24 found

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Forthcoming articles
  1. Kai Hauser (forthcoming). Intuition and Its Object. Axiomathes:1-29.
    The view that mathematics deals with ideal objects to which we have epistemic access by a kind of perception (’intuition’) has troubled many thinkers. Using ideas from Husserl’s phenomenology, I will take a different look at these matters. The upshot of this approach is that there are non-material objects and that they can be recognized in a process very closely related to sense perception. In fact, the perception of physical objects may be regarded as a special case of this more (...)
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  2. Teresa Kouri (forthcoming). A Reply to Heathcote's: On the Exhaustion of Mathematical Entities by Structures. Axiomathes:1-13.
    In this article I respond to Heathcote’s “On the Exhaustion of Mathematical Entities by Structures”. I show that his ontic exhaustion issue is not a problem for ante rem structuralists. First, I show that it is unlikely that mathematical objects can occur across structures. Second, I show that the properties that Heathcote suggests are underdetermined by structuralism are not so underdetermined. Finally, I suggest that even if Heathcote’s ontic exhaustion issue if thought of as a problem of reference, the structuralist (...)
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  3. Dingmar van Eck (forthcoming). Reconciling Ontic and Epistemic Constraints on Mechanistic Explanation, Epistemically. Axiomathes:1-18.
    In this paper I address the current debate on ontic versus epistemic conceptualizations of mechanistic explanation in the mechanisms literature. Illari recently argued that good explanations are subject to both ontic and epistemic constraints: they must describe mechanisms in the world (ontic aim) in such fashion that they provide understanding of their workings (epistemic aim). Elaborating upon Illari’s ‘integration’ account, I argue that causal role function discovery of mechanisms and their components is an epistemic prerequisite for achieving these two aims. (...)
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  4. António Zilhão (forthcoming). Free Will and Rationality. Axiomathes:1-14.
    In this paper I analyse different justifications for the claim that the minor premise of the libertarian argument is true, namely, intuition, van Inwagen’s argument from moral responsibility and an argument from rationality. I claim none of these is satisfactory. I conclude by suggesting a possible way of interpreting the meaning of the free will intuition libertarians claim we have.
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  5. João Barbosa (forthcoming). Big Bang, an Idea Projected Beyond Cosmology: The Possible Contribution of Thematic Analysis to the Understanding of This Success. Axiomathes:1-7.
    The big bang idea is not only a dominant idea in cosmology but also a very successfully idea out of cosmology. Although sometimes just in metaphorical sense, the big bang idea is present, since some decades, in a variety of domains such as natural sciences, humanities, social sciences, arts, and it also has a great acceptance by the general public. Furthermore, the term Big Bang has become increasingly popular and currently it is often used with very different purposes, including commercial (...)
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  6. Elena Casetta & Jorge Marques da Silva (forthcoming). Biodiversity Surgery: Some Epistemological Challenges in Facing Extinction. Axiomathes:1-13.
    Biological conservation has a long story, but what distinguishes Conservation Biology from previous conservation fields is its multidisciplinary scope and its character as a mission-oriented crisis discipline. These characteristics suggested the introduction of the metaphor of biological conservation as a sort of surgery. This paper is about the initial stages of such surgery. Firstly, some data about the so-called “Big Sixth”—the disease—will be presented together with some information about Conservation Biology—the surgeon. Then epistemic and epistemological difficulties in extinction assessment and (...)
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  7. João L. Cordovil (forthcoming). Contemporary Quantum Physics Metaphysical Challenge: Looking for a Relational Metaphysics. Axiomathes:1-11.
    Traditionally, Physics has been dominated by the image of objects, that is, by the atomistic metaphysics of absolutely intrinsic properties of qualitatively unchangeable individual entities. The first major challenge to this metaphysics inside physics comes with quantum mechanics, specifically with the well-known phenomenon known as ‘quantum entanglement’. From quantum entanglement it seems that we can conclude that: quantum objects are not independent entities; wholes have an ontological priority over their parts . However, it is arguable that is too risky to (...)
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  8. Jorge Marques da Silva & Elena Casetta (forthcoming). The Evolutionary Stages of Plant Physiology and a Plea for Transdisciplinarity. Axiomathes:1-11.
