandemic, from prior to this particular virus, outside, against and beyond the politics of knowledge of critical social theory itself. Thus, I invite you to journey to an affirmative re-enfleshment of reason and theory-making in relation to and dialogue with Black, Indigenous, and subaltern Mestiza feminist movements in southwest Colombia and in southeast so-called Australia in the unceded lands of the Awabakal and the Worimi. I explore this through the metaphor, the materiality, the cosmology and the herstory of the mangrove swamps a knowing-being otherwise visible to the dehumanising gave of Whiteness and bring to thought three stories of a politics of knowledge of/as the Black/racialised and feminised body/flesh. To do this is to suggest that the co-creation of pathways which are life affirming and life making beyond and out of the post-Covid 19 conjuncture involves an epistemological-political project which decolonises and feminises the containments of reason and knowing being of coloniality/modernity. (shrink)

Virtuosity in music performance is often associated with fast, precise, and efficient sound-producing movements. The generation of such highly skilled movements involves complex joint and muscle control by the central nervous system, and depends on the ability to anticipate, segment, and coarticulate motor elements, all within the biomechanical constraints of the human body. When successful, such motor skill should lead to what we characterize as fluency in musical performance. Detecting typical features of fluency could be very useful for technology-enhanced learning (...) systems, assisting and supporting students during their individual practice sessions by giving feedback and helping them to adopt sustainable movement patterns. In this study, we propose to assess fluency in musical performance as the ability to smoothly and efficiently coordinate while accurately performing slow, transitionary, and rapid movements. To this end, the movements of three cello players and three drummers at different levels of skill were recorded with an optical motion capture system, while a wireless electromyogrphy (EMG) system recorded the corresponding muscle activity from relevant landmarks. We analyze the kinematic and coarticulation characteristics of these recordings separately and then propose a combined model of fluency in musical performance predicting music sophistication. Results suggest movements from expert performers' are characterized by consistently smooth strokes and scaling of muscle phasic coactivation. The explored model of fluency as function of movement smoothness and coarticulation patterns was shown to be limited by the sample size but serves as a proof of concept. Results from this study show the potential of a technology-enhanced objective measure of fluency in musical performance, which could lead to improved practices for aspiring musicians, instructors, and researchers. (shrink)

We report a solution to an open problem regarding the axiomatization of the convex hull of a type of nonclassical evaluations. We then investigate the meaning of this result for the larger context of the relation between rational credence functions and nonclassical probability. We claim that the notions of bets and Dutch Books typically employed in formal epistemology are of doubtful use outside the realm of classical logic, eventually proposing two novel ways of understanding Dutch Books in nonclassical settings.

This paper provides a proof-theoretic study of quantified non-normal modal logics. It introduces labelled sequent calculi based on neighbourhood semantics for the first-order extension, with both varying and constant domains, of monotone NNML, and studies the role of the Barcan formulas in these calculi. It will be shown that the calculi introduced have good structural properties: invertibility of the rules, height-preserving admissibility of weakening and contraction and syntactic cut elimination. It will also be shown that each of the calculi introduced (...) is sound and complete with respect to the appropriate class of neighbourhood frames. In particular, the completeness proof constructs a formal derivation for derivable sequents and a countermodel for non-derivable ones, and gives a semantic proof of the admissibility of cut. (shrink)

In this paper we study the interaction between symmetric logic and probability. In particular, we axiomatize the convex hull of the set of evaluations of symmetric logic, yielding the notion of probability in symmetric logic. This answers an open problem of Williams ( 2016 ) and Paris ( 2001 ).

A relation between two secrets, known in the literature as nondeducibility , was originally introduced by Sutherland. We extend it to a relation between sets of secrets that we call independence . This paper proposes a formal logical system for the independence relation, proves the completeness of the system with respect to a semantics of secrets, and shows that all axioms of the system are logically independent.

The article proposes Logic of Secrets in Collaboration Networks, a formal logical system for reasoning about a set of secrets established over a fixed configuration of communication channels. The system’s key feature, a multi-channel relation called independence, is a generalization of a two-channel relation known in the literature as nondeducibility. The main result is the completeness of the proposed system with respect to a semantics of secrets.

RESUMENDesde su perspectiva nominalista, Dield sostiene que la utilidad de los enunciados matemáticos en el mundo físico no proporciona razones suficientes para creer que sean verdaderos; en realidad, las matemáticas no son algo que pueda evaluarse adecuadamente en términos de verdad o de falsedad. Por ello, tiene que negar la existencia de entidades matemáticas y rebatir la tesis de que estas entidades sean teóricamente indispensables. En su lugar, argumenta que la utilidad de las matemáticas puede justificarse solamente por su carácter (...) conservativo, esto es, que cualquier inferencia que pueda hacerse a partir de premisas nominalistas con su ayuda, podría haberse hecho sin ella. El principal objetivo de este artículo es mostrar que los aspectos más importantes del planteamiento de Field han sido mantenidos, hasta cierto punto, por Carnap y los empiristas lógicos.PALABRAS CLAVEEMPIRISMO LOGICO-NOMINALISMO-CARNAP-FIELDABSTRACTFrom his nominalistic point of view, Field claims that the utiity of mathematical assertions in the physical world gives no ground for believing in their trith; actually, mathematics is not the sort of thing that can be appropiately evaluated in terms of truth and falsehood. So, he has to deny that mathematical entities exist, and undermine the thesis that these entities are theoretically indispensable. he argues, instead, that the utility of mathematics can be accounted for only by its conservatiness, i.e., that any inference from nominalistic premises that can be made with the help of mathematics, could be made without it. The goal of this paper is to show that Field's main claim have been maintened, up to a point, by Carnap and the logical positivists. KEYWORDSLOGICAL EMPIRICISM-NOMINALISM-CARNAP-FIELD. (shrink)

In this article, I demonstrate that, of the two horoscopes transmitted by the Anonymous Commentary on Ptolemy’s ‘Tetrabiblos’, edited by Hieronymous Wolf, Basel, 1559, pp. 98 and 112, the first (H1) corresponds to an actual birth that took place in Lower Egypt on 25 June 448 AD, while the second (H2) is the same horoscope, slightly modified to fit the specific example for which it provides the illustration. The new date proposed here for H1 is important for establishing a more (...) precise chronology of the Anonymous Commentary, since it not only provides a terminus post quem for its composition (from the middle of the fifth century onwards) but also a particular geographical environment in the proximity of Alexandria. Given the large amount of formal and structural similarities which can be readily observed between the Anonymous Commentary and commentaries on Plato and Aristotle composed by Ammonius and his disciples in Alexandria, it becomes impossible not to link the work of the anonymous commentator to the Neoplatonic school of Alexandria of the fifth and sixth centuries, led by the philosopher Ammonius and his brother Heliodorus. (shrink)

A proof-theoretical analysis of elementary theories of order relations is effected through the formulation of order axioms as mathematical rules added to contraction-free sequent calculus. Among the results obtained are proof-theoretical formulations of conservativity theorems corresponding to Szpilrajn’s theorem on the extension of a partial order into a linear one. Decidability of the theories of partial and linear order for quantifier-free sequents is shown by giving terminating methods of proof-search.

Contraction-free sequent calculi for intuitionistic theories of apartness and order are given and cut-elimination for the calculi proved. Among the consequences of the result is the disjunction property for these theories. Through methods of proof analysis and permutation of rules, we establish conservativity of the theory of apartness over the theory of equality defined as the negation of apartness, for sequents in which all atomic formulas appear negated. The proof extends to conservativity results for the theories of constructive order over (...) the usual theories of order. (shrink)