Large cardinals arising from the existence of arbitrarily long end elementary extension chains over models of set theory are studied here. In particular, we show that the large cardinals obtained in this fashion (`unfoldable cardinals') lie in the boundary of the propositions consistent with `V = L' and the existence of 0 ♯ . We also provide an `embedding characterisation' of the unfoldable cardinals and study their preservation and destruction by various forcing constructions.

We study versions of limit models adapted to the context of metric abstract elementary classes. Under categoricity and superstability-like assumptions, we generalize some theorems from 7, 15-17. We prove criteria for existence and uniqueness of limit models in the metric context.

We study notions of independence appropriate for a stability theory of metric abstract elementary classes (for short, MAECs). We build on previous notions used in the discrete case, and adapt definitions to the metric case. In particular, we study notions that behave well under superstability‐like assumptions. Also, under uniqueness of limit models, we study domination, orthogonality and parallelism of Galois types in MAECs.

A long series of conversations interweaving mathematical, historical and philosophical aspects of categoricity in model theory took place between the author and Saharon Shelah in 2016 and 2017. In this excerpt of that long conversation, we explore the relationship between explicit and implicit aspects of categoricity. We also discuss the connection with definability issues.

We prove the following main theorem: Let be an abstract elementary class satisfying the joint embedding and the amalgamation properties with no maximal models of cardinality μ. Let μ be a cardinal above the the Löwenheim‐Skolem number of the class. If is μ‐Galois‐stable, has no μ‐Vaughtian Pairs, does not have long splitting chains, and satisfies locality of splitting, then any two ‐limits over M, for, are isomorphic over M.

We provide here the first steps toward a Classification Theory ofElementary Classes with no maximal models, plus some mild set theoretical assumptions, when the class is categorical in some λ greater than its Löwenheim-Skolem number. We study the degree to which amalgamation may be recovered, the behaviour of non μ-splitting types. Most importantly, the existence of saturated models in a strong enough sense is proved, as a first step toward a complete solution to the o Conjecture for these classes. Further (...) results are in preparation. (shrink)

In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.

Theoria, Volume 87, Issue 4, Page 971-985, August 2021.

In this article we present a notion of “logical perfection”. We first describe through examples a notion of logical perfection extracted from the contemporary logical concept of categoricity. Categoricity (in power) has become in the past half century a main driver of ideas in model theory, both mathematically (stability theory may be regarded as a way of approximating categoricity) and philosophically. In the past two decades, categoricity notions have started to overlap with more classical notions of robustness and smoothness. These (...) have been crucial in various parts of mathematics since the nineteenth century. We postulate and present the category of logical perfection. We draw on various notions of perfection from mathematics of the 19th and 20th centuries and then trace the relation to the concept of categoricity in power as a logical notion of what a “mathematically perfect” structure is. (shrink)

We prove a version of a small index property theorem for strong amalgamation classes. Our result builds on an earlier theorem by Lascar and Shelah. We then study versions of the small index property for various non-elementary classes. In particular, we obtain the small index property for quasiminimal pregeometry structures.

Theoria, Volume 87, Issue 4, Page 870-873, August 2021.

In the paper “Categoricity in abstract elementary classes with no maximal models”, we address gaps in Saharon Shelah and Andrés Villavecesʼ proof in [4] of the uniqueness of limit models of cardinality μ in λ-categorical abstract elementary classes with no maximal models, where λ is some cardinal larger than μ. Both [4] and [5] employ set theoretic assumptions, namely GCH and Φμ+μ+).Recently, Tapani Hyttinen pointed out a problem in an early draft of [3] to Villaveces. This problem stems from (...) the proof in Shelah and Villavecesʼ [4] that reduced towers are continuous. Residues of this problem also infect the proof of Proposition II.7.2 in VanDieren [5]. We respond to the issues in Shelah and Villaveces [4] and VanDieren [5] with alternative proofs under the strengthened assumption that the abstract elementary class is categorical in μ+. (shrink)