    In this paper, the need of increasing transdisciplinarity research is advocated. After having set out some peculiarity of transdisciplinarity compared with related concepts such as multidisciplinarity and interdisciplinarity, four evolutionary stages of scientific disciplines, based on a model recently proposed are presented. This model is then applied to the case of Plant Physiology in order to attempt an evaluation of the potential for transdisciplinary engagement of the discipline, and each of the four stages of the discipline is evaluated. In conclusion, (...)
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  9. L. Dappiano (forthcoming). La holologia come progetto di metafisica descrittiva. Le parti e l'intero nella concezione di Aristotele. I'. Axiomathes.
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  10. Vladimir Drekalović (forthcoming). Some Aspects of Understanding Mathematical Reality: Existence, Platonism, Discovery. Axiomathes:1-21.
    The sum of all objects of a science, the objects’ features and their mutual relations compose the reality described by that sense. The reality described by mathematics consists of objects such as sets, functions, algebraic structures, etc. Generally speaking, the use of terms reality and existence, in relation to describing various objects’ characteristics, usually implies an employment of physical and perceptible attributes. This is not the case in mathematics. Its reality and the existence of its objects, leaving aside its application, (...)
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  11. Sergio A. Gallegos (forthcoming). Measurement and Metaphysics in van Fraassen’s Scientific Representation. Axiomathes:1-15.
    Van Fraassen has presented in Scientific Representation an attractive notion of measurement as an important part of the empiricist structuralism that he endorses. However, he has been criticized on the grounds that both his notion of measurement and his empiricist structuralism force him to do the very thing he objects to in other philosophical projects—to endorse a controversial metaphysics. This paper proposes a defense of van Fraassen by arguing that his project is indeed a ‘metaphysical’ project, but one which is (...)
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  12. Nino Guallart (forthcoming). An Overview of Type Theories. Axiomathes:1-17.
    Pure type systems arise as a generalisation of simply typed lambda calculus. The contemporary development of mathematics has renewed the interest in type theories, as they are not just the object of mere historical research, but have an active role in the development of computational science and core mathematics. It is worth exploring some of them in depth, particularly predicative Martin-Löf’s intuitionistic type theory and impredicative Coquand’s calculus of constructions. The logical and philosophical differences and similarities between them will be (...)
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  13. Reinhard Kahle (forthcoming). What is a Proof? Axiomathes:1-13.
    In this programmatic paper we renew the well-known question “What is a proof?”. Starting from the challenge of the mathematical community by computer assisted theorem provers we discuss in the first part how the experiences from examinations of proofs can help to sharpen the question. In the second part we have a look to the new challenge given by “big proofs”.
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  14. Seremeti Lambrini & Kameas Achilles (forthcoming). Composable Relations Induced in Networks of Aligned Ontologies: A Category Theoretic Approach. Axiomathes:1-27.
    A network of aligned ontologies is a distributed system, whose components (constituent ontologies) are interacting and interoperating, the result of this interaction being, either the extension of local assertions, which are valid within each individual ontology, to global assertions holding between remote ontology syntactic entities (concepts, individuals) through a network path, or to local assertions holding between local entities of an ontology, but induced by remote ontologies, through a cycle in the network. The mechanism for achieving this interaction is the (...)
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  15. Carlos Lobo, Cleverson Leite Bastos & Carlos Eduardo de Carvalho Vargas (forthcoming). On Essentialism and Existentialism in the Husserlian Platonism: A Reflexion Based on Modal Logic. Axiomathes:1-9.
    Departing from modal logic, Jean-Yves Girard, as a logician interested in philosophy, presented a distinction between essentialism and existentialism in logic. Carlos Lobo reflected about the Girard’s concept to reinterpret the Husserlian Platonism in regard of the status of logical modalities. We start rescuing the notion of modal logic in the Edmund Husserl’s works, especially Formal and Transcendental Logic and First Philosophy. Developing this reflexion, we propose a new contribution to this discussion, reinterpreting the platonic influence in the Husserlian notions (...)
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  16. Tatiana Santos Marques (forthcoming). Beyond Cultural Myopia: The Challenge of the Bioethical Imagination. Axiomathes:1-15.
    The consolidation of the interdisciplinary field of bioethics in Europe and in the United States was accompanied by harsh criticisms by the social sciences; criticisms that have endured and been reshaped from the late twentieth century until the present. This article begins with a critical discussion of the myopia detected in a bioethical thought that has systematically disregarded its origins, both cultural and social . I claim that this deficit could be rectified if social scientists, in general, and sociologists, in (...)