The possible evolutionary significance of epigenetic memory and codes is a key problem for extended evolutionary synthesis and biosemiotics. In this paper, some less known original works are reviewed which highlight theoretical parallels between current evolutionary epigenetics, on the one hand, and its predecessors in the eco-physiology of higher nervous activity, on the other. Recently, these areas have begun to converge, with first evidence now indicating the possibility of transgenerational epigenetic inheritance of conditional associations in the mammalian nervous system, and (...) related findings in other taxa. This can serve as an interesting example of evolutionary code-making, where the molecular mechanisms underlying arbitrary associations between stimuli involve lasting changes in gene expression that may be transmitted epigenetically across generations, and which in some cases could be further assimilated into the genome over subsequent evolution. Although preliminary, such epigenetic scenarios would also offer an interesting, if so far overlooked parallel to earlier research carried out by one of I.P. Pavlov’s leading students, acad. P.K. Anokhin, and his colleagues, but also by eminent eco-physiologists of the time, several of whom offered arguments for the possibility of unconditional reflexes representing evolutionarily later, specialized, and reduced forms of associative reflexes, from which they may be derived. Although discarded under the growing dominance of modern synthesis, these early epigenetic investigations may deserve renewed attention in the modern context, and if further confirmed, could open essentially new perspectives on the morphofunctional evolution of the nervous system. (shrink)

Variations in life history define key comparative and evolutionary biological questions, important for understanding the mechanisms of mammalian evolutionary divergence, developmental adaptability and plasticity. In this regard, the differences among predominantly altricial and precocial species represent a particularly significant, if still poorly understood and contested case. Here, it will be shown how the classical analysis of such ontogenetic variations, going back to the semantic biology of A. Portmann, can be expanded and synthesized with comparative physiological approaches, based on the negentropic (...) theory of ontogeny by I. A. Arshavsky and his school. In this little received but pioneering tradition, extensive comparative and experimental investigations were carried out on the role of musculoskeletal systems and stressors in driving life history variations, particularly in the altricial-precocial spectrum. As shown by Arshavsky and co-workers, by focusing on general allometric regularities, the approximations based on the classical energy rules of surface and mass offer valuable benchmarks, but also predictions that are frequently violated by the variability of physiological and metabolic scaling relationships among altricials and precocials, and thus, a complex and historical approach is needed to describe their local physiological mechanisms and systemic regularities. This paper shows how Arshavsky’s findings and framework can play an integrative role in this context, potentially helping to bridge the mainly descriptive approach of semantic morphology, as developed by Portmann’s school, with the more functional explanations predominating current ecology and life history theory. These problems can be important for biosemiotics by highlighting the contingent, activity-dependent, and surplus anabolic stress mechanisms underlying diversification in eutherian developmental systems and possibly, the epigenetic evolution of pace-of-life syndromes. (shrink)

In this paper I examine the notion of ‘artifact’ and related notions in the dominant version of extended cognition theory grounded on extended functionalism. Although the term is ubiquitous in the literature, it is far from clear what ECT means by it. How are artifacts conceptualized in ECT? Is ‘artifact’ a meaningful and useful category for ECT? If the answer to the previous question is negative, should we worry? Is it important for ECT to have a coherent theory of artifacts? (...) And what are the demands and constraints that ECT imposes on this theory? I distinguish between two aspects of ECT, one narrow, aligned with extended functionalism ; and one broad or pluralistic, in which EF is combined with other theoretical resources in the context of diverse research programs. I begin by determining the problems in conceptualizing artifacts from EF. Then I address the question of why a concept of artifact may be relevant to ECT. Next, I examine the efforts of Richard Heersmink to combine ECT with dominant theories of artifacts in the philosophy of technology. I argue that both approaches fail to yield a meaningful notion of artifact, let alone one of ‘cognitive’ artifact. Finally, I argue that narrow ECT places rather strong constraints on a theory of artifacts, since it locates the specificity of ‘artifact’ in material aspects of realization that are, by definition, outside its theoretical purview. I examine, then discard, the possibility that a materialist and objectivist theory of artifacts may be of help. And finally I briefly explore some ways in which a broad, pluralistic ECT may address some of these shortcomings. (shrink)

This article integrates previously missing components of government quality into the governance-piracy nexus in exploring governance mechanisms by which global obligations for the treatment of IPRs are effectively transmitted from international to the national level in the battle against piracy. It assesses the best governance tools in the fight against piracy and upholding of intellectual property rights (IPRs). The instrumentality of IPR laws (treaties) in tackling piracy through good governance mechanisms is also examined. Findings demonstrate that: (1) while all governance (...) tools under consideration significantly decrease the incidence of piracy, corruption-control is the most effective weapon; (2) but for voice and accountability, political stability and democracy, IPR laws (treaties) are instrumental in tackling piracy through government quality dynamics of rule of law, regulation quality, government effectiveness, corruption-control, and press freedom. Hence, the need for a policy approach most conducive to expanding development is to implement an integrated system of both IPRs and corollary good governance policies. Moreover, our findings support the relevance of good governance measures in developing countries wishing to complement their emerging IPR regimes. (shrink)

In this paper I argue that the search for explainable models and interpretable decisions in AI must be reformulated in terms of the broader project of offering a pragmatic and naturalistic account of understanding in AI. Intuitively, the purpose of providing an explanation of a model or a decision is to make it understandable to its stakeholders. But without a previous grasp of what it means to say that an agent understands a model or a decision, the explanatory strategies will (...) lack a well-defined goal. Aside from providing a clearer objective for XAI, focusing on understanding also allows us to relax the factivity condition on explanation, which is impossible to fulfill in many machine learning models, and to focus instead on the pragmatic conditions that determine the best fit between a model and the methods and devices deployed to understand it. After an examination of the different types of understanding discussed in the philosophical and psychological literature, I conclude that interpretative or approximation models not only provide the best way to achieve the objectual understanding of a machine learning model, but are also a necessary condition to achieve post hoc interpretability. This conclusion is partly based on the shortcomings of the purely functionalist approach to post hoc interpretability that seems to be predominant in most recent literature. (shrink)

The idea of inclusive collective decision-making is important in establishing democratic legitimacy, but it fails when citizens are excluded. Stated-preference methods of valuation, which are commonly used in economics, have been criticised because the principle of willingness to pay may exclude low-income earners who do not have the capacity to pay. Deliberative valuation has been advocated as a way to overcome this problem, but deliberation may also be exclusive. In this review, two deliberative valuation frameworks are compared. The first is (...) grounded on the idea of rational discourse that emphasises argument at the expense of other communicative strategies. It seeks to secure inclusion through procedural rules and prerequisites, but fails to address the underlying democratic limitation of argumentation. The second does not rely on the distinction between rational and rhetorical speech, and therefore admits alternative forms of communication. This approach recognises differences in the communicative capacities and practices of those who take part in deliberation, and so is better equipped to improve, though not to guarantee, inclusion. (shrink)

In the view of the author, the main problem of semiotics is the understanding and advancing of understanding. To contribute to the solution of this problem, a distinction is suggested between two types of understanding: enlogy and empathy. The subject of enlogy reduces what he understands to himself as a code: he hears only what he is himself. The subject of empathy reduces what she understands to herself as a text: she sees only what she is striving to become. Enlogy (...) is possible due to the identity of the communicants as a present unified code. Empathy is possible due to the identity of the communicants as a future common text. Mastering the code is a by-product of empathy; the texts rests on the enlogy that already is possible. Enlogy and empathy do not pereceive each other as understanding. Therefore their mutual understanding remains the hardest problem of understanding. To fulfil its task, semiotics has to address this problem. (shrink)

Since it implies a reduction in the quality and the quantity of the natural resources, environmental degradation is a present day problem that requires immediate solutions. This situation is driving firms to undertake an environmental transformation process with the purpose of reducing the negative externalities that come from their economic activities. Within this context, environmental marketing is an emerging business philosophy by which organizations can address sustainability issues. Moreover, environmental marketing and orientation are seen as valuable strategies to improve a (...) firm's competitiveness. However, the literature that has analyzed the link between environmental strategies and firms' results has been inconclusive and contradictory. In this study, we propose and test a model that analyses how the implementation of ecological issues within a firm's marketing strategy and orientation influences organizational results. Data were obtained through a survey sent to Spanish manufacturing firms. The results show that environmental marketing positively affects firms' operational and commercial performance and this improvement will influence their economic results. Moreover, environmental marketing is revealed as an excellent strategy to obtain competitive advantages in costs and in product differentiation. Thus, this study agrees with the researchers who affirm that environmental strategies positively affect firm's competitiveness while reducing environmental impact. (shrink)