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  17. Nicola Mößner (forthcoming). Visual Information and Scientific Understanding. Axiomathes:1-13.
    Without doubt, there is a widespread usage of visualisations in science. However, what exactly the epistemic status of these visual representations in science may be remains an open question. In the following, I will argue that at least some scientific visualisations are indispensible for our cognitive processes. My thesis will be that, with regard to the activity of learning, visual representations are of relevance in the sense of contributing to the aim of scientific understanding. Taking into account that understanding can (...)
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  18. Roman Murawski (forthcoming). Cracow Circle and Its Philosophy of Logic and Mathematics. Axiomathes:1-18.
    The paper is devoted to the presentation and analysis of the philosophical views concerning logic and mathematics of the leading members of Cracow Circle, i.e., of Jan Salamucha, Jan Franciszek Drewnowski and Józef Maria Bocheński. Their views on the problem of possible applicability of logical tools in metaphysical and theological researches is also discussed.
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  19. Ahti-Veikko J. Pietarinen (forthcoming). The Science to Save Us From Philosophy of Science. Axiomathes:1-18.
    Are knowledge and belief pivotal in science, as contemporary epistemology and philosophy of science nearly universally take them to be? I defend the view that scientists are not primarily concerned with knowing and that the methods of arriving at scientific hypotheses, models and scenarios do not commit us having stable beliefs about them. Instead, what drives scientific discovery is ignorance that scientists can cleverly exploit. Not an absence or negation of knowledge, ignorance concerns fundamental uncertainty, and is brought out by (...)
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  20. Maria Joana Rigato (forthcoming). Reductionism, Agency and Free Will. Axiomathes:1-10.
    In the context of the free will debate, both compatibilists and event-causal libertarians consider that the agent’s mental states and events are what directly causes her decision to act. However, according to the ‘disappearing agent’ objection, if the agent is nothing over and above her physical and mental components, which ultimately bring about her decision, and that decision remains undetermined up to the moment when it is made, then it is a chancy and uncontrolled event. According to agent-causalism, this sort (...)
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  21. Gil C. Santos (forthcoming). Upward and Downward Causation From a Relational-Horizontal Ontological Perspective. Axiomathes:1-18.
    Downward causation (DC) exercised by emergent properties of wholes upon their lower-level constituents’ properties has been accused of conceptual and metaphysical incoherence. Only upward causation is usually peacefully accepted. The aim of this paper is to criticize and refuse (1) the traditional hierarchical-vertical way of conceiving both types of causation, although preserving their deepest ontological significance, as well as (2) the widespread acceptance of the traditional atomistic-combinatorial view of the entities and the relations that constitute the so-called ‘emergence base’. Assuming (...)
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  22. Nicholas Schroeder (forthcoming). A Physicalistic Account of Emergentism. Axiomathes:1-16.
    Jaegwon Kim’s argument against non-reductive physicalism is well known. Many philosophers take Kim’s argument to also apply to emergentism. But this does not necessarily follow. In this paper, I will first briefly show why Kim’s argument against non-reductive physicalism need not apply to emergentism. Next, I will present a physicalistic account of emergentism offered by Jason Megill in his paper “A Defense of Emergence.” This will be followed by an examination of some of the limitations of Megill’s account, in particular, (...)
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  23. Jairo José Silvdaa (forthcoming). Structuralism and the Applicability of Mathematics. Axiomathes.
    In this paper I argue for the view that structuralism offers the best perspective for an acceptable account of the applicability of mathematics in the empirical sciences. Structuralism, as I understand it, is the view that mathematics is not the science of a particular type of objects, but of structural properties of arbitrary domains of entities, regardless of whether they are actually existing, merely presupposed or only intentionally intended.
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  24. Fernando R. Velázquez-Quesada (forthcoming). Reasoning Processes as Epistemic Dynamics. Axiomathes:1-20.
    This work proposes an understanding of deductive, default and abductive reasoning as different instances of the same phenomenon: epistemic dynamics. It discusses the main intuitions behind each one of these reasoning processes, and suggest how they can be understood as different epistemic actions that modify an agent’s knowledge and/or beliefs in a different way, making formal the discussion with the use of the dynamic epistemic logic framework. The ideas in this paper put the studied processes under the same umbrella, thus (...)
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