This paper sketches a network of analogies reaching from linguosemiotics (including theory of reference in analytical philosophy of language) to biosemiotics. It results in the following proportion: attributive use of referring expressions : referential use of referring expressions : ‘generative’ use of referring expressions = signifying : referring : ‘poetic pointing’ = ‘functional’ semiosis : ‘adaptational’ semiosis : semiosis in the narrow sense.

This paper sketches a network of analogies reaching from linguosemiotics (including theory of reference in analytical philosophy of language) to biosemiotics. It results in the following proportion: attributive use of referring expressions : referential use of referring expressions : ‘generative’ use of referring expressions = signifying : referring : ‘poetic pointing’ = ‘functional’ semiosis : ‘adaptational’ semiosis : semiosis in the narrow sense.

En este artículo analizo primero la significación de la filosofía matemática de Kant para la investigación de fundamentos; paso luego a mostrar su función en la Crítica de la Razón Pura; finalmente rastreo algunos antecedentes históricos.: In the first part of the paper the author describes the reception of the kantian philosophy of mathematics in the foundational research from Frege to Cohen. The second part deals with the question whether Kant has rejected or not the ideal of mathematizing philosophy. In (...) the third part a new interpretation of Descartes philosophy of mathematics is proposed. According to a very natural reading of the Regulae Descartes becomes a forerunner of Kant and the modern constructivists. (shrink)

I present an outline of a normative and non selectionist theory capable of ascribing functional statements to biological items. Biological items are ussually exemplified by the organs as well as traits or behaviours. But we can consider representations too. In fact, my proposal is focused towards a teleosemantical theory of mental content. The teleosemantic approach explains the content of beliefs in terms of the biological functions of those states. Usually, teleosemantical theories of mental representation either ellaborate previously a general theory (...) of functions for biological items, this is the case for Millikan, Neander or Price, orassume a previous selectionist one, as Papineau does. But these proposals are frequently adaptationist in order to keep normatitvity in whatever functional adscription. The recent contributions to the state of the art show the problems of this kind of selectionist view. But they don’t consider the problem of normativity in functional adscriptions. And this problem become important when we pay attention to mental representations as biological facts. I propose an outline of a nonselectionist nor adaptationist account of biological functions capable of keeping normativity. My account is suitable to biological traits, in general, and mental representations characterized in terms of biological functions. (shrink)

This paper offers some insights and clarifications of the paramount role that Mexico has had in the forging of first-order cybernetics. Our account starts with Arturo Rosenblueth as a key intellectual figure in the foundation and formation of the field. After revisiting a historical context of people and places, we proceed to a cultural and media archeological investigation that helps us obtain new insights into the ongoing effort to intertwine the complex intellectual networks across different countries in Latin America, North (...) America, and Europe. We then present cases and first-hand interviews to discuss the legacy of cybernetics in Mexico around institutions where Rosenblueth was affiliated, mainly the Institute of Cardiology and, later on, the CINVESTAV at the Instituto Politécnico Nacional. We claim that subjective affinities are as important as common scientific goals to establish and keep connections alive, necessary to the development of a research field. As the active compound in spicy peppers, capsaicin represents a local component to the definition of cybernetics. Ultimately, the paper aims to contribute to the research on the importance of cybernetics in Latin America. (shrink)

Since it implies a reduction in the quality and the quantity of the natural resources, environmental degradation is a present day problem that requires immediate solutions. This situation is driving firms to undertake an environmental transformation process with the purpose of reducing the negative externalities that come from their economic activities. Within this context, environmental marketing is an emerging business philosophy by which organizations can address sustainability issues. Moreover, environmental marketing and orientation are seen as valuable strategies to improve a (...) firm's competitiveness. However, the literature that has analyzed the link between environmental strategies and firms' results has been inconclusive and contradictory. In this study, we propose and test a model that analyses how the implementation of ecological issues within a firm's marketing strategy and orientation influences organizational results. Data were obtained through a survey sent to Spanish manufacturing firms. The results show that environmental marketing positively affects firms' operational and commercial performance and this improvement will influence their economic results. Moreover, environmental marketing is revealed as an excellent strategy to obtain competitive advantages in costs and in product differentiation. Thus, this study agrees with the researchers who affirm that environmental strategies positively affect firm's competitiveness while reducing environmental impact. (shrink)

In this paper I argue that the search for explainable models and interpretable decisions in AI must be reformulated in terms of the broader project of offering a pragmatic and naturalistic account of understanding in AI. Intuitively, the purpose of providing an explanation of a model or a decision is to make it understandable to its stakeholders. But without a previous grasp of what it means to say that an agent understands a model or a decision, the explanatory strategies will (...) lack a well-defined goal. Aside from providing a clearer objective for XAI, focusing on understanding also allows us to relax the factivity condition on explanation, which is impossible to fulfill in many machine learning models, and to focus instead on the pragmatic conditions that determine the best fit between a model and the methods and devices deployed to understand it. After an examination of the different types of understanding discussed in the philosophical and psychological literature, I conclude that interpretative or approximation models not only provide the best way to achieve the objectual understanding of a machine learning model, but are also a necessary condition to achieve post hoc interpretability. This conclusion is partly based on the shortcomings of the purely functionalist approach to post hoc interpretability that seems to be predominant in most recent literature. (shrink)

In this article I argue that anti-perfectionist liberals can accept nudging in certain areas: in particular, they can accept nudges aimed at helping people to discharge their nonenforceable duties, and to secure personal autonomy. I claim that nudging is not disrespectful since it does not involve a comparative negative judgment on people’s ability to pursue their plans, and that the judgments that motivate nudging are compatible with treating citizens as free and equal. I also claim that despite being sometimes manipulative, (...) nudging is easy to resist and so it can be employed to pursue legitimate goals. (shrink)

Final value accrues to objects that are good for their own sakes, while instrumental value accrues to objects that are good for the sake of their effects. The following paper aims to show that this distinction cuts across some surprising areas of the evaluative domain. This means that there may be some unexpected types of value that can come in a final or instrumental form. The argument proceeds by looking at two prominent types of value, namely kind-value and personal value. (...) The former accrues to objects that are good as the kinds of things that they are, while the latter accrues to objects that are good for someone. Substantive examples are offered in support of the idea that these types of value can come in final or instrumental form. The substantive examples are then given additional support by considering the structure and behavior of fitting attitudes. (shrink)

If there is no inner model with ω many strong cardinals, then there is a set forcing extension of the universe with a projective well-ordering of the reals.

This book examines the human ability to participate in moments of joint feeling. It presents an answer to the question concerning the nature of our faculty to share in what might be called episodes of collective affective intentionality. The proposal develops the claim that our capacity to participate in such episodes is grounded in an ability central to our human condition: our capacity to care with one another about certain things. The author provides a phenomenologically adequate account of collective affective (...) intentionality that takes seriously the idea that feelings are at the core of our emotional relation to the world. He details a form of group emotional orientation that relies on the fact that the participating individuals have come to share a number of concerns. Readers will learn that at the heart of a collective affective intentional episode, one does not merely find a set of shared concerns, but also a particular mode of caring. In the end, the argument presented in this monograph makes plausible the idea that the emotions through which humans participate in moments of affective intentional community express our nature. In addition, it shows that the debate on collective affective intentionality also permits us to better understand the relationship between two conflicting philosophical pictures of ourselves: the idea that we are essentially social beings and the claim that we are creatures for whom our personal existence is an issue. Thus, aiming at an elucidation of the nature of our ability to feel together, the book offers a detailed account of what it is to situationally express our human nature by caring about something in a properly joint manner. (shrink)

Many word forms in natural language are polysemous, but only some of them allow for co-predication, that is, they allow for simultaneous predications selecting for two different meanings or senses of a nominal in a sentence. In this paper, we try to explain (i) why some groups of senses allow co-predication and others do not, and (ii) how we interpret co-predicative sentences. The paper focuses on those groups of senses that allow co-predication in an especially robust and stable way. We (...) argue, using these cases, but focusing particularly on the multiply polysemous word ‘school’, that the senses involved in co-predication form especially robust activation packages, which allow hearers and readers to access all the different senses in interpretation. (shrink)

This paper analyzes the impact that Lamarckian evolutionary theory had in the scientific community during the period between the advent of Zoological Philosophy and the publication Origin of Species. During these 50 years Lamarck’s model was a well known theory and it was discussed by the scientific community as a hypothesis to explain the changing nature of the fossil record throughout the history of Earth. Lamarck’s transmutation theory established the foundation of an evolutionary model introducing a new way to research (...) in nature. Darwin’s selectionist theory was proposed in 1859 to explain the origin of species within this epistemological process. In this context, Charles Lyell’s Principles of Geology and Auguste Comte’s Cours de Philosophie Positive appear as two major works for the dissemination of Lamarck’s evolutionary ideology after the death of the French naturalist in 1829. (shrink)

I defend the view that circular definitions can be useful and illuminating by focusing on the fitting-attitudes analysis of value. This definition states that an item has value if and only if it is a fitting target of attitudes. Good items are the fitting targets of positive attitudes, and bad items are the fitting targets of negative ones. I shall argue that a circular version of this definition, defended by Rabinowicz and Rønnow-Rasmussen (2006), is preferable to its non-circular counterpart and (...) upholds reasonable standards of acceptability. The standards I will be discussing come from Humberstone (1997), who claims that definitions cannot be informative as long as they are inferentially circular. (shrink)

Plagiarism is a serious, yet widespread type of research misconduct, and is often neglected in developing countries. Despite its far-reaching implications, plagiarism is poorly acknowledged and discussed in the academic setting, and insufficient evidence exists in Latin America and developing countries to inform the development of preventive strategies. In this context, we present a longitudinal case study of seven instances of plagiarism and cheating arising in four consecutive classes of an Epidemiology Masters program in Lima, Peru, and describes the implementation (...) and outcomes of a multifaceted, “zero-tolerance” policy aimed at introducing research integrity. Two cases involved cheating in graded assignments, and five cases correspond to plagiarism in the thesis protocol. Cases revealed poor awareness of high tolerance to plagiarism, poor academic performance, and widespread writing deficiencies, compensated with patchwriting and copy-pasting. Depending on the events’ severity, penalties included course failure and separation from the program. Students at fault did not engage in further plagiarism. Between 2011 and 2013, the Masters program sequentially introduced a preventive policy consisting of: intensified research integrity and scientific writing education, a stepwise, cumulative writing process; honor codes; active search for plagiarism in all academic products; and a “zero-tolerance” policy in response to documented cases. No cases were detected in 2014. In conclusion, plagiarism seems to be widespread in resource-limited settings and a greater response with educational and zero-tolerance components is needed to prevent it. (shrink)

Value is an inescapable part of the human experience and what life must be like for a conscious and feeling person. Philosophical questions about value are therefore naturally invited: What sort of thing would value be if it were part of the furniture of the world? How should we understand the relations that value is thought to stand in to other things? In a broad sense, these are formal questions calling for philosophical studies into the understanding of value notions. The (...) following work represents one such study. Its main concern lies specifically with the notion of final value, the idea that things can be good or bad for their own sakes. (shrink)

Research, innovation, and progress in the life sciences are increasingly contingent on access to large quantities of data. This is one of the key premises behind the “open science” movement and the global calls for fostering the sharing of personal data, datasets, and research results. This paper reports on the outcomes of discussions by the panel “Open science, data sharing and solidarity: who benefits?” held at the 2021 Biennial conference of the International Society for the History, Philosophy, and Social Studies (...) of Biology, and hosted by Cold Spring Harbor Laboratory. (shrink)

This paper presents key elements of Paolo Prodi´s historiagraphic theory that allow us to include him in the contemporary debate on the rol of religion and morality within democratic societies. The text is developed in three moments. First, we will briefly describe the aforementioned debate. Second, we will present the theorical elements found in Prodi’s works which are more relevant for the topic discussed. Finally, we will offer some critical comments in order to present what, for us, is still an (...) open discussion. (shrink